How do you do this question

Answer:

0.62% probability that randomly chosen salary exceeds $40,000

Step-by-step explanation:

Problems of normally distributed distributions are 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.

In this question:

[tex]\mu = 30000, \sigma = 4000[/tex]

What is the probability that randomly chosen salary exceeds $40,000

This is 1 subtracted by the pvalue of Z when X = 40000. So

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

[tex]Z = \frac{40000 - 30000}{4000}[/tex]

[tex]Z = 2.5[/tex]

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

1 - 0.9938 = 0.0062

0.62% probability that randomly chosen salary exceeds $40,000

Answer:

228 cm²

Step-by-step explanation:

The base of the pyramid is a regular quadrilateral (a square), so there are 4 congruent lateral faces.

The total surface area is therefore:

A = 36 cm² + 4 (48 cm²)

A = 228 cm²

Answer:

cost in term of w is

c= 0.46 w+3

1600 in terms of hundred gallons is: 16 hundred

c= 0.46*16 +3 = 10.36 dollars

no

Step-by-step explanation:

The cost in terms of w is c= 0.46 w+3 and the total cost will be $10.36.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the city's water department charges $3 per month, plus 46c for every 100 gallons of water used.

The equation will be written as:-

Let w be the number of gallons of water, in hundreds, used in one month. Express the total monthly cost for water, in dollars, as an equation in terms of w.

c= 0.46 w+3

1600 in terms of hundred gallons is: 16 hundred

c= 0.46 x 16 +3 = 10.36 dollars

Therefore, the cost in terms of w is c= 0.46 w+3 and the total cost will be $10.36.

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Answer:

[tex]\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295[/tex]

Now we can calculate the degrees of freedom for the statistic given by:

[tex]df=(categories-1)=4-1=3[/tex]

And we can calculate the p value given by:

[tex]p_v = P(\chi^2_{3} >18.295)=0.00038[/tex]

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference of birthdates distributed throughout the​ year

H1: There is a difference between birthdates distributed throughout the​ year

The level of significance assumed for this case is [tex]\alpha=0.05[/tex]

The statistic to check the hypothesis is given by:

[tex]\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}[/tex]

The table given represent the observed values, we just need to calculate the expected values with the following formula [tex]E_i = \frac{total}{4}[/tex]

And replacing we got:

[tex]E_{1} =\frac{67+56+30+37}{4}=47.5[/tex]

And now we can calculate the statistic:

[tex]\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295[/tex]

Now we can calculate the degrees of freedom for the statistic given by:

[tex]df=(categories-1)=4-1=3[/tex]

And we can calculate the p value given by:

[tex]p_v = P(\chi^2_{3} >18.295)=0.00038[/tex]

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Answer:

9.600

9.6

Step-by-step explanation:

These two decimals above are equivalent to 9.60 because no matter the amount of zeroes there are, as long as the numbers before the zeroes maintain the same location (in this case, ones and tens place) the decimals will be equivalent. For example, 9.60 is also equivalent to 9.600000000000000000000000...

Answer:

€60

Step-by-step explanation:

€45 = 75%

100% (original) = (100/75)

[tex](100 \div 75) \times 45 = 60[/tex]

Answer:

B. 17

Step-by-step explanation:

The average rate of change is:

m_avg = (y₂ − y₁) / (x₂ − x₁)

m_avg = (100 − 49) / (10 − 7)

m_avg = 17

Answer:

8,000,000 or 2,000,000

Step-by-step explanation:

For 8,000,000=

1st 50 years= 500,000+500,000= 1,000,000

2nd 50 years= 1,000,000+1,000,000= 2,000,000

3rd 50 years= 2,000,000+2,000,000= 4,000,000

4th 50 years= 4,000,000+4,000,000= 8,000,000

For 2,000,000=

200 years ÷ 50 years= 4

500,000×4= 2,000,000

I can't decide

Answer:

The interest is compounded quarterly.

The effective annual interest rate on the account is 8.60%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

We are given:

[tex]A(t) = 1000(1.0215)^{4t}[/tex]

Comparing to the general formula.

[tex]P = 1000[/tex]

[tex]1 + \frac{r}{n} = 1.0215[/tex]

[tex]nt = 4t[/tex]

From the last one:

[tex]n = 4[/tex]

Which means 4 compoundings per year. This means that the interest is compounded quarterly.

Interest rate:

[tex]1 + \frac{r}{n} = 1.0215[/tex]

Since n = 4.

