On solving the provided question, we can say that As a result, we lack sufficient data at the hypothesis 0.01 level to declare that Josiah's new strategy has increased his driving speed.
What is null hypothesis?A null hypothesis is a statistical hypothesis that states that a certain collection of observations has no statistical significance. Hypotheses are examined using sample data to determine their viability. It is also known as "zero" and is represented by the symbol H0. Researchers begin with the assumption that there is a relationship between the variables. The null hypothesis, on the other hand, asserts that there is no such link. Although the null hypothesis may not appear to be significant, it is an important component of research.
Part A: The following are the hypotheses for Josiah's test:
There is no statistically significant change in the average speed of Josiah's hits utilising the old and new techniques. In scientific notation: H0 = 1 - 2 = 0, where 1 represents the population mean speed of hits using the old approach and 2 represents the population mean speed of hits using the new technique.
Alternative hypothesis: There is a substantial difference in the average speed of Josiah's hits when employing the old and new techniques, with the new technique producing a faster average speed. In mathematical terms: Ha: 1 - 2 0.
Part B: We'll use a t-test because we're comparing two means and don't know the population standard deviation. We will assume that the sample sizes are big enough for the Central Limit Theorem to apply, and that the sample means have a normal distribution. We also suppose that the two samples are independent, which means that the speed of one strike is independent of the speed of the other.
Part C: To run the test, we must compute the test statistic and compare it to the critical value with 44 degrees of freedom (n1 + n2 - 2).
The test statistic is calculated as follows:
[tex]t = (x1 - x2 - 0) / (s / \sqrt(n1 + n2 - 2))[/tex]
where x1 represents the sample mean speed using the old approach, x2 represents the sample mean speed using the new technique, s represents the pooled standard deviation, and n1 and n2 represent the sample sizes.
When we plug in the values, we get:
[tex]t = (82 - 83.2 - 0) / (4.6 / \sqrt(45)) = -2.06[/tex]
At the 0.01 significance level, the critical value for a one-tailed t-test with 44 degrees of freedom is -2.681. We cannot reject the null hypothesis since our test statistic (-2.06) is bigger than the crucial threshold.
As a result, we lack sufficient data at the 0.01 level to declare that Josiah's new strategy has increased his driving speed.
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What is the period for the following graph?
A. 180
B. 270
C. 90
D. 360
The period for the following graph is 90 degrees. So correct option is C.
Describe Period?In mathematics, a period is a specific type of repetition in a function or a sequence. A period is the smallest positive value of a constant T for which a function or a sequence f(x + T) = f(x) for all x.
Periods are used to describe the behavior of functions and sequences that exhibit a repeating pattern. The length of the period determines the frequency of the pattern, and it is often used to describe the periodicity of functions in various applications, such as signal processing, harmonic analysis, and Fourier series.
For example, the sine function sin(x) is periodic with a period of 2π. This means that sin(x + 2π) = sin(x) for all x. Similarly, the cosine function cos(x) is also periodic with a period of 2π. Other common examples of periodic functions include the tangent function, cotangent function, and exponential function.
In addition to their applications in mathematics, periods also have practical applications in fields such as physics, engineering, and computer science, where they are used to model periodic phenomena such as waves and oscillations.
Overall, periods are an important concept in mathematics and are used to describe the repeating patterns that are found in many mathematical functions and sequences.
The period for the following graph is 90 degrees.
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A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.
Given the survey, the completed table is as follows:
Print Electronic Total
Youth 23 40 63
Adults 23 36 59
Total 46 76 122
To fill in the missing values, we can use the fact that the total number of youths is 63 and the total number of adults is 59. Thus, we can subtract the number of known values from the total to find the missing values.
For the number of youths who prefer printed books, we have:
Print + Electronic = Total
Print + ? = 63
23 + ? = 63
? = 63 - 23
? = 40
For the number of adults who prefer electronic books, we have:
Print + Electronic = Total
? + Electronic = 59
23 + Electronic = 59
Electronic = 59 - 23
Electronic = 36
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A transformation T is linear if and only if T(c1v1 + c2v2) = c1T(v1) + c2T(v2) for all v1 and v2 in the domain of T and for all scalars c1 and c2.
a. true
b. false
"A transformation T is linear if and only if [tex]T(c1v1 + c2v2) = c1T(v1) + c2T(v2)[/tex] for all v1 and v2 in the domain of T and for all scalars c1 and c2" is true.
