8. Katie surveyed people at a grocery store. She wanted to find out which animals were their
favorite pets. She asked the people she surveyed which animal they thought was the least
expensive to feed. The results are shown in the bar graph below.
Favorite Animal for a Pet
Number of Votes
1
8
6
N
O
Dog
Cat
Lizard
Bird
Animals
Which statement explains why Katie asked the wrong question?
OFewer people have lizards and birds for pets.
O The favorite animal for a pet is also the least expensive animal to feed.
O The least expensive animal to feed may not be the favorite animal for a pet.
An animal that is less expensive to buy could also be the favorite animal for a pet.
(1 point)
The statement "The least expensive animal to feed may not be the favorite animal for a pet" explains why Katie asked the wrong question.
What is graphs?
Graphs are used by mathematicians to logically express or chart facts and values visually. A graph point typically depicts the relationship between several things.
While the cost of feeding an animal may be an important consideration for some people when choosing a pet, it is not necessarily the only or even the most important factor. Many people choose pets based on factors such as their personality, behavior, and the amount of attention and care they require.
Therefore, the animal that is least expensive to feed may not necessarily be the animal that people consider to be their favorite pet.
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three or more lines that contain the same point are called?
Answer:
concurrent lines
Step-by-step explanation:
If there are more than 2 lines (or in this case, 3 lines) that meet at a singular and same point, then they are called concurrent lines.
The equation of line t is y= –1/8x–8. Line u is parallel to line t and passes through (8,5). What is the equation of line u?
The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.
Given that:
Equation, y = - (1/8)x - 8
The slope of the parallel lines is equal. Then the equation of the parallel line is given as,
y = -(1/8)x + c
The equation passes through (8, 5), then we have
5 = -(1/8) * 8 + c
5 = - 1 + c
c = 6
The equation of the parallel line will be y = -(1/8)x + 6.
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Which of the following F values, if obtained from an experiment, would lead to rejecting the null hypothesis if a = .01?
Group of answer choices F = 5.00, df = 3,18; F = 4.08, df = 3,8; none of the descriptive alternatives are correct. F = 150.00, df = 1,1;
None of the descriptive alternatives are correct.
What is the null hypothesis?
In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.
Here, we have
Given: if obtained from an experiment, would lead to rejecting the null hypothesis if a = .01.
for 1st choice ; p-value =fdist(5,3,18)= 0.0107
for 2nd choice : p-value =fdist(4.08,3,8)=0.0496
for 3rd choice : p-value =fdist(150,1,1)=0.052
since none of the choices have p value less than 0.01; none of these would lead to a rejected null hypothesis.
Hence, none of the descriptive alternatives are correct.
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Find the margin of error for the 95% confidence interval used to estimate the population proportion.
n = 163, x = 96
Select one:
a. 0.00291
b. 0.0755
c. 0.132
d. 0.0680
The margin of error for the 95% confidence interval used to estimate the population proportion is 0.0680. So, the correct answer is option d.
Calculate the sample proportion:
The formula (p) = x/n, where x is the sample size (163) and n is the number of successes (96), yields the sample proportion.
Therefore, the sample proportion is 96/163 = 0.5896.
Calculate the standard error:
The formula SE(p) yields the sample proportion's standard error = √[p(1-p)/n], where n is the sample size, and p is the sample proportion.
Consequently, the sample proportion's standard error is as follows:
SE(p) = √[0.5896(1-0.5896)/163] = 0.037
Calculate the margin of error:
The margin of error is given by the formula ME = z × SE(p), where SE(p) is the standard error of the sample proportion and z is the z-score corresponding to the desired level of confidence.
The z-score for a 95% confidence interval is 1.96.
As a result, the error margin is:
ME = 1.96 × 0.037 = 0.0680
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Solve the equation. Round to the nearest tenth if necessary. x^2+4=29
6) What is the difference between
supplementary and complementary
angels?
Complementary angles are two angles whose sum is equal to 90 degrees. In other words, if you add the measures of two complementary angles, you get 90 degrees. Complementary angles are often referred to as "complements" for short. For example, if one angle is 30 degrees, its complement would be 60 degrees.
Supplementary angles, on the other hand, are two angles whose sum is equal to 180 degrees. In other words, if you add the measures of two supplementary angles, you get 180 degrees. Supplementary angles are often referred to as "supplements" for short. For example, if one angle is 120 degrees, its supplement would be 60 degrees.
Trapezoid ABCD undergoes the series of transformations listed to result in Trapezoid EFGH. Determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD.
