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nlexa [21]
2 years ago
6

Cara is a high school student. On average, there are 26 students per class at her school, with a standard deviation of 3 student

s. What percentage of classes at Cara's high school will have between 20 students and 35 students?
A. 0.15%
B. 97%
C. 99%
D. 0.3%
Mathematics
1 answer:
aliina [53]2 years ago
8 0

Answer:

B. 97%

Step-by-step explanation:

20 students is -2 standard deviations away from the mean

35 is +3 standard deviations away from the mean

100 - 2.4 = 97.6

(2.4 is amount of data we are not using)

please refer to the standard deviation graph attached :)

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The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.)
Butoxors [25]

Answer:

Area of a circle=pi*(radius)^2

Diameter=2*radius

=> radius=5 m

Area=3.14*(5)^2=3.14*25=78.5 m^2

Step-by-step explanation:

5 0
3 years ago
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If m(x) =x+5/x-1 and n(x) =x-3 which function has the same domain as (m.n)(x)
Travka [436]

Answer:

Step-by-step explanation:

m (x) = (x+ 5) / (x -1)        and     n(x) = x - 3.

m(x) = \dfrac{x+5}{x-1}

Hence

m(n) = \dfrac{n+5}{n-1}

but n is a function and n = x-3. Now, replace value of n on m (n)

(m(n))= \dfrac{(x-3)+5}{(x-3)-1}

simplify it

(m\bullet n)(x) =\dfrac{x+2}{x-4}\\

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among options, only C has the same denominator with (m\bullet n)(x)

Hence their domains are the same.

4 0
3 years ago
Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab
Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

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Let,

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x be the number of hours

According to given statement;

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111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

\frac{14x}{14}=\frac{56}{14}\\x=4

Hence,

Audrey can afford 4 hours of lesson.

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