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2 years ago

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250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table.

If a person is selected at random, what is the probability that the person is at least 175 centimeters tall?

1 answer:

morpeh [17]2 years ago

4 0

250 ÷ 164 = 0.656
D. 0.656

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Let f(x)=34x2−1. The function g(x) is a vertical stretch of f(x) by a factor of 8. What is the equation of g(x)? Enter your answ

bezimeni [28]

For finding the answer of such a question, we only multiply the function by the given value. so as for f(x)=34x2−1, The function g(x), a vertical stretch of f(x) by a factor of 8 is g(x) =8(34x2−1)

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The formula C =πr relates the radius r of a circle to its circumstance C. Solve the formula for R

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To solve for $r$ , we are going to want to get it on one side of the equation by itself, or isolate it. To do this, we can divide both sides of our equation by π, as shown below:

$C = \pi r$

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1 year ago

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The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

$12x = 1,200$

$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

He should plant 100 acres of corn and 400 acres of wheat.

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1 year ago

Patty went to a dinner celebrating the wedding anniversary of her aunt and uncle. She asked her aunt how long they’ve been marri

bija089 [108]

Answer:

hello and 1900

Step-by-step explanation:

kbj

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1 year ago

Isabella averages 152 points per bowling game with a standard deviation of 14.5 points. Suppose Isabella's points per bowling ga

Serga [27]

Answer:

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 152, \sigma = 14.5$

The z-score when x=187 is ...

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{187 - 152}{14.5}$

$Z = 2.41$

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

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1 year ago