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1 year ago

Express the solutions of −34 < x < 10 in three different ways. Which is the solution in interval notation?

Mathematics

2 answers:

AveGali [126]1 year ago

8 0

Answer:

(-34, 10)

Step-by-step explanation:

It showed the answer on edg. after I got the answer wrong from the other person :P

The next answers to the question are:

{x| -34 < x < 10}

The last graph, D

Hope this helps :)

Phantasy [73]1 year ago

5 0

$-34$

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A case of Scout cookies has 10 cartons. A carton has 12 boxes. The amount you earn on a whole case is 10(12x) dollars.

Katen [24]

Simplified expression: 120x dollars

Step-by-step explanation:

Given,

Number of cartons in case of Scout cookies = 10 cartons

Number of boxes in carton of Scout cookies = 12 boxes

Amount earned on whole case = 10(12x) dollars

To simplify the expression, we will multiply 10 by 12x

Amount earned on whole case = 120x dollars

Simplified expression: 120x dollars

Keywords: multiplication, variable

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1 year ago

Identify the property used in each step of solving the inequality 3x – 2 > –4.

Marizza181 [45]

Answer:addition and multiplication

Step-by-step explanation:

I just did it

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2 years ago

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Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba

hram777 [196]

Answer: $0.5714\frac{1}{15}$

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George. For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = $0.5(0.5) = 0.25$

Thus Prob for Bill winning

= $0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...$

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = $\frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714$

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1 year ago

The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution o

Svetlanka [38]

Answer:

The standard deviation of car age is 2.17 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5

(a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age?

This means that 1 is 3 standard deviations below the mean and 14 is 3 standard deviations above the mean.

$14 = 7.5 + 3\sigma$

I want to find $\sigma$

$3\sigma = 6.5$

$\sigma = \frac{6.5}{3}$

$\sigma = 2.17$

The standard deviation of car age is 2.17 years.

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2 years ago

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There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the

pshichka [43]

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

$x+y=53$ -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

$y=3x-15$ ----> equation B

substitute equation B in equation A

$x+(3x-15)=53$

solve for x

$x+3x=53+15\\4x=68\\x=17$

Find the value of y

$y=3(17)-15=36$

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

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1 year ago

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