To understand why this statement is true, we need to first define what it means for a transformation to be linear.
A linear transformation is a function that satisfies two properties:
Additivity and homogeneity.
Additivity means that [tex]T(u + v) = T(u) + T(v)[/tex]for all vectors u and v in the domain of T, while homogeneity means that [tex]T(cv) = cT(v)[/tex] for all vectors v in the domain of T and all scalars c.
Let's look at the given statement. It states that [tex]T(c1v1 + c2v2) = c1T(v1) + c2T(v2)[/tex] for all v1 and v2 in the domain of T and for all scalars c1 and c2.
This is equivalent to saying that T is both additive and homogeneous, since we can rewrite the statement as [tex]T(c1v1 + c2v2) = T(c1v1) + T(c2v2) = c1T(v1) + c2T(v2).[/tex]
A transformation satisfies the given statement, it is both additive and homogeneous, and hence it is linear.
On the other hand, if a transformation is linear, it must satisfy the given statement by definition.
The statement "A transformation T is linear if and only if [tex]T(c1v1 + c2v2) = c1T(v1) + c2T(v2[/tex]) for all v1 and v2 in the domain of T and for all scalars c1 and c2" is true.
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The volume of a right cone is 168
π
π units
3
3
. If its diameter measures 12 units, find its height.
Answer:48
Step-by-step explanation:
in a two-way anova test, the sum of squares for factor a is based on the sum of the squared differences between the mean for each level of factor a and the
Grand mean of the response variable. In a two-way ANOVA (Analysis of Variance) test, the sum of squares for factor A (also called the "between-groups" sum of squares for factor A) measures the variation in the response variable that can be attributed to the levels of factor A.
Specifically, it measures the sum of the squared differences between the mean of each level of factor A and the grand mean of the response variable (which is the mean of all the observations across all levels of factor A and factor B).
Mathematically, the sum of squares for factor A can be expressed as:
SSA = ∑ni(ȳi.-ȳ..)²
where ni is the sample size of the i-th level of factor A, ȳi. is the mean of the i-th level of factor A, and ȳ.. is the grand mean of the response variable.
In other words, the sum of squares for factor A represents the variation in the response variable that is due to the differences between the means of the levels of factor A, after taking into account the overall mean of the response variable.
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In a two-way ANOVA test, the sum of squares for factor A is based on the sum of the squared differences between the mean for each level of factor A and the overall mean of the data.
This represents the variation in the data that can be attributed to the different levels of factor A.
The sum of squares for factor B is calculated in the same way, but for the levels of factor B instead.
The interaction term in the ANOVA represents the variation that cannot be explained by either factor A or factor B
alone, but is instead due to the combination of the two factors.
Overall, the ANOVA test allows us to determine if there are significant differences between the means of different
groups, and if these differences are due to the factors being tested or random chance.
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In which direction will the ionic paste allow the electrons to flow within a battery? O negative side to negative side negative side to positive side positive side to negative side positive side to positive side
Answer:
The electrons in the battery will flow from the negative electrode (anode) to the positive electrode (cathode) through an external circuit, driven by the potential difference created by the ionic paste.
Step-by-step explanation:
In a battery, the ionic paste, which is usually an electrolyte solution, allows the flow of ions between the electrodes of the battery. This flow of ions creates a potential difference between the two electrodes, which in turn creates an electric field.
The electrons in the battery will flow from the negative electrode (anode) to the positive electrode (cathode) through an external circuit, driven by the potential difference created by the ionic paste. As the electrons move through the external circuit, they can be used to power a device or do useful work.
It is important to note that the flow of electrons occurs only in the external circuit, while the flow of ions occurs only within the battery itself, through the ionic paste. The flow of electrons and ions is connected but separate processes that work together to generate electrical energy in a battery.
Can you guys tell me what I did wrong
The circumference of the circle actually is 25.12 inches
What did you wrong?So the diameter is 8 inches, and the circumference is pi times the diameter, so you must have:
c = 3.14*8in = 25.12 inches
That is the circumference of the circle, im not sure of what did you did to ger 43.96 inches.
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Write the equation for the line shown in the given graph. Give your answer in slope-intercept form, y=mx+b. Use points that clearly cross the interceptions of the graph paper
Answer:
y=1.6x+3
Step-by-step explanation:
Answer: y=1/2x+3 i don’t know if I’m right, be warned!
