Thinking Critically and Solving Problems
About how much did the percent of working women with some college or an associate degree change
from 1996 to 2016?
Use the graph to answer the question.
Percent of women in the labor
force by educational attainment
100%
OOOO
A) 0%
B) 8%
C) 12%
D) 70%
80%
60%
Less than a high school diploma
High school graduates, no college
Some college or associate degree
Bachelor's degree and higher
40%
20%
0%
SUBMIT
1996
2006
2016
Source: U.S. Bureau of Labor Statistics
Question 16 of 21
31 AM

Answer:

[tex]\{a[/tex] ∈ [tex]R\ -21 \le a \le \infty \}[/tex] --- set builder

[tex][-21,\infty)[/tex] --- interval notation

Step-by-step explanation:

Given

[tex]-3a - 15 \le -2a + 6[/tex]

Required

Solve

Collect like terms

[tex]-3a + 2a \le 15 + 6[/tex]

[tex]-a \le 21[/tex]

Divide by -1

[tex]a \ge - 21[/tex]

Rewrite as:

[tex]-21 \le a[/tex]

Using set builder

[tex]\{a[/tex] ∈ [tex]R\ -21 \le a \le \infty \}[/tex]

Using interval notation, we have:

[tex][-21,\infty)[/tex]

Answer:

The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of Sines.

Step-by-step explanation:

The Law of Sines states that in any given triangle, the ratio of the length of any side to the sine of its opposite angle is the same for all three sides of the triangle and has a constant value.

The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of sine.

Here,

We have to find, the law which states that the ratio of the sine of an angle to the side opposite it is constant.

What is Law of sine?

If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side's length to the sine of the angle opposite the side must all be the same.

Now,

The law which states that the ratio of the sine of an angle to the side opposite it is constant is known as Law of sine.

Learn more about the Sine rule of law visit:

https://brainly.in/question/6277734

#SPJ2

Step-by-step explanation:

f(x)=(2x-1)square=0

it can be 0 or greater than 0

Hence,maximum value of (2x- 1)square=0

maximum value of (2x- 1square)+3=0+3=3

Answer:

P' (5, -4)

Step-by-step explanation:

P (4, -7)

x = 4 & Y =-7

T(4,. -7) = (4 + 1, -7 +3)

P' = (5, -4)

Answer:

there are two solutions:

x=0

and

x=14

Step-by-step explanation:

lts suppose the numbers are x and x+2, so:

[tex]x(x+2)=8(x+(x+2))-16\\x(x+2)=8(2x+2)-16=16x+16-16=16x\\x^2+2x=16x\\x^2-14x=0\\x(x-14)=0\\x=0,~x=14[/tex]

Answer: Yes it is a function.

This is because any x input leads to exactly one y output.

The graph passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the parabolic curve.

Answer:

Percent error=1.23%

Step-by-step explanation:

We are given that

Estimate length of room=20 feet

Actual length of room=20.25 feet

We have to find the percent error.

To find the percent error we will find the difference between the estimate length and actual length of room.

Difference=Actual length of room-Estimate length of room

Difference=20.25-20

Difference=0.25 feet

Now,

Percent error=[tex]\frac{Difference}{actual\;length}\times 100[/tex]

Percent error=[tex]\frac{0.25}{20.25}\times 100[/tex]

Percent error=1.23%

Answer:

Step-by-step explanation:

I'm sure he was making a joke at the expense of people who rely on mathematics rather than common sense. It is funny, but then Twain was a remarkably funny author..

The problem is that the comparison is apt using some sort of proportion, but it is absurd to think that the land holding the river would also shrink a proportional amount.  

The river reached a minimum (presumably) in 1875 by cutting out all the loops that were there in 1700. The Mississippi was then a straight line from it's beginning to its delta on the gulf of Mexico. It could not get any shorter. Still, Twain managed to get laughs with his whimsical humor.

Thanks for posting. This made my evening.

Answer:

14

Step-by-step explanation:

Given :

f(n) = 3.75n − 27.5

f(n) = 25

Put f(n) = 25 in the equation :

25 = 3.75n - 27.5

25 + 27.5 = 3.75n

52.5 = 3.75n

52.5 / 3 75 = n

14 = n

The position of the term is 14

Answer:

Step-by-step explanation:

1. 3/7 x = 12

  3x = 84

    x = 28

2. 3x+ 6 = 39

   3x = 33

    x = 11

3. 1/3 x - 3/4 x = 15

    9x  - 4x  = 180

       x =  36

4.   1/4 x = x -21

      3/4 x = 21

      3x = 84

        x=28

5.    86-36 = 50

      50/2

       25

Answer:

19.0%

Step-by-step explanation:

The probability that a student in the sample data is enrolled in painting Given that the student is female is a conditional probability and can be defined as :

Let,

F = Female ; P = painting

P(Painting Given female) = P(P|F) = (PnF) / F

From the table :

(PnF) = 16

F = 84

Hence,

P(P|F) = 16 / 84 = 0.19047 = 0.19047 * 100%

P(P|F) = 19.0%

Step-by-step explanation:

Interest (I)=R9600

Rate(R)=16%

Time (T)=5years

Principal (P)=?

