1 cm= 4 meters model is 75 1/4 cm tall what is the actuall height

Answers

Answer 1

Answer:

Step-by-step explanation:Answer:

1cm = 50

2 cm = 50 x 2

3cm = 50 x 3

and the inverse:50m = 50/50 = 1cm

100m = 100/50 = 2cm

150m = 150/50 = 3cm

381m = 381/


Related Questions

wrate 10 as a fraction of 30

Answers

Answer:

[tex]\frac{10}{30}[/tex]

Step-by-step explanation:

Answer:

10/30

Step-by-step explanation:

Please show work.

In 2018, the circulation of a local newspaper was 2,125. In 2019, its circulation was 2,250. In 2020, the circulation was 2,350

a. Find the percent of increase in the newspaper’s circulation from 2018 to 2019 and from 2019 to 2020.

b. Which period had a higher percent of increase, 2018 to 2019, or 2019 to 2020?

Answers

Part A

Percent increase = (New value - previous value)/previous value × 100%.

From 2018 to 2019:

(2250 - 2125)/2150 × 100% = 5.8% rounded

From 2019 to 2020:

(2350 - 2250)/2250 × 100% = 4.44% rounded

Part B

Compare the percent increase we obtained:

5.8% > 4.44%

Period 2018 to 2019 had a higher percent increase.

The Beta Club plans a dance as a fund-raiser. The band costs $650, decorations cost $45, and the refreshments cost $2.20 per person. The admission tickets are $6 each.
(a) How many tickets must be sold to break even?
(b) How many tickets must be sold to clear $700?
(c) If admission tickets are $7.50 each, how many must be sold to clear $700?

Answers

183  tickets must be sold to break even. The price at which a good or service must be provided in order to recoup its expenses of production.

How many tickets must be sold to break even?The price at which an asset must be sold in order to recover its acquisition and ownership costs is known as the break-even price. It can also be used to describe the price at which a good or service must be provided in order to recoup its expenses of production.

The band costs $650,

decorations cost $45

refreshments cost $2.20 per person

let x be the  no of ticket

Total cost = 650+ 45+ 2.20x

break even

tickets cost = $6

6x =   650+ 45+ 2.20x

6 x - 2.20x = 695

3.8 x  = 695

x = 182.89

183  tickets must be sold to break even.

tickets must be sold to clear $700

700/6 =116.6

700/ 7.5 = 93.33

117 tickets must be sold to clear $700

94 tickets must be sold to clear $700,  If admission tickets are $7.50 each.

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The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that: the probability of being awarded the first job (event A) is 0.17; the probability of being awarded the second job (event B) is 0.5; the probability of being awarded both jobs (A and B) is 0.375. If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?

Answers

Statements must be true concerning event A and event B are that event A and B are independent and not mutually exclusive.

Define mutually exclusive event.

Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events. Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

Given

The owner of the company believes that: the probability of being awarded the first job (event A) is 0.17.

The probability of being awarded the second job (event B) is 0.5; the probability of being awarded both jobs (A and B) is 0.375.

Statements must be true concerning event A and event B:

Event A and B are independent and not mutually exclusive.

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a regular pentagon with side lengths of 9 units is translated 2 units to the left. what is the length of one side of the pentagon after translation, in units? 2
9
5
8

Answers

The length of one side of the pentagon after translation is 9 units

Step-by-step explanation:

To be clear, "A translation is an isometry that translates all points of a figure the same distance in the same direction." The dimensions of any geometric figure will never change as a result of translation. The figure's measurements won't change; it will simply be moved from one location to another.

This means that even after being translated 2 units to the left, a regular pentagon with sides of 9 units will still have a side length of 9 units.

The length of one side of the pentagon after translation is 9 units(option B)

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The Gonzalez family and the Walker family each used their sprinklers last summer. The Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour?
Gonzalez Family Sprinklers :
Walkers Family Sprinklers :

Answers

Gonzalez Family Sprinklers used 15 liters and Walkers Family Sprinklers used 40 liters.

What was the water output rate for each sprinkle?

From the information, the Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water.

Let Gonzalez = g

Let Walker = w

The equation will be:

g + w = 55 .... i

35g + 40w = 2125 ....

