All categories

2 years ago

The scores on a standardized test are normally distributed with a mean of 80 and standard

Mathematics

1 answer:

blsea [12.9K]2 years ago

3 0

Answer:

84.5

Step-by-step explanation:

Given :

Mean μ = 80

Standard deviation, σ = 5

Z = number of standard deviations from the mean, Z = 0.9

Teat score, x

Using the Zscore formula :

Zscore = (x - μ) / σ

Plugging in our values :

0.9 = (x - 80) / 5

Cross multiply

0.9 * 5 = x - 80

4.5 = x - 80

4.5 + 80 = x

x = 84.5

Test score = 84.5

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Determine the value of c that will result in a perfect square trinomial. <br> w^2+6w+ c =130+c

Genrish500 [490]

Answer:

The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

Step-by-step explanation:

We need to determine the value of c that will result in a perfect square trinomial.

$w^2+6w+ c =130+c$

Perfect square trinomial are of form: $a^2+2ab+b^2=(a+b)^2$

Now, the equation given is:

$w^2+6w+ c =130+c$

Looking at the term 6w, we can write it as 2(w)(3)

We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2

So, we will be adding (3)^2 on both sides

$w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139$

So, The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

3 0

3 years ago

Graph the inequality. 4x + 6y ≥ 10

Nataliya [291]

Answer:add me on insta for all the answers to ur assignment @itzxion_

Step-by-step explanation:

6 0

3 years ago

Consider the equation

muminat

Answer:

A. $a=10\\ \\b\neq -8$

B. $a=10\\ \\b= -8$

Step-by-step explanation:

Consider the equation

$2(5x-4) = ax + b$

A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.

First, use distributive property:

$2(5x-4)=2\cdot 5x-2\cdot 4=10x-8$

So, the equation is

$10x-8=ax+b$

This equation has no solutions when

$a=10\\ \\b\neq -8$

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.

So, the equation

$10x-8=ax+b$

has infinitely many solutions when

$a=10\\ \\b= -8$

In other cases, the equation has a unique solution

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2 years ago

Use substitution to solve each system of equations:<br><br> x=y+6<br> x+y=10

Fittoniya [83]

= (y+6) +y =10
= 2y + 6 = 10
= 2y = 4
Y= 2

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3 years ago

A doctor compiles a numbered list of all his 350 patients. He selects every 25th patient to receive a survey after

Vinil7 [7]

Answer: This does not represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen.

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3 years ago