P=100×I÷R×T

P=100×R9600÷16×5

P=R960000÷80

P=R12, 000

Answer:

      The amount he took as loan = R12,000

Step-by-step explanation:

Simple Interest

Let loan amount be = P

R = 16%

T = 5years

I = 9600

Find P

  [tex]I = \frac{PRT}{100}\\\\9600 = \frac{P \times 16 \times 5}{100}\\\\P = \frac{9600 \times 100}{16 \times 5} = 12,000[/tex]

Consider that choice B is the same as saying 2x^2+1x^0.

The exponents 2 and 0 are both even, which is sufficient to say that the entire polynomial function itself is also even.

Something like choice A expands out and simplifies to x^2-2x+2, and that's equivalent to saying x^2+2x^1+2x^0. The presence of the x^1 term, with its odd exponent, is what makes choice A not even (it's not odd either).

Similarly, choices C and D also have exponents of 1, so they aren't even either.

Answer:

G(x)=2x2+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

so let the equation equal 13

13 = 3[tex]x^{3}[/tex]-12x+13

so when ever 3[tex]x^{3}[/tex]-12x=0  then this is equation is true, soooo

x (3[tex]x^{2}[/tex] - 12) =0

so when x = 0  this is true, but also when

3[tex]x^{2}[/tex]-12=0   also

3[tex]x^{2}[/tex] = 12

[tex]x^{2}[/tex] = 4

x = 2

so when x = 2  or -2  or 0  ,  then this is true

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets [tex]\frac{1}{3}[/tex] of the job done.

If A can paint a room in 4 hours, in 1 hour she gets [tex]\frac{1}{4}[/tex] of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

[tex]\frac{1}{3}+\frac{1}{4}=\frac{1}{x}[/tex] where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

Answer:

1/2 or 0.5

Step-by-step explanation:

6/8 x 4/6 = 24/48

Answer:

1/2

Step-by-step explanation:

Answer: Is reinforced with other material

Step-by-step explanation:

The options are:

A is expensive to build.

B usually cracks under heavy weights.

C looks like any other road.

D is reinforced with other material.

The passage best supports the statement that a concrete road are reinforced with other material. According to the information given in the passage, steel plays a vital role in keeping the road surface flat.

Steel bars are embedded in concrete so that the stresses cannot crack the slab. Therefore, it indicates that concrete road is reinforced with other material.

Answer:

it equal:

answer is : [0234]

Answer:

All of them are in the domain.

Step-by-step explanation:

The function is f(x)= (x+1)^2. If you simplify this, you get y=x^2+2x+1=0. This is a quadratic that opens upwards. There are no gaps in the x values and no impossible values. The domain is all real numbers and all the answer choices are real numbers.

9514 1404 393

Answer:

  snow

Step-by-step explanation:

The relationship between temperature and altitude is given as ...

  T = -2 +((13000 -a)/1000)×2.1

We can put a=2000 into this equation to find the temperature at that altitude.

  T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1

The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.

Answer:

a) E(x) = -2p^2 + 2p + 2

b) Number is maximized when p = 1/2

Step-by-step explanation:

Determine the Expected number of games  when ( i ) = 2

The number of possible combinations that both teams win two games :

AA, BB, ABB, ABA, BAA, BAB  = 6 combinations

P( team A winning ) = p

P( team B wins ) = 1 - p

Attached below is the detailed solution on the expected number of games

expected number of games ; E(x) = -2p^2 + 2p + 2

ii) Number is maximized when p = 1/2

In this exercise we will use the knowledge of probability and combination, so we have what will be:

a)[tex]E(x) = -2p^2 + 2p + 2[/tex]

b)[tex]p = 1/2[/tex]

Organizing the information given in the statement as:

A)The number of possible combinations that both teams win two games :

[tex]AA, BB, ABB, ABA, BAA, BAB = 6 \ combinations\\P( team\ A \ winning ) = p\\P( team \ B \ wins ) = 1 - p\\E(x) = -2p^2 + 2p + 2[/tex]

B) To calculate the maximum number we must solve the quadratic equation, like this:

[tex]p=1/2[/tex]

See more about probability at brainly.com/question/795909

Answer:

[tex]180 - 2x + 180 - 4x + x = 180 \\ 360 - 5x = 180 \\ 180 = 5x \\ x = 36[/tex]

Answer:

The correct answer is "1668". A further solution is provided below.

Step-by-step explanation:

According to the question,

Estimated proportion,

[tex]\hat{p} = \frac{574}{1007}[/tex]

  [tex]=0.57[/tex]

Margin of error,

E = 0.02

Level of confidence,

= 90%

= 0.90

Critical value,

[tex]Z_{0.10}=1.65[/tex]

Now,

⇒  [tex]0.02=1.65\times \sqrt{\frac{0.57\times 0.43}{n} }[/tex]

 [tex]0.0004=2.7225\times \frac{0.2451}{n}[/tex]

         [tex]n=\frac{2.7225\times 0.2451}{0.0004}[/tex]

             [tex]=1668.21[/tex]

or,

         [tex]n \simeq 1668[/tex]

Answer:

option c

Step-by-step explanation:

becoz for inverse the number that is negative changes into positive like wise for the positive number it changes into negative , just opposites

Answer:

A dot product is the product of the magnitude of the vectors and the cos of the angle between them. A cross product is the product of the magnitude of the vectors and the sine of the angle that they subtend on each other.

Step-by-step explanation: