A school in New Zealand collected data about the employment status of the mother and father in two-parent families. The two-way table of column relative frequencies below shows the data.
Father works full time Father works part time Father not working
Mother works full time
0.17
0.170, point, 17
0.14
0.140, point, 14
0.13
0.130, point, 13
Mother works part time
0.23
0.230, point, 23
0.14
0.140, point, 14
0.07
0.070, point, 07
Mother not working
0.60
0.600, point, 60
0.71
0.710, point, 71
0.80
0.800, point, 80
Column total
1.00
1.001, point, 00
1.00
1.001, point, 00
1.00
1.001, point, 00
Based on the data, which of the following statements must be true for the two-parent families at that school?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
A family where the father works part time is twice as likely as a family where the father is not working to have the mother work part time.

(Choice B)

It is most common for neither parent to be working.

(Choice C)
C
Families where the father works full time are more likely to have the mother working full time than part time.

(Choice D)
D
There are twice as many families where the mother works full time and the father works part time as families where the mother works part time and the father doesn't work.

Answer:

x = -1/24 = -0.042

Step-by-step explanation:

Step  1  :   Simplify  3/8

Step  2 :

Rewriting the whole as an Equivalent Fraction

Step  3  :

Calculating the Least Common Multiple

Equation at the end of step  3  :

 24x + 1

 ———————  = 0  

    8  

Last step:

Solving a Single Variable Equation :

5.2      Solve  :    24x+1 = 0  

Subtract  1  from both sides of the equation :  

                     24x = -1

Divide both sides of the equation by 24:

                    x = -1/24 = -0.042

Hope this helps.

Answer:

Yes because 3x5 is 15

Step-by-step explanation:

Answer:

Slope: 2

Y-intercept: (0,-7)

Step-by-step explanation:

2(x-3)=y+1

distribute the 2 through the parentheses

2x-6=y+1

2x+6=0+1

(change the y to 0)

2x-6=1

add 6 to both sides(+6 cancels out -6)

2x=1+6

divide both sides by 2

x=7/2 or x=3.5

hope this helps!

Answer:

784

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

34+22=56

28÷2=14

56×14=784

Answer:

25 tomes 2 50 times 5 250

Step-by-step explanation:

Answer:

The shaded area is 475 yds²

Answer:

D. 18x-0.08y

Step-by-step explanation:

He will make 18 monthly payments of x dollars on the total amount leftover after paying an 8% down payment. So his finance charge is payment minus down payment: 18x-0.08y

The expression correctly represents Adam's finance charge is

C. 18x-0.92y.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From, The given information,

8% of the downpayment is (8/100)×y = 0.08y and te total monthly payment is 18x.

Therefore,

The phrase that accurately describes Adam's finance charge is,

y = 0.08y + 18x.

y - 0.08y = 18x.

0.92y = 18x.

18x - 0.92y = 0.

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Answer:

-20

Step-by-step explanation:

It is the farthest from 0.

Answer:

A. -20

Step-by-step explanation:

The absolute value means take the positive value

A. -20

abs(-20) = 20

B. 0

abs(0) = 0

C. 10​

abs(10) = 10

20 is the largest value

Answer:190

Step-by-step explanation:

If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

Answer:

-220

Step-by-step explanation:

Answer: I believe D is the correct answer.

Step-by-step explanation:

I just took the test. Hope this Helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Multiply each GDP number by its country's population.

Step-by-step explanation:

The GDP depends on the higher or lower population.

The highest GDP and highest population product all help decide the living standards of the country.

After you have multiplied the countries' GDP by its population you compare.

Answer:

529 units squared

Step-by-step explanation:

Answer:

128 tons can be processed in 8 hours.

Step-by-step explanation:

48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)

16 x 8

  =128

Answer:

128 tons in 8 hours

Step-by-step explanation:

do 48 divided by 3 = 16      

to see how much tons get produced in an hr.

then when you do 16x8 which is 128

Answer:

Let's denote:

P(discount on 15 holidays) = P(A) = 0.87

P(discount on 100 weekends) = P(B) = 0.38

P(discount on 250 weekdays) = P(C) = 0.17

=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360

          = 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360

          = 0.26

Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:

P  = 100/(100 + 250 + 15) = 0.27

Hope this helps!