From equation i g = 55 - w

Put the above into equation ii

35g + 40w = 2125

35(55 - w) + 40w = 2125

1925 - 35w + 40w = 2125

Collect like terms

5w = 2125 - 1925

5w = 200

Divide

w = 200 / 5

w = 40

Walkers Family Sprinklers used 40 liters.

Since g + w = 55

g + 40 = 55

g = 55 - 40

g = 15

Gonzalez Family Sprinklers used 15 liters.

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Which of the following sets represents a function? {(3, 5), (-1, 7), (3, 9)} {(1, 2), (3, 2), (5, 7)} {(1, 2), (1, 4), (1, 6)} unlimited attempts remain

Answers

The set {(1, 2), (1, 4), (1, 6)} represents a function because each value of x corresponds to only one value of y.

In contrast, the sets {(3, 5), (-1, 7), (3, 9)} and {(1, 2), (3, 2), (5, 7)} do not represent functions because they contain multiple values of x that correspond to the same value of y. Specifically, the set {(3, 5), (-1, 7), (3, 9)} contains two values of x (3 and -1) that correspond to the same value of y (7), while the set {(1, 2), (3, 2), (5, 7)} contains two values of x (3 and 1) that correspond to the same value of y (2).

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How long will it take for a $1000 investment to grow to $1500 at an annual rate of 13%, compounded semiannually? Assume that no withdrawals are made. Do
not round any intermediate computations, and round your answer to the nearest hundredth.

Answers

This is a case of Compound Interest.

It takes around 3.22 years for investment to grow to 1500$ from 1000$.

How to calculate Compound Interest?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Annual amount, A=P(1+[tex]\frac{r}{n}[/tex])∧nt

Calculation:

Given,

P=1000$

A=1500$

r=13%=0.13

A=P(1+[tex]\frac{r}{n}[/tex])∧nt

n=2(Compounded semi-annually)

⇒1500=1000(1+[tex]\frac{0.13}{2}[/tex])^2t

⇒[tex]\frac{1500}{1000}[/tex]=(1.065)^2t

⇒1.5=(1.065)^2t

Taking log on both sides

㏒(1.5)=2t㏒(0.625)

⇒t=[tex]\frac{log(1.5)}{2log(0.625)}[/tex]

⇒t=3.219years≈3.22years

This is a case of Compound Interest.

It takes around 3.22 years for investment to grow to 1500$ from 1000$.

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Can you please help me

Answers

Answer:

  (c)  see below

Step-by-step explanation:

You want the graph of the compound inequality x > -6 or x > -2.

Graphs

The graph of the inequality x > -2 is shown as the top selection.

The graph of the inequality x > -6 is shown as the bottom selection.

You will notice that the bottom graph overlaps and includes the top graph. Hence the "OR" of the inequalities will look like the bottom graph, attached.

Solve the equation for x

Answers

Answer:

Question 3

5x + 100 = 7x + 30

100 - 30 = 7x - 5x

70 = 2x

x = 35

Question 4

3y + 16 = 5y

16 = 5y - 3y

16 = 2y

y = 8

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

________________________________

5(x+20) = 7x + 30

=> 5x + 100 = 7x + 30

=> 100 – 30 = 7x – 5x

=> 70 = 2x

=> x = 70/2

=> x = 35

The value of x is 35.

________________________________

3y + 16 = 5y

=> 16 = 5y – 3y

=> 16 = 2y

=> y = 16/2

=> y = 8

The value of y is 8.

_______________________________

the ucl for a process where the process mean is 35, sample size is 25 and the average sample standard deviation is 5, will be 38.

Answers

The upper control limit(UCL) is 160

sample mean X =35

sample size n   =25

sample size n=25, average sample standard deviation is 5

Upper control limit is shown by the top dashed line (UCL). The data that is plotted on the control chart is used to calculate the upper control limit. It is positioned 3 sigma off the average line (of the data being plotted).

A control chart is made up of various components. It has an average line and two control limits. The lower control limit is represented by the dashed bottom line (LCL). The statistic's average is represented by the solid center line. The higher control limit appears as the top dashed line (UCL).

a)

Upper control limit(UCL) =X+A2R =160

Control line (CL) = X=35

Lower control limit (LCL)=X-A2R =90

Hence, The upper control limit (UCL) is 160

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Find x and the length of side UR

Answers

The value of x in the parallelogram is zero.

