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Dennis_Churaev [7]

3 years ago

13

Lin,Mac, and star spend 6$ on supplies to set up a lemonade stand they sell 21$ worth of lemonade they are going to share the mo

ney equally evaluate the expression (21-6) divided by 3 to find how much money each one will make.

1 answer:

sukhopar [10]3 years ago

8 0

Each person will make $5.00.

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Sophie has 60 pencils.

dangina [55]

Answer:

30

Step-by-step explanation:

Because of the following statement is not true no.of atoms

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2 years ago

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Vanyuwa [196]

Answer:

the answer is D, because 30/2 is 15.

7 0

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A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get

GaryK [48]

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

7 0

2 years ago

Suppose we want to see if American children have higher levels of cholesterol than the average child (i.e., in the entire world

lina2011 [118]

Answer:

$t=\frac{201-190}{\frac{10}{\sqrt{25}}}=5.5$

$p_v =P(t_{(24)}>5.5)=0.00000589$

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 have enough evidence to reject the null hypothesis, and we can conclude that the true mean is higher than 190

Step-by-step explanation:

Data given and notation

$\bar X=201$ represent the mean

$s=10$ represent the sample standard deviation for the sample

$n=25$ sample size

$\mu_o =190$ represent the value that we want to test

$\alpha=0.05$ 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 check if the mean is higher than 190, the system of hypothesis would be:

Null hypothesis: $\mu \leq 190$

Alternative hypothesis: $\mu > 190$

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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:

$t=\frac{201-190}{\frac{10}{\sqrt{25}}}=5.5$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=25-1=24$

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

$p_v =P(t_{(24)}>5.5)=0.00000589$

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 have enough evidence to reject the null hypothesis, and we can conclude that the true mean is higher than 190

3 0

3 years ago

A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent va

Aleonysh [2.5K]

A. Finding the slope

The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:

slope = 6/ 3 = 2

B. Finding the y – intercept

The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:

y – intercept (b) = 4

C. Finding the function of the graph

The general equation of a line is given as:

y = m x + b

where m is the slope and b is the y intercept therefore:

y = 2 x + 4

D. Finding the x – intercept

The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:

0 = 2 x + 4

x = - 2

E. Graph the function

<span>Check out the image attached</span>

8 0

3 years ago