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3 years ago

It's all on the picture

Mathematics

2 answers:

GarryVolchara [31]3 years ago

5 0

Answer:

The variable is D

Step-by-step explanation:

a variable is an unknown quantity among an equation

saul85 [17]3 years ago

4 0

The variable in the equation is the letter “d”
d is the variable because a variable is a letter used to represent the unknown number. So d is the variable.

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billy stacked six pieces of wood on top of one another if each piece was three quarts of a foot tall how tall was his pile

NemiM [27]

Answer:

9/2 feet

Step-by-step explanation:

This means that the total height is 6 * 3/4 or 18/4=9/2 of a foot.

8 0

3 years ago

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IQ scores are normally normally distributed with a mean of 100 and center deviation of 15 if one person is randomly selected wha

Arlecino [84]

Answer:

22.86% probability that the persons IQ is between 110 and 130

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 15$

If one person is randomly selected what is the probability that the persons IQ is between 110 and 130

This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.

X = 130

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{130 - 100}{15}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 110

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 100}{15}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486

0.9772 - 0.7486 = 0.2286

22.86% probability that the persons IQ is between 110 and 130

6 0

3 years ago

Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33

Brrunno [24]

$\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}$

To solve for $x$ , we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

$\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}$

$\sqrt{33}$ cannot be simplified, so we'll leave it as-is.

Add $4$ to both sides to fully isolate $x$ .

$x=\pm\sqrt{33}+4$

Expand the solution by making two solutions, one where $\sqrt{33}$ is positive and one where it's negative.

$x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$

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3 years ago

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When x pounds of force is applied to one end of a lever that is L feet long, the resulting force y on the other end is

nadezda [96]

The question is worded poorly, but it looks like you have a lever in equilibrium, with a force x at a distance d from the fulcrum, and a force y at a distance L - d from the fulcrum. You already have the equilibrium formula for this situation:

xd = y(L - d)

If you know x, y, and d, you can solve for the length L.

3 0

3 years ago

The question is: find 55% of $4.80...how do I find the answer?

tresset_1 [31]

4.80 = 100%
x = 55%

Cross Multiply

100 * x = 55 * 4.80
100x = 264
x = <u>264</u>
100
x = 2.64

Solution: $2.64

6 0

3 years ago

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It's all on the picture ​

It's all on the picture