[tex]\frac{r}{4} = 1.0215 - 1[/tex]

[tex]\frac{r}{4} = 0.0215[/tex]

[tex]r = 4*0.0215[/tex]

[tex]r = 0.0860[/tex]

So the interest rate is of 8.60%.

Answer:

the answer is quarterly and 8.88

Step-by-step explanation:

got 100 on the test

Options:

A. Both the Highlands and the Lowlands data points are evenly distributed around the center.

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.

D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.

Answer:

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

Step-by-step Explanation:

From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.

Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.

Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."

Answer:B

Step-by-step explanation: I took the edge quiz

Answer:

Check Below.

Step-by-step explanation:

In  Probability/ Statistics in simple terms it is a variable which possess the following characteristics within a sample space: 1) Their values are defined within the set of Real Numbers, i.e. it is a Quantitative variable. 2) It is possible to calculate its probability.

Answer:

(a) There are 32,760 different ways to appoint the officers.

(b) 3003 different ways can the committee be​ appointed.

(c) ​Probability of getting the five youngest of the qualified ​candidates is 0.00033.

Step-by-step explanation:

We are given that a corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with five different members.

There are 15 qualified​ candidates, and officers can also serve on the committee.

(a) The number of officers are 4, i.e; A president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO).

There are 15 qualified candidates.

To find the number of ways to appoint the officers, we will use permutation because here the order of selecting the officer's matters.

So, the number of ways to appoint the officers = [tex]^{15}\text{P}_4[/tex]

            =  [tex]\frac{15!}{(15-4)!}[/tex]              {[tex]\because ^{n}\text{P}_r = \frac{n!}{(n-r)!}[/tex] }

            =  [tex]\frac{15!}{11!}[/tex]  =  32,760 ways

(b) The number of committee numbers to appoint include five members.

There are 15 qualified candidates.

To find the number of ways in which the committee can be​ appointed, we will use combination because here the order of selecting the members doesn't matter.

So, the number of ways to appoint the committee = [tex]^{15}\text{C}_5[/tex]

            =  [tex]\frac{15!}{5! \times (15-5)!}[/tex]              {[tex]\because ^{n}\text{C}_r = \frac{n!}{r! \times (n-r)!}[/tex] }

            =  [tex]\frac{15!}{5! \times 10!}[/tex]  =  3003 ways

(c) The probability of randomly selecting the committee members and getting the five youngest of the qualified​ candidates is given by;

Number of ways of selecting the committee = 3003

Selecting the five youngest of the qualified​ candidates = 1

So, the required probability =  [tex]\frac{1}{3003}[/tex]

                                              =  0.00033

Answer:

I believe the answer would be 59.93333

Answer:

7) 7/2 (its the only number between 3 and 4)

8) 7/10 ( its the only number between 3/5 and 4/5)

9) 5/8 (its the only number between 1/2 and 3/4)

Answer:

20

Step-by-step explanation:

one way is guess and check method, you draw a table and try out 3 different consecutive even numbers to see which 3 add up to 66

Answer: The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two ways to do this.

1. You could make an accurate diagram and measure R. This works but the computer won't like it. However you will know if you are correct. An answer ± 2 degrees would tell you that you are likely correct.

2. The second way is to find <C. Similarity guarantees that <C and <R are equal. The adjacent side to angle C is the second longest line. The second longest line in PQR is the adjacent side of <R.

Naturally we will use the second method, but you ought to try the first method. It's cumbersome but it will teach you how to read the values of triangles to make clear the trig functions.

Tan(C) = opposite over adjacent

Tan(C) = 7 /  9

Tan(C) = .77777777...

<C = tan-1(0.7777777...)

<C = 37.87

<C = 37.9

To get the volume, you need the area of the sides of the square.

The total surface area is 96, with 6 sides. To get the surface area of just one side, divide 96 by 6, which gets you 16. The surface area of a single square is 16. To get one side of the square, divide that by 4 because there are 4 sides.

Now, multiply 16 by 4 to get the volume.

The volume is 64 cubed milllimeters.

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Also i hope this helped

Answer:

3ft

Step-by-step explanation:

volume = l*w*h

To solve use what you know.

11.08 ft^3 = 2.5 ft * 1.3 ft * X ft

2.5 ft *1.3 ft =3.5 ft^2

11.08ft^3 / 3.5ft^2 = 3.409 ft

nearest whole number is 3 ft

Answer:

building one is 292 years old and building two is 879 years old

Step-by-step explanation:

292x3= 879

The newer building is 73 years old,

And, The older building is 219 years old.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The total age of the buildings is 292 years.

Now,

Let the newer building is = x years old,

Then, The older building is = 3x years old.

