solve for b.

1/7= 90/91 +b

Answer:

31.25

Step-by-step explanation:

The general form of a complete square would be (x + a)^2 + b

Given an equation of X^2 + 15X + 25 = 0,

the idea is to reduce it into the form if (X + C)^2

which can be expanded into X^2 + 2XC + C^2

In this case 15 will be our 2C So our c will be 7.5.

Substituting in these numbers,

We have X^2 + 15X + (7.5)^2 = 0

However our original equation has 25 for its C^2, thus

we need to add 31.25 in order to get (7.5)^2

FYI

The final completed form will be (X + 7.5)^2 - 31.25

Answer:

Step-by-step explanation:

The equation of a line in

point-slope form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

−

y

1

=

m

(

x

−

x

1

)

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−

where m represents the slope and

(

x

1

,

y

1

)

a point on the line

here

m

=

−

2

and

(

x

1

,

y

1

)

=

(

3

,

0

)

⇒

y

−

0

=

−

2

(

x

−

3

)

⇒

y

=

−

2

(

x

−

3

)

←

in point-slope form

Answer:

Step-by-step explanation:

Use the law of cosines:

Answer:

73.5

Step-by-step explanation:

3.5 times 3.5 = 12.25

Multiply 12.25 by 6 since there are 6 faces with the same surface area to get 73.5 as your answer.

Answer:

0.8664 = 86.64% probability that the goal will be met.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Assume that the goal at Motorola is for the average defect rate to vary no more than 1.5 standard deviations above or below the mean of 3. How like is it that the goal will be met?

It should be within 1.5 standard deviations of the mean, which means that the probability is the pvalue of Z = 1.5 subtracted by the pvalue of Z = -1.5.

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

0.8664 = 86.64% probability that the goal will be met.

Answer:

False

Step-by-step explanation:

Answer:

7 r hhfjgujksjzjxjxofhxjdd

Answer:

i dont get it the are no answer choices nor are there numbers lolololol

Step-by-step explanation:

Answer: 0.13

Step-by-step explanation:

Answer:

$32.09

Step-by-step explanation:

It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!

Answer:

Step-by-step explanation:

it the amount of space that can be occupied

Answer:

5.2

Step-by-step explanation:

a^2+b^2=c^2

a^2+3^2=6^2

a^2+9=36

-9. -9

-----------------

square root a^2 = square root 27

a= 5.1961524227

a = 5.2

Answer:

A

Step-by-step explanation:

говорить на английском

Answer:

Step-by-step explanation:

(h+2)+9

b-(6-4)

Answer:

7.14

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2 CDs - $9.98

5 CDs - [tex]\frac{5}{2}[/tex] × $9.98 = $24.95 (Option B)

Answer:

B.

Step-by-step explanation:

Cost of 2 CD = 9.98

cost of 1 CD = 9.98/2 =4.99

Cost of 5 CD = 4.99 × 5 = 24.95

Answer:

14$

Step-by-step explanation:

42 divided by 3 is 14

Answer:

x = 9

Step-by-step explanation:

The quadrilateral given above is a parallelogram.

Area of the quadrilateral = area of parallelogram = base × height

Area = 63 cm²

base = 7 cm

height = x

Plug in the values into the equation:

x × 7 = 63

7x = 63

7x/7 = 63/7

x = 9

Answer:

Step-by-step explanation:

1. 2

2. 3

3. 6

4. 2

5. 4

Answer:

round to 1

Step-by-step explanation:

it is closest to 1 so it wouldnt make sense to round to a number farther away

In general, nCr = n! / r! (n-r)!

Here, 7C3 = 7! / 3!(7-3)!

=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)

=7x6x5x4 / 4x3x2

=7x5x6x4 / 24

=35x24 / 24

=35

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

Hi there!

[tex]\large\boxed{42\pi \text{in or } 131.88 \text{in}}[/tex]

Use the equation C = dπ to calculate the circumference:

d = diameter

C = circumference

C = 42 · π  = 42π in, or 131.88 in (π ≈ 3.14)

Answer:

[tex]\boxed {\boxed {\sf 48 \ meters }}[/tex]

Step-by-step explanation:

The perimeter is the sum of the side lengths.

A rectangle has 4 sides: 2 lengths and 2 widths, so the perimeter formula is

[tex]p= 2l+2w[/tex]

The length is 20 meters and the width is 4 meters.

[tex]p= 2(20 \ m )+ 2(4 \ m )[/tex]

Multiply.

[tex]p= 40 \ m + 8 \ m[/tex]

Add.

[tex]p= 48 m[/tex]

The perimeter of the rectangle is 48 meters.

Answer:

$10.46

Step-by-step explanation:

Amount that can be won by Alexis ( xi ) = $0, $8 , $12

probability ( pi )

P( $0 ) = 13 / 52 = 1 / 4

P( $8 ) = 15 / 39   ( given that she wins this when an even number is drawn from three remaining decks )

P ( $12 ) = 1 - 15/39 = 24 / 39

a) Alexis expected winnings per game

= ∑ xi * pi = ( 0 * 1/4 ) +  ( 8 * 15/39 ) + ( 12 * 24 / 39 )

                = $0 + ( 120 / 39 ) + ( 288 / 39 )  = $10.46