Corresponding Angles are congruent.
Which angle corresponds with <2?

Answer:

m, c, and l

Step-by-step explanation:

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

[tex]H_{0}: p \geq 0.16[/tex]

Testing this hypothesis, means that the alternate hypothesis is:

[tex]H_{a}: p > 0.16[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.16 is tested at the null hypothesis:

This means that [tex]\mu = 0.16, \sigma = \sqrt{0.16*0.84}[/tex]

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that [tex]n = 200, X = \frac{24}{200} = 0.12[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}[/tex]

[tex]z = -1.54[/tex]

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Answer:

10

Step-by-step explanation:

Let's find f(2) first.

f(2) = 2 + 2 = 4

This means it would be f(g(4)).

Then let's find g(4).

g(4) = 4 + 4 = 8

Then, this means f(8).

f(8) = 8 + 2 = 10

Answer:

6x-3

youre welcome

6x-3

that is the answer I got it right

Answer:97.4

Step-by-step explanation:

use calculator

Lower: 69

Upper: 137

Mean:100

Standard deviation: 15

Answer:

1= 240. 2= 1800

girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!

Please Dont Get Mad If Its Wrong.

Answer:

21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.

Step-by-step explanation:

21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.

24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.

25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

Answer:

The answer is D,

a(n) = 4/5 + 1/6(n- 1)

just took the test :)

Step-by-step explanation:

The explicit formula for the arithmetic sequence is D, a(n) = 4/5 + 1/6(n- 1)

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

The explicit formula is given by:

[tex]T_n = a + (n-1)d[/tex]

Where a is the first term (4/5) and d is the common difference (the difference is any 2 terms).

Therefore, to find d:

29/30 - 4/5

29/30 - 24/30

d = 5/30

d = 1/6

Now putting them into the formula:

a(n) = 4/5 + 1/6(n- 1)

The last answer choice is right.

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

Answer:

995

Step-by-step explanation:

Because you would have to subtract 5 from 1000 which is 995, hope this helped!

Answer: 9/1

Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.

To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 9, the following combinations are favorable:

(3, 6), (4, 5), (5, 4), (6, 3)

So, there are 4 favorable outcomes.

The total number of possible outcomes is still 6 × 6 = 36.

The probability of rolling a sum of 9 is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 36

Simplifying the fraction, we get:

Probability = 1 / 9

Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.

Answer:

AB = 7.10

Step-by-step explanation:

Reference angle = 65°

Hypotenuse = AB = ?

Adjacent side length = BC = 3

Apply the trigonometric ratio CAH, to find AB.

Cos 65 = Adj/Hyp

Cos 65 = 3/AB

AB*Cos 65 = 3

AB = 3/Cos 65

AB = 7.09860475

AB = 7.10 (nearest hundredth)

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

5 /2

Decimal Form:

2.5

Mixed Number Form:

2  1/ 2

Answer:

There is half of a pie left. Bob need to share it with four friends how big are the pieces compared to the pie.

ANSWER:

1

__

10

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

432/24*9

162

Answer:

The circumference of a circle is the distance around the outside of the circle

Hope It Helps :)

Step-by-step explanation:

Answer:

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.

Circumference of a Circle Formula

The Circumference (or) perimeter of a circle = 2πR

where,

R is the radius of the circle

π is the mathematical constant with an approximate (up to two decimal points) value of 3.14

Again,

Pi (π) is a special mathematical constant; it is the ratio of circumference to diameter of any circle.

where C = π D

C is the circumference of the circle

D is the diameter of the circle

For example: If the radius of the circle is 4cm then find its circumference.

Given: Radius = 4cm

Circumference = 2πr

= 2 x 3.14 x 4

= 25.12 cm

Answer:

2

Step-by-step explanation:

Velocity/Time, or 8/4 equals 2.

Hope this helps!

Answer:

The ratio of approved and disapproved people in its simplest form is 3:1.

Step-by-step explanation:

Since 81 people passed and 27 failed their Functional Skills Level 2 exams, to write this as a ratio in its simplest form, the common greatest divisor of both numbers must be obtained:

27 is divisible by 1, 3, 9 and 27

81 is divisible by 1, 3, 9, 27 and 81

Therefore, the common greatest divisor of both numbers is 27. So, since 27/27 is equal to 1, and 81/27 is equal to 3, the ratio of approved and disapproved people in its simplest form is 3 :1.

The ratio in its simplest form is 1 : 3.

Ratio expresses the relationship between two numbers. It is the frequency with which a number is contained in another number. The sign used to represent ratio is ':'.

In order to express the given number of people that passed and failed the exam, we have to divide both numbers by the highest common factor until both numbers cannot be divided further to yield a whole number.

Common factor of 27 and 81 = 1, 3, 9, 27

Highest common factor = 27

Expressing in the simplest form = 1 : 3

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

the answer to the range should be 22 but i do not have the interquartile range :(

Step-by-step explanation:

Answer: x = 12

Step-by-step explanation:

subtract 8 on both sides (12-8=4)

now we have 1/3x = 4

multiply 3 on both sides (4 x 3 = 12)

now we have x = 12

Answer:

x=-5

Step-by-step explanation:

hope i helped

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

Answer:

y=4x+3

Step-by-step explanation:

y=mx+b

y-7=4(x-1)

y-7=4x-4

y=4x+7-4

y=4x+3

1. No correlation

Those things don't really relate to each other.

2. Positive correlation

The more you drive your car, the more you'll have to pay for gas.

3. Negative correlation

More people = less soda.

Answer:

170.87 or 10.875 is u round it then its 170.88

Answer: I could be wrong but it's probably 3.

Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)

Answer:

37°

Step-by-step explanation:

70°+73°+x°=180°

143°+x°=180°

x°=180°-143°

x°=37°

Answer:

Step-by-step explanation:

Hi there, check the image, For some reason they were telling it contained inappropriate words but I am not sure what are they referring to.

Answer:

x=12

y=20

Step-by-step explanation:

x+y=32

5x+7y=200

5x+5y=160

2y=40

y=20

x=12

Answer:

harmonica’s

Step-by-step explanation:

because it’s talking about multiple and it has apostrophe and an s

Answer:

Jose will have played the guitar for 9.1 hours during those 6 days.

Step-by-step explanation:

Given that this week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday, to determine, if Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

(0.75 + 1.5 + 2.3) x 2 = X

4.55 x 2 = X

9.10 = X

Therefore, Jose will have played the guitar for 9.1 hours during those 6 days.