Can anybody help me with this problem please this is due today

Can Anybody Help Me With This Problem Please This Is Due Today

Answers

Answer 1

Answer: B

Rotating 90 degrees, about the origin, would mean rotating the triangle sideways to the right


Related Questions

What is the volume of this rectangular prism?

What is the volume of this rectangular prism?

Answers

Answer:

8/125 = 0.064

Step-by-step explanation:

(2/5)*(2/5)*(2/5)=8/125

Question 5
1 pts
Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.
If you pay $265, for how many hours was the technician at your house

Answers

Answer:

7 Hours

Step-by-step explanation:

$265 - $55 = $210

$210 / $30 = 7 Hours

Answer:

7 hours

Step-by-step explanation:

you would have to set up this probelm as an equation. Your equation should be 30h+55=265. The next step would be to subtract both sides of the equation by 55 to get 30h=210. the last step would be to divide both sides of the equation by 3 to get a total of 7 hours.

Question 51 ptsTime Warner Cable charges $30 per hour and a trip fee of $55 for each service call.If

PLs anwser these long problems one at a time!:
(U can number them like : number 1, number 2....)

PLs anwser these long problems one at a time!:(U can number them like : number 1, number 2....)
PLs anwser these long problems one at a time!:(U can number them like : number 1, number 2....)
PLs anwser these long problems one at a time!:(U can number them like : number 1, number 2....)
PLs anwser these long problems one at a time!:(U can number them like : number 1, number 2....)

Answers

The equations are solved to get

2/5 * (1 1/4 * x - 3 1/3) - 1 1/3 x here x = 1 3/5

2 1/8 x + 3/4 x + 1/6 - 7/12 x + 5 2/3 here x = 2 6/11

0.5(x + 1.6) + 1.4(3x + 2.4) = 9.8 here x = 1.2

How to simplify the expressions

1.

2/5 * (1 1/4 * x - 3 1/3) - 1 1/3 * x

opening the parenthesis and converting to improper fraction

1/2 x - 4/3 - 4/3 x

-5/6 x - 4/3

-5/6 x = 4/3

x = 8/5

x = 1 3/5

2.

2 1/8 x + 3/4 x + 1/6 - 7/12 x + 5 2/3

adding like terms

55/24 x + 35/6 = 0

55/24 x = - 35/6

x = 28/11

x = 2 6/11

3.

0.5(x + 1.6) + 1.4(3x + 2.4) = 9.8

removing the parentheses:

0.5x + 0.8 + 4.2x + 3.36 = 9.8

4.7x + 4.16 = 9.8

4.7x = 5.64

x = 1.2

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29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.

For instance, the diagram shows the pattern where n = 7.

If the total length of visible ares is 60 units, what is n?

29.For n 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each

Answers

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Find the length of the hypotenuse of the right triangle.

Find the length of the hypotenuse of the right triangle.

Answers

Answer:

The length of the hypotenuse is 100.

Step-by-step explanation:

To find the length of the hypotenuse, we use the following formula:

c=\(\sqrt{a^2+b^2}\)

c=\(\sqrt{28^2+96^2}\)

c=\(\sqrt{10,000}\)

c=100

Therefore, the length of the hypotenuse is 100.

I need expert answers for this

I need expert answers for this

Answers

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

How to prove Trigonometric Identities?

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+

Answers

Answer:

A

Step-by-step explanation:

To find 10% of 500 you would multiply 500 by 0.1

start by thinking of the number 22 as divided into 22 individual items and the variables x1, x2, and x3 as three categories into which these items are placed. since each xi is a positive correct: your answer is correct. integer, start by placing one item in each category and distribute the remaining items among the categories. the number of solutions to the equation that satisfy the given condition is the number of ways to place all the items into the categories. thus, the answer is 20 incorrect: your answer is incorrect. .

Answers

The number of solution to the equation is 210 when consider the number 22 as being composed of 22 distinct items, with the variables x₁, x₂ and x₃.

