Solve each proportion​

Answer:

what do you need help on?

Answer:

false

Step-by-step explanation:

for the segments to form a triangle, then

the sum of any 2 must be greater than the third.

15.9 + 10 = 25.9 ← not greater than 25.9

10 + 25.9 = 35.9 > 15.9

15.9 + 25.9 = 41.8 > 10

then the 3 segments will not form a triangle.

Answer: 30

Step-by-step explanation:

Answer:

Method 1

2(n+8)

2n+16=2x7+16

14+16=30

Method 2

2(n+8)

2(7+8)=2(15)

=30

Answer:

15

Step-by-step explanation:

4/1.6=2.5

2.5*6=15

=15

Answer:

(a) The approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution = 0.00738

The approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b)  pM - pF =  0.06

While pF - pM = -0.06

The difference in the standard deviation ≈ 0.01025

(c) The probability that a higher proportion of women than men worked last year is 0

Step-by-step explanation:

(a) The given information are;

The percentage of college men that were employed last summer = 88%

The percentage of college women that were employed last summer = 82%

The number of college men interviewed in the survey = 400

The number of college women interviewed in the survey = 400

Therefore, given that the proportion of women that worked = 0.82, we have for the binomial distribution;

p = 0.82

q = 1 - 0.82 = 0.18

n = 400

Therefore;

p × n = 0.82 × 400 = 328 > 10

q × n = 0.18 × 400 = 72 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.82\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.82 \times 0.18}{{400} }} \approx 0.01921\\[/tex]

Therefore, the approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution ≈ 0.01921

Similarly, given that the proportion of male that worked = 0.88, we have for the binomial distribution;

p = 0.88

q = 1 - 0.88 = 0.12

n = 400

Therefore;

p × n = 0.88 × 400 = 352 > 10

q × n = 0.12 × 400 = 42 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.88\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.88 \times 0.12}{{400} }} \approx 0.01625\\[/tex]

Therefore, the approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b) Given two normal random variables, we have

The distribution of the difference the two normal random variable = A normal random variable

The mean of the difference = The difference of the two means = pM - pF = 0.88 - 0.82 = 0.06

While pF - pM = -0.06

The difference in the standard deviation, giving only the real values, is given as follows;

[tex]The \ difference \ in \ standard \ deviation = \sqrt{ \dfrac{p_1 \times q_1}{{n_1} } -\dfrac{p_2 \times q_2}{{n_2} } }\\\\= \sqrt{\dfrac{0.82 \times 0.18}{{400} }-\dfrac{0.88 \times 0.12}{{400} }} \approx 0.01025\\[/tex]

(c) When there is no difference between the the proportion of men and women that worked last summer, the probability that there is a difference = 0

Therefore, taking 0 as the standard score, we have;

[tex]z = \dfrac{0 - (-0.06)}{0.01025} \approx 5.86[/tex]

Given that the maximum values for a cumulative distribution table is approximately 4, we have that the probability that a higher proportion of women than men worked last year is 0.

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The representation of Matt's reading the book is an illustration of unit rates

The best representation of the rate is (b) Matt reads 66 pages per hour

The given parameters are:

Pages = 792 pages

Time = 12 hours

The rate is then calculated as:

Unit Rate = Pages/Time

This gives

Unit Rate = 792/12

Evaluate the quotient

Unit Rate = 66

This means that Matt reads 66 pages per hour

Read more about unit rates at:

https://brainly.com/question/19493296

The total discount was 48% of the original price of $387.50

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the original price.

Discount = (32% of x) + (16% of x) = 0.48x = 48% of x

The final price of these items is 186 off the original price.

x - 0.48x = x - 186

x = $387.50

The total discount was 48% of the original price of $387.50

The solution to the equation 6a = 42 gives a = 7

Find out more on equation at: https://brainly.com/question/2972832

Answer:

24 students per class

Step-by-step explanation:

Answer:

24 students per class.

