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3 years ago

Which of the following is the quotient of the rational expressions shown below?

Mathematics

1 answer:

alex41 [277]3 years ago

3 0

Answer: B. (4x^2 + 20x)/(6x^2+x-2)

Division is the opposite of multiplication, so you just take 4x and multiply by x + 5, over 2x - 1 times 3x + 2, which is B.

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61 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. T

Molodets [167]

Complete question :

61 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

Pairs of Shoes4__5__6__7 __8 __9 __10 __11

Frequency : _ 8 _ 8 __5 _ 5 _ 9 __11 __7 ___8

Answer:

Mean = 7.64 ;

Median = 8

Q1 = 5

Q3 = 9

Atleast 10 pairs = 24.6

76% is equivalent to

Step-by-step explanation:

Round all your answers to 4 decimal places where possible.

The mean is:

Σfx /Σf

((8*4)+(5*8)+(6*5)+(7*5)+(8*9)+(9*11)+(10*7)+11*8)) ÷ (8+8+5+5+9+11+7+8) = 7.64

The median is:

0.5(n+1)th observation

n = frequency = 61

0.5(61 +1) = 1/2 * 62 = 31st observation

= 8

First quartile:

0.25(n+1)th observation

n = frequency = 61

0.25(61 +1) = 1/4 * 62 = 15.5

(15 + 16)th observation ÷ 2 = (5 + 5) / 2 = 5

The sample standard deviation is:

The third quartile is:

0.75(n+1)th observation

n = frequency = 61

0.75(61 +1) = 1/4 * 62 = 46.5

(46 + 47)th observation ÷ 2 = (5 + 5) / 2 = 9

What percent of the respondents have at least 10 pairs of Shoes? %

(7 + 8) / 61 = 15 / 61 = 0.246

76% of all respondents have fewer than how many pairs of Shoes?

(76 / 100) * 61

0.76 * 61

= 46.36

(46th + 47th)

(9 + 10) = 19 /2 = 9.5 = 10

6 0

3 years ago

HELPPP ME OUTTTT!!!!!

ryzh [129]

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

$\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$=\frac{13}{36}$

$=0.36111$

$\theta \approx \text{sin}^{-1}(0.36111)$

$\theta \approx 21.17$

$\theta \approx 21^{\circ}$

Therefore, measure of the unknown angle is 21°.

3 0

3 years ago

Jason is scuba diving at a constant rate toward the ocean floor. The equation

Anon25 [30]

Answer:

Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.

Step-by-step explanation:

Jason is scuba diving at a constant rate toward the ocean floor.

Equation: $y= -2.5x- 5$

x = The number of seconds Jason has been swimming.

y=The depth of Jason in meters below sea level

General equation : y=mx+c

m = Slope = rate of change per unit

On comparing m = -2.5

Negative signs represents the descending .

So, rate of descending per second = 2.5 m/sec

-5 denotes the initial position below sea level

So, Option D is true

So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.

6 0

3 years ago

The base of a rectangle is 15cm the perimeter is at most 94 cm. Write and solve an inequality to find the possible heights of th

tino4ka555 [31]

15 x 6 = 90 + 4 = 94 that's what I would do

4 0

4 years ago

Choose the equation of the graphed function

irinina [24]

Answer:

that's a

Step-by-step explanation:

y=[x]-3

I think

8 0

3 years ago