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Gennadij [26K]
2 years ago
11

The mean number of words per minute (WPM) read by sixth graders is 86 with a variance of 225. If 44 sixth graders are randomly s

elected, what is the probability that the sample mean would differ from the population mean by less than 3.71 WPM
Mathematics
1 answer:
Dmitry [639]2 years ago
3 0

P(X<=x) = 1 + 5.486 = 6.486

The z-score of the information given is,

z = (x - µ )/ σ

Where,

µ = mean

σ = standard deviation

From the information given,

x = 3.71

µ = 86

σ  = √225 = 15

hence,

z = (3.71 - 86)/15 = -5.486

thus,

P(X<=x) = 1 + 5.486 = 6.486

hence , P(X<=x) = 1 + 5.486 = 6.486

Learn more about variance here brainly.com/question/9304306

#SPJ4

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Graph the equation (x - 3)^2 + (y - 2)^2 = 25 and y = 6.
Dmitriy789 [7]

Answer:

x=6, x=0

Step-by-step explanation:

(x - 3) ^{2}+ (y - 2) ^{2}= 25

(x - 3) ^{2}+ (6 - 2) ^{2}= 25

x=6, x=0

3 0
3 years ago
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
seraphim [82]

Answer:

73

Step-by-step explanation:

48^2 + 55^2 = 5329

square root of 5329 is 73

7 0
3 years ago
Read 2 more answers
Solve the equation x + 0.7 = 1 - 0.2x in two different ways.Then check your answer.Show your work!
expeople1 [14]
Simplifying
x + 0.7 = 1 + -0.2x

Reorder the terms:
0.7 + x = 1 + -0.2x

Solving
0.7 + x = 1 + -0.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7

Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3

Divide each side by '1.2'.
x = 0.25

Simplifying
x = 0.25

I only know 1 way.
6 0
4 years ago
Urgent answer needed pls​
worty [1.4K]

Answer:

48 cm²

Step-by-step explanation:

PTRS is parallelogram with the base length= 8cm and the height as same as the height of ∆SUR.

the height = 2×24/8 = 6cm

so, the area of PTRS= 8×6 = 48 cm²

6 0
3 years ago
a rectangular has a perimeter of 50 centimeters if the width of the rectangular is 10 centimeters what is its length
kogti [31]
10+10=20 50-20=30/2= 15 cm for length
5 0
2 years ago
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