How to find the sides of a parallelogram?

A parallelogram is a two-dimensional geometrical shape(quadrilateral) whose sides are parallel to each other.

Therefore, the properties of a parallelogram are as follows:

opposite sides are equalopposite sides are parallel to each otherThe opposite angles are equalEach diagonal bisects the parallelogram into two congruent trianglesThe consecutive or adjacent angles are supplementary

Therefore, let's find the value of x using the properties of a parallelogram.

Hence,

ST = RU

2x + 15 = x + 15

2x - x = 15 - 15

Therefore,

x = 0

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We can use the function to estimate the total amount of daylight for an entire year. enter the function into maple and use riemann sums (using midpoints for the height of the rectangles) to estimate the total amount of daylight when: a. n ______

Answers

A right Riemann sum has the formula  A=∑ni=1Δxf(xi) A = ∑ i = 1 n Δ x f ( x i ) where x is the width of each of the n rectangles and f(xi) is the height.

what is is Riemann sum?

A specific method of approximating an integral with a finite sum in mathematics is known as a Riemann sum. Riemann is the name of a German mathematician who lived in the 19th century. Approximating the area of functions or lines in graphs, as well as the length of curves and other approximations, is a highly typical application. The picked points in each subinterval of the partition are all in the upper Riemann sum, given an interval partition. The interval is often separated into subintervals of equal size.

Riemann  sum formula is A=∑f(xi)Δx A = ∑ f ( x i ) Δ x ,

where A is the curve's area under the evaluable interval,

f(xi) f ( x i ) is each rectangle's height (or the average of the two heights in the case of a trapezoid)

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Help guys!!!!! This is due tomorrow morning!! :)

Answers

Answer:

Step-by-step explanation:

we are told that JK and KL sides are the same (b/c of the marks) so set them equal and solve for x

8x =  13x-15

8x - 8x  + 15   =  13x - 8x  -15 + 15

15 = 5x

divide by 5

3 = x

Use the fact that it's 180°  around the interior angles of the triangle to solve for y

180  = 5y -3  + 52 + 76

52 = 5y - 3

55 = 5y

11 = y

There were n signers of the Declaration of Independence. The oldest was Benjamin Franklin, who was y years old.

7 is 10% of y and n is 80% of y. How many signers were there?

Answers

Answer:

There were 56 signers.

Step-by-step explanation:

First, set up the two equations for the two situations we are given.

7 is 10% of y . . . . .(1):

[tex]7 = \frac{10}{100}(y)[/tex]

n is 80% of y . . . . .(2):

[tex]n = \frac{80}{100}(y)[/tex]

Now, solve for y in the 1st equation, and substitute y in the second equation to solve for n.

[tex]7 = \frac{10y}{100}[/tex]

[tex]700 = 10y\\[/tex]

[tex]70 = y[/tex]

[tex]n = \frac{80*70}{100}[/tex]

[tex]n = \frac{5600}{100}[/tex]

[tex]n = 56[/tex]

Answer:

56 signers

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

7 is 10% of y, find y:

7 = 0.1y ⇒ y = 70

n is 80% of y, find n:

n = 0.8y = 0.8*70 = 56

The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between _____$ and _____$ on textbooks in a semester.
Question 12
Type numbers in the boxes.
1 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 16. According to the standard deviation rule, ______% of people have an IQ between 52 and 148. Do not round.
Question 13
Type numbers in the boxes.
10 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only _____% of people have an IQ over 139.
Question 14
Type numbers in the boxes.
10 points
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ= 310 and a standard deviation of: σ= 36.
According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester? _____

Answers

(b) is the correct response. the students spend on textbooks in a semester between $250 and $2,000

The Gaussian distribution is another name for the normal distribution. It is a typical continuous probability distribution with a standard deviation of one and a mean of zero.

The tails of the curve are asymptotic, extending to infinity without touching the horizontal axis, and the curve is unimodal and symmetric about the mean. Since the majority of observations are centered on the mean, mean=mode=median.

99.7% of the area under the curve is approximately -3, or 3 standard deviations from the mean, according to the 68-95-99.7 rule. The z score is determined utilizing the accompanying recipe:

For z=3, solve for both x by equating the z score formula with -3 and 3.

3 = x 235 5 x = (3 5) + 235 x = 250 for z=-3:

3 = x 235 5 x = (3 5) + 235 x = 220 A student spends between $220 and $250 on textbooks each semester.

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Full Question = The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $5. According to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?

a. Between 230 and 240 dollars.

b. Between 220 and 250 dollars.

c. Between 175 and 295 dollars.

d. Less than 220 dollars or more than 250 dollars.

e. Less than 230 dollars or more than 240 dollars.

A natural number is choosen at random from the 100 natural number. what is the probability that number so chosen is devisible by 3?​

Answers

Answer:

33/100

Step-by-step explanation:

The 100 natural numbers are from 1-100.

In order to find the total numbers divisible by 3, divide 100 by 3:

100/3 = 33.33

Put 33.33 into integer form:

33.33 ==> 33 numbers divisible by 3.

Divide 33 by 100 to get the probability: 33/100

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Please find what the rent per unit needs to be to have a Net Operating Income (NOI) of $100,000.
Assumptions
Please use the following assumptions below:
Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income) 5%
Operating Expenses (% of Effective Gross Income) 30%
Number of Units 18
*Please fill out the blue area Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income)
Operating Expenses (% of Effective Gross Income)
Number of Units

Answers

Applying the net operating income ratio, the rent per unit needs to be $8,354.22 to generate an NOI of $100,000.

What is the NOI?

The net operating income (NOI) is the result of the subtraction of the operating expenses from the gross operating income.

The net operating income ratio can be computed by subtracting the given operating expenses ratio from the operating gross income, which represents 100%.

                                                                                            Total

Rent per unit (per month) = $696.19 ($8,354.22/12)   $150,376

Vacancy Rate (5% of Potential Gross Income)                   7,519

Effective Gross Income                                                $142,857

Operating Expenses (30% of Effective Gross Income) 42,857

Net Operating Income (NOI)                                      $100,000

Number of Units 18

Working Backwards:

Gross operating income = net operating income + operating expenses

Operating expenses = 30% of effective gross income

Net operating income = 70% of effective gross income (100 - 30%)

= $100,000

Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)

Vacancy rate = 5% of potential gross income

Effective Gross Income = 95% (100 - 5)

Potential gross income = $150,376 ($142,857 ÷ 95%)

Number of units = 18

Rent per unit = $8,354.22 ($150,376/18)

Rent per month = $696.19 ($8,354.22 ÷ 12)

Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.

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She does not want to give up going to the spa by Emily feels that she could cut her costs a bit she’s thinking of getting a 45 minute massage for $80 and a regular manicure and pedicure for $40. If she makes exchange how much will she save?

Answers

Answer:

umm i would say 40$

Step-by-step explanation:

sorry if i have misunderstood the question

4. Caroline baked cookies from a recipe that called for 2 cup of sugar. She planned to triple the recipe.
How much sugar did she need?

Answers

Caroline needed 6 cups of sugar because 2x3 = 6

Answer:

Step-by-step explanation: So First you  would need to multiply 2x3 because if you need to triple two cups you have to multiply so the answer is 6 cups

Questionaire image below

Answers

Answer:

15 years old45 liters of sugar solution

Step-by-step explanation:

You have ages in the ratio 3:5:7, with the average age being 25, and you want to know the age of the youngest. You have 45 L of a solution in the ratio sugar : salt = 1 : 2, and you want to know how much sugar solution to add to make the ratio 2 : 1.

Ages

The age ratios are an arithmetic progression with an odd number of terms, so the middle one is the average. That is, the average age of 25 years corresponds to 5 ratio units. Then the youngest boy is ...

