Help please.! and thank you

A right circular cylinder has a base area of 110 square inches and a volume of 1650 cable loches. What is the height, in inches,

denpristay [2]

Answer:

height = 15 inches

Step-by-step explanation:

the volume (V) of a cylinder is calculated as

V = Ah ( A is the base area and h the height )

given V = 1650 and A = 110 , then

1650 = 110h ( divide both sides by 110 )

15 = h

3 0

1 year ago

Factor the polynomial x2 + x - 6. Which one of the following is a factor? (x - 1) (x + 2) (x + 3) (x + 5)

Stells [14]

The factors are (x+3) & (x-2)
Your answer is (x+3)
Hope this helps

8 0

2 years ago

Does the system of equayions below have a solution 6x-2y=5 and 4x -3y=5

storchak [24]

Yes. I believe so. If u solve the equations you get x=1/2 and y=-1

7 0

2 years ago

A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

2 years ago

Can some one help me please

11111nata11111 [884]

Answer:

2x²√13

Step-by-step explanation:

Step 1: When there is multiplication under a square root sign (also called a radical sign), you can rewrite the expression as the product of two square roots, like this...

√(52x^4) can be rewritten as (√52)(√x^4)

Step 2: x^4 = x²x², so it's the same thing as saying (x²)², or "x-squared, squared". Taking the square root of it leaves just x-squared, so this simplifies to

(√52)x²

Step 3: When taking the square root of a number that is not a perfect square, you need to do a factor tree to see if you can break the number up into a product of perfect squares, or a perfect square multiplied by a prime number.

52 is an even number, so we an at least divide by 2.

52/2 is 26, so we have

(26)(2)

2 is a prime number, so we don't break that down any further.

26 is even so it is also divisible by 2,

26/2 is 13, so we have

(13)(2)(2)

which we can write as (13)(4) (groups pairs of numbers together)

(2)(2) is 4, which results in a perfect square, so we can rewrite √52 as

(√4)(√13), since √4 = 2, we simplify this expression to

2√13

So √(52x^4) breaks down to (√52)(√x^4), which further breaks down into

(2√13)(x²)

We simplify the expression to 2x²√13

3 0

2 years ago