1. Write the following statements in the from of equations.
a. The sum of five times p and 8 is 23
​

Answer:

-1

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

Using the points on the line  (-2,0) and (0,-2)

m = ( -2-0)/(0- -2)

   = (-2-0)/(0+2)

   -2/2

   -1

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer:

C

Step-by-step explanation:

The line would be dotted since it's > not ≥. You would shade above the line since it's greater than, not less than.

You don't need to graph the line to choose the correct answer, but if you would like to:

y - 3 > 2x + 2

y > 2x + 5

Answer:

I want to say the building is most likely 76 ft tall

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Answer:

Ms. Brown needs 0.18 more cents to afford the pounds of granola and cranberry mix.

Step-by-step explanation:

Ms. Brown = $10 limit

Purchases 1.75 lbs of granola and 2.9 lbs of cranberry mix

Cranberry per lb = $3.25

Granola per lb = $2.19

1.75 x 2.19 = 3.8325 (Cost of granola)

2.9 x 2.19 = 6.351 (Cost of cranberry)

3.8325 + 6.351 = 10.1835 (Total cost of both cranberry and granola)

10.1835 rounded to nearest cent = 10.18

10 < 10.18

Ms. Brown doesn't have enough money to buy the pounds of granola and cranberry mix.

Answer:

x=5-y

Step-by-step explanation:

Answer:

scale factor is 1:4

Step-by-step explanation:

the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

Answer:

x+27

Step-by-step explanation:

Distribute

4(+3)+3(5−)

4+12+3(5−)

Rearrange terms

4x+12+3(5−x)

4+12+3(−+5)

Distribute

4x+12+3(−x+5)

4+12−3+15

Add the numbers

4x+12−3x+15

4+27−3

Combine like terms

4x+27−3x

1+27

Multiply by 1

1x+27

+27

Answer:

B. 8

Step-by-step explanation:

Point-slope form:

[tex]y-y1=m(x-x1)[/tex]

m is the slope, and that is 8 in this equation.

Answer:

1-a) 78+x+16+x+24=180°

118+2x=180

2x=62

so x=31

Step-by-step explanation:

thats a

Answer:

1a) x = 31

1b) x = 12

2) angle A = 60 degrees

3) x = 40 degrees

Step-by-step explanation:

Answer:

Your answer is All of the Above.

Hope this helps!

Step-by-step explanation:

OA is the radius

OC is the radius

and OB is the radius

( They are all half length of the circle )

Answer:

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

Answer:

19 houses

Step-by-step explanation:

90*(2/5)=36

90-36=54

54*(2/3)=37

54-37=19

Answer:

£4.9

Step-by-step explanation:

1.40 x 3 = 4.2

1.40/2=.7

4.2+.7= £4.9

ok done. Thank to me :>

Answer:

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

Answer:

1. GCF is 15.

2. 8 servings

Step-by-step explanation:

1. Continuous Division              

            3     15         30

            5      5          10

                     1           2

Multiply the factors in the left side (3 and 5)

= 15

Greatest Common Factor is 15

2. Continuous Division

              2      16         24

              2      8           12

              2      4            6

                      2            3

Multiply the factors in the left side (2,2 and 2)

= 8

Greatest number of servings is 8

Answer:

C

Step-by-step explanation:

put x^5=u

Answer:

[tex]u=x^{5}[/tex]

Step-by-step explanation:

[tex]x^{10} - 13x^{5} + 12 = 0\\\\(x^{5})^{2} - 13x^{5} + 12 = 0\\\\u^{2}-13u+12=0[/tex]

Answer:

-6, -5

-3, -3

0, -1

3, 1

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

1 - 6x = - 17 ( subtract 1 from both sides )

- 6x = - 18 ( divide both sides by - 6 )

x = 3

Answer:

x=54

Step-by-step explanation:

2x+13=3x-41

   -13       -13

__________

2x=3x-54

-3x  -3x

__________

-1x=-54

__   __

-1      -1

X=54

I Hope this helped <3

Answer:

x = 54

Step-by-step explanation:

If m||n, these two angles will be equal in degrees

3x - 41 = 2x + 13

3x - 2x = 13 + 41

x = 54

Answer:

0, 11/6 , 8/7

Step-by-step explanation:

Answer:

[tex]0, \frac{11}6, \frac87[/tex]

Step-by-step explanation:

Good thing it's already written as a product, which spares us the most complicated (and boring) part.

We know that a product is zero if it's 0 any of the factors.

From the first one [tex]x^2=0 \rightarrow x=0[/tex]

from the second factor [tex]6x-11=0 \rightarrow x=\frac{11}6[/tex]

and finally, for the third one, [tex]7x-8 =0 \rightarrow x = \frac87[/tex]

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%