  3/5 × 25 = 15 . . . . years old

Solution

The ratio 1 : 2 of sugar solution to salt solution tells you that the fraction that is sugar is 1/(1+2) = 1/3 of the whole amount, or ...

  sugar solution = 1/3 · 45 L = 15 L

Then the salt solution is ...

  salt solution = 45 L -15 L = 30 L . . . . . . . or (2/3·45 L)

To make the solution have twice as much sugar solution as salt solution, we need a total of 2·(30 L) = 60 L of sugar solution. We already have 15 L, so we need to add ...

  added sugar solution = 60 L -15 L = 45 L

45 L of sugar solution must be added to make the sugar : salt ratio be 2 : 1.

__

Additional comment

The "solution" problem can also be worked by considering "ratio units." The original sugar:salt ratio is 1:2. To make it be 2:1 while keeping the salt constant, we need to increase the ratio from 1:2 to 4:2. That is, we need to add 4-1 = 3 units of sugar solution. The 45 L amount is the amount of 1+2=3 units of solution, so we need to add 45 L of sugar solution.

What is the relationship between corresponding angles if parallel lines are cut by a transversal 

_ Linear pair

_Congruent

_Supplementary

_Complemantary

Answers

Answer:

  (b)  _Congruent

Step-by-step explanation:

You want to know the relationship between corresponding angles where a transversal crosses parallel lines.

Corresponding angles

The Corresponding Angles theorem tells you that corresponding angles at a transversal are congruent if and only if the lines are parallel.

Corresponding angles are congruent.

__

Additional comment

This fact is the basis for the simplest method of constructing a line parallel to a given line through an external point. (A transversal is drawn, and the angle is copied, making congruent corresponding angles.)

All of the other angle relationships at a transversal can be derived from this one using the usual relationships of linear pairs and vertical angles.

Solve.
Six times a number is equal to the number increased by 10. Find the number.

Answers

When 6 times a number is equal to the number increased by 10. The number is 5.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number be represented as x.

Six times a number is equal to the number increased by 10. This will be:

(6 × x) = x + 10

6x + x = 10

Collect the like terms

6x - x = 10

5x = 10

Divide.

x = 10 / 2

x = 5.

The number is 5

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Write an expression to model the interest earned on each account, then find the balance of each option after 3 years. Complete the table. Round your responses to the nearest whole cent, if necessary.

Answers

The missing parts of the table for the compound interest problem are;

2)  $487.91

3) 435(1.039)^(t) and  $487.91

4) 435(e)^(0.039t) and $499

How to find the compound interest?

1) In this account, we are given the formula for the compound interest as;

P(1 + rt)

The balance after t years is expressed as;

435(1 + 0.039t)

Balance after 3 years is;

435(1 + 0.039(3)) = $485.90

2) In this account, we are given the formula for the compound interest as;

P(1 + (r/n))^(nt)

The balance after t years is expressed as;

435(1.039)^(t)

Balance after 3 years is;

435(1.039)^(3) = $487.91

3) Same as 2 above

4) In this account, we are given the formula for the compound interest as;

P₀e^(rt)

The balance after t years is expressed as;

435(e)^(0.039t)

Balance after 3 years is;

435(e)^(0.039 * 3) = $499

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solve the following exponential equation. express irrational solutions in exact form and as a decimal rounded to three decimal places. 3^1-4x = 4x

Answers

The irrational solution of an exponential function, 3⁽¹⁻⁴ˣ⁾ = 4ˣ in exact form, is equals to the 0.190 in a decimal rounded to three decimal places.

Exponential function:

The exponential function is a mathematical function of the form f(x) = aˣ , where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0. The most commonly used exponential base is the transcendental number e, which is approximately equal to 2.71828.

We have given an exponential equation is

3⁽¹⁻⁴ˣ⁾ = 4ˣ

Require to solve this Exponential equation.

Now, 3⁽¹⁻⁴ˣ⁾= 4ˣ

taking logarithm both sides we get,

ln ( 3⁽¹⁻⁴ˣ⁾ ) = ln(4ˣ)

=> (1-4x) ln(3) = xln(4) [using ln( aˣ)= x ln(a) ]

=> ln (3) - 4x ln (3) = x ln (4)

=> ln (3) = x ln(4) + 4x ln(3)

=> ln (3) = x[ ln (4) + 4 ln (3) ]

=> x = ln (3) / [ ln (4) + 4 ln (3) ]

=> x ~ 0.190

Therefore, solution set is ln (3) / [ ln (4) + 4 ln (3) ].

