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3 years ago

**Ms. Gayle is driving to work. She travels 10 miles in 10 minutes. How fast is Ms. Gayle traveling?

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

60 mph

Step-by-step explanation:

Ms. Gayle drives 10 miles in just 10 minutes. To find out how fast she was going we need to turn the minutes into hours. There are 60 minutes in an hour, so we multiply the miles and minutes by 60.

Ms. Gayle drives 60 miles in an hour.

This means she is traveling at 60 mph.

I hope that this helps! :)

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According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating

Natali [406]

Answer:

a) Null and alternative hypothesis

$H_0: \mu=32.48\\\\H_a:\mu< 32.48$

b) Test statistic t=-1.565

P-value = 0.0612

NOTE: the sample size is n=65.

c) Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

d) Null and alternative hypothesis

$H_0: \mu=32.48\\\\H_a:\mu< 32.48$

Test statistic t=-1.565

Critical value tc=-1.669

t>tc --> Do not reject H0

Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Then, the null and alternative hypothesis are:

$H_0: \mu=32.48\\\\H_a:\mu< 32.48$

The significance level is 0.05.

The sample has a size n=65.

The sample mean is M=30.15.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

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

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{65}}=1.4884$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{30.15-32.48}{1.4884}=\dfrac{-2.33}{1.4884}=-1.565$

The degrees of freedom for this sample size are:

$df=n-1=65-1=64$

This test is a left-tailed test, with 64 degrees of freedom and t=-1.565, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.0612) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

<u>Critical value approach</u>

<u></u>

At a significance level of 0.05, for a left-tailed test, with 64 degrees of freedom, the critical value is t=-1.669.

As the test statistic is greater than the critical value, it falls in the acceptance region.

The null hypothesis failed to be rejected.

6 0

3 years ago

Find the inverse of the function y= -3/ x+ 4

Tomtit [17]

Y=4-3/x
y-4=-3/x
(y-4)x=-3
x(y-4)=-3
x=-3/y-4

there's you answer

7 0

3 years ago

Read 2 more answers

Combine these two like terms to create an equivalent expression: 4z - (-3z)

stealth61 [152]

Answer:

Step-BYU-step explanation

4z - (-3z) = 4z + 3z = 7z

7 0

3 years ago

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad

Svetllana [295]

Solution:

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to s[end more than $30 an hour at health club.

Where, x and y should be greater than 0.

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x y

0 10

6 6

15 0

4 0

3 years ago

After each charging, a battery is able to hold only 97% of the charge from the previous charging. The battery was used for 18 ho

Cerrena [4.2K]

Answer:

The total nuber of hours that the battery can be used over its lifetime is 600.

Step-by-step explanation:

We use an infinite geometric series to solve this question.

The sum of all values of an infinite geometric series is given by the following equation:

$S = \frac{a_{1}}{1 - r}$

In which $a_{1}$ is the first term and r is the common ratio.

After each charging, a battery is able to hold only 97% of the charge from the previous charging.

This means that $r = 0.97$

The battery was used for 18 hours on its first charge before it had to be recharged.

This means that $a_{1} = 18$

What is the total number of hours the battery can be used over its lifetime?

$S = \frac{18}{1 - 0.97} = 600$

The total nuber of hours that the battery can be used over its lifetime is 600.

7 0

3 years ago