:)

Answer:

1. 0.256

2. 0.406

Step-by-step explanation:

Total days:

15 + 100 + 250 = 365

P(more than 10% discount)

= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)

= 1871/7300

0.2563013699

P(weekend/more than 10% discount)

= (0.38×100/365) ÷ (1871/7300)

= 760/1871

0.4061998931

Answer:

C  F

Step-by-step explanation:

Answer:

2/10 is equivalent to 1:5

6:30 is equivalent to 1:5

8 to 40 is equivalent to 1:5

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer: The Median because the distribution is skewed to the right

Step-by-step explanation:

Answer:

Vince began practicing piano at 11:15 P.M

He stopped at 11:35 P.M

=> He practiced in 35 - 15 = 20 mins = 1/3 hour.

=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:

N = (1/3) x 360 = 120 deg (1 circle = 360 deg)

Hope this helps!

:)

Answer:

The distance from the helicopter to the fire is 8909 feet.

Step-by-step explanation:

Refer the attached figure

The pilot of a helicopter sights a fire at an angle of depression of 11° i.e. [tex]\angle ACB = 11^{\circ}[/tex]

The helicopter's altitude is 1700 feet.i.e.AB = 1700 feet

We are supposed to find the distance from the helicopter to the fire i.e. AC

Using trigonometric ratios

[tex]Sin \theta = Perpendicular}{Hypotenuse}\\\\Sin 11^{\circ}=\frac{AB}{AC}\\\\Sin 11^{\circ}=\frac{1700}{AC}\\\\AC=\frac{1700}{Sin 11^{\circ}}\\\\AC=\frac{1700}{0.1908}\\\\AC=8909.85 feet[/tex]

Hence the distance from the helicopter to the fire is 8909 feet.

Answer:

center: (0,0)

radius: 4 units

Step-by-step explanation:

the circle goes through points (0,4), (0,-4), (4,0), and -4,0).

if you notice, all four points are 4 away from the origin, (0,0). this means that there center is (0,0).

if you start at one of the points and go to the origin, it will be 4 units. that will be your radius

the answer is V≈254.47

Answer:

3x + 7y = −17

4x − 7y = 10

Add up both sides of 2 equations, then

7x = -7

=> x = 1

=> y =(3 x 1 - 17)/7 = -14/7 = -2

Hope this helps!

:)

Answer:

In 4 years = $1,893.72

In 16 years = $3,810.53

years to contain $2,000 = 4.9371454128

years to contain $2,500 = 8.766692911

Step-by-step explanation:

In 4 years

A = 1,500 (1 + 0.06)^4

  = $1,893.72

In 16 years

A = 1,500 (1 + 0.06)^16

   = $3, 810.53

to find number of years

t = ln (A/P) / ln (1+r)

when A = 2,000

t = ln(2,000/1,500) / ln(1+0.06)

 = 4.9371454128 years

when A = 2,500

t = ln(2,500/1,500) / ln(1+0.06)

 = 8.766692911 years

PS: You can also use log in place of ln

The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.

Let:

PV = Present value = $1,500

r = Interest rate = 6%, or 0.06

n = number of years

FVn = Future value after a certain number of years

Therefore, we have:

The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:

FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72

Therefore, the amount that will be in the account in four years is $1,893.72.

The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:

FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53

Therefore, the amount that will be in the account after 16 years is $3,810.53.

The number of years will it take for the account to contain $2000 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years

Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.

The number of years it will take for the account to contain $2500 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years

Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.

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Answer:

C. 1,297,956 square ft.

Step-by-step explanation:

480.6*755.9*1/2 (area of triangle)

4 triangles so the above x4

square base=755.9^2

add it all together to get 1,297,955.89 or about 1,297,956

[tex]\frac{2}{3}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

Answer:

2/15

Step-by-step explanation:

1/3 × 2/5 = 2/15

Answer:

72 and dignity is not important

Step-by-step explanation:

I think

Answer:

162

Step-by-step explanation:

1.8x10= 18

18x9=162

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

Answer: 0.71

Step-by-step explanation:

we have that cos(A) = 12/13

then:

A = Acos(12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin(2A) = sin(2*202.62°) = 0.71