Use the diagram below to solve. The m∠ 1 = 29x + 12 and the m∠ 5 = 15x - 8. All lines that appear parallel are parallel.

Answer:

12

Step-by-step explanation:

300 multiplied by 0.04 (4%) = 12

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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:

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.

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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=52 Y=50 Z=45

Step-by-step explanation:

hope this can help you

Answer:

x = 1

y = 46

Step-by-step explanation:

assuming AB = DE and angle F = angle C,

set 4x - 6 = 10", solve for x...

4x = 4, x = 1

set 14x + y = 60°, substitute 1 for x then solve for y...

14 + y = 60°, y = 46

Answer

B 29

Step-by-step explanation:

Edge 2020

Answer:

B. 29 degrees

Step-by-step explanation:

Answer:

9 1/3 or 28/3

Step-by-step explanation:

Answer:

A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

Step-by-step explanation:

Find the diagram attached.

Slope is the change in y coordinates tom that of x coordinate of a line.

Slope = Δy/Δx

Slope = y2-y1/x2-x1

For ΔABC,

A(-3, 6) and C = (-1, 3)

Slope = 3-6/-1-(-3)

Slope = -3/-1+3

Slope = -3/2

Slope of line AC is -3/2

For ΔCDE,

C = (-1, 3) and E = (3, -3)

Slope = -3-3/3-1

Slope = -6/2

Slope = -3

Slope of line CE is -3

From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)

-3/2 = 1/2 (-3)

-3/2 = -3/2

Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

Answer:

D

Step-by-step explanation:

Hope this helped

Answer:

000

Step-by-step explanation:

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: I'd go with Option (C.<3 AND 4, <6 AND 4)

Answer: The answer is D

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: the answer is y=6x-3

Answer:

89/3x

Step-by-step explanation:

Use Marhway for these types of problems

Answer:

The absolute value makes the number inside it, a positive

Step-by-step explanation:

Step-by-step explanation:

Hope this helps, cheers!!!

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

Answer:

4q+20

Step-by-step explanation:

1. You apply distributive property.

8(q+4) - 2(2q+6)

8q+32 -4q-12

2. Combine like terms

4q+20

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...

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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:

A"(2,11) B"(0,5) C" (4,3)

Step-by-step explanation:

What are the numbers so I can do the problem.

Answer:

Number C would be the irrational number

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:

2

Step-by-step explanation:

did it on khan

The value of x when f(x) = 0 in the graphed function is: C. -2, 1, or 3 only.

A function relates an input value (x-value) to a corresponding output value (y-value).

In the graphed function, f(x) = 0 means the value of y is 0, at this point, the values of x on the x-axis that corresponds to this y-value are -2, 1, or 3.

Therefore, if f(x) - 0, x would be: C. -2, 1, or 3 only.

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