Here, The total age of the buildings is 292 years.

So, We get;

⇒ x + 3x = 292

⇒ 4x = 292

⇒ x = 73

Thus, The newer building = x years old,

                                        = 73 years old

And, The older building = 3x years old.

                                     = 3 × 73

                                      = 219 years old

Therefore, The newer building is 73 years old,

And, The older building is 219 years old.

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Answer:

10 gallons

Step-by-step explanation:

Amy​'s car's maximum capacity to hold gas = 19 gallons

present amount of gas  = 9 gallons

As the car's capacity is 19 gallons and present amount in tank is 9 gallons, so we can fill it as much as so that the amount in tank becomes 19 gallons.

let assume she fills x gallons

then x gallons and 9 gallons present earlier should be equal to 19 gallon, as the tank can not hold more than that.

lets write it mathematically

x + 9 = 19

subtracting 9 from both side

x + 9 - 9 = 19 - 9

=> x = 10

Thus, 10 gallons of gas is needed to fill the gas tank.

Answer:

Each cat eats a tin each day. It means 2 tins are required each day for both the cats. So, for 14 days, they will need 28 tins.

Sue has bought just 8 tins, which is not enough

Answer:

A)  A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program.

The courses were not listed, but let's assume the courses are:

EPR 646,

EPR 602

EPR 679

EPR 622

EPR 684

In this case, we can see there are 5 possible courses.

Selecting them:

[tex]^5C_2 = \frac{5*4*3*2*1}{2*(5-2)!} = 10[/tex]

Therefore, there are 10 selections.

All possible two course selections:

(622,602); (622, 684); (622, 679);  (622, 646); (646, 602); (646, 679)

(646,684);  (602, 684); (602, 679);

(679, 684)

b) Likelihood that EPR 646 and EPR 679 will be selected

From the data abeve, EPR 646 and EPR 679 can be selected just once.

Therefore, the likelihood =

P(selecting EPR 646 and EPR 679) = [tex]\frac{num. of . times. event. occured}{total. number. of. outcome} =\frac{1}{10}[/tex]

Likelihood that EPR 646 and EPR 679 will be selected is [tex]\frac{1}{10}[/tex] = 0.1

Answer:A student entering a doctoral program in educational psychology is required to select courses from the list of courses provided as part of his or her program.

​(a) List all possible ​-course selections.

​(b) Comment on the likelihood that will be selected

Step-by-step explanation:

The dog is 15 year old in dog years.

In our eyes he's one, however in the eyes of a dog he is 15

small edit! thank you brainliest!!

Answer:

a) p=0.021

b) p=0.029

c) Exactly one audit: P=0.0965

More than one audit: P=0.0042

Step-by-step explanation:

a) If the income is less than $100,000, there is a probability of 21 in 1,000 of being audited. This is:

[tex]p_1=\dfrac{21}{1,000}=0.021[/tex]

If the income is equal or more than $100,000, there is a probability of 29 in 1,000 of being audited. This is:

[tex]p_2=\dfrac{29}{1,000}=0.029[/tex]

b) If we have 5 taxpayers with incomes under $100,000, and we want to know the probability that exactly one will be audited, we can model this a binomial randome variable, with p=0.021 and n=5:

[tex]P(x=1) = \dbinom{5}{1} p^{1}q^{4}=5*0.021*0.9186=0.0965\\\\[/tex]

There is a probability of 0.0965 that exactly one out of a sample of five taxpayers with incomes under $100,000 will be audited.

To calculate the probability that more than one will be audited, we use the same distribution:

[tex]P(x>1)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0) = \dbinom{5}{0} p^{0}q^{5}=1*1*0.8993=0.8993\\\\\\P(x=1) = \dbinom{5}{1} p^{1}q^{4}=5*0.021*0.9186=0.0965\\\\\\P(x>1)=1-[P(x=0)+P(x=1)]\\\\P(x>1)=1-(0.8993+0.0965)\\\\P(x>1)=1-0.9958\\\\P(x>1)=0.0042[/tex]

There is a probability of 0.0042 that more than one out of a sample of five taxpayers with incomes under $100,000 will be audited.

Answer:

65

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

130 = y+y

130 = 2y

Divide by 2

130/2= 2y/2

65=y

Answer:

D. 65

Step-by-step explanation:

I agree with the above reasoning

Answer:

The statement provided is TRUE.

Step-by-step explanation:

The four principle assumptions of the simple linear regression model are,

The first assumption clearly indicates that the y-values are statistically dependent upon the x-values.

Thus, the statement provided is TRUE.