What are the coordinates of the vertices of the image?

Simplify x^3/x? need help been stuck on this question forever

BlackZzzverrR [31]

x^3/x

= x^(3 - 1)

= x^2

Answer

x^2

8 0

3 years ago

Read 2 more answers

A coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces. A random sample of 15 co

Luda [366]

Answer:

We conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

Step-by-step explanation:

We are given that a coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces.

A random sample of 15 containers were weighed and the mean weight was 31.8 ounces with a sample standard deviation of 0.48 ounces.

Let $\mu$ = mean weight of coffee in its containers.

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 32 ounces {means that the mean weight of coffee in its containers is at least 32 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ < 32 ounces {means that the mean weight of coffee in its containers is less than 32 ounces}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = 31.8 ounces

s = sample standard deviation = 0.48 ounces

n = sample of containers = 15

So, the test statistics = $\frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }$ ~ $t_1_4$

= -1.614

The value of t test statistics is -1.614.

Now, at 0.01 significance level the t table gives critical value of -2.624 at 14 degree of freedom for left-tailed test.

Since our test statistic is more than the critical value of t as -1.614 > -2.624, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

8 0

3 years ago

Students at three elementary schools collected a total of 29,294 cans of food to donate to a local food bank. Students at Johnso

amm1812

Answer:

6,845 cans

Step-by-step explanation:

Total of 29,294 cans of food to donate to a local food bank

Students at Johnson Elementary collected 9,987 cans of food

Students at Lincoln Elementary School collected 12,462 cans of food.

Total number of food can collected =

Food cans at Johnson Elementary + Food cans at Lincoln Elementary +

Food cans at Richardson Elementary

The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )

= 29,294 cans - (9,987 + 12,462) cans

= 29,294 cans - 22,449 cans

= 6,845 cans

Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans

4 0

3 years ago

1 ringtone and $3 equals $4, how much is the ringtone

gavmur [86]

Answer:

$1

Step-by-step explanation:

Let's call the ringtone r. If the ringtone and $3 equals $4, then we can write the equation $4=$3+r. To solve, all you have to do is isolate the r by subtracting 3 on each side.

5 0

3 years ago

7+3√5/3+√5 - 7-3√5/3-√5

Irina-Kira [14]

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

$7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}$

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

4 0

3 years ago