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3 years ago

Find the slope of the line in the graph.

Mathematics

1 answer:

seropon [69]3 years ago

5 0

Answer:

rise over run 2/10 siplified 1/5

Step-by-step explanation:

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Write the expression in simplest form using only positive exponents (x^2/3y^-1/2)^-6

hoa [83]

$\left( \cfrac{x^2}{3y^{- \frac{1}{2} }} \right)^{-6}=\left( \cfrac{3y^{- \frac{1}{2} }}{x^2} \right)^{6}=\left( \cfrac{3}{x^2y^{ \frac{1}{2} }} \right)^{6}= \cfrac{3^6}{x^{2*6}y^{ \frac{1}{2}*6 }} = \cfrac{729}{x^{12}y^3}$

5 0

3 years ago

We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando

coldgirl [10]

Answer: $(9.27025,\ 11.12975)$

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : $\overline{x}=10.2$

sample standard deviation : $s= 1.5$

Significance level ; $\alpha= 1-0.90=0.10$

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = $t_{\alpha/2, df}=t_{0.05 , 8}=1.8595$

Confidence interval for the population mean :

$\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

90% confidence interval for the mean value will be :

$10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}$

$10.2\pm (1.8595)\dfrac{1.5}{3}$

$10.2\pm (1.8595)(0.5)$

$10.2\pm (0.92975)$

$(10.2-0.92975,\ 10.2+0.92975)$

$(9.27025,\ 11.12975)$

Hence, the 90% confidence interval for the mean value= $(9.27025,\ 11.12975)$

6 0

3 years ago

Please help 20 points!!!!!

skad [1K]

Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,

(a) The sample means of the backpacks are: 6.375,6.375,6.625

(b) Range of sample means: 0.25

(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.

For the first sample, mean= 6.375

For the second sample, mean= 6.375

For the third sample, mean= 6.625

Range of sample means=Maximum Mean- Minimum Mean

= 6.625 - 6.375

= 0.25

The students will estimate the average backpack weight of their classmates using sample means, the true statement is:

The closer the range of the sample means is to 0, the more confident they can be in their estimate.

Learn more about range here:

brainly.com/question/24326172

#SPJ1

6 0

2 years ago

When Maggie hooks her dog up to a rope that is staked in the yard, the dog can walk a distance of about 76 feet along the circum

pentagon [3]

Answer:

12.1

Step-by-step explanation:

76/2π

= 38/π

= 12

3 0

3 years ago

Read 2 more answers

I need help with this no link pls

Naddika [18.5K]

Answer:

1. x = 36 equation is x + 2x + 9 = 117, then solve for x

2. x = 50 equation is x + x + 12 = 112, then solve for x

Step-by-step explanation:

4 0

3 years ago