Functions:

In image 1: Evaluate the functions

In image 2: Given the functions, find their inverse, if possible and if not possible, redefine Domain or Range

Answer:

10 is the right answer

Step-by-step explanation:

please mark me as brainliest answer

Answer:

0.5398

Step-by-step explanation:

Given that :

Total possible numbers vice presidents invited = 7

Required number of vice presidents invited = 1

Probability that a certain vice president is invited ;

P(a certain V. P is invited) = required outcome / Total possible outcomes

P(a certain V. P is invited) = 1/ 7

P(1 of the V. P's hasn't been invited to attend any of the last 4 games)

Then ; it means any of the remaining (7 - 1) = 6 has been invited ;

Hence,

P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4

Likelihood that it could be due to chance :

(6/7)^4 = 0.5397750

= 0.5398

Answer:

9.364 is the expected number of points.

we can approximate this to 10 points if we want a whole number

Step-by-step explanation:

We have these variables:

[0,5,10,15]

P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)

P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)

P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)

P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)

Z = y/10

Therefore

P(x= 0) = 2(y>20)

= 2p(z>2) = 2(1-p<=2)

= 2(1-0.9772)

= 0.0456

P(x= 5)

= 2p(10<=y<=20)

= 2p(1<=z<=2)

= 2(0.9772-0.8413)

= 0.2718

P(x= 10)

= 2p(3<=y<=10)

= 2p(0.3<=z<=1)

= 2(0.8413-0.6179)

= 0.4468

P(x = 15)

= P(0.6179-0.3821)

= 0.2358

To get expected value of Y

0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)

= 1.359 + 4.468 + 3.537

= 9.364

E[Y] = 9.364

3, and apparently its "too short of an answer on this website"

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Representing their home runs in z-value forms.

Where

= Meanóx = Standard deviation

To find the home run for Hugo,

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

Read more about standard deviation here:

https://brainly.com/question/12402189

Answer:

Group one has the larger median

Step-by-step explanation:

Group One:

By taking off 8 on both ends we see that the median is 53 for group one.

33, 35, 40, 41, 43, 46, 48, 49, 53, 54, 55, 58, 58, 58, 62, 62, 67

Group two:

By taking off 8 on each end as well we get 47 and 49.

35, 38, 40, 41, 42, 43, 47, 47, 47, 49, 50, 50, 53, 54, 57, 61, 66, 69

we then take the average of the two numbers

47 + 49 = 96

96 / 2 = 48

Answer:

A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow

Step-by-step explanation:

The researcher found out that;

MBlue = 5.6 and MYellow = 3.42

This means that more customers found lemon snacks cake tinted blue as sweeter since Mblue > Myellow.

Null hypothesis is that lemon cake with blue coloring will make the cake-eating experience sweeter and more enjoyable.

Thus; since Mblue > Mellow, we will Fail to reject the null hypothesis and conclude that the customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

Answer:

x = 37.5

Step-by-step explanation:

The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees.  That gives us the number 105°

Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).

That gives us:

(180 / 105) / 2

= 75 / 2

= 37.5

Answer:

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Step-by-step explanation:

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.

Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.

This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]

Which value separates the top 2% of the weekly discarded paper weights in this area?

This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

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

[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]

[tex]X - 7.95 = 2.054*3.12[/tex]

[tex]X = 14.36[/tex]

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Answer:

a) [tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]

b) The 95th percentile is 4.4935 hours.

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 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.

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.

The reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours.

This means that [tex]\mu = 4, \sigma = 1.2[/tex]

16 reviews.

This means that [tex]n = 16, s = \frac{1.2}{\sqrt{16}} = 0.3[/tex]

A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.

This is the pvalue of Z when X = 4.25 subtracted by the pvalue of Z when X = 3.5. So

X = 4.25

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

By the Central Limit Theorem

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

[tex]Z = \frac{4.25 - 4}{0.3}[/tex]

[tex]Z = 0.83[/tex]

[tex]Z = 0.83[/tex] has a pvalue of 0.7967

X = 3.5

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

[tex]Z = \frac{3.5 - 4}{0.3}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a pvalue of 0.0475

0.7967 - 0.0475 = 0.7492

So

[tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]

C. Find the 95th percentile for the mean time to complete one month's reviews.

This is X when Z has a pvalue of 0.95, so X when Z = 1.645.

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

[tex]1.645 = \frac{X - 4}{0.3}[/tex]

[tex]X - 4 = 0.3*1.645[/tex]

[tex]X = 4.4935[/tex]

The 95th percentile is 4.4935 hours.

Answer:

I do not know

Step-by-step explanation:

Answer: F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

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.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that [tex]\mu = 650, \sigma = 20[/tex]

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

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

[tex]Z = \frac{620 - 650}{20}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

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

[tex]Z = \frac{700 - 650}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Answer:

4.8

Step-by-step explanation:

6.4×1/4=1.6

6.4-1.6=4.8

Answer:

The third angle measures 66°

Step-by-step explanation:

If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.

57+57=114

180-114=66

We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.

57+57+66=180

We were correct! Now we have the measurements of all three of the triangle's angles. Great job!

I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!

Answer:

His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Answer:

42

Step-by-step explanation:

It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get

x=140.

we check if that number is true by finding 80% of 140.

4/5 * 140 = 112. So that means 140 is the number we want

30% of 140 is 3/10 * 140, which is 420/10, which is 42

Answer:

$64.6

Step-by-step explanation:

15% off $76 = -$11.4 = $64.6

Answer

I think they are things that you have to follow in order to work with the exponents

Answer:

12 i believe

Step-by-step explanation:

volume; LxWxH

3x2x2

3x2=6

6x2=12

sorry if this is wrong lol but this is what i believe it is

Answer:

i think

all the numbers between

0 to 4.6

Answer:

D

Step-by-step explanation:

Examples

-10 +9 = -1

-8 +9 = 1

-9+9=0

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)