Given that,

Consider the number 22 as being composed of 22 distinct items, with the variables x₁, x₂ and x₃ . acting as the three categories into which these items are sorted. Since each x is a true affirmative, your response is accurate. Put one item in each category to begin with, then divide the remaining items across the categories. The number of classification schemes for all the objects is the number of solutions to the equation satisfying the given criteria. In light of this, your response of 20 is erroneous.

We know that,

Number 22 is divided into 22 individual items ,

The three categories in which these items are placed are x₁, x₂ and x₃ .

x₁+x₂+x₃=22----->equation(1)

(x₁-1)+(x₂-1)+(x₃-1)=22-3=19

Let

a=x₁-1,

b=x₂-1 and

c=x₃-1.

So,

a+b+c= 19 ----->equation(2)

So , the number of ways of arranging 21 characters in which 19 are same(A) and 2 are same (J)

= 21!/(2! × 19!)

= 21×10 = 210

Therefore, the number of solution to the equation is 210 when consider the number 22 as being composed of 22 distinct items, with the variables x₁, x₂ and x₃.

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just need 1, 3 , 5 please will give brainly

just need 1, 3 , 5 please will give brainly

Answers

1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

What is volume of a rectangular pyramid?

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

V represents the volume of the pyramidThe base area refers to the area of the base of the pyramidThe height represents the vertical distance from the base to the apex (top) of the pyramid.

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months

Answers

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?

Answers

With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.

How is the total interest computed?

We assume that there are monthly repayments and compounding interest on the car loan.

With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.

Car loan = $43,000

Down payment = $0

Fixed Annual Percentage Rate (APR) = 4.9%

Loan term = 5 years

Car Loan Calculator with monthly Repayment:

Payment = $809.49/month

Interest Paid =$5,569.67

Total Paid = $48,569.67

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If l || m , find the values of x and y .

If l || m , find the values of x and y .

Answers

Answer:

Can you give me an equation please and ill change this to the correct answer

Step-by-step explanation:

Answer:

x = 21, y = 15

Step-by-step explanation:

\((6x + 7) \degree + (3x - 16) \degree = 180 \degree \\ (exterior \: \angle s \: ) \\ \\ (9x - 9) \degree = 180 \degree \\ \\ 9x - 9 = 180 \\ \\ 9x = 180 + 9 \\ \\ 9x = 189 \\ \\ x = \frac{189}{9} \\ \\ x = 21 \\ \\ (11y - 32) \degree = (6x + 7) \degree \\ (vertical \: \angle s) \\ \\ (11y - 32) \degree = (6\times 21- 16) \degree \\ \\ (11y - 32) \degree = (126 + 7) \degree \\\\ (11y - 32) \degree = 133 \degree \\ \\ 11y - 32 = 133 \\ \\ 11y = 133 + 32 \\ \\ 11y = 165 \\ \\ y = \frac{165}{11} \\ \\ y = 15\)

(3x + 23) degree (7x - 37) degree find m angle XYV

Answers

Answer:

An Obtuse angle is an angle whose degree measure is greater than 90 and less than 180o. ... 2x + 8 + 3x + 2 = 180 ... 14 – 23, Provide the name of the following relationships: 14. ... m∠BEC = 5x - 25 and m∠DEA = 7x – 65, find ... 37. If the measures of the angles of a triangle are represented by 2x + 8, x - 8 and 2x – 20.

Step-by-step explanation:

The required measure of angle ∠XYV is given as 112°.

What are the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
According to the given condition,
As Line WV intersects line XZ at V so,
Angle XYW = Angle VYZ
Substitute the value in the above expression,

3x + 23 = 7x - 37

60 = 4x
x = 15

∠ XYW = 3x + 23
            = 3(15) + 23
            = 45 + 23
            = 68

Now,
∠XYV = 180 - ∠ XYW
Substitute the value in the above expression,


∠XYV = 180 - 68
∠XYV = 112°

Thus, the required measure of angle ∠XYV is given as 112°.

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Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?

