The expression that represents the length of Ana Maria's ribbon is r/3
How to determine which expression can be used to represent the length?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation. It should be noted that an expression shows the relationship between the variables.
Ana Maria has the length of 1/3 ribbon Jolie has.
Let r represent the length of ribbon Jolie has
Since Ana Maria's ribbon length is 1/3 that of Jolie ribbon. We can write:
Ana Maria's ribbon length = 1/3 × r = r/3
Thus, the expression for Ana Maria's ribbon length is r/3.
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The expression that represents the length of Ana Maria's ribbon is r/3
How to determine which expression can be used to represent the length?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation. It should be noted that an expression shows the relationship between the variables.
Ana Maria has the length of 1/3 ribbon Jolie has.
Let r represent the length of ribbon Jolie has
Since Ana Maria's ribbon length is 1/3 that of Jolie ribbon. We can write:
Ana Maria's ribbon length = 1/3 × r = r/3
Thus, the expression for Ana Maria's ribbon length is r/3. :)
In an effort to reduce boarding time, an airline tries a new method of boarding its planes. Historically, only 32% of passengers were satisfied with the boarding process random sample of 32 passengers using the new boarding process found 44% who said they were satisfied with the boarding process, yielding a test statistic of _______.
(a) What is the p-value of the hypothesis test to determine if this new boarding process resulted in improved passenger satisfaction?______ (4 decimals)
(b) What is the meaning of a Type 11 error in this context? The airline concludes a greater proportion of passengers were satisfied, when in reality, the same proportion of passengers were satisfied.
(c) Which significance level would minimize the likelihood of making a Type II error?
a = 0.01
a = 0.10
Answer:
Test statistics of 1.455
P-value = 0.0728
Step-by-step explanation:
From the given information:
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}[/tex]
Z = 1.455
We want to test if the customer satisfaction increased significantly(one-tailed test)
Null hypothesis:
[tex]H_o : p= 0.32[/tex]
Alternative hypothesis:
[tex]H_a: p>0.32[/tex]
P-value = P(Z>1.455)
= 0.0728
b) Type II error implies the error of accepting [tex]H_o \ (i.e\ \text{ the null \ hypothesis)}[/tex]when [tex]H_a \ (i.e\ \text{ the alternative \ hypothesis)}[/tex] is true.
This implies inferring that there is no huge improvement in passenger's satisfaction when there is.
c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.
∴ A Smaller value of Type II error will be achieved by a higher type I error.
⇒ 0.10
A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean and standard deviation of What is the probability that, for an adult after a 12-hour fast, x is less than 104
Answer:
The pvalue of Z when X = 104.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability that, for an adult after a 12-hour fast, x is less than 104?
This is the pvalue of Z when X = 104.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - \mu}{\sigma}[/tex]
[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.
Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79
Answer:
t = 5.79
Step-by-step explanation:
Given the regression line equation :
Cˆ=182+2.2A
Null ; H0:β=0
Alternative ; Ha:β≠0
Comparing with the general for of a linear regression equation :
y = bx + c
b =slope Coefficient ; c = intercept
b = 2.2 (from equation given)
The test statistic :
t = (Slope, b - null, β) / standard error of slope, E
(b - β) / E
(2.2 - 0) / 0.38
t = 2.2 / 0.38
t = 5.7894736
t = 5.79
PLEASE HELP ME!! First correct answer gets branliest!!!
At the end of the football season a team analysis a number of goals they conceded each game the table shows that information.
Conceded goals: 0, 1, 2, 3, 4. Frequency 2, 8, 4, 10,6, 8.
A) Find out the median of the number of goals conceded.
B) Work out the mean number of goals conceded.
Answer:
median is 2
mean is 6.333
Step-by-step explanation:
arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333
Use the table to find the value of the following.
Sin117°
Answer:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
Step-by-step explanation:
Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:
[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]
[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]
By information form table we find that:
[tex]\sin 63^{\circ} \approx 0.8910[/tex]
Therefore, we conclude that value of the given angle is:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
what property is 8 • 1 and 8
What's the area of the following triangle? 8 ft 16 ft
Answer:
128 :)
Step-by-step explanation:
The area of the given triangle in the figure is 64 ft.².
A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.
Given that
The height of the given triangle is 16 ft. and the length of the base is 16 ft.
As it is known that the area of a triangle is defined as
[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]
So,
[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]
Thus, the area of the given triangle is 64 ft.².
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What is four x equals twelve
Answer:
x= 3
Step-by-step explanation:
12 ÷ 4 +3
The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given statement is "four x equals twelve"
According to the given question, translate the phrase into an algebraic expression:
⇒ 4x = 12
Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"
Now the above expression solves for variable x,
⇒ 4x = 12
Divided by 4 into both sides of the above equation,
⇒ 4x / 4 = 12 / 4
⇒ x = 3
Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.
