1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?

Answer:

True! Since if you replace x and y with 2 and 9, you will get 9 = 2 + 7 or 9 = 2 x 2 + 5 which makes the equation true.

Answer:

Step-by-step explanation:

In the question it is given that whether ( 2 , 9 ) is solution of system of equations that are y = x + 7 and y = 2x + 5 .

And we have to tell that it is true or false.

Solution : -

As in the question we're provided with ( 2 , 9 ) . So , Here :

( 1 )

[tex] \longmapsto \qquad \:y = x + 7[/tex]

Substituting value of x and y in equation :

[tex] \longmapsto \qquad \: 9 = 2 + 7[/tex]

[tex] \longmapsto \qquad \: \boxed{\bf{9 = 9}}[/tex]

As we see that left side is equal to right side .

( 2 )

[tex] \longmapsto \qquad \: y = 2x + 5[/tex]

Substituting value of x and y in equation :

[tex] \longmapsto \qquad \: 9 = 2(2) + 5[/tex]

[tex] \longmapsto \qquad \: 9 = 4 + 5[/tex]

[tex] \longmapsto \qquad \: \boxed{ \bf{9 = 9}}[/tex]

As we see that left side is equal to right side .

Answer:

25%

Step-by-step explanation:

18+6=24

[tex] \frac{6}{24} [/tex]

6÷24=0.25

0.25×100=25%

A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.

A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.

The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.

Therefore, a self-selecting sample is not likely to be representative.

Learn more about research here:

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Answer:

SSimplifying

2x + -3y = 19

Solving

2x + -3y = 19

Solving for variable 'x'.tep-by-step explanation:

Simplifying

2x + -3y = 19

Solving

2x + -3y = 19

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

2x + -3y + 3y = 19 + 3y

Combine like terms: -3y + 3y = 0

2x + 0 = 19 + 3y

2x = 19 + 3y

Divide each side by '2'.

x = 9.5 + 1.5y

Simplifying

x = 9.5 + 1.5y

Answer: 28 inches

Step by step explaination:  

First: You do inches over feet- In/Ft

Second: you do 4/60=x/420

Next: You do 60x=1680

                       60     60

Last- Your answer is 28 inches if you divide 1680 and 60.

Did this help you?

Answer:

[tex]\huge\boxed{\sf 28\ inches}[/tex]

Step-by-step explanation:

Given that:

Height of the building = 420 feet

According to the scale,

4 inches = 60 feet

×7                ×7         [Multiplying 7 to both sides]

28 inches = 420 feet

So, Height of scale model in inches is 28 inches.

[tex]\rule[225]{225}{2}[/tex]

Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°

Should be LM² = 23² + 20² - 2(23)(20) cos 119°

Lm² = 575.02 is incorrect

LM² = 1375.016 is correct

LM = 24.0 is incorrect

LM = 37 - 1 is correct

Answer: LM = 37 - 1

[tex]In\ \bigtriangleup KLM[/tex]

[tex]By\ using\ cosine\ gule:[/tex]

[tex]LM^2=LK^2+Km^2-2LK\times Km[/tex]

                                      [tex]\times cos(119\textdegree[/tex]

[tex]LM^2=23^2+20^2-2\times 23\times 20\times -0.4848[/tex]

[tex]LM^2=529+400+920\times 0.4848[/tex]

[tex]LM^2=929+446+016=1375.016[/tex]

[tex]LM=\sqrt{1375.016}=37.0812=37.1[/tex]

[tex]Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree[/tex]

[tex]Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree[/tex]

[tex]Lm^2=575.02\ is\ incosrect[/tex]

[tex]LM^2=1375.016\ is\ correct[/tex]

[tex]LM=24.0\ is\ correct[/tex]

[tex]Lm=37-1\ is\ correct[/tex]

[tex]Answer:LM=37-1[/tex]

I hope this helps you

:)

Answer:

The answer is 72.

Step-by-step explanation:

If x=-2 and y=-3 then what is x^3y^2.

Plug them into that equation.

(-2)^3 * (-3)^2

Expand the power.

(-2*-2*-2)*(-3*-3)

(-8)*(9)

72

Answer:

72

Step-by-step explanation:

Answer:Liquid assets

Step-by-step explanation: Can be valued as cash

When paying for higher education, scholarships and grants can be considered liquid assets. Hence, option A is correct.

Liquid assets are assets that can be quickly converted into cash. Although while your assets are valuable possessions that may be traded for cash, not all of them can be sold immediately away for cash or without suffering a loss. A common liquid asset is cash.

Liquid assets include cash on hand, cash stored in a bank, and possessions that can be quickly and readily converted into cash. Common liquid assets include shares, bonds, certificates of deposit, and stocks.

No, an automobile is not considered to be a liquid asset. A car is regarded as a tangible asset that depreciates over time, is more difficult to sell, and is more subject to market swings. It is also challenging to make a quick turn.

Thus, option A is correct.

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Answer:

$0.80

Step-by-step explanation:

We have to divide 4 by 5, because we are splitting the money equally among the 5 kids.

4 ÷ 5 = 0.8

Therefore, each kid gets $0.80

I hope this helps and please mark me as brainliest!

Answer:

0.80 cents

please make this answer brainliest If I helped you!

