Triangle ABC is shown below.
What is the cosine of angle B?

Answer:

84.13% of the shipment is defective

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed with mean 39.3 and standard deviation 0.2

This means that [tex]\mu = 39.3, \sigma = 0.2[/tex]

What percentage of the shipment is defective

Less than 39.5 or greater than 40.5.

Less than 39.5:

This is the pvalue of Z when X = 39.5. So

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

[tex]Z = \frac{39.5 - 39.3}{0.2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

Greater than 40.5:

1 subtracted by the pvalue of Z when X = 40.5. So

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

[tex]Z = \frac{40.5 - 39.3}{0.2}[/tex]

[tex]Z = 6[/tex]

[tex]Z = 6[/tex] has a pvalue of 1

1 - 1 = 0

Total:

0.8413 + 0 = 0.8413

84.13% of the shipment is defective

Answer:

C i think but I could be wrong

Step-by-step explanation:

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

Answer:

1/5 because 20% is equivalent to 20/100

Step-by-step explanation:

or 0.2 Thats what I got- sorry if I am wrong.

Answer: 0.8

Step-by-step explanation:

Decreased by 20percent is multiplying by 80 percent, or 0.8

Answer:

c = 14.9 cm

Step-by-step explanation:

Applying the Law of Sines, we would have the following:

c/sin(C) = b/sin(B)

c = ??

C = 180 - (150 + 12) = 18°

b = 10 cm

B = 12°

c/sin(18) = 10/sin(12)

Multiply both sides by sin(18)

c = (10*sin(18))/sin(12)

c = 14.9 cm (nearest tenth)

Answer:

17 hours is the total of miles he walked

Answer:

Step-by-step explanation:

rn = 6 miles in 2 hrs

we want 9 hours

Per hour it will be 3 miles

3 miles = 1 hr

6 miles = 2 hrs

9 miles = 3 hrs

12 miles = 4 hrs

15 miles = 5 hrs

18 miles = 6 hrs

21 miles = 7 hrs

24 miles = 8 hrs

27 miles = 9 hrs

All you basically had to do is multiply the 9 hours with 3 since that's how much you get per mile, and then you get your total of 27 miles

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

3(y + 5)

Step-by-step explanation:

Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.

Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.

So that:

3y + 15= 3([tex]\frac{3y}{3}[/tex] + [tex]\frac{15}{3}[/tex])

           = 3(y + 5)

The outcome of the process is 3(y + 5).

Answer:

angle a is 110

angle B is 110

angle C is 70

Answer:

48 ft²

Step-by-step explanation:

The question is only asking for the rectangular part, so you would do 12 • 4 = 48.

Answer: $20.24

Step-by-step explanation: add 3.75+3.99+12.50

Answer:

$43,618

Step-by-step explanation:

Find the price of the car after this price increase.  Multiplying $38,600 by 1 yields the original price, whereas multiplying it by 0.13 yields the price increase.  Thus, we can answer this question by multiplying $38,600 by 1.13:

$38,600*1.13 = $43.618.  This is the price for which the dealer sells the car.

Answer:

60 grams

Step-by-step explanation:

120 years / half-life of 30 years = it will grow half the size 4 times

960 * 1/2 ^ 4 = 960 * 1/2  * 1/2 * 1/2 * 1/2 = 60 grams

Answer:

a

Step-by-step explanation:

Answer:

Complementary

Step-by-step explanation:

You are correct.

Answer:

Complementary

Step-by-step explanation:

b + a = 90 degrees.

complementary is 2 angles that add up to 90 degrees

Answer: 11 years

Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11

Answer: it will take 11 years

Answer:

pretty sure its d

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

Based on what I know that the total of degrees has to be 360°. So, two sides of the rhombus have to have two acute angles and two obtuse angles. So, the  Image shows that the 63° is an acute angle. So, multiply 63 by 2 which is 126. Then subtract 126 from 360 which is 234. Then, divide 234 by 2 which is 117. Lastly, add 63 with 63 and 117 with 117 which is 360.

Hopefully, you understand.

C, 80 square feet.

Have a nice day!

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

it would be A

Step-by-step explanation:

I'm good at math

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

Answer:

I posted a picture on the graph and how the two point intercept eachother

Step-by-step explanation:

Hope this Helped

Answer:

1.67 mph

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

Answer:

The second one is right

The third one is wrong.

Step-by-step explanation:

A 140

its obtuse. Hope this helps :)

Answer:0.0156250

Step-by-step explanation: (x)n = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/64