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ADDITION Mrs Kelly, please help him ga + 3 31 + 3 = + 3 5 + 3 6 + 3 4+ + LESTER GREEN, NIGHT SCHOOL
Answer:
2+3=5
3+3=6
4+3=7
5+3=8
6+3=9
Step-by-step explanation:
What is the unit digit of 3^(25) + 325 ? (Please show work and I will mark brainlist)
A. 1
B. 3
C. 5
D. 6
E. 8
Unit digit of [tex]3^{25} + 325[/tex] is 8.
Thus option E is correct .
Given , expression [tex]3^{25} + 325[/tex]
To identify the unit digit firstly the cyclicity of 3 ,
Cyclicity of 3 :
[tex]3^1 = 3\\\\3^2 = 9\\\\3^3 = 27\\\\3^4 = 81\\\\3^5 = 243\\\\3^6 = 729\\\\3^7 = 2187[/tex]
[tex]3^8 = 6561[/tex]
Here the cyclicity of 3 is 4 that is the unit digit of exponent of 3 will be repeating after every fourth power.
Here, the exponent of 3 is 25.
Divide 25 by the cyclicity of 3.
25/4
Remainder = 1
Hence the unit digit of [tex]3^{25[/tex] will be 3.
Unit digit of 325 is 5.
Add 5 + 3
= 8
Hence the unit digit will be 8.
Option E is correct .
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A bi-monthly sports magazine has 48,000 subscribers when it charges $20 for a one year subscription. For every $1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below. Using the equation below, how much should the magazine sell for in order to maximize revenues? f (x) = (48,000 – 2,000x) (20 + x)
Answer:
To maximize the profits of the company, the subscription price should be raised to $ 22.
Step-by-step explanation:
Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:
f (x) = (48,000 - 2,000x) (20 + x)
X = 48,000 x 20 = 960,000
X = (48,000 - 2,000x1) x (20 + 1)
X = 46,000 x 21
X = 966,000
X = (48,000 - 2,000x2) x (20 + 2)
X = 44,000 x 22
X = 968,000
X = (48,000 - 2,000x4) x (20 + 4)
X = 40,000 x 24
X = 960,000
Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.
PLEASE HELP ASAPPP!!!!
Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong
Step-by-step explanation:
Answer:
2.4 cm
Step-by-step explanation:
Since that they are similar, what you can do is:
3.0/1.2 = 2.5
1.2 * 2.5 = 3.0
0.96 * 2.5 = 2.4 cm
a right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters. what is the volume of the rectangular prism?
Answer:
22.5 cm
Step-by-step explanation:
length times width times height
Find the surface area of the rectangular prism.
2 cm
6 cm
3 cm
3 cm
Answer:
72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.
Step-by-step explanation:
Givens
L = 6 cm
W = 3 cm
H = 2 cm
I don't know what the extra 3 cm is for.
Formula
SA = 2*L*W + 2*L*H + 2*H*W
SA = 2*6*3 + 2*6*2 + 2*2*3
SA = 36 + 24 + 12
SA = 72
Answer:
Step-by-step explanation:
To the nearest tenth of a second, how long will it take the arrow to hit the ground?
Answer:
0.6
Step-by-step explanation:
Find the surface area on a pyramid 12cm 7cm 7cm
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
h(t)=3t-5
g(t)=t-2
Find (h·g)(t)
Answer:
[tex](3x - 5)(x - 2) = 3 {x}^{2} - 6x - 5x + 10 \\ = 3 {x}^{2} - 11x + 10[/tex]
A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
I don’t know how to do this at all
9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
explain how to draw a line segments that measures 2 7/16 inches
if a picture please type the words for me
9514 1404 393
Answer:
draw the line using a ruler on which you have identified points 2 7/16 inches apart
Step-by-step explanation:
On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.
Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.
Please help!!!! I’m about to fail and I don’t want to
Answer:
But, you didn't ask any question.
Step-by-step explanation:
Remember to post your question next time.
Sophie’s Clues:
Sophie made up some clues about the rectangles. She only thought of numbers between 1 through 30.
Rectangle #1 Clue:
Width = N. Length = 2 N
Draw a picture for a rectangle that fits the information. Label each dimension.
What is the value of N in this case? Why does it make sense?
Answer:
322223
Step-by-step explanation:
I need someone too answer this for someone
Answer: C
Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
anyone caring to help me?? please and thank you it would be very much appreciated <3
Answer:
75
90
15, i think ??
165
hope this helps !!!! :D
Step-by-step explanation:
Solution:
Here,
In triangle LKM,
6x+5x+x=180
12x=180
x=180/12
x=15
Now,
1.75
2.90
3.15
4.165
Please help me I will give you brainliest
ok here you go its B
ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study
Answer:
Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
Step-by-step explanation:
7p≤42 help me in this thank it is 12 i have school tomorrow
What are the polar coordinates of the rectangular coordinates (2, -2√3)?
A. (4, 11π/6)
B. (4, 5π/3)
C. (2, 5π/3)
D. (2, 11π/6)
9514 1404 393
Answer:
B. (4, 5π/3)
Step-by-step explanation:
If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.
The polar coordinates are (4, 5π/3).
Which angles are complementary?