Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?

Answer:

not a function

Step-by-step explanation:

using vertical line test

9514 1404 393

Answer:

  √29

Step-by-step explanation:

We can call the given points A(3, 4) and B(-2, 6).

The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.

  AB² = 2² + 5²

  AB² = 4 + 25 = 29

Taking the square root, we find the length of the line segment between the points to be ...

  AB = √29

Answer:

2249 / 540000

Step-by-step explanation:

Jobs arrival time = 8 jobs per hour

Service takes 3 minutes on average

Frame size = 5 second

capacity of each frame = 3 jobs

Determine the transition probability matrix for number of jobs in system

First step : find probability of job arrival

= 8 / ( 5 * 3600)

=  8 / 18000 =  1 / 2250

next : determine probability of service

= ( 3 * 5 )/ 3600

= 15 / 3600 = 1/240

Finally the transition probability matrix ( p10 )= { 1, 0}

=  probability of service(1 - probability of arrival)

 = 1/ 240 * ( 1 - 1 / 2250 )

= 1 / 240 * ( 2249 / 2250 )

= 2249 / 540000

Answer:

Volume of beach ball = 4176.2 inch³ (Approx.)

Step-by-step explanation:

Given:

Diameter of beach ball = 20 inches

Find:

Volume of beach ball

Computation:

Radius of beach ball = Diameter / 2

Radius of beach ball = 20 / 2

Radius of beach ball = 10 inches

We know that beach ball is a sphere shape

So,

Volume of beach ball = Volume of sphere

Volume of sphere = [4/3][π][r³]

Volume of beach ball = [4/3][π][r³]

Volume of beach ball = [4/3][22/7][10³]

Volume of beach ball = [1.33][3.14][1,000]

Volume of beach ball = 4176.2 inch³ (Approx.)

Answer:

The answer is C

Step-by-step explanation:

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases  and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c  =  ( p∧o + p∧n ) / (nO + nN )  

p∧o = 15 %      p∧o =  0,15         nO = 150

p∧o *  nO = 0,15 *150          p∧o *  nO = 22,5

p∧n  = 8 %      p∧n  = 0,08     nN = 200

p∧n*nN  = 0,08 * 200     p∧n*nN  = 16

Both  p∧n*nN  and   p∧o *  nO    are bigger than 5

Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

Answer:

the time taken for the ball to hit the ground is 9.4s

Answer:

the answer is 45

Step-by-step explanation:

(180/4)=45

Answer:

Two independent sample t test

Step-by-step explanation:

The research described describes the statistics of two different samples which are also independent,

Sample 1 :

Sample size, n1 = 16

Mean, xbar = 4.75

Standard deviation s2 = 2.8

Sample 1 :

Sample size, n1 = 15

Mean, xbar = 3.93

Standard deviation s2 = 2.4

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

The t statistic :

(xbar1 - xbar 2) ÷ sqrt[(s1²/n1 + s2²/n2)

From on the test statistic, obtain the p value and compare with Given α - value to make and conclude in a decision.

Answer:

191.159619167

Step-by-step explanation:

Answer:

1) 19/25 likely

2)5/25 unlikely

3) 2/25 = 8%

I have to go so I cant finish 4 and 5 but I hope this helped

Step-by-step explanation:

1) this is based just on the results so we don't have to do any probability tree or anything. there are 25 groups overall and 19 of those 25 groups contain at least one senior. this is 76% and is over 2 thirds so it is likely

2) again this is based just on the results so we don't have to do any probability tree or anything. there are 25 groups overall and 5 of those 25 groups contain at least 2 freshmen. this is 20% and is under 1 third so it is unlikely

3)again this is based just on the results so we don't have to do any probability tree or anything. there are 25 groups overall and 2 of those 25 groups contain four students from the same grade level. this is 8% and so is  unlikely.

Answer:

[tex]\frac{7}{2}g^2-\frac{4}{5} g+\frac{15}{4}[/tex]

Answer is A

hope this helps

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that [tex]\mu = 39725, \sigma = 7320[/tex]

Sample of 125

This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}}[/tex]

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Answer:

Step-by-step explanation:

Given,

Volume = 5600 sq.ft

Length = 35 ft

Width = 8 ft

Therefore,

By the problem,

[tex]height = \frac{volume}{length \times width} [/tex]

[tex] = > h = \frac{5600}{35 \times 8} ft[/tex]

=> h = 20 ft (Ans)

Answer:

[tex]12\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i took it

Answer:

d

Step-by-step explanation:

my stats teacher went over it

Answer:

m(arc FE) = 166°

Step-by-step explanation:

By theorem of intersecting chords and tangent of a circle,

Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.

m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

m(arc FE) = 166°

Q) 4 - 16 = ?

→ 4 - 16

→ [ -12 ]

The answer is -12.

Answer:

The building would be about 77 feet!

Step-by-step explanation:

Brainliest Please!

Answer:

X=100

Step-by-step explanation:

180-57= 123

123-23=100

The correct answer is option c.

How graph is analyzed?

If we have function, then first we will find ordered pairs then will draw the graph and then will analyze the changes in the graph.

Compute the y values of the function at the given x values by substituting all the x values into the given function individually and make a table like Fig 1.

We will draw all the points of the table on the graph and will join them.

From the graph, it is clearly visible that the curve is decreasing while moving from left to right.

Therefore, the correct option is c.

Learn more:

https://brainly.com/question/20598664

#SPJ2

Answer:

c. decreases from left to right

Step-by-step explanation:

Correct on edge

Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0

HOPE THIS HELPS

when I did this it was C for me

Answer:

n=-13/4 because you subtract 3/4 from -5/2

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

did it on my test edge

Answer:

D

Step-by-step explanation:

Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.

Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.

Answer:

480 units ^3

Step-by-step explanation:

it was on the key but im not sure how to solve it