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Aleksandr [31]
3 years ago
9

What is this? Please answer with an explanation

Mathematics
1 answer:
Pie3 years ago
3 0

Answer:

5

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<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> 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 &lt; 4 what is the solution for this inequality
musickatia [10]

Answer:

<em>x < 2</em>

<em />

Step-by-step explanation:

3x - 2 < 4

 <em>  + 2 | + 2</em>

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

    3x < 6

         ↓

<em>(3x) / 3  <  6 / 3</em>

         ↓

       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
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