Step-by-step explanation:
first find the slope (the m) by doing rise over run or you can find 2 points and find slope by using subtraction. Then get the +b by finding out where the line crosses the y intercept and put that all together leaving the y and x variables the same.
The function y=5. 45+1. 05(x+7) can be used to determine the cost in dollars for a prepaid cell phone plan of x minutes What is the rate of change with respect to the number of minutes purchased
According to the function, the rate of change with respect to the number of minutes purchased is $1.05 per minute.
The function given in the problem is y = 5.45 + 1.05(x + 7), where y represents the cost in dollars for a prepaid cell phone plan of x minutes. This means that if you want to know how much it will cost to purchase a certain number of minutes, you can simply plug in that number for x and the equation will give you the corresponding cost in dollars.
Now, the rate of change with respect to the number of minutes purchased is also known as the slope of the function. This tells us how much the cost will change for each additional minute purchased. To find the slope, we need to take the derivative of the function with respect to x.
The derivative of y with respect to x is given by:
dy/dx = 1.05
This means that for each additional minute purchased, the cost will increase by $1.05.
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A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
The measure of variability that the charity should use to accurately represent the data is B. The IQR of 13 is the most accurate to use, since the data is skewed.
Why is the IQR the better option ?The charity should use the Interquartile Range (IQR) as the measure of variability since the data is skewed. The IQR measures the range of the middle 50% of the data, which is less affected by outliers or skewed data.
Q1 is the median of the first half of the data: 5, 5, 6, 8, 10, 15 (Q1 = 7)
Q3 is the median of the second half of the data: 15, 18, 20, 20, 20, 20, 20 (Q3 = 20)
Now, we can calculate the IQR:
IQR = Q3 - Q1
IQR = 20 - 7
IQR = 13
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13PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
The approximate shortest distance, to the art hundredth of a foot, between first and third base is 127.28 feet.
What is distance?Distance refers to the amount of space between two objects or points. It can be measured in units such as meters, kilometers, miles, or feet, and is commonly used to describe the length or extent of a journey, path, or separation.
According to the given information:
The distance between first and third base in a baseball diamond is the diagonal of the square with side lengths of 90 feet. Using the Pythagorean theorem, we can calculate this distance as follows:
d² = 90² + 90²
d²= 8,100 + 8,100
d² = 16,200
d = √(16,200)
d ≈ 127.28 feet
Therefore, the approximate shortest distance, to the nearest hundredth of a foot, between first and third base is 127.28 feet. The correct answer is option (b).
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Find the value of X.
The angle x subtended by the arc of the circle between the two tangents is 130 degrees.
What is tangent?In trigonometry, the tangent (often abbreviated as tan) is a mathematical function that describes the ratio of the length of the side opposite to an angle in a right-angled triangle to the length of the adjacent side.
According to given information:The formula 50=180-x represents the fact that the angle between two tangents drawn to a circle from an external point is equal to the difference of the angles subtended by the tangents in the opposite segment of the circle.
Using this formula, we can solve for x as follows:
50 = 180 - x (given)
x = 180 - 50 (subtracting 50 from both sides)
x = 130 (simplifying)
Therefore, the angle x subtended by the arc of the circle between the two tangents is 130 degrees.
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The Gades Foundation and HBM Corporation are eager to donate generously to their favorite charities.
The Gades Foundation donated
$
250
$250dollar sign, 250 in the first month, and each month afterward their cumulative donation total increases by
$
100
$100dollar sign, 100.
The HBM Corporation donated
$
64
$64dollar sign, 64 in the first month, and each month afterward their cumulative donation total increases by
75
%
75%75, percent.
They started making donations at the same time, and they both make their monthly donations at the beginning of each month.
What is the first month in which HBM Corporation's cumulative donation total exceeds the Gades Foundations' cumulative total?
The first month in which HBM Corporation's cumulative donation total exceeds the Gades Foundation's cumulative total is the sixth month. This is calculated by finding an equation for each organization's cumulative donation total and solving an inequality.
Let's start by finding an equation for the cumulative donation total for each organization after n months. Let GF(n) and HBM(n) represent the cumulative donation totals for the Gades Foundation and HBM Corporation, respectively.
