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3 years ago

Is the ordered pair (-2,-2) a solution to th fiction y= 3x-8

Mathematics

1 answer:

Tema [17]3 years ago

7 0

Answer:-24

Step-by-step explanation:

You multiply your numbers without the - or the +

You check ehich number is bigger and you use it symbol for the answer

Example: 3x8= 24

-8 is bigger than 3 so you use it symbol

= -24

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Fowle Marketing Research Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean tim

sergejj [24]

Answer:

a) Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

b) $t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

c) $p_v =P(t_{34}>2.958)=0.0028$

d) If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

Step-by-step explanation:

Data given and notation

The sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation is:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=17$ represent the sample mean

$s=4$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =15$ represent the value that we want to test

$\alpha=0.01$ 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 check if the mean is less or equal than 15, the system of hypothesis would be:

Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

Since we don't know the population deviation, 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".

Part b Calculate the statistic

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

$t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

Part c P-value

The degrees of freedom are given by:

$df = n-1= 35-1=34$

Since is a right tailed test the p value would be:

$p_v =P(t_{34}>2.958)=0.0028$

Part d Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

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2 years ago

Given a mean of 24.5 and a standard deviation of 1.7 what is the z score of the value 24 rounded to the nearest tenth?

Softa [21]

The correct answer is B) -0.3

Z-scores are found using the formula

z = (X-μ)/σ

For this problem, we have

z = (24-24.5)/1.7 = -0.5/1.7 = -0.3

3 0

3 years ago

Darcy harvests 8 3/4 acres of corn every 5/6 of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest

Inessa05 [86]

Answer: 10 1/2, which can be simplified as 10.5

Explanation: First, set up a proportion with acres of corn to time in hours:

8 3/4 acres = x acres

5/6 hour = 1 hour

Reorder the terms:

x = (8 3/4) / (5/6)

To figure that out the math, change the mixed fraction to an improper fraction, and change the division into a multiplication:

x = (35/4) * (6/5)

Next cancel out:

x = (7/2) * (3/1)

x = 21/2

Lower that faction the the lowest denominator:

21/2 = 10½

Thus, your answer is 10½, or in other words 10.5

Hope this helps! :)

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3 years ago

Which equation could be used to solve for the length of XY?

dem82 [27]

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