Step-by-step explanation:

each will get 0.80 cents because 0.80 times the 5 of them equally will equal 4 full $dollars

Answer:

The linear relationship between the length of someone's femur and their expected height..

Maybe something money-wise.

Jenny's subscription requires a 50$ desposit, as well as a monthly fee of 25$. How much will she have paid after x months?

A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Real life scenario for the given two variable equation : y = 50 + 25x

Thus, A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.

Learn more about Linear Equation from:

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Answer:

b. 283 cm3

Step-by-step explanation:

V = pi * r^2 * h

V = 3.14 * 3^2 * 10

V = 282.6  rounded to 283cm3

Answer:

yes it is The answer is C

Step-by-step explanation:

Answer:

what do you need help with? i will gladly help :>

Step-by-step explanation:

Ally~

Answer:

$21.33

Step-by-step explanation:

If the waiter earns $128 for 6 hours, divide 128 by 6.

21.33...

Answer:

Step-by-step explanation:

Answer:

thats 5:40 am in normal time

Step-by-step explanation:

Answer:

More students prefer PE.

Step-by-step explanation:

20 × 70% = 14

14 > 4

14 students prefer PE

4 prefer social studies

OR

4 ÷ 20 = 0.2

0.2 = 20%

70% > 20%

70% of the students prefer PE

20% of the students prefer social studies

Answer: 34.8

Step-by-step explanation:

Answer:

[tex](\frac{16}{3},- \frac{1}{9} )[/tex] or [tex]x=\frac{16}{3}, y=- \frac{1}{9}[/tex]

Step-by-step explanation:

Hello again!

We are given these two systems:

4x+1=5(x-3y)-6

3(x+6y)+4=9y+19

And we want to solve them for x and y.

First, let's do the distributive property to expand out what is in the parentheses.
4x+1=5(x-3y)-6 --> 4x+1=5x-15y-6

Now simplify 4x+1=5x-15y-6

Subtract 5x from both sides

4x+1=5x-15y-6

-5x   -5x

__________

-x+1=-15y-6

Now add 15y to both sides

-x+1=-15y-6

+15y  +15y

___________

-x+15y+1=-6

Subtract 1 from both sides

-x+15y=-7

Now for 3(x+6y)+4=9y+19:

3x + 18y + 4 = 9y + 19

Subtract 9y from both sides

3x + 9y + 4 = 19

Subtract 4 from both sides

3x + 9y = 15

Here is our system now:

-x+15y=-7

3x+9y=15

On 3x+9y=15, because all of the values are multiples of 3, we can actually divide it by 3.

3x+9y=15

÷3      ÷3

x + 3y = 5

So here it is again:

-x+15y=-7

x+3y=5

These equations can actually be solved using elimination! We will be adding these equations together to clear out a variable, solve for the uncleared variable, and then use the value of the uncleared variable to find the value of the cleared variable

So, add -x+15y=-7 and x+3y=5 together.

-x+15y=-7
+

x+3y=5

_____

18y=-2

Divide both sides by 18

y=[tex]-\frac{1}{9}[/tex]

Now substitute -1/9 as y into either -x+15y=7 or x+3y=5

Taking x+3y=5 for example,

x+3(-1/9)=5

multiply

x-1/3+5

Add 1/3 to both sides

x=5+1/3=16/3

So the answer is [tex]x=\frac{16}{3} , y=-\frac{1}{9}[/tex], or as a point, [tex](\frac{16}{3},- \frac{1}{9} )[/tex]

Hope this helps!

Answer:

The function is *growing* exponentially at a rate of *0.85%* every *year*

Step-by-step explanation:

Answer:

Soln:

5x+3y=7

(5x+3y)×5=7×5

25x+15y=35,eq.1

3x-5y=(-23)

(3x-5y)×3=-23×3

9x-15y=(-69)

Adding both equations,

25x+15y=35

9x-15y=(-69)

34x=(-34)

x=(-1)

5x+3y=7

(-5)+3y=7

3y=12

y=4

Answer:

The card removed was number '4'.

Step-by-step explanation:

9+8= 17

17+6= 23

23+1=24

You then must divide 24 by 4:

24/4 = 6

Therefore the card removed must have been 4.

I hope that helped and I hope it is correct lol.

Answer:

THAZ NOW NUMBU FO IDIYIT WEN YO POWPIN

Step-by-step explanation:

Answer:

P(pink) = 0.225

Step-by-step explanation:

We should ignore the spinner picture because it is a trick!

We need to use the data provided in the table

We need to find the probabilty of getting pink out of all the colors:

[tex]\frac{pink}{purple\ +\ pink\ +\ yellow\ +\ blue} = \frac{9}{12\ +\ 6\ +\ 9\ +\ 13}\\ = \frac{9}{40} = 0.225\ \ (22.5\%)[/tex]

We use the probability notation:

P(pink) = 0.225

Answer: 5,998,000

Step-by-step explanation:

2x10^3= 2,000

6x10^6= 6,000,000

In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.

In this case, the 10^x, the x can represent the number of zeros after our first value.

So, 6 + six zeros, or 6,000,000

and, 2 + 3 zeros, or 2,000

To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).

So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!

Hope this Helped!