The Gades Foundation's cumulative donation total can be represented by the arithmetic sequence
GF(n) = 250 + 100(n-1)
The HBM Corporation's cumulative donation total can be represented by the geometric sequence
HBM(n) = 64(1.75)ⁿ⁻¹
To find the month in which HBM Corporation's cumulative donation total exceeds the Gades Foundation's cumulative total, we need to solve the inequality
HBM(n) > GF(n)
Substituting the expressions for GF(n) and HBM(n), we get
64(1.75)ⁿ⁻¹ > 250 + 100(n-1)
Simplifying and solving for n, we get
1.75ⁿ⁻¹ > (250/64) + (100/64)(n-1)
Taking the logarithm of both sides, we get
(n-1)log(1.75) > log(250/64) + log(1+(100/250)(n-1))
Using a calculator to evaluate the logarithms, we can solve for n
n > 5.74
Since n must be an integer, the smallest integer greater than 5.74 is 6. Therefore, the first month in the Gades Foundation's cumulative total is the sixth month.
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3. Find the area of the shape below. Break
the larger shape into smaller pieces if needed.
8.4m
4m
11.4m
8m
ak direst
boyut ved FI
The total area of the given figure is 85.2m² respectively.
What is the area?The quantity of unit squares that cover a closed figure's surface is its area.
Square units like cm² and m² are used to measure area.
A shape's area is a two-dimensional measurement.
The space inside the perimeter or limit of a closed shape is referred to as the "area".
Area of rectangle one:
= l*b
= 4*11.4
= 45.6m²
Area of rectangle second:
= l*b
= 4*8.4
= 33.6m²
Area of the triangle:
= 1/2*b*h
= 1/2*4*(11.4-8.4)
= 1/2*4*3
= 2*3
= 6m²
Total area of the figure: 45.6 + 33.6 + 6 = 85.2m²
Therefore, the total area of the given figure is 85.2m² respectively.
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Eric puts several CDS in a case . four CDS are country, six are rap and ten are pop. if Eric picks one CD from the case without looking, what is the probability that he will pick a pop CD.
A 3/10
B 1/4
C 1/3
D 1/2
Answer:
There are a total of 4 + 6 + 10 = 20 CDs in the case. Eric has a 10/20 = 1/2 chance of picking a pop CD since there are 10 pop CDs in the case.
Therefore, the answer is D) 1/2.
Answer:
Step-by-step explanation:
Eric has a total of 4 + 6 + 10 = 20 CDs in the case.
The probability of picking a pop CD is the number of pop CDs divided by the total number of CDs:
P(pick a pop CD) = 10/20 = 1/2 = 0.5
Therefore, the probability of Eric picking a pop CD is 0.5 or 50%.
Write the equation in standard form for the circle with center (-3,0) passing through (-3,3/2)
The requried equation of the circle with center (-3,0) passing through (-3,3/2) is 4(x + 3)² + 4y² = 9
We are given that the center of the circle is (-3,0) and it passes through (-3, 3/2). Since the x-coordinate of both points is the same, we know that the center lies on a vertical line passing through (-3, 3/2). Therefore, the distance between the center and the point (-3, 3/2) is the radius of the circle.
The radius is found using the distance formula:
r = √[(x₂ - x₁)² + (y₂ - ₁)²]
r = √[(-3 - (-3))² + (0 - 3/2)²] = √[9/4] = 3/2
So, the equation of the circle in standard form is:
(x - (-3))² + (y - 0)² = (3/2)²
(x + 3)² + y² = 9/4
4(x + 3)² + 4y² = 9
Therefore, the standard form of the equation for the circle is: 4(x + 3)² + 4y² = 9
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Kat is a senior in high school, and wants to throw a graduation party for here and her friends. She will pay $225 for the venue and $80 per hour for the DJ. She has saved $410 and will earn another $560 by the party.
a) write an inequality to represent the possible number of hours Kat can afford to book the DJ
b) using your inequality in part a, what is one possible length cat can affairs to book the DJ?
The inequality to represent the possible number of hours Kat can afford to book the DJ is 80x + 225 ≤ 970 and one possible length Kat can afford to book the DJ is 9 hours.
Understanding Inequality with respect to Kat(a) Let x be the number of hours that Kat can book the DJ. Then, the total cost of the DJ is 80x, and the total cost of the party is 80x + 225.
Since Kat has $410 saved and will earn another $560, the total amount she can spend on the party is $410 + $560 = $970.
