Solve for a in the proportion.

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]

[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]

[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]

[tex]f( - 2) = 32 + 28 - 10[/tex]

[tex]f( - 2) = 60 - 10[/tex]

[tex]f( - 2) = 50[/tex]

_________________________________

And we're done...

♥️♥️♥️♥️♥️

Answer:

(a) N (16, 2.5²)

(b) 0.241

(c) Low: 15.4 years

    High: 16.6 years

Step-by-step explanation:

The random variable X is defined as the age at death of a randomly selected indoor cat.

(a)

The distribution of X is:

[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]

(b)

Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:

[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]

                            [tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]

Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.

(c)

Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]

The corresponding value of z is, 0.25.

Compute the value of x₁ and x₂ as follows:

[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex]                [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]

Low: 15.4 years

High: 16.6 years

Answer:

here it is

Step-by-step explanation:

Simply divide 5 INTO 60.20 to get $ per hour.

Another way of saying this is divide $60.20 BY 5.

Answer:

y = -3 when x = 4

Step-by-step explanation:

2x-4y = 20

x = 4

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

Answer:

89/3x

Step-by-step explanation:

Use Marhway for these types of problems

Answer:

-5,3,11

Plus 8 or subtract 8

Step-by-step explanation:

-13 + 8= -5

-5+8= 3

3+8=11

11+8=19

or

19-8=11

11-8=3

3-8=-5

-5-8= -13

Hope that helps :)

Answer:

2

Step-by-step explanation:

did it on khan

Answer:

8:9

Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

I hope this helps plz tell me if its wrong so i can fix it :)

Answer:

There are so many ways! Do want me to help?

Step-by-step explanation:

Answer:

P (Success) = 1/8

P (Failure) = 7/8

Step-by-step explanation:

It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

Only one section is considered as success and the remaining seven are failures.

So, the probability of a success is,

P (Success) = 1/8

And the probability of a failure is,

P (Failure) = 7/8

Answer:

a

Step-by-step explanation:

Answer:

a. The equation is y = 19 x

b. The height of 13 DVD cases is 247 mm

Step-by-step explanation:

- A proportional relationship is about two quantities vary directly with

each other

- Ex: If y proportion to x, then y is varies directly with x

 That means y ∝ x ⇒ y = k x, where k is the constant of variation

- The height of a stack of DVD case is proportional to the number of

 case in the stack

- That means the height of DVD cases varies with the number of cases

- The height of 6 DVD case is 114 mm

a.

∵ The number of cases = x

∵ The height of the cases = y

∴ y ∝ x

∴ y = k x

- To find k lets use the first information above

∵ y = 114 mm when x = 6

- Substitute these values in the equation above to find k

∵ 114 = 6 k

- Divide both sides by 6

∴ k = 19

- Substitute the value of k in the equation above

∴ y = 19 x

* The equation is y = 19 x

b.

- We need to find the height of 13 DVD cases

∵ y = 19 x

∵ x = 13

- Substitute the value of x in the equation

∴ y = 19 × 13

∴ y = 247 mm

* The height of 13 DVD cases is 247 mm

The height will be 143 mm for a stack of 13 DVD cases.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The overall height of the 8 cases stacked on top of each other is 88 mm.

Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):

⇒ 88/ 8 = 13

⇒ 88 ÷ 8 = 13

Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:

11 × 13= 143

Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.

To learn more about the constant of proportionality here:

https://brainly.com/question/17302514

#SPJ2

The question seems to be incomplete the correct question would be:

The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

The height of the 8 cases stacked on top of each other is 88 mm.

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

[tex]n=5+2+10+3\\n=20[/tex]

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

[tex]P=\dfrac{3}{20}[/tex]

The probability that Fiona pulls out a marble that is not white is,

[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ2

Answer:

A. 25, 22

B. machine 1

How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2

Step-by-step explanation:

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.

The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -

y = [(100 - 50)/(4 - 2)]x

y = 25x

AND

y = 22x describes the rate at which Machine 2 can fill cartons.

So, we can write -

Machine 1's unit rate = 25

Machine 2's unit rate = 22

It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

Therefore,

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

[Refer to image for complete question]

Answer:

B.

Step-by-step explanation:

The answer is B since it cost $3 for 5, it would be $6 or double for 10.

Answer:

B. $6

Step-by-step explanation:

3 divided by 5 = 0.6

0.6 multiplied by 10 = $6

(I might be wrong. Sorry if I am. Don't get mad at me)

Hope I helped :)

Please consider Brainliest :)

Answer:

4 divided by 25 is 0.16

Step-by-step explanation:

Start by setting it up with the divisor 4 on the left side and the dividend 25 on the right side.

The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

Move down the 2nd digit of the dividend (5)

The divisor (4) goes into the bottom number (25), 6 time(s). Therefore, put 6 on top:

Multiply the divisor by the result in the previous step (4 x 6 = 24) and write that answer at the bottom:

Subtract the result in the previous step from the number written above it. (25 - 24 = 1) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 25 divided by 4 calculated using Long Division is:

6

1 Remainder

Answer:

in scientific notation it is − 32x+4.00054

Step-by-step explanation:

thats all i know

Answer:

The absolute value makes the number inside it, a positive

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

Answer:

There are 50 full-time and 25 part-time employees in the company.

Step-by-step explanation:

Total number of employee in the company = 75

Employee's records to be audited = 50

Number of audited record = 75 - 50

                                            = 25

Records of employees to be audited = 50

Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2

                                                  = 50

The number of part-time employee's in the company = 75 - 50

                                                  = 25

There are 50 full-time and 25 part-time employees in the company.

Answer:

[tex]\huge\boxed{3 = 57 \textdegree}[/tex]

[tex]\huge\boxed{4 = 33 \textdegree}[/tex]

Step-by-step explanation:

When two angles are complementary, their angle lengths add up to 90°.

Therefore, we can make the equation

[tex](x+24) + (x) = 90[/tex]

Now we can solve for x.

Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.

We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.

[tex]33+24\\\\57[/tex]

Hope this helped!

Answer:

3/4

Step-by-step explanation:

If you divide both the numerator and the denominator by 3 you'll get 3 over 4.

Answer:

I may be wrong but I beileve its A(-20)

Step-by-step explanation:

Answer: Hey there The answer is simple is -20

Step-by-step explanation:

(2)(12)/-3-12=-20

hope this helps

Answer:

x = - 1

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] x + 3 - 2x = - [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{2}[/tex] x + 5

Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions

3x + 12 - 8x = - 1 + 2x + 20 ( simplify both sides )

- 5x + 12 = 2x + 19 ( subtract 2x from both sides )

- 7x + 12 = 19 ( subtract 12 from both sides )

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Answer:

x=+17

Step-by-step explanation:

6x+7=8x-27

We move all terms to the left:

6x+7-(8x-27)=0

We get rid of parentheses

6x-8x+27+7=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

Answer:

160

Step-by-step explanation:

... ...... ..

....i

Answer  It should be 40%

Answer:

One pair of jeans costed 18.64

Step-by-step explanation:

37.28 divided by 2.