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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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Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?
DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is \frac{x}{a} +\frac{y}{b} =1

Now convert the above given line to the standard form

Divide the line by 30 we get

\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}

\frac{x}{15} -\frac{y}{\frac{30}{R} } =1

Here the y-intercept is 30/R

Given y-intercept = 5

\frac{30}{R} =5

R = 6

4 0
3 years ago
Michael threw a baseball 17.6 meters. His older brother, Kyle, threw a baseball 3.5 times farther than Michael. How far did Kyle
lukranit [14]

Answer: 61.6

Step-by-step explanation:

17.6 X 3.5 = 61.6

6 0
3 years ago
Read 2 more answers
Mrs.smells math class has 20 questions worth 100 points. if the multiple choice are worth 3 points and the short answer is worth
andreyandreev [35.5K]
Let, Number of multiple choice = x
Number of short answer question = y

Now, x + y = 20
& 3x + 11y = 100

Multiply 1st equation by 3, and subtract from eq,2, 
3x + 3y = 60
After subtraction, 
8y = 40
y = 40/8
y = 5

Now, substitute in eq (1), 
x + 5 = 20
x = 15

In short, There are 15 Multiple choice & 5 short answer questions

Hope this helps!
4 0
3 years ago
Olivia is making hot sauce. Her recipe calls for five red jalapeño peppers. If she only wants to make 60 percent of the recipe,
AleksandrR [38]
The answer is three peppers.
3 0
3 years ago
In a company there are 33 male and 42 female staff. Calculate the percentage of male and female staffs
VMariaS [17]

Answer: 44%, 56%

Step-by-step explanation:

Given

A company has 33 males and 42 female staff

So, the total staff is the sum of male and female

\Rightarrow \text{Total=}33+42\\\Rightarrow \text{Total=}75

The percentage of male staff is

\Rightarrow \text{Male }\%=\dfrac{33}{75}\times 100\\\\\Rightarrow  \text{Male }\%=44\%

The percentage of female staff is

\Rightarrow \text{female }\%=\dfrac{42}{75}\times 100\\\\\Rightarrow  \text{female }\%=56\%

7 0
2 years ago
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