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3 years ago

3.5y−12=1.5(y−2) A) One solution B) No solution C) Infinite solutions

Mathematics

1 answer:

Montano1993 [528]3 years ago

5 0

Answer:

Step-by-step explanation:

3.5y - 12 = 1.5y - 3

2y -12 = -3

2y = 9

y = 4.5

the answer is a. one solution

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The base of a triangular prism is a right triangle with a base of 5 inches, a height of 12 inches, and a third side length of 13

myrzilka [38]

Answer:

690 sq in

Step-by-step explanation:

SA = LA + 2B where LA is the lateral area and B is the area of the base

The triangular base has an area of

B = 1/2bh 1/2(5)(12) = 30

LA = ph where p is the perimeter of the base and h is the height of the prism

LA = (12 + 5 + 13)(21) = 30(21) = 630

SA = 630 + 2(30) = 630 + 60 = 690 sq in

3 0

3 years ago

A researcher collected data from a sample of correctional officers and found that on average they made 47,173 dollars a year wit

ollegr [7]

Answer:

a) $z = \frac{40000- 47173}{6364} = -1.127$

b) $z = \frac{50000- 47173}{6364} = 0.444$

c) $P(X>40000)=P(\frac{X-\mu}{\sigma}>\frac{40000-\mu}{\sigma})=P(Z>\frac{40000-47173}{6364})=P(z>-1.127)$

And we can find this probability using the complement rule and the normal standard distribution or excel and we got:

$P(z>-1.127)=1-P(z$

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".

Part a

Let X the random variable that represent the amount of money of a population of interet, and we know the following info:

Where $\bar X=47173$ and $s=6364$

We can assume that the sample size is large and the estimators can be used as a good description for the parameters $\mu \sigma$

The z score for 40000 would be:

$z = \frac{40000- 47173}{6364} = -1.127$

Part b

The z score for 50000 would be:

$z = \frac{50000- 47173}{6364} = 0.444$

Part c

We are interested on this probability

$P(X>40000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>40000)=P(\frac{X-\mu}{\sigma}>\frac{40000-\mu}{\sigma})=P(Z>\frac{40000-47173}{6364})=P(z>-1.127)$

And we can find this probability using the complement rule and the normal standard distribution or excel and we got:

$P(z>-1.127)=1-P(z$

8 0

3 years ago

A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat

aivan3 [116]

The group rent 11 river rent tubes and 4 cooler tubes.

Step-by-step explanation:

Rent for river rent tube = $20

Rent for cooler tubes = $12.50

Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15 Eqn 1

20x+12.50y=270 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30$

Dividing both sides by 7.5

$\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4$

Putting y=4 in Eqn 1

$x+4=15\\x=15-4\\x=11$

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the pre

vredina [299]

Answer:

The answer i 9

Step-by-step explanation:

If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.

6 0

2 years ago

In the data set {3, 7, 1, 4, 5, 7} what is the mean absolute deviation

Radda [10]

The answer would be 11 because you add them all up the divide by how many numbers you have witch is 6 and you get 4.5. Then you subtract 4.5 from all the numbers of the set and take the absolute value then add them all up again and that how you would get 11.hope I wasn’t to late!

6 0

3 years ago