Therefore, we can write the following inequality to represent the possible number of hours Kat can afford to book the DJ:
80x + 225 ≤ 970
b) To solve for x, we can start by subtracting 225 from both sides of the inequality:
80x ≤ 745
Then, we can divide both sides by 80:
x ≤ 9.3125
Since Kat can only book the DJ in whole hours, the largest integer less than or equal to 9.3125 is 9. Therefore, one possible length Kat can afford to book the DJ is 9 hours.
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Probability basics probably
Needing urgent help please
I have the first question done I just need the other 2
The results from the probability (rounded to 4 decimal places) are:
2. Exactly two of the marbles are red = 0.4460.
3. None of the marbles are red = 0.5380.
What is probability?Probability is a measure of the likelihood of an event occurring, expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty.
Therefore:
The total number of marbles = 6 + 5 + 8 = 19.
2. The Probability that exactly two marbles are red:
The number of ways to choose 2 red marbles out of 6 red marbles = C(6,2), using the combination formula, without replacement.
To choose 1 marble out of 13 non-red marbles (5 white + 8 blue) = C(13,1)
To choose 3 marbles out of 19 marbles = C(19,3),
using the combination formula for choosing 3 items out of 19 without replacement.
The probability of choosing exactly 2 red marbles =
P(exactly 2 red) = (C(6,2) * C(13,1)) / C(19,3)
Plugging in the values, we get:
P(exactly 2 red) = (C(6,2) * C(13,1)) / C(19,3)
≈ 0.4460 (to 4 decimal places)
3. The probability that none are red:
To choose 3 marbles out of 13 non-red marbles (5 white + 8 blue) = C(13,3), using the combination formula. without replacement.
The probability of choosing none of the marbles as red =
P(none red) = C(13,3) / C(19,3).
Plugging in the values, we get:
P(none red) = C(13,3) / C(19,3)
≈ 0.5380 (to 4 decimal places)
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Let f be a function with first derivative given by fâ²(x)=x(xâ5)2(x+1). At what value of x does f have a relative minimum? 0 only -1 only -1 and 0 only -1, 0, and 5 only 0 and 5 only -1 and 5 only 5 only
At x=0 only, the function f with first derivative f'(x) = x(x-5)²(x+1) has a relative minimum.
Hence the correct option is (A) 0 only.
The first derivative of the function is,
f'(x) = x(x-5)²(x+1)
Differentiating the function with respect to x we get, The second derivative of the function is,
f''(x) = x(x-5)².(1) + x(x+1).2(x-5) + (x-5)²(x+1).1 = (x-5)² (x+x+1) + 2x(x+1)(x-5) = (x-5)²(2x+1) + 2x(x+1)(x-5)
Now, f'(x) = 0 gives,
x(x-5)²(x+1) = 0
We know that if product of more than one terms is zero then either of them is zero.
Either, x=0
Or, (x-5)² = 0
x-5 = 0
x = 5
Or, x+1 = 0
x = -1
So the extremum points of the function are, x = -1, 0, 5.
At x=-1, f''(-1) = (-6)²(-2+1) + 2(-1)(-1+1)(-6) = -36
At x=0, f''(0) = (-5)²*1 + 0 = 25
At x=5, f''(5) = 0 + 0 = 0
Since the value of second derivative is positive at only x = 0.
Thus, at x = 0 only the function has a relative minimum.
Hence the correct option is (A).
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sweets are sold loose, or pre-packed in 120g bags
the 120g bags are £1.49 each.
the loose sweets are £0.89 for 100g.
by calculating the price per gram, determine which is better value
show your working.
The loose sweets are better value, as they cost only £0.0089 per gram, compared to £0.01242 per gram for the pre-packed sweets.
To solve this problem
We need to calculate their price per gram.
Price per gram of pre-packed sweets:
120 g of pre-packed sweets cost £1.49
1 g of pre-packed sweets costs £1.49 / 120 = £0.01242 (rounded to 5 decimal places)
Price per gram of loose sweets:
100 g of loose sweets cost £0.89
1 g of loose sweets costs £0.89 / 100 = £0.0089
So, the loose sweets are better value, as they cost only £0.0089 per gram, compared to £0.01242 per gram for the pre-packed sweets.
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Find the surface area the regular pyramid 10m 8m 6.9m
The requried surface area of the regular pyramid is 147.6 cubic meters.