Answers

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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A population of 50 hamsters grows at an annual rate of 40%.
What will be the population after 8 years? ​

Answers

Answer:

560 hamsters

Step-by-step explanation:

==> 50 + 40% = 70

==> multiply 70 by 8 years

==> 70 × 8

==> 560

Stacy performed an experiment in which she flipped a coin three times. The list below shows all the possible combinations of the outcome of the experiment.

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Is Stacy more likely to flip a heads on the first try or flip a tails on the second two tries of the experiment?

A. Stacy is more likely to flip a tails on the second two tries of the experiment, because 4/8 > 2/8

B. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8

C. Stacy is more likely to flip a tails on the second two tries of the experiment, because 6/8 > 4/8

D. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8

Answers

Answer:

option A is the correct answer.

Step-by-step explanation:

Stacy is more likely to flip a tails on the second two tries of the experiment, because there are four possible outcomes with tails on the second two tries (HT, TT, HT, TT) out of a total of eight possible outcomes, which gives a probability of 4/8 or 1/2. On the other hand, there are only three possible outcomes with heads on the first try (H**, T**, H, T) out of a total of eight possible outcomes, which gives a probability of 3/8. Therefore, option A is the correct answer.

a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D? ​

Answers

Answer:

1

5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

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Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

I need help with this math problem and I need to show work.

I need help with this math problem and I need to show work.

Answers

ANSWER: 1/125

EXPLANATION:
5^-3
= 1/5^3
=1/5*5*5
=1/125

Hope it helps u!
that’s right i think

hey ayo
WHERE ALL MY FNAF FANS AT WHO IS YOUR FAVORITE OUT OF THEM ALL PICK ATLEAST 3

hey ayoWHERE ALL MY FNAF FANS AT WHO IS YOUR FAVORITE OUT OF THEM ALL PICK ATLEAST 3

Answers

Answer:

Step-by-step explanation:

ballon boy, original freddy, and spring trap

Answer:

Mine is Vanny, Mangle and Puppet.

Evaluate 2w2+8, when w=−4.


HELP ASAP

Answers

Answer:

-8

Step-by-step explanation:

Plug in -4 for w,  2(-4)2+8     (2x-4x2+8)

2 x -4 x 2 =-16

-16+8= -8

WILL GIVE BRAINLIEST

can someone tell me a few linear equations with one solution?

Answers

x - 3 = 7 (only solution is 10)

2x + 5 = 11 (only solution is 3)

7x - 1 = 27 (only solution is 4)

4x + 2 = -6 (only solution is -2)

3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!

Answers

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

What is a Variable?

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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Which statement is true?

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.

C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.

D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.

Answers

Answer:

The correct answer is A I believe . . .

Answer:

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Step-by-step explanation:

Rectangles are parallelograms since they have 2 pairs of parallel sides.  All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.

Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices

2.5 miles per hour

2 miles per hour

1 mile per hour

1.5 miles per hour

Answers

The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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HELPPPP AHHHH
I been stuck on this for over 20 mins

HELPPPP AHHHHI been stuck on this for over 20 mins

Answers

Dillion and nevaeh- hope this helps



please help me!! I’m bad at math!!

please help me!! Im bad at math!!

Answers

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?

Answers

Answer:

See below!

Step-by-step explanation:

Data:

254, 202, 284, 269, 151, 258, 202

Mean:The sum of data divided by the number of data is called mean.

Mean of the data:

\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)

Median:The middle value of the data is median.

Median of data:

Arrange the data in increasing order.

151, 202, 202, 254, 258, 269, 284

The middle value = 254

So,

Median = 254Mode:The frequently occurring value in the data is known as mode.

Mode in data:

The mode, here, is 202. (occurring 2 times.)

So,

Mode = 2

\(\rule[225]{225}{2}\)

The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.

In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.

If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.

Enter your answers as numbers. Your answers should be accurate to 1 decimal places.

Answers

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Convert the following equation into slope-intercept form.

x-26y=52

Answers

y=1/26x-2 would be the answer

The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
Submit Question
feet.

Answers

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

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