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pychu [463]
3 years ago
10

1. In the expression 5(x + 3y), what does the 3 represent?

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:

Coefficient

Step-by-step explanation:

Coefficients are the number in front of the variable, therefore, 3 is a coefficient.

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Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer
Aloiza [94]
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120

Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
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What is 8.25% as fraction in simplest form
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Simplify. 9 – (–6) – 12
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A shipping container holds 40 tissue boxes. The dimensions of a tissue box are 4 inches by 6 inches by 3 inches. Select the stat
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Answer:

Each tissue box has a volume of 72 cubic inches

Step-by-step explanation:

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5 0
3 years ago
A population of values has a normal distribution with μ = 157.7 and σ = 57 . You intend to draw a random sample of size n = 24 .
alexgriva [62]

Answer:

z=1.64

And if we solve for a we got

a=157.7 +1.64*57=251.18

So the value of height that separates the bottom 95% of data from the top 5% is 251.18.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(157.7,57)  

Where \mu=157.7 and \sigma=57

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got

a=157.7 +1.64*57=251.18

So the value of height that separates the bottom 95% of data from the top 5% is 251.18.  

5 0
3 years ago
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