The surface area of the regular pyramid is given as:
Surface area = base area + 1/2 [perimeter×slant height]
Surface area = 1/2 × base × height + 1/2 [perimeter×slant height]
Surface area =1/2 × 8 × 6.9 + 1/2 [3×8 × 10]
Surface area =147.6 cubic meters
Thus, the requried surface area of the regular pyramid is 147.6 cubic meters.
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Once chosen, a score, event, or participant CANNOT be returned to the population to be selected again. This technique is referred to as
a. random sampling without replacement.
b. random sampling with replacement.
c. stratified random sampling.
d. convenience sampling.
The technique being described is random sampling without replacement, which is option a.
This technique is called "sampling without replacement."
However, you've also mentioned convenience sampling, which is a different method.
Let me briefly explain both concepts.
Sampling without replacement is a method in which each item, score, event, or participant is chosen from the population and is not returned to the pool for further selections.
This ensures that each element can only be selected once, eliminating the chance of duplication in the sample.
This method is often used in surveys, experiments, and research to maintain the independence of observations and provide a more accurate representation of the population.
Select an item, score, event, or participant from the population.
Record the selected item and remove it from the population.
Repeat steps 1-2 until the desired sample size is obtained.
Convenience sampling, on the other hand, is a non-probability sampling method where researchers select participants based on their accessibility and ease of recruitment.
This approach may introduce bias and limit the generalizability of the study results, as it does not ensure that the sample is representative of the population.
Identify the target population.
Recruit participants who are easily accessible and willing to participate.
Collect data from the selected participants.
In summary, sampling without replacement is a technique that prevents the same item from being selected more than once, while convenience sampling is an approach that focuses on selecting participants based on their accessibility. Both methods serve different purposes in research and should be chosen based on the study's objectives and available resources.
Option a is correct.
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yo can i get some help
Answer:
on what
Step-by-step explanation:
Identify the graph of q(x)=−92x2 .
The graph of the function q(x) = -9/2x^2 is a downward-facing parabola with vertex at the origin (0, 0).
How to Identify the graph of q(x)=−92x2The graph of the quadratic function q(x) = -9/2x^2 is a downward facing parabola because the coefficient of x^2 is negative. The vertex of the parabola can be found by using the formula x = -b/2a, where a is the coefficient of x^2 and b is the coefficient of x. In this case, a = -9/2 and b = 0, so the vertex is at x = 0.
To find the y-coordinate of the vertex, we substitute x = 0 into the equation q(x) = -9/2x^2. This gives us q(0) = 0, so the vertex is at the point (0, 0).
Since the coefficient of x^2 is negative, the graph of the function opens downwards. The value of the function decreases as we move away from the vertex in either direction.
Therefore, the graph of the function q(x) = -9/2x^2 is a downward-facing parabola with vertex at the origin (0, 0).
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A shop sells skirts for 24 and hats for 15
Write an expression for the cost in pounds of x skirts and y hats
The final expression that gives us the cost of x skirts and y hats in pounds is 24x + 15y.
In this case, our variables are x and y, which represent the number of skirts and hats, respectively. Our constants are 24 and 15, which represent the cost of one skirt and one hat, respectively. And our operations are multiplication and addition.
The cost of x skirts is simply the cost of one skirt (which is 24) multiplied by the number of skirts (which is x). So, the expression for the cost of x skirts would be:
24x
Similarly, the cost of y hats is the cost of one hat (which is 15) multiplied by the number of hats (which is y). So, the expression for the cost of y hats would be:
15y
To find the total cost of x skirts and y hats, we simply add the two expressions together. Thus, the expression for the cost in pounds of x skirts and y hats is:
24x + 15y
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What is this? There should be a screenshot below.
Answer:
156
Step-by-step explanation:
Use the system of PEMDAS.
6*3 = 18
6*4 = 24
6*5 = 30
6*8 = 48
2[3*4+1/2(3*4)] = 36
Add all.
18+24+30+48+36 = 156
The figure is a kite. If m∠WXY=13x+24, m∠WZY=35, and m∠ZWX=13x+4, find m∠ZYX
If the figure "WXYZ" is a kite and m∠WXY=13x+24, then the measure of the angle-ZYX is 101.6 degrees.
A "Kite" is defined as quadri-lateral which has two pairs of "adjacent-sides" which are congruent and "one-pair" of "opposite-angles" which are congruent .
