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3 years ago

Susannah made the line plot below to show the distances she hiked each day in the past two weeks.

Mathematics

1 answer:

tatyana61 [14]3 years ago

3 0

Answer:

Correct option: B -> (5 1/2) * 2

Step-by-step explanation:

We can observe the number of different distances she hiked:

5 1/4, 5 1/2, 6 1/4, 7 1/4, 7 1/2 and 7 3/4.

In Susannah's equation, we have only 5 parts, so it's missing one distance, that is 5 1/2.

In this distance there are 2 circles, so she hiked this distance two times. Then, the missing value that Susannah should sum is:

(5 1/2) * 2

Correct option: B

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Write 19/25 as a decimal fist person to answer the question correctly is going to be the brainliest

Lerok [7]

0.76 is the correct answer.

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3 years ago

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Match each transformation of function f to a feature of the transformed function.

andrezito [222]

By analyzing the parent function graph, we will see that:

1) m(x) = -f(x) ⇒ "function decreases as x increases"
2) h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
4) g(x) = 2*f(x) ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: <em>"function decreases as x increases"</em>

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: <em>"asymptote of y = 2.</em>

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x = 0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

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2 years ago

What is the volume of the following rectangular prism?<br> 21/2 units <br> 8/3 units

xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = $\frac{21}{2}$ and l = $\frac{8}{3}$ , thus

V = $\frac{21}{2}$ × $\frac{8}{3}$ ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= $\frac{7}{1}$ × $\frac{4}{1}$ = 7 × 4 = 28 units³

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3 years ago

A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries,

Andru [333]

Answer:

A. Null and alternative hypothesis:

$H_0: \mu_d=0\\\\H_a:\mu_d\neq 0$

B. Yes. At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

P-value = 0.00002

C. As the difference is calculated as (population 1 − population 2), being population 1: groceries and population 2: dinning out, and knowing there is evidence that the true mean difference is positive, we can say that the groceries annual credit card charge is higher than dinning out annual credit card charge.

The point estimate is the sample mean difference d=$840.

The 95% confidence interval for the mean difference between the population means is (490, 1190).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

Then, the null and alternative hypothesis are:

$H_0: \mu_d=0\\\\H_a:\mu_d\neq 0$

The significance level is 0.05.

The sample has a size n=42.

The sample mean is M=840.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1123.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1123}{\sqrt{42}}=173.2827$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{840-0}{173.2827}=\dfrac{840}{173.2827}=4.848$

The degrees of freedom for this sample size are:

$df=n-1=42-1=41$

This test is a two-tailed test, with 41 degrees of freedom and t=4.848, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=2\cdot P(t>4.848)=0.00002$

As the P-value (0.00002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

We have to calculate a 95% confidence interval for the mean difference.

The t-value for a 95% confidence interval and 41 degrees of freedom is t=2.02.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.02 \cdot 173.283=350$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 840-350=490\\\\UL=M+t \cdot s_M = 840+350=1190$

The 95% confidence interval for the mean difference is (490, 1190).

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3 years ago

A rectangle has an area of 21x + 81 square units. If the width is 3 units, what is the length of the rectangle

rosijanka [135]

If x=3 then the answer is 144

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2 years ago