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Simplify using order of operations.

5³+28 /7-1

Answers

Answer:

128

Step-by-step explanation:

DO the "E"

  125 + 28/7   -1    do the  division next

  125  +   4     - 1     now do the + or -  or both

     128

DIRECTIONS: Use this information to answer Parts A and B.

Eric lays tile on a floor at a constant rate. He covers a 150-square-foot floor in 3 hours.

Complete the table to show the area Eric can cover in various amounts of time.

Enter the correct answers in the boxes.

The unit rate can be expressed in area covered per hour.

Answers

a) The table with the output values is completed on the first image at the end of the answer.

b) The graph of the proportional relationship is given by the second image at the end of the answer.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

He covers a 150-square-foot floor in 3 hours, hence the constant of proportionality is obtained as follows:

k = 150/3 = 50 sq feet per hour.

Then the equation is given as follows:

y = 50x.

Then the numeric values for the table are given as follows:

3 hours: y = 50 x 3 = 150 ft².4 hours: y = 50 x 4 = 200 ft².4.5 hours: y = 50 x 4.5 = 225 ft².5 hours: y = 50 x 5 = 250 ft².6.5 hours: y = 50 x 6.5 = 325 ft².

Missing Information

The problem is given by the image shown at the end of the answer.

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Courtney would like to estimate the net worth of all people in the US. The distribution of net worth of people in the
US is strongly skewed to the right. Courtney selects an SRS of size n = 15 from this population and calculates the
sample mean. What is the shape of the distribution of the sample mean for all possible simple random samples of
size 15 from this population?

Answers

The distribution of the sample mean for all possible simple random samples of size 15 from the population of net worth in the US will be approximately normal, with a mean of μ and a standard deviation of σ/√15.

Courtney's estimate of the net worth of all people in the US is strongly skewed to the right. This means that the majority of the population has a net worth that is lower than the average net worth. When Courtney selects an SRS of size n = 15 from this population and calculates the sample mean, the shape of the distribution of the sample mean for all possible simple random samples of size 15 from this population will be approximately normal.

The Central Limit Theorem states that if a population has a mean of μ and a standard deviation of σ, then the sampling distribution of the sample mean will be approximately normal, no matter what the shape of the population distribution is, as long as the sample size is large enough. Since Courtney's sample size of 15 is large enough, the sampling distribution of the sample mean will be approximately normal.

The sample mean will have a mean of μ, which is the population mean, and a standard deviation of σ/√n, where n is the sample size. Since Courtney's sample size is 15, the standard deviation of the sample mean will be σ/√15. This means that the sample mean will be normally distributed with a mean of μ and a standard deviation of σ/√15.

Learn more about Central Limit Theorem at : https://brainly.com/question/18403552

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Chris completed a 100-meter breaststroke swimming race in 92.542 seconds.
Michael completed the 100-meter breaststroke swimming race in 95.6 seconds.
How much faster was Chris's time than Michael's?

Answers

Answer: C its C

Step-by-step explanation:

GOT DANG JUST READ THE ANSWER ITS CCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Find the width (in m) of the river in the illustration. (Round your answer to three significant digits.)
44°
100 m

Answers

Answer:

[tex]w \approx 96.6 \, \textrm{m}[/tex]

Step-by-step explanation:

See the attached image for my labeled diagram.

To solve for [tex]w[/tex], we can use the trigonometric ratio tangent.

[tex]\tan(\theta)=\dfrac{\textrm{opposite}}{\textrm{adjacent}}[/tex]

[tex]\tan(44\textdegree)=\dfrac{w}{100 \, \textrm{m}}[/tex]

↓ multiply both sides by 100m

[tex]100 \, \textrm{m} \cdot \tan(44\textdegree)=w[/tex]

↓ plug [tex]100\, \textrm{m} \cdot \tan(44\textdegree)[/tex] into a calculator

[tex]96.56887 \, \textrm{m} \approx w[/tex]

[tex]w \approx 96.56887 \, \textrm{m}[/tex]

↓ round to 3 significant figures

[tex]w \approx 96.6 \, \textrm{m}[/tex]

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