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3 years ago

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?

1 answer:

4 0

If 2 Lines are crossing together to make 2 pairs of Vertical Angles, the sum of all 4 Angles will always be equal to 360°.

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Why does the graph of a function shift left when K is positive and to the right when K is negative?

Sedaia [141]

Answer:

You can visualize this easily.

y=f(x+h)

Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)

The function y acquires the value of f(x) at (x−h) amounting to a left shift.

Hope this makes things clear.

Step-by-step explanation:

3 0

2 years ago

What is 2 3/4 - 5/16

Ilya [14]

Answer:

2 7/16

Step-by-step explanation:

multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.

6 0

3 years ago

Read 2 more answers

Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$40.

luda_lava [24]

You would do 40 ÷ 4 which would be 10. so it was $10 per late fee

3 0

3 years ago

Yesterday you walked 1/3 mile .today you walked 1/2 mile. How far did you walk in those two days?

Makovka662 [10]

You walked 5/6 mile

1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile

7 0

3 years ago

Read 2 more answers

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical popul

vampirchik [111]

Answer:

a) Null Hypothesis: $\mu =900$

Alternative hypothesis: $\mu \neq 900$

b) The 95% confidence interval would be given by (910.05;959.95)

c) Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d) $z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750$

Since is a bilateral test the p value is given by:

$p_v =2*P(Z>2.750)=0.0059$

Step-by-step explanation:

a. State the hypotheses.

On this case we want to check the following system of hypothesis:

Null Hypothesis: $\mu =900$

Alternative hypothesis: $\mu \neq 900$

b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean x¯¯¯= 935?

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=935$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=180$ represent the population standard deviation

n=200 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=3278.222$

The sample deviation calculated $s=97.054$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$