7 x (8 + 5) = 56 + 5 =

Introduction to expectation

mr Goodwill [35]

Answer:

Step-by-step explanation:

ok

7 0

4 years ago

A bag has 5 apples, 10 oranges, and 5 peaches. What is the probability of pulling out an apple? Enter your answers in this order

fenix001 [56]

Answer:

25% or 1/4 for apple and 50% or 1/2 for orange

Step-by-step explanation:

When you add all of them up you get 20 and 5/20 is equal to 1/4 or 25%.

10/20 is equal to 1/2 or 50%

8 0

3 years ago

Read 2 more answers

Given the function

jeka94

Answer:

<h2>The domain is all real numbers except</h2><h2>x = 3 and x = 7.</h2>

Step-by-step explanation:

We know that in a fraction the denominator must be different from 0.

Therefore:

$f(x)=\dfrac{4x+17}{x^2-10x+21}\to\ D:x^2-10x+21\neq0\\\\x^2-7x-3x+21\neq0\\\\x(x-7)-3(x-7)\neq0\\\\(x-7)(x-3)\neq0\iff x-7\neq0\ \wedge\ x-3\neq0\\\\x-7\neq0\qquad\text{add 7 to both sides}\\x\neq7\\\\x-3\neq0\qquad\text{add 3 to both sides}\\x\neq3$

7 0

4 years ago

How do I find the slope of a line with multiple points on a graph

Assoli18 [71]

Use the formula y2-y1/x2-x1 and sub in the points
Hope this helps

3 0

3 years ago

Read 2 more answers

The tensile strength of a fiber used in manufacturing cloth is of interest to the purchaser. Previous experience indicates that

yaroslaw [1]

Answer:

a) $z=\frac{127-125}{\frac{2}{\sqrt{8}}}=2.828$

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

$p_v =P(z>2.828)=1-P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125

b) We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=127$ represent the mean for the sample

$\sigma=2$ represent the standard deviation for the population

$n=8$ sample size

$\mu_o =125$ represent the value that we want to test

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

z would represent the statistic (variable of interest)

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

Part a

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 125:

Null hypothesis: $\mu = 125$

Alternative hypothesis: $\mu > 125$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

$z=\frac{127-125}{\frac{2}{\sqrt{8}}}=2.828$

Calculate the P-value

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

$p_v =P(z>2.828)=1-P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125

Part b

We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.

5 0

3 years ago