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2 years ago

Please hurry I will brainliest

Mathematics

1 answer:

Kruka [31]2 years ago

8 0

Answer:

the inequaltiy is 16.5x $\leq$ 363

X $\leq$ 22

Step-by-step explanation:

Okay so we can’t go over 363 miles since thats the maximum amount of miles for a full tank

1 gallon can travel 16.5 miles

So we can make x stand for amount of gallons

16.5x $\leq$ 363

Now that makes sense becuase 16.5 miles for every gallon and we don’t know how much gallons since its not stated, now the amount can’t pass 363 but it could be equal so we make an less than or equal to sign

For X we solve it and get x $\leq$ 22.

So a full tank can have 22 or less gallons of gas.

You might be interested in

Estimate a 15% tip on a taxi ride that cost $23.25

Anettt [7]

So basically, we are looking for the amount of tip that the rider gave the driver if the driver paid a total of 23.25 dollars. So in order to get the tip, we just have to multiply the total cost of the taxi, which is 23.25, to the percentage of the tip which is 15%. So in order to get the final answer, we have to express the formula as this. 23.25 x 0.15. So if we would solve this equation, we will get an answer of 3.4875. So the tip that was given was 3.4875

7 0

3 years ago

Read 2 more answers

Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in

Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - α)% confidence interval for the population variance is given as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

It is provided that:

n = 20

s = 3.9

Confidence level = 95%

⇒ α = 0.05

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907$

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

$\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45$

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0

3 years ago

Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8

morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² = (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection of the claim that the distribution of the sample agrees with the distribution of the state populations.

3 0

3 years ago

Giving brainliest! Can anyone answer this question for me?

Marysya12 [62]

Answer:

1/2

Step-by-step explanation:

7 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!

Furkat [3]

Here, (7 * 9) = (7 * 10) - (7 * x)

Here, Take 7 as a common factor according to distributive property:

= 7(10 - x)

Now, 10-x = 9
x = 10-9 = 1

In short, Your Answer would be 1

Hope this helps!

3 0

3 years ago