Find two consecutive positive integers such that the sum of their squares is 421

What are the coordinates of side HI? (–8, 1) and (–4, –3) (–4, 7) and (–2, 5) (1, –8) and (–3, –4) (7, –4) and (5, –2)

Fynjy0 [20]

Answer:

Step-by-step explanation:

the answer is b defenitly

4 0

2 years ago

Acar can travel 25 miles per gallon. Approximately how many gallons of fuel will the car need to travel 30

FrozenT [24]

Answer:

The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .

Step-by-step explanation:

Given:

The car can travel 25 miles per gallon. (1 mile = 1.6 km)

Now, we need to convert 25 miles into km .

25 miles = 25 × 1.6 km

= 40 km

So, the car can travel 40 km per gallon.

Then, we find out in 1 km how many gallons are used:

$40 km = 1 gallons$

$1\ km = \frac{1}{40}\ gallons$

$1\ km = 0.025\ gallons$

Now, we find out how much gallons of fuel will the car need to travel 30 km:

Gallons of fuel the car need to travel 30 km = $30\times 0.025$

= $0.75 gallons$ .

Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.

6 0

3 years ago

Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6

Gennadij [26K]

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

8 0

2 years ago

Read 2 more answers

Suppose you are conducting a test of significance to try to determine whether your cat, Hope, will go to the correct object (out

ohaa [14]

In this scenario, the parameter is the sample proportion, which is of 0.7.

<h3>What is the parameter?</h3>

When a hypothesis is tested, the parameter is the information obtained from the sample, mean or proportion.

In this case, it is the <em>sample proportion</em>, which is the <u>number of desired outcomes divided by the number of total outcomes</u>.

She goes to the correct object in 70 of those 100 trials, hence:

$p = \frac{70}{100} = 0.7$

The parameter is the sample proportion, which is of 0.7.

You can learn more about sample proportion at brainly.com/question/25868626

4 0

1 year ago

It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele

kow [346]

Answer:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

Step-by-step explanation:

1) Data given and notation

$\bar X=23500$ represent the sample mean

$s=3900$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =2000$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2000$

Alternative hypothesis: $\mu > 2000$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

Since is a one-side upper test the p value would be:

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

8 0

2 years ago