We know that the sum of all the vertices of the kite is 360 degree,
So, we add all the vertices of the kite,
We get,
⇒ m∠WXY + m∠WZY + m∠ZWX + m∠ZYX = 360°,
Substituting the values,
We get,
⇒ 13x + 24 + 35 + 13x + 4 + m∠ZYX = 360°,
⇒ 26x + 63 + m∠ZYX = 360°,
⇒ m∠ZYX = 360 - 63 - 26x,
⇒ m∠ZYX = 297 - 26x, ...equation(1)
We also know that, "two-angles of kite are equal where "unequal-sides" meet".
So, m∠ZWX = m∠ZYX,
Substituting the values,
We get,
⇒ 13x + 4 = m∠ZYX, ....equation(2),
Equating equation(1) and equation(2),
we get,
⇒ 13x + 4 = 297 - 26x,
⇒ x = 293/39,
Substituting this in equation(2),
We get,
⇒ 13(293/39) + 4 = m∠ZYX,
⇒ 293/3 + 4 = m∠ZYX,
⇒ m∠ZYX ≈ 101.6 degree.
Therefore, the measure of the angle ZYX is 101.6 degrees.
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The given question is incomplete, the complete question is
The figure WXYZ is a kite. If m∠WXY=13x+24, m∠WZY=35, and m∠ZWX=13x+4, find m∠ZYX?
Determine the value of y-intercept of a line with the given slope -3 that is a tangent
line to the curve y = -x² - 5x -5.
a. 0
b. -1
c. -3
d. -4
The y-intercept of the tangent line is b. -1
What is the y intercept of a line?The y-intercept of a line is the value of y at which the line crosses the y axis
To determine the value of y-intercept of a line with the given slope -3 that is a tangent line to the curve y = -x² - 5x -5.
We proceed as follows
First we differentiate the equation of the curve.
So, y = -x² - 5x -5.
dy/dx = d(-x² - 5x -5)/dx
= d-x²/dx - d5x/dx - d5/dx
= -2x - 5 - 0
= -2x - 5
Since the derivative of the curve equals the value of the tangent at the point, we have that
dy/dx = -3
-3 = -2x - 5
-3 + 5 = -2x
2 = -2x
x = 2/-2
x = -1
So, substituting x = -1 into the equation for y to find the y intercept, we have that
y = -x² - 5x -5.
y = -(-1)² - 5(-1) -5
= -1 + 5 - 5
= -1 + 0
= -1
So, the y-intercept is b. -1
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6PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer:
b. 8/17
Step-by-step explanation:
hope this helps ;)
a sink drips 2 fifths $\frac{2}{5}$ gallon of water in 4 hours. which rate is the unit rate of water dropped per day?
The unit rate of water dropped per day is [tex]$\frac{12}{5}$[/tex] gallons per day.
We can start by finding the unit rate of water dropped per hour.
If the sink drips [tex]$\frac{2}{5}$[/tex] gallon of water in 4 hours, then it drips [tex]\frac{1}{5}$[/tex] gallon of water in 2 hours (since [tex](\frac{2}{4} = \frac{1}{2}$).[/tex]
The unit rate of water dropped per hour is:
[tex]$\frac{1/5}{2} = \frac{1}{10}$[/tex] gallon per hour.
To find the unit rate of water dropped per day, we can multiply the unit rate per hour by the number of hours in a day:
[tex]$\frac{1}{10} \text{ gallon per hour} \cdot 24 \text{ hours per day} = \frac{12}{5} \text{ gallons per day}$[/tex]
Therefore, the unit rate of water dropped per day is [tex]$\frac{12}{5}$[/tex] gallons per day.
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The unit rate of water dropped per day is 12/5 gallons.
To find the unit rate of water dropped per day for a sink that drips 2/5 gallons of water in 4 hours, we'll follow these
steps:
Determine how many gallons of water are dripped in one hour.
Calculate the gallons of water dripped in 24 hours (one day).
Calculate gallons per hour.
Since the sink drips 2/5 gallons in 4 hours, we'll divide the gallons by the number of hours:
(2/5) / 4 = (2/5) × (1/4) = 2/20 = 1/10
So, the sink drips 1/10 gallons per hour.
Calculate gallons per day.
Now, we'll multiply the gallons per hour by 24 hours to find the gallons per day:
(1/10) × 24 = 24/10 = 12/5
The unit rate of water dropped per day is 12/5 gallons.
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