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Genrish500 [490]
3 years ago
5

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st

andard deviation, to the nearest tenth, of the data if the scores represent a sample of Mr. Smith's students? a0 What is the standard deviation, to the nearest tenth, of the data if the scores represent the entire population of Mr. Smith's students?
Mathematics
1 answer:
Ghella [55]3 years ago
4 0
Mean: xbar = (∑i=1...10 xi)/10 = (61 + ... + 100)/10 = 84.4 Sum Of Squares in X SSX = ∑i (x - xbar)2 = (61 - 84.4)2 + ... + (100 - 84.4)2 = 1364.4 Standard deviation Sample: s = √[SSX / (10 - 1)] ≈ 12.3 Population: σ = √(SSX / 10) ≈ 11.7
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3 to the 4th power + 2 ⋅ 5 =
Mandarinka [93]
Hello,

The answer is "x=91".

Reason:

First write the equation:

3^4+2*5=

Now use PEMDAS:

E goes first:

3^4=3*3*3*3=81

81+2*5

M goes next:

2*5=10

81+10=

Now use A:

81+10=91

x=91

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
4 0
3 years ago
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind
Lunna [17]

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=\dfrac{Distance}{Speed}

According to the question,

\dfrac{450}{315+x}=\dfrac{360}{315-x}

Divide both sides by 90.

\dfrac{5}{315+x}=\dfrac{4}{315-x}

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

\dfrac{(1)315}{9}=x

35=x

Therefore, the speed of wind is 35 miles per hour.

4 0
3 years ago
Paolo is using his grandmother's breakfast bar recipe. He always doubles
Papessa [141]

Answer:

6\frac{1}{3} = 2\frac{1}{2} * 2 + \frac{x}{2}

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 \frac{1}{2} cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 \frac{1}{2} * 2 = 5 cups of yogurt.

the total of yogurt and oats is 6\frac{1}{3} and we know how much yogurt we have so we subtract that from the total of both.

6\frac{1}{3} - 5 = 1\frac{1}{3}

the oats after doubling were 1\frac{1}{3} cups so u divide it by 2

1\frac{1}{3} / 2 = \frac{2}{3} before doubling

7 0
3 years ago
PLZ HELP
Mashutka [201]
(5-5) x
It is different because when you distribute the x it will make it 5x-5x while all the other equations are 5-5x
7 0
3 years ago
Alfred works for a graphic design firm. He is making a poster to raise awareness for global warming. Which type of poster is he
12345 [234]

Answer: The answer is A

Step-by-step explanation: The answer is A because he is try to spread awareness for global warming which is informative.

6 0
3 years ago
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