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1 year ago

Which of the

Mathematics

1 answer:

Viefleur [7K]1 year ago

7 0

Answer:

ASA

Step-by-step explanation:

I think is Asa because it means when any two angles and their included sides are equal in both triangles.

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Directions for questions 4 & 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz

GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender Mean Std. dev. n

Female 2577.75 1916.29 67

Male 3809.42 2379.47 33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

$M_d=M_1-M_2=2577.75-3809.42=-1231.67$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795$

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=1.96 \cdot 475.795=932.54$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13$

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

6 0

3 years ago

A theorem is a statement that can be easily prove using a corollary

Reika [66]

False. Although, I'm not 100% sure.

7 0

2 years ago

Read 2 more answers

Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?

blsea [12.9K]

Answer:

(x+4)^2 + (y-9)^2 = 25

Step-by-step explanation:

We can use the equation (x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5

(x- -4)^2 + (y-9)^2 = 5^2

(x+4)^2 + (y-9)^2 = 25

3 0

2 years ago

How do you multiply hundreds by tens?

coldgirl [10]

Answer:

to multiply any number by 10, just tag ONE zero on the end. To multiply any number by 100, just tag TWO zeros on the end. To multiply any number by 1,000, just tag THREE zeros on the end. Note especially what happens when the number you multiply already ends in a zero or zeros.

5 0

3 years ago

Find the greatest common factor of the<br> following monomials:<br> 15r25<br> 48353

Cerrena [4.2K]

Answer:

475r35

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers