A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.

Answer:

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that [tex]\mu = 8, \sigma = 4[/tex]

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.56 - 8}{4}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

X = 1.48

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.48 - 8}{4}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Answer:

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Step-by-step explanation:

Given

x = midpoint of -5 and 11

y = absolute value of x

Required

Determine the value of y

First, calculate x.

[tex]x = \frac{1}{2}(-5 + 11)[/tex]

[tex]x = \frac{1}{2}(6)[/tex]

[tex]x = 3[/tex]

y can then be represented as:

[tex]|y| = x[/tex]

[tex]|y| = 3[/tex]

Split:

[tex]y = 3[/tex] or [tex]-y = 3[/tex]

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Answer:

positive 8 i think

Step-by-step explanation:

-8=8

Answer:

1st one i think is B

the 2nd i think is C

Answer: 17.7

Step-by-step explanation:

[tex]tan x = \frac{7}{22} \\tan x = .318181\\inverse tan of .3181818= 17. 65[/tex]

Answer:

A

Step-by-step explanation:

because just multiply each number by -3 and it should be the next nember

Answer:

A

Step-by-step explanation:

-2×(-3)=6 then 6×(-3)=-18 and so on

Answer:

c

Step-by-step explanation:

Answer:

300

it is given that 12% were rotten

12% = 36

then let total no of apple be X

then , x*12/100 = 36

x= 36*100/12

x = 300

hence total apple were. = 300

hope it helps

Answer:

40 B

Step-by-step explanation:

edge 2021

Answer:

gbrggbtgrrbfrhrhhhhhthrghrjwhrhr

Step-by-step explanation:

g

g

g

g

gg

g

rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb

FOOOOOOOOOOOOOT YEEEEEEEEEEEEEET

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

all the other ones are incorrect.

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

30 combinations is the answer.

Step-by-step explanation:

Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.

And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.

So, possible combination can be =  combinations.

Answer:

I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.

Step-by-step explanation:

You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.

Thus, until 50, you just gotta do the calculation for that speed. You notice that she needs to go 30 feet, at a speed of 0.25 feet per second, or 1 foot every 4 seconds.

Answer:

y=2(4^x)

Step-by-step explanation:

exponential equation in form y=ab^x

sub both point and solve

8=a(b^1)=ab...(1)

32=a(b^2)....(2)

equation (2)/(1):

32/8=b

b=4

a=2

Answer:

it's compliment is 55 degrees  (55+35 = 90 degrees)

it's supplement is 145 degrees (145 + 35 = 180 degrees)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.

Answer:

x= -25

Step-by-step explanation:

Do 8 plus 17=25

x must be positive so -25

Answer:

the answer is .008 if my math is correct

Answer:

0.5

Step-by-step explanation:

I said soooosnsmmsmsms

Answer:

12 + 4x

Step-by-step explanation:

To solve this you would have to use the distributive property.

The problem would basically go like this.

4 (3+x)

(Distribute)

(4x3) (4 x X)

4x3 = 12, 4 x x = 4x

So the answer would be 12 +4x

Hope this helps :)

Answer:

12+4x

Step-by-step explanation:

4(3+x)

1️⃣Expand by distributing terms.

4*3+4x

2️⃣Simplify 4*3 to 12

12+4x

Answer: 12+4x

Done ✔

What number must you add to x² + 16x = 3 to complete the square 64: Option C

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

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