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3 years ago

What is this? Please answer with an explanation

Mathematics

1 answer:

Pie3 years ago

3 0

Answer:

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

$\sqrt{x-5} \geq 0; \ \ x\geq 5.$

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

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A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that

ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

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:

$\mu = 80.2, \sigma = 11$

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

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

$Z = \frac{63.7 - 80.2}{11}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0

3 years ago

If a/4 = 9/a, then a²=36 4a = 9a a + 4 = 9 + a a - 4 = 9 - a

Anna [14]

Answer:

Option A is correct.

The given expression : $\frac{a}{4} = \frac{9}{a}$ then;

$a^2 = 36$

Step-by-step explanation:

Given the expression: $\frac{a}{4} = \frac{9}{a}$

Cross multiplication the given expression following steps are as follow;

Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction

Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.

then, set the two products equal to each other.

Using cross multiplication, on the given expression;

$\frac{a}{4} = \frac{9}{a}$

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

$\frac{a \times a}{4} = 9$

Simplify:

$\frac{a^2}{4} =9$ [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

$a^2 = 9\times 4$

Simplify:

$a^2 = 36$

Therefore, the given expression is equal to: $a^2 = 36$

6 0

3 years ago

Read 2 more answers

The model represents the equation 3x - 2 < 4 what is the solution for this inequality

musickatia [10]

Answer:

x < 2

Step-by-step explanation:

3x - 2 < 4

+ 2 | + 2

------------------

3x < 6

↓

(3x) / 3 < 6 / 3

↓

x < 2

8 0

3 years ago

Find the missing angles in the parallelogram

Setler [38]

You know that D is 35° cause of the angle next to F. and <E=180-(120+35) so E is 25°

6 0

3 years ago

Twenty-seven of the 90 acres were planted with alfalfa. What percent of the acres was not planted with alfalfa?

9966 [12]

Answer:

70 percent

Step-by-step explanation:

Find how many acres were not planted with alfalfa by subtracting 27 from 90:

90 - 27

= 63

Find what percent this is by dividing it by 90:

63/90

= 0.7

So, 70 percent of the acres weren't planted with alfalfa.

7 0

3 years ago