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patriot [66]
2 years ago
5

The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s

test score was 72, which expression would she write to find the z-score of her test score? z = StartFraction 72 minus 79 Over 7 EndFraction z = StartFraction 72 minus 7 Over 7 EndFraction z = StartFraction 79 minus 72 Over 7 EndFraction z = StartFraction 7 minus 79 Over 7 EndFraction.
Mathematics
1 answer:
storchak [24]2 years ago
6 0

The value of z score for the history class test of Opal’s test score is negative one (-1).

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The z score for the normal distributed data can be given as,

Z=\dfrac{X-\mu}{\sigma}

The mean value of the scores of history class is,

\mu=79

The standard deviation value of the scores of history class is,

\sigma=7

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

z=\dfrac{72-79}{7}\\z=-1

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).

Learn more about the normally distributed data here;

brainly.com/question/6587992

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A rose garden is formed by joining a rectangle and a semicircle. The rectangle is 33ft long and 21ft wide. If the gardener wants
jeyben [28]

Answer:

The perimeter of the garden is 126.81 feet.                                      

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangle:

Length, l = 33 feet

Width, w = 21 feet

Dimension of semicircle:

Diameter of circle, d = 33 feet

r = \dfrac{d}{2} = \dfrac{33}{2} = 16.5

Perimeter of garden =

P =\text{(Length + 2(Width)) + Perimeter of semi circle}\\P =l + 2(w) + \pi(r)\\P = 33 + 2(21) + 3.14(16.5)\\P = 126.81

Thus, the perimeter of the garden is 126.81 feet.

3 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1
shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

h(x) =  \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }

h(x) =  \frac{ {(x + 1)}^{2} }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ (x + 1)(x + 1) }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ x + 1}{ {x}  - 1}

The vertical asymptote occurs at

{x} - 1 = 0

x = 1

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

y =  \frac{1}{1}

y=1

8 0
3 years ago
2. Which product is negative?
Paul [167]

Answer:

B) , C)

Step-by-step explanation:

Assuming that you are multiplying each of the numbers for each given answer.

Look at the amount of negative signs provided. Odd amounts of negative will always guarantee a product of a negative answer. Even amounts of negative will always guarantee a product of a positive answer.

In this case, C. -4 , -4 , -4 , 4 & B. -4 , -4, -4, 4 are your answers, for both only have 3 negative signs, which would make a negative answer.

~

8 0
3 years ago
Read 2 more answers
a student showed the steps below while solving the equation 14=log5(2x-3) by graphing. which step did the student make the 1sr e
mixer [17]

Answer:

x= \frac{5^{14}+3}{2}

Step-by-step explanation:

The correct steps to solve the equation are:

14=log_5(2x-5)

5^{14}=5^{log_5(2x-3)}

Because a^{log_am}=m

So, solving we get:

5^{14}=2x-3

Sum 3 on every side:

5^{14}+3=2x-3+3\\5^{14}+3=2x

Dividing by 2 into both sides:

\frac{5^{14}+3}{2}=\frac{2x}{2}\\\frac{5^{14}+3}{2}=x

So, the answer is  x= \frac{5^{14}+3}{2}

7 0
3 years ago
Name
Aliun [14]

The completed table is given below,

the percentage of girls in the class is 47.62%,

the percentage of boys in the class is (100-47.62)% = 52.38%,

the percentage of students that love Math is 36.5%,

the percentage of students that love Reading is 22%, and

the percentage of students that love Science is 41.27%

To make comparison and statistical analysis easier, numerical data is systematically and logically represented in tabulations as rows and columns. Grouping relevant data together makes comparison easier and aids in statistical analysis and interpretation.

To put it another way, tabulation is the process of organizing data and presenting it in a tabular format. Depending on the type of categorization, it might be double, complicated, or simple.

The below table yields that

The total number of students is 315

The fraction of girls in the class is 150/315 = 0.4762

So, the percentage of girls in the class is 47.62%

Hence the percentage of boys in the class is (100-47.62)% = 52.38%

The fraction of students that love Math is 115/315 = 0.365

So, the percentage of students that love Math is 36.5%

The fraction of students that love Reading is 70/315 = 0.22

So, the percentage of students that love Reading is 22%

The fraction of students that love Science is 130/315 = 0.4127

So, the percentage of students that love Science is 41.27%

Learn more about tabulation here-

brainly.com/question/10670417

#SPJ10

7 0
2 years ago
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