Step-by-step explanation:

so, the function is

h(t) = -16t² + 30t + 6

we get the point of the extreme value(s) by finding the zero solution(s) of the first derivative of the function.

h'(t) = -32t + 30

finding the zero solution

-32t + 30 = 0

30 = 32t

t = 30/32 = 15/16 seconds

after 15/16 seconds (not even a full second) the ball reaches its maximum height.

the height at that maximum is then h(15/16) :

-16(15/16)² + 30×15/16 + 6 = - 15²/16 + 450/16 + 6 =

= -225/16 + 450/16 + 96/16 = 225/16 + 96/16 = 321/16 =

= 20.0625 ft

and so, the range (the interval or set of all valid functional values) is

0 <= h(t) <= 20.0625

as naturally, on a normal surface and environment, the height of the ball cannot go below 0 (when it hits the ground, it's over).

Answer:

  450

Step-by-step explanation:

To evaluate the function for a particular value of the variable, put that value in place of the variable and do the arithmetic.

__

  y = 200×1.07^x   for x = 12

  y = 200×1.07^12 ≈ 200×2.252 ≈ 450

The deer population is about 450 after 12 years.

Answer:

size of the dog

Step-by-step explanation:

Hope this helps

Option B is the correct answer.

Given that, the amount of time it takes to give a dog a bath is most likely to be a function of the _____.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The amount of time it takes to give a dog a bath is directly proportional to the size of the dog.

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/12431044.

#SPJ2

Answer:

False

Step-by-step explanation:

12 + 24 = 36

6 * 3 = 18

Answer: FALSE

Step-by-step explanation: So 12+24= 36 then 6 x 3 = 18 it's not the same answer

Answer:

Its B $77,456 I just got it correct on the quiz

Step-by-step explanation:

Step-by-step explanation:

50 000 cm2 = 5 m2

hope it helps

Answer:

[tex]5 meters^{2}[/tex] or 5m2

Step-by-step explanation:

1 meter^2 = 10000 cm

There for we could set up a ratio for this problem

[tex]\frac{x}{50000}: \frac{1}{10000}[/tex]

Using cross-multiplication we get:

[tex]10000x = 50000[/tex]

Divide 50,000 by 10000 we get:

[tex]5[/tex]

Therefore the answer is [tex]5 meters^{2}[/tex]

50 000 cm2 = 5 m2

Hope this helps! :)

Answer:

the probability that either B occurs without A occurring or A and B both occur is 0.73.

Step-by-step explanation:

Answer:

3^5 = 3 x 5 ( False )

6^3 = 216 ( True )

9^1 = 1^9 ( False )

Step-by-step explanation:

3^5

= 3 x 3 x 3 x 3 x 3

= 243

6^3

= 6 x 6 x 6

= 216

9^1 = 9

First question:  

    [tex]3^5=3*3*3*3*3[/tex] ≠ [tex]3*5[/tex]

    Answer: False

Second question:

   [tex]216 = 6 * 6 * 6 = 6^3[/tex]

    Answer: True

Third Question:

   [tex]9^1[/tex] ≠ [tex]1 * 1*1*1*1*1*1*1*1=1^9[/tex]

   Answer: False

Answer:40%

Step-by-step explanation:

10 divided by 2 is 5.

Since there are five balls, and four are white and one is red, if you double that amount, then you would have 8 white and 2 red. So four white balls is equal to 40%.

Answer:

It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8

Step-by-step explanation:

Given

[tex]0.739 > 0.7380[/tex]

Required

Select the true statement

Analyzing both number base on the place value.

Tenth: 7 = 7

Hundredth: 3 = 3

Thousandth: 9 > 8

Hence, the statement is correct.

Option B answers the question because 9 is greater than 8

Answer:

3 + 2 = 5

Step-by-step explanation:

Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.

Answer:

1. >

2. <

3. =

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

3x+12-8x=19+2x (combine liked terms)

-5x+12+19=2x (move variable to the left-hand side and change its sign)

-5x-2x+12=19 (combine liked terms)

-7x=19-12 (divide both sides of the equation by -7)

x=-1

Answer:

The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.

Answer: 23.1

Step-by-step explanation:

By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.

162 = 7x

x = 162/7, which is about 23.1

Answer:

10x+5/16

Step-by-step explanation:

just add them all together

:) Hope you enjoy :)

Answer:

(x−10) (x+2)

Step-by-step explanation:

Answer:

m<B= 56

Step-by-step explanation:

A triangle has 180 degrees. This is right triangle meaning there is one angle that is 90 degrees. That's angle A since it's indicated by the little box.  So 90+34= 124. You then subtract that from 180 to get 56.

half the hexagon is a straight line so its 180°

then 180 will be divided by the 3 sectors

180°÷3

=60°