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3 years ago

14

. (05.08) Solve for x: 2 over quantity x minus 2 plus 7 over quantity x squared minus 4 equals 5 over x. (2 points) x = negative

4 over 3 and x = -5 x = negative 4 over 3 and x = 5 x = 4 over 3 and x = -5 x = 4 over 3 and x = 5

2 answers:

Soloha48 [4]3 years ago

6 0

Answer: x = negative 4 over 3 and x = -5

Step-by-step explanation:

LuckyWell [14K]3 years ago

3 0

So the answer is x = (-4/3) & 5

Hope this can help :)

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Write a division problem that has a quotient of 1/20

alexdok [17]

Answer:

5 divided by 100

Step-by-step explanation

5 divided by 100 is 0.05 but as a fraction, it's 1/20

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3 years ago

A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also

mylen [45]

Answer:

A) There is a 100% chance of meeting the height requirement for women.

B) There is a 99.89% chance of meeting the height requirement for men.

C) New height requirements are:

71.9 inches for men and 58.9 inches minimum for women.

At least 58.9 inches and at most 71.9 inches.

Step-by-step explanation:

This question involves finding z values which tell us the percentage from 0 to x.

z = (x-μ)/σ

A) In this question, the minimum sample point is 4 ft 9 inches or converting to inches, we have;(4*12) + 9 =57 inches.

The maximum sample point is 6 ft 4 inches which in inches gives; (6*12) + 4 = 76 inches

For the minimum point;

z = (57 - 63.3)/2.7 = -2.33

From the z-distribution table, this equates to 0.0099.

The maximum;

z = (76 - 63.3)/2.7 = 4.70

From the z-table, it gives 0.999.. Basically 100%.

So there is a 100% chance of meeting the height requirement for women.

B) For men;

the minimum z = (57 - 67.3)/2.8 = -3.68 which gives 0.00012 from the z-distribution table.

The maximum;

z = (76 - 67.3)/2.8 = 3.07 which gives 0.9989 from the z-distribution table. Basically, 99.89%.

So there is a 99.89% chance of meeting the height requirement for men.

C) To exclude the tallest 5% of men, we need to find the z-value for 0.95 and then solve for x.

Thus from the z-table, z = 1.65. So;

1.645 = (x - 67.3)/2.8

4.606 = x - 67.3

x = 67.3 + 4.606

x ≈ 71.9 inches for men.

So, Current minimum is okay.

To exclude the shortest 5% of women, we need to find the z for 0.05.

From the z-distribution table, it has a value of -1.645. So;

-1.645 = (x - 63.3)/2.7

-4.4415 = x - 63.3

x = 63.3 - 4.4415

x ≈ 58.9 inches minimum.

So, Current maximum is okay.

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4 years ago

Brandon has a jar of quarters and dimes with a total value of $7.05. The number of quarters is 3 less than twice the number of d

miv72 [106K]

Answer:

quarters: 23
dimes: 13

Step-by-step explanation:

Let d represent the number of dimes. Then the number of quarters is 2d-3 and the total value of the coins is ...

0.10d + 0.25(2d-3) = 7.05

0.60d -0.75 = 7.05 . . . . . . . simplify

d = (7.05 +0.75)/0.60 = 13 . . . . add 0.75, divide by 0.60

2d-3 = 2·13 -3 = 23

Brandon has 23 quarters and 13 dimes.

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3 years ago

Clare is playing a game with her 4-year-old cousin. There are 100 game tiles in a bag. Each

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the answer of the question is :

200 games because the square root of 2 is 4

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3 years ago

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Trian

kaheart [24]

The length of line segment BC is 10.5 inches.

Given that

The equation tan(55 degrees) equals 15/b, which can be used to find the length of Line segment AC.

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

We have to determine

What is the length of Line segment AC?

According to the question

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

Here, BC is not the hypotenuse of the right triangle ABC.

The length line segment AC is given by,

In triangle ABC

$\rm Tan\theta = \dfrac{Perpendicular}{Base}$

Where $\rm tan\theta$ = 55 degrees, Perpendicular = 15 and base is b.

Substitute all the value in the equation

$\rm Tan\theta = \dfrac{Perpendicular}{Base}\rm\\\\ Tan55= \dfrac{15}{b}\\\\b = \dfrac{15}{Tan55}\\\\b = \dfrac{15}{1.42}\\\\b = 10.5 \ inches$

Hence, the length of line segment BC is 10.5 inches.

To know more about Trigonometry click the link given below.

brainly.com/question/13350002

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3 years ago