Select the correct answer.
Solve the exponential equation for x.

The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

m∠4=74° and m∠3=43°

m∠4 + m∠2 = 180

74 + m∠2 = 180

m∠2 = 106 degree

m∠3 + m∠2 + m∠1 = 180  (sum of angles in triangle is 180 degree)

43 + 106 + m∠1 = 180

m∠1 = 31 degree

Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.

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Point 2 is 106°

Point 1 is 31°

Bit by bit clarification:

every triangle's total angle is 180

first you 180 - 74 = 106 for angle 2

angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do  180 - 149 = 31 will give you your angle one

hope it help mark brainliset please

Answer:

(x − 4)(x − 12)

Step-by-step explanation:

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:

x² - 16x + 48 = x² - 4x - 12x + 48

= (x² - 4x) + (-12x + 48)

= x(x - 4) - 12(x - 4)

= (x - 4)(x - 12)

Therefore,

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).

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Answer:

yes, cuz the rational numbers is said to be 0 or real numbers.

Answer:

1/5+8/10=1

Step-by-step explanation:

1/5 = 2/10

Answer:

second option.

Step-by-step explanation:

Answer:

Adjacent angles

Step-by-step explanation:

Answer:

a) The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).

b) The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).

c) Due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.

d) Yes, because 0.25 is inside both intervals.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

117 of 484 new engineering graduates were planning to continue studying for an advanced degree.

This means that [tex]n = 484, \pi = \frac{117}{484} = 0.2417[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2097[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2737[/tex]

The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).

Question b:

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2036[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2798[/tex]

The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).

(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.

The margin of error of a confidence interval of proportions is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

This means that, due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.

(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.

Yes, because 0.25 is inside both intervals.

Answer:

Option A 64/27 cm³

Step-by-step explanation:

Side of each cube=1/3 cm

Volume of a cube=side³=(1/3)³=1/27 cm³

Total no. of cubes in the prism=4*4*4=64 cubes

Volume of prism=Volume of 1 cube*Total no. of cubes

=(1/27)*64

=64/27 cm³

Answer:

well you see if u wanrt to

a

Answer:

Definitely not "feels"!

Step-by-step explanation:

I would go with " Always" aka "A"

Answer:

I think C, never irrational

Step-by-step explanation:

I feel you, link scams are horrible.

If this answer helped, please give brainliest! It would help a lot if you gave it :D

Answer: The vertex will have the same x coordinate as the focus

and be at the midpoint between focus and directrix.  The

midpoint of (4, 4) and (4, -2) is:  ((4+4)/2, (4-2)/2) = (4, 1)

Answer:

4 im not sure

Step-by-step explanation:

Answer:

0.7558 = 75.58% probability this sale has occurred in Dallas

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Belt sold

Event B: Sold in Dallas.

Probability of belt being sold:

50% of 65%(made in Dallas)

30% of 100 - 65 = 35%(made in Phoenix). So

[tex]P(A) = 0.5*0.65 + 0.3*0.35 = 0.43[/tex]

Sold in Dallas:

50% of 65%. So

[tex]P(A \cap B) = 0.5*0.65 = 0.325[/tex]

What is the probability this sale has occurred in Dallas?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.325}{0.43} = 0.7558[/tex]

0.7558 = 75.58% probability this sale has occurred in Dallas

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

Hope this helps

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

Answer:

8

Step-by-step explanation:

Since this is a rectangle, the opposite sides are congruent.

So the lengths of DG and EF are equal

3x + 5 = 29

3x = 29 - 5

3x = 24

x = 24/3

x = 8

Answer:

a) shape of distribution: symmetric/unimodal, clusters: none, gaps: none, peaks: 20, outliers: none.

b) The center and spread of distribution is based solely on the median of the data because it is based on a data point that is actually included in the population or sample. The median in this data is 20 because it is between the first and third quartile.

Answer:

Rasheed has sent 66 massages , Hassan has sent 22 , Shima has sent 29

Answer:

b=3

Step-by-step explanation:

21 divded by 7=3 since area is Lenght times Width

C is the answer i just did this answer and get it correct

Answer:

c. x= 28°, y= 76°

Step-by-step explanation:

y= 180-104=76°

104= x+y (property of triangle, exterior angles is equal to the sum of opposite interior angles)

x=104-76= 28°

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

The answer is 16x+20y for the above expression

Answer:

8×p≈c

Step-by-step explanation:

Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.

Answer:

The answer to 5 is 3 and the answer to 6 is -2

Step-by-step explanation:

-8=2x-14

add 14 to each side

6=2x

divide by 2

3=x

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

11x+13=-9

subtract 13 from both sides

11x=-22

divide each side by 11

x=-2

Answer:

5.x=3

6.x=-2

Step-by-step explanation:

you're welcome