Please answer this problem 3x−9<6

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.

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

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:

Step-by-step explanation:

(h+2)+9

b-(6-4)

Answer:

7 r hhfjgujksjzjxjxofhxjdd

Answer: 0.13

Step-by-step explanation:

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:

n=-3

Step-by-step explanation:

divide both sides

-5n/(-5)=15/(-5)

divide both sides

n=15/(-5)

n=-3

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.

Answer:

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

Step-by-step explanation:

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

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.

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:

Step-by-step explanation:

Use the law of cosines:

Answer:

hii

Step-by-step explanation:

3(x-2)-2x+3=-12

3 times x = 3x

3 times -2 = -6

3x-6-2x+3=-12

3x + 2x = 5x

-6 + 3 =-3

i don't know the rest I'm sorry

Answer:

4,000 to the tenth power is 1.045876E36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

говорить на английском

Answer:

Step-by-step explanation:

1. 2

2. 3

3. 6

4. 2

5. 4

Answer:

0.025

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:

round to 1

Step-by-step explanation:

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

Answer:

14$

Step-by-step explanation:

42 divided by 3 is 14

Answer:

False

Step-by-step explanation:

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

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:

7.14

Step-by-step explanation: