All categories

4 years ago

Distributive property of the product of 127 and 32

1 answer:

7 0

127(32) could be re-written as (130-3)(30+2). To evaluate this, we'd use the distributive property of multiplication: 130(30) + 130(2) - 3(30) -3(2).

That comes out to 3900 + 260 - 90 - 6. Combine the positive terms. Then combine the negative terms. Last, combine the single positive term with the single negative one: 4160 - 96 = ?

You might be interested in

The midpoint of MN is point P at (–4, 6). If point M is at (8, –2), what are the coordinates of point N?

tester [92]

The midpoint of a line segment is the average of the endpoint's coordinates, mathematically:

mp=((x1+x2)/2, (y1+y2)/2)

In this case:

(-4,6)=((8+x)/2, (-2+y)/2)

(-8,12)=((8+x),(y-2))

(-16, 14)=(x,y)

8 0

3 years ago

Read 2 more answers

For the equation y=5x+4, determine the value of y when x=-3

Norma-Jean [14]

Answer:

$y=-11$

Step-by-step explanation:

$y=5x+4\\y=5\left(-3\right)+4\\y=-5\cdot \:3+4\\y=-15+4\\y=-11$

6 0

2 years ago

If T(n)=2-7n, what is the first term

Amanda [17]

$T(1)=2-7\cdot1=2-7=-5$

5 0

3 years ago

Susan received a $90 gift card for a coffee store she used it buying some coffee that cost $8.66 per pound after buying the coff

Sonja [21]

4 pounds because 90-(8.66 times 3)

5 0

3 years ago

An industrial expert claims that the average useful lifetime of a typical car transimssion which comes with ten years warranty i

lesya692 [45]

Answer:

a. none of these answers

Data provides sufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T >3.281)

Step-by-step explanation:

Data given and notation

$\bar X=13.5$ represent the mean height for the sample

$s=3.2$ represent the sample standard deviation for the sample

$n=9$ sample size

$\mu_o =10$ represent the value that we want to test

$\alpha=0.01$ 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 10 years, the system of hypothesis would be:

Null hypothesis: $\mu \leq 10$

Alternative hypothesis: $\mu > 10$

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:

$t=\frac{13.5-10}{\frac{3.2}{\sqrt{9}}}=3.28$

P-value

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

$df=n-1=9-1=8$

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

$p_v =P(t_{(8)}>3.281)=0.00558$

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't conclude that we have a mean higher than 10 years at 1% of significance.

a. none of these answers

3 0

3 years ago