Find the measure of b, given m∠A = 38 degrees, m∠B = 74 degrees and a = 31

For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 4 or greater than 8

fenix001 [56]

Answer:

the probability is 3/6 or 1/2

Step-by-step explanation:

7 0

3 years ago

How do I solve 3+k/14=4

Sedaia [141]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}$

Step-by-step explanation:

$\bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}$

$\tt{Step \: 1 \: }$ : Do cross multiplication

$\hookrightarrow{ \sf{3 + k = 4 \times 14}}$

$\tt{Step \: 2}$ : Multiply the numbers : 4 and 14

$\hookrightarrow{ \sf{3 + k = 56}}$

$\tt{Step \: 3 \: }$ Move 3 to right hand side and change it's sign

$\hookrightarrow{ \sf{k = 56 - 3}}$

$\tt{Step \: 4 \: }$ Subtract 3 from 56

$\hookrightarrow{ \sf{k = 53}}$

The value of k is 53

Hope I helped!

Best regards! :D

~TheAnimeGirl

8 0

2 years ago

Read 2 more answers

Identify the angle relationship. Then find solve the value

Licemer1 [7]

Answer:

Hi!

296+34+b=360

330+b=360

b=360-330

b=30°

God work.

8 0

1 year ago

Solve for X and Y: <br> Y=2+7x and -2x+6y=-28

Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

y=2+7x....... equation (1)
-2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

$- 2x + 6(2 + 7x) = - 28 \\$

simplify it

$- 2x + 12 + 42x = - 28 \\ 40x + 12 = - 28$

subtract 12 from both sides

$40x + 12 - 12 = - 28 - 12 \\ 40x = - 40$

divide both sides by 40

$\frac{40x}{40} = \frac{ - 40}{40} \\ x = - 1$

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

$y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y = - 5$

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0

1 year ago

Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi

stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*215 = 353.675$

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

$M = \frac{3.23 + 3.87}{2} = 3.55$

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0

3 years ago