A
Translation down, followed by rotation of
90°
, followed by dilation by
a scale factor of 3.
congruent enlargement reduction B
Rotation of 45°
, followed by a reflection,
followed by a translation left.
congruent enlargement reduction C
Dilation by a scale factor of 12
,
followed by a translation up,
followed by a reflection.
congruent enlargement reduction D
Reflection, followed by a
dilation of a scale factor of 1,
followed by a rotation of 180°
.
congruent enlargement reduction
The correct answer is D. Trapezoid EFGH is congruent to Trapezoid ABCD after undergoing transformation D.
How to Determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD.Let's first define the transformations:
A. Translation down, followed by rotation of 90°, followed by dilation by a scale factor of 3.
B. Rotation of 45°, followed by a reflection, followed by a translation left.
C. Dilation by a scale factor of 12, followed by a translation up, followed by a reflection.
D. Reflection, followed by a dilation of a scale factor of 1, followed by a rotation of 180°.
To determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD, we need to analyze the effects of each transformation on the trapezoid.
A. Translation down, followed by rotation of 90°, followed by dilation by a scale factor of 3.
This transformation involves moving the trapezoid down, rotating it 90 degrees clockwise, and then increasing its size by a scale factor of 3. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.
B. Rotation of 45°, followed by a reflection, followed by a translation left.
This transformation involves rotating the trapezoid 45 degrees clockwise, reflecting it across a line of reflection, and then moving it left. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.
C. Dilation by a scale factor of 12, followed by a translation up, followed by a reflection.
This transformation involves increasing the size of the trapezoid by a scale factor of 12, moving it up, and then reflecting it across a line of reflection. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.
D. Reflection, followed by a dilation of a scale factor of 1, followed by a rotation of 180°.
This transformation involves reflecting the trapezoid across a line of reflection, then increasing its size by a scale factor of 1 (i.e., not changing its size), and then rotating it 180 degrees. This transformation preserves angles and side lengths, so Trapezoid EFGH is congruent to Trapezoid ABCD.
Therefore, the correct answer is D. Trapezoid EFGH is congruent to Trapezoid ABCD after undergoing transformation D.
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Kaja has a dog walking business that serves 9 dogs. If she chooses 4 of the dogs at random to take an extra trip to the dog park, what is the probability that Cherish, Taffy, Haunter, and Maverick are chosen? Express your answer as a fraction in simplest form.
The probability that Cherish, Taffy, Haunter, and Maverick are chosen is 1/126
How to solve for the probabilityThe total number of ways to choose 4 dogs out of 9 is given by the combination formula:
9Cr4 [this reads "nine combination four"]
9Cr4 = 9! / (4! 5!)
= 126
This means there are 126 possible outcomes, each equally likely.
The number of ways to choose Cherish, Taffy, Haunter, and Maverick out of the 9 dogs is:
5Cr0 * 4Cr4 = 1
This means there is only 1 favourable outcome.
Therefore, the probability of choosing Cherish, Taffy, Haunter, and Maverick is:
1/126
So the answer is 1/126.
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In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c. y = two-thirds x squared + 3 a. a = 0, b = two-thirds, c = 3 b. a = two-thirds, b = 0, c = 3 c. a = 0, b = 3, c = two-thirds d. a = two-thirds, b = two-thirds, c = 3 Please select the best answer from the choices provided
The correct answer is (a) a = 0, b = two-thirds, c = 3.
How to identify the values of a, b, and c.This can be seen by comparing the given equation, y = two-thirds x squared + 3, to the general form of a quadratic equation, y = ax^2 + bx + c.
In the given equation, the coefficient of x^2 is two-thirds, so a = two-thirds. The coefficient of x is 0, so b = 0. And the constant term is 3, so c = 3.
Therefore, the correct answer is (a) a = 0, b = two-thirds, c = 3.
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Could Someone Please Explain What This Parallelogram Answer Is?
The area of the parallelogram is[tex]39\sqrt(15)[/tex] square units.
