A spherical water tank holds 10500ft^3. What is the diameter of the tank? Use V=pie/6*d^3

To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s

larisa86 [58]

First make the denominators of the fractions the same by multiplying.

$\frac{2}{3}$ × $\frac{2}{2}$
= $\frac{4}{6}$

Now we just need to add the fractions together

$\frac{5}{6} + \frac{4}{6}$
= $\frac{9}{6}$

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

$\frac{9}{6}$ ÷ $\frac{3}{3}$
= $\frac{3}{2}$
=1.5 yards

Your final answer is 1.5 yards of ribbon are needed.

7 0

3 years ago

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A 1414-ft ladder leans against a wall at a point 55 feet above the ground. how far is the bottom of the ladder from the wall?

viva [34]

Assume ladder length is 14 ft and that the top end of the ladder is 5 feet above the ground.

Find the distance the bottom of the ladder is from the base of the wall.

Picture a right triangle with hypotenuse 14 feet and that the side opposite the angle is h. Then sin theta = h / 14, or theta = arcsin 5/14. theta is

0.365 radian. Then the dist. of the bot. of the lad. from the base of the wall is

14cos theta = 14cos 0.365 rad = 13.08 feet. This does not seem reasonable; the ladder would fall if it were already that close to the ground.

Ensure that y ou have copied this problem accurately from the original.

7 0

3 years ago

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult ma

Sindrei [870]

Answer:

z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Step-by-step explanation:

We will test the breeder´s claim at 95% ( CI) or significance level

α = 5 % α = 0,05 α /2 = 0,025

Sample Information:

sample size n = 45

sample mean x = 72,5 pounds

Sample standard deviation s = 16,1

1.-Hypothesis Test:

Null Hypothesis H₀ x = 70

Alternative Hypothesis Hₐ x ≠ 70

Alternative hypothesis contains the information about what kind of test has to be developed ( in this case it will be a two-tail tets)

2.-z (c) is from z-table z(c) = 1,96

3.- z(s) = ( x - 70 ) / 16,1 / √45

z(s) = (72,5 -70 ) *√45 / 16,1

z(s) = 2,5 * 6,71 / 16,1

z(s) = 1,04

4.-Comparing z(s) and z(c)

z(s) < z(c)

Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

7 0

3 years ago

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A cylindrical water tank is 1.2 meters high and has a diameter of 4.6 meters. Approximately how much cubic meters of water will

uranmaximum [27]

So what you need to do is find the volume and divide it by 2.

6 0

2 years ago

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How do you do this question?

vivado [14]

Answer:

-1

Step-by-step explanation:

dy/dt = y² − 1 = (y + 1) (y − 1)

At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.

As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.

As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.

6 0

3 years ago