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1 year ago

I need help. What are the answers????

Mathematics

1 answer:

Rasek [7]1 year ago

5 0

Answer:

5) a) x=55

Step-by-step explanation:

x=55

2x + 15 = 110 + 15

=125

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A point is chosen at random in the larger circle. What percent of the time will the point be in the shaded region? Round to the

Andru [333]

Answer:

Check the explanation

Step-by-step explanation:

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3 years ago

A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o

DENIUS [597]

To answer this question you will use ratios. The information given gives us a part to part ratio of 1 part vinegar for every 3 parts oil.

Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.

Use this information then and create an equivalent ratio with a total of 30 ounces. See below.

1 vinegar (x7.5) = 7.5 ounces
3 oil. (X7.5). = 22.5 ounces
4 total (x7.5). = 30 ounces

You will need 7.5 ounces of vinegar and a 22.5 ounces of oil.

7 0

3 years ago

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d

k0ka [10]

Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.

Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

$standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073$

Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

$P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\ \\ =1-P\left(z\ \textless \ \frac{x-\mu}{\sigma/\sqrt{n}} \right)$

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that <span>the average number of moths in 30 traps is greater than 0.7</span> given by:

$P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\ \\ =1-0.91455=\bold{0.0855}$

7 0

4 years ago

allsm [11]

Answer:

$\boxed{\text{15.8 cords}}$

Step-by-step explanation:

Step 1. Calculate the volume of the room

V = lwh = 5 yd × 5 yd × 3 yd = 75 yd³

Step 2. Convert cubic yards to cubic feet

3 ft = 1 yd

$V = \text{75 yd}^{3} \times \left(\dfrac{\text{3 ft}}{\text{1 yd}} \right)^{3} = \text{2025 ft}^{3}$

Step 3. Convert cubic feet to cords

128 ft³ = 1 cord

$V = \text{2025 ft}^{3} \times \dfrac{\text{1 cord}}{\text{ 128 ft}^{3}} = \textbf{15.8 cords}\\\\\text{You could fit }\boxed{\textbf{15.8 cords}} \text{ of wood into the room.}$

3 0

3 years ago

Which expression is another way of representing the given product?

daser333 [38]

Answer:

you add the numbers

Step-by-step explanation:

6 0

3 years ago