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jasenka [17]
1 year ago
9

Two independent simple random samples are taken to test the difference between the means of two populations whose variances are

not known, but are assumed to be equal. The sample sizes are n1 = 32 and n2 = 40. The correct distribution to use is the
a. t distribution with 73 degrees of freedom
b. t distribution with 72 degrees of freedom
c. t distribution with 71 degrees of freedom
d. t distribution with 70 degrees of freedom
Mathematics
1 answer:
My name is Ann [436]1 year ago
3 0
I think it’s 72 degrees of freedom
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Which equation is the inverse of y = 16x2 + 1? y = plus-or-minus StartRoot StartFraction x Over 16 EndFraction minus 1 EndRoot y
kifflom [539]

Answer:

The inverse is ±sqrt((x-1))/ 4

Step-by-step explanation:

y = 16x^2 + 1

To find the inverse, exchange x and y

x = 16 y^2 +1

Then solve for y

Subtract 1

x-1 = 16 y^2

Divide by 16

(x-1)/16 = y^2

Take the square root of each side

±sqrt((x-1)/16) = sqrt(y^2)

±sqrt((x-1))/ sqrt(16) = y

±sqrt((x-1))/ 4 = y

The inverse is ±sqrt((x-1))/ 4

8 0
1 year ago
You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved
Rzqust [24]

Answer:

The amount of work required to remove all of the water by pumping it over the side = 3.12 × 10⁶ lbs.ft

Step-by-step explanation:

Work done in moving anything from point A to point B = Fx

For this setup,

If we take an elemental vertical height, dx, The volume would be A.dx

where A = Cross sectional Area = πr² = π(18)² = 1017.88 ft²

dV = 1017.88 dx

The elemental force on that part will be

dF = ρg dV

ρg = 63.8 lbs/ft³

dF = 63.8 × 1017.88 dx = 64940.5 dx

F = ∫dF = 64940.5 dx

W = Fx = (∫dF)x = ∫ 64940.5x dx = 64940.5 ∫ xdx

We'll be integrating from (11 - 6) ft to 11 ft because that's the total height it'll be pumped through

W = 64940.5 (x²/2)¹¹₅ = 64940.5((11² - 5²)/2) = 3.12 × 10⁶ lbs.ft

4 0
2 years ago
The number of gallons of gas that were in the tank minus 9 leaves 3 gallons
erastovalidia [21]
<h3>Hey!</h3>

<em><u>To solve the missing number of the original amount of gallons that were in the tank is simply by adding the two numbers we have: </u></em>

<em><u></u></em>

9+3= 12 gallons

<u><em>To make sure 12 was the original number, subtract 12 from 9. </em></u>

<u><em /></u>

<u><em>12-9= 3 gallons </em></u>

So your answer to your question is 12 gallons!

Hope this helped! °ω°

7 0
2 years ago
Read 2 more answers
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
natita [175]
⁻⁻Using Sine ratio: opposite / Hypotenuse

Opposite to angle A = 24, Hypotenuse = 25

Sin A =  24 / 25

Sin A = 0.96

A = Sin⁻¹(0.96)         Use a calculator.

A ≈73.74°

A ≈ 73.7°

∠A + ∠B = 90°      Since it is a right angled triangle.

∠B = 90° - ∠A

∠B = 90° - 73.7°

∠B = 16.3°

Answer:

(c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C = 90°
4 0
1 year ago
Read 2 more answers
Nick billups is paid a salary of $ 900 a month, a 2 % commission on all sales, and 1.8 % more on monthly sales over $ 17,500. In
Trava [24]
June :
900 + 0.02(48,500) + 0.018(48500 - 17500) = 
900 + 970 + 558 = 2428 <==

July :
900 + .02(50,200) + 0.018(50200 - 17500) =
900 + 1004 + 588.60 = 2492.60 <===
5 0
1 year ago
Read 2 more answers
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