How to deal with Parallelogram?In the preceding diagram, we must determine the height of the parallelogram in order to determine its area. The length of the perpendicular line segment drawn from vertex A to side BC determines the parallelogram's height. We'll refer to this line segment as AD. Since AD is perpendicular to BC, we can calculate its length using the Pythagorean theorem:
[tex]AD^2 = AC^2 - CD^2[/tex]
[tex]AD^2 = 12^2 - 3^2[/tex]
[tex]AD^2 = 135[/tex]
[tex]AD = \sqrt(135) = 3\sqrt(15)[/tex]
Now that we know the height of the parallelogram, we can use the formula for the area of a parallelogram:
Area = base x height
The base of the parallelogram is the length of side AB, which is 13 units. Therefore, the area of the parallelogram is:
[tex]Area = 13 \times 3\sqrt(15)[/tex]
[tex]Area = 39\sqrt(15) square units[/tex]
Therefore, the area of the parallelogram is [tex]39\sqrt(15)[/tex] square units.
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2. A die is rolled 200 times. What is the experimental
probability of rolling less than 3?
Outcome
1
2
3
4
5
CO
6
Frequency
30
26
44
38
22
40
Answer:
Based on the information, the probability of rolling a number less than a 3 (that is, a 1 or a 2) is 56/200 = 7/25 = 28%.
Need some guidance on this my answers don’t add up
The average size of the 15 diameters is 25.00mm. Using the concept of percentages, the mass of copper, lead, and tin in the bronze bearing are 140 kg, 40 kg, and 20 kg, respectively.
What is the average size of the diameters?To find the average size of the 15 diameters, we need to calculate the sum of all the dimensions and then divide by 15 (the total number of diameters).
The sum of the dimensions can be calculated as follows:
(5 x 24.99mm) + (6 x 25.01mm) + (4 x 25.00mm)
= 375.01mm
Now, we can calculate the average size by dividing the sum by 15:
Average size = 375.01mm / 15
= 25.00mm (rounded to 2 decimal places)
Therefore, the average size of the 15 diameters is 25.00mm.
b.
To find the mass of each metal, we need to determine how much of each metal is present in the bronze bearing. This can be done using the concept of percentage
Let's start by finding the mass of copper in the bearing:
Mass of copper = 70% of 200 kg = 0.7 x 200 kg = 140 kg
Next, let's find the mass of lead in the bearing:
Mass of lead = 20% of 200 kg = 0.2 x 200 kg = 40 kg
Finally, let's find the mass of tin in the bearing:
Mass of tin = 10% of 200 kg = 0.1 x 200 kg = 20 kg
Therefore, the mass of copper, lead, and tin in the bronze bearing are 140 kg, 40 kg, and 20 kg, respectively.
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Covert the following decimals to percents.
0.15 =_%
Answer:
15%
Step-by-step explanation:
0.15 x 100 = 15%
mark these probablities on a probably failling the exam 1 by 3 how to do on scale
The probability for the possibility on a failing the exam is 1/3 , shown on the scale.
Explain about the term probabilities;A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
A probability of 0 means there is no chance an event will happen, but a probability of 1 means the event will definitely happen. A probability of 0.45 (45%) means that there are 45 out of 100 chances that the event will occur.Any collection of results constitutes an event. Events are represented by capital letters, such as A and B. For instance, if the experiment involves flipping a single fair coin, event A might only receive one head. P(A) represents the probability of an event A.
Given that-
probability = number of favourable outcome / total outcome
number of favourable outcome = 1
number of total outcome = 3
probability = 1/3
Thus, the probability for the possibility on a failing exam is 1/3 , shown on the scale.
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it takes a machine 8 seconds to produce a bolt. Each day, the machine starts producing bolts at 09 30. the machine produce bolts continously every 8 seconds until it stops at 16 10 on the same day. work out how many bolts the machine produce each day
First, we need to calculate the total amount of time the machine runs each day:
Starting time: 09:30
Ending time: 16:10
We can convert the starting time and ending time to minutes:
09:30 = 9 x 60 + 30 = 570 minutes
16:10 = 16 x 60 + 10 = 970 minutes
The total running time of the machine is:
970 - 570 = 400 minutes
Since the machine produces a bolt every 8 seconds, we need to convert the running time from minutes to seconds:
400 x 60 = 24,000 seconds
Finally, we can calculate the number of bolts produced by dividing the total running time by the time it takes to produce one bolt:
24,000 / 8 = 3,000
Therefore, the machine produces 3,000 bolts each day.
ASAP PLEASE!
1.
Triangle D has been dilated to create triangle D′. Use the image to answer the question.
image of a triangle labeled D with side lengths of 3.8, 4.8, 4.2 and a second triangle labeled D prime with side lengths of x, 2.4, 2.1
Determine the scale factor used.
one half
2
one fourth
3
2.
Question 4(Multiple Choice Worth 2 points)
(Dilations MC)
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−9, −9), B(9, 9), C(0, 9). Determine the scale factor used.
6
one sixth
3
one third
The first option, "one half," corresponds to the scale factor of 0.5.
How to find the scale factor?Scale factor = Dimensions of the new shape Dimensions of the original shape is the fundamental formula used to calculate it. The formula is expressed as Scale factor = Larger image dimensions Smaller figure dimensions in the event that the original figure is enlarged.
We can contrast the side lengths of triangles D and D′ to determine the scaling factor.
Let's contrast the side lengths for the two triangles.
Triangle D has sides that are 4.2 in length, and triangle D′ has sides that are 2.1 in length.
Scale factor = (Side length of triangle D′) / (Side length of triangle D)
Scale factor = 2.1 / 4.2
Scale factor = 0.5
The first option, "one half," corresponds to the scale factor of 0.5.
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what is 4x-5y=-28 -9x-2y=10???????
The value of the variables are x = -2 and y = 4
How to determine the valuesFrom the information given, we have that the simultaneous equations are;
4x-5y=-28
-9x-2y=10
Make 'x' the subject from equation 1
4x = -28 + 5y
x = -28 + 5y/4
Now, substitute the value in equation 2, we get;
-9(-28 + 5y/4) - 2y = 10
expand the bracket
252 - 45y/4 - 2y = 10
find the lowest common multiple
252 - 45y - 8y/4 = 10
cross multiply
252 - 45y -8y = 40
collect the like terms
-53y = -212
Make y the subject
y = 4
substitute the value
x = -28 + 5y/4
x = -28 + 20/4
x = -8/4
x = -2
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If RS=p+14 and QT=4p, what is the value of p?
since the now has a value of ten so the p is equalled to 59
Which type of government structure would be threatened by debate over public policy?
A government structure that is authoritarian or dictatorial in nature would be threatened by debate over public policy.
In such a system, the government exercises complete control over decision-making and any opposition or dissent is not tolerated.
Open debate and discussion over public policy would challenge the authority of the government and its ability to maintain control over the population.
Democracies, on the other hand, thrive on healthy debate and discussion over public policy, as it allows for diverse perspectives and ideas to be heard and considered.
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52W high 52W low Name of Stock Symbol High Low Close
37.18 29.39 Zycodec ZYO 39.06 32.73 34.95
11.76 7.89 Unix Co UNX 16.12 12.11 15.78
Last year, a stockholder purchased 40 shares of Zycodec at its lowest price of the year and purchased 95 shares of Unix at its highest price of the year. If the stockholder sold all shares of both stocks at their respective closing price, what was the overall gain or loss?
The overall loss is $604.30.
The overall gain is $604.30.
The overall loss is $660.35.
The overall gain is $660.35.
the overall gain is positive, we can conclude that the stockholder made a profit of $190.10. Therefore, the correct answer is: "The overall gain is $190.10."
How to solve the question?
To calculate the overall gain or loss, we need to first find the total cost of buying the shares and the total revenue from selling them.
For the 40 shares of Zycodec purchased at its lowest price of 29.39, the total cost would be:
40 shares x $29.39/share = $1,175.60
For the 95 shares of Unix purchased at its highest price of 16.12, the total cost would be:
95 shares x $16.12/share = $1,531.40
The total cost of purchasing both stocks would be:
$1,175.60 + $1,531.40 = $2,707
Now, we need to find the total revenue from selling the shares. The closing price of Zycodec is 34.95, so the revenue from selling 40 shares would be:
40 shares x $34.95/share = $1,398
The closing price of Unix is 15.78, so the revenue from selling 95 shares would be:
95 shares x $15.78/share = $1,499.10
The total revenue from selling both stocks would be:
$1,398 + $1,499.10 = $2,897.10
The overall gain or loss would be the difference between the total revenue and total cost:
Overall gain/loss = total revenue - total cost
Overall gain/loss = $2,897.10 - $2,707
Overall gain/loss = $190.10
Since the overall gain is positive, we can conclude that the stockholder made a profit of $190.10. Therefore, the correct answer is: "The overall gain is $190.10."
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#6 write it in y=MX+B
Answer:
[tex]m = \frac{14 - 7}{2 - 0} = \frac{7}{2} [/tex]
[tex]14 = \frac{7}{2} (2) + b[/tex]
[tex]14 = 7 + b[/tex]
[tex]b = 7[/tex]
[tex]y = \frac{7}{2} x + 7[/tex]
Part C (30 POINTS)
Explain how your net created in part B can help Leonora's family determine the amount of plastic they will need to wrap around each hay bale.
question 2 help me asap!!
Answer:
y = -5x + 14 is the correct equation.
My apologies about the poor camera quality
The quadratic equation in the given graph is:
y = -3(x - 1)^2 + 4
How to write the quadratic.
Look at the vertex, is it at (1, 4), then we can write the general quadratic equation in the vertex form (with a leading coefficient a) as follows:
y = a(x - 1)^2 + 4
Now the function passes through (0, 1) then we can replace these values in the equation above to get.
1 = a(0 - 1)^2 + 4
1 = a + 4
1 - 4 = a
-3 =a
The quadratic equation is:
y = -3(x - 1)^2 + 4
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Question 10(Multiple Choice Worth 2 points)
(11.01 LC)
What is the range of this data set?
The range of this data set include the following: D. 6.
What is a range?In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph (dot plot) shown in the image attached above, we can reasonably and logically deduce the following range:
Range = {18, 19, 20, 21, 22, 24} = 6.
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The speed of a stream is 4 mph. A boat travels 3 miles upstream in the same time it takes to travel 11 miles downstream. What is the speed of the boat in Stillwater?
Let the speed in still water be [tex]x[/tex] miles per hour.
The speed upstream will be slower than the speed downstream.
Speed upstream [tex]= x-4[/tex] miles per hour and speed downstream will be [tex]x+4[/tex] miles per hour.
[tex]\text{Time Taken}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
The time taken for the trip upstream and the trip downstream are the same:
[tex]\text{time}_{\text{up}}=\dfrac{3}{x-4}[/tex]
[tex]\text{time}_{\text{down}}=\dfrac{11}{x+4}[/tex]
[tex]\dfrac{11}{x+4} =\dfrac{3}{x-4} \ \ \ \ \ \ \ \leftarrow \ \text{cross multiply}[/tex]
[tex]11(x-4)=3(x+4)[/tex]
[tex]11x-44=3x+12[/tex]
[tex]11x-3x=12+44[/tex]
[tex]8x=56[/tex]
[tex]\bold{x=7}[/tex] miles per hour
In each of 15 consecutive years, 1000 high school completers were randomly selected and the number who enrolled in college was determined. The results are listed below. Find the values you would use for the centerline, the upper control limit, and the lower control limit.
601 625 619 626 619 619 650 670 656 629 633 618 652 639 667
The centerline is 612, the upper control limit is 710.4, and the lower control limit is 513.6.
How to solveTo find the centerline, upper control limit, and lower control limit for this data, we need to calculate the average and standard deviation of the values.
Given data:
601, 625, 619, 626, 619, 619, 650, 670, 656, 629, 633, 618, 652, 639, 667
Calculate the average (mean):
Sum = 9180
Number of values = 15
Average = Sum / Number of values = 9180 / 15 = 612
Calculate the standard deviation (SD):
Squared differences from mean:
961, 169, 49, 196, 49, 49, 1444, 3364, 1936, 289, 441, 36, 1600, 729, 3025
Sum of squared differences = 15078
Variance = Sum of squared differences / (Number of values - 1) = 15078 / 14 = 1077
SD = sqrt(Variance) = sqrt(1077) ≈ 32.8
Calculate control limits:
Centerline (CL) = Average = 612
Upper Control Limit (UCL) = CL + 3 * SD = 612 + 3 * 32.8 ≈ 710.4
Lower Control Limit (LCL) = CL - 3 * SD = 612 - 3 * 32.8 ≈ 513.6
The centerline is 612, the upper control limit is 710.4, and the lower control limit is 513.6.
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Simplify 3/8x8/3=??
Will give Brainlist to quickest answer!
Answer:
3/8x8/3 = 1
ur welcome I hoped I helped u answering ur question!!
Answer: 1
Step-by-step explanation:
3/8 * 8/3 just simplifies to 1 because the numerator and denominator will be equal meaning it equals 1.
What are the zeros of the function f(x)= (4x-3) (2x-1) help
The zeros of the function f(x) are:
x = 3/4x = 1/2How to find the zeros of the function?For a function y = f(x), the zeros are the values of x such that:
f(x)= 0
Here we have:
f(x)= (4x-3) (2x-1)
The zeros are the values such that any of the coefficients are zero, then we have:
4x - 3 = 0
x = 3/4
And:
2x - 1 = 0
x = 1/2
These are the zeros.
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