Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).

What is the probability that a sample proportion of orange candies will be between .35 and .55?

Answers

Answer 1

Answer:

The  probability is  \(P(0.35 <X < 0.55) = 0.9921772\)

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

   

Generally the mean of the sampling distribution is  \(\mu_{x} = 0.45\)

 Generally the standard deviation is mathematically represented as  

        \(\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }\)

=>      \(\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }\)

=>      \(\sigma_{x} = 0.0376\)

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

      \(P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )\)

=>   \(P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )\)

Generally \(\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)\)

So

    \(P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )\)

=>  \(P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )\)

From the z-table  

    \(P( Z< 2.6595 ) = 0.99609\)

and

    \(P( Z< - 2.6595 ) = 0.0039128\)

So

   \(P(0.35 <X < 0.55) =0.99609 - 0.0039128\)

=> \(P(0.35 <X < 0.55) = 0.9921772\)


Related Questions

what is the variable "d" equal to in the equation 2d + 13

Answers

More context is needed

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Pls help answer fast rapidly is of khan academy:

Pls help answer fast rapidly is of khan academy:

Answers

Answer:

expanded: 7+0.08

standard: 7.08

Step-by-step explanation:

The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.

Hannah pays $27.50 for her dinner at her favorite restaurant in New York City. The cost of her dinner includes tax and tip, which was a 30% increase on the cost of her meal. What is the cost of Hannah’s meal without tax and tip?

Answers

Answer: $19.10

Step-by-step explanation:

To be honestly im not sure if this is 100% correct but, i did the work so it should be. So what i did was move the decimal from $27.50 one place to the left which is= 2.750. i then rounded the easiest number which then gave me the answer $2.80. Now the percentage, its 30% so you then change it to .30

then you multiply that number (.30 which is basically 3) with $2.80.

$2.80

x   .30

--------

you then get $8.40

which is the total cost of tax AND tip.

you subtract that with the cost of the dinner. ( $27.50 - $8.40 ) and you get the answer $19.10! I hope this helps! :))

Terry finished cooking at 7:36 p.m. She cooked for 2 hours and 40 minutes. What time did she start cooking?​

Answers

Answer:

2:56 pm

Step-by-step explanation:

end time: 7:36 pm

Borrow one hour from the hours and add it as 60 minutes to the minutes.

7:36 pm = 6:96 pm

Now subtract 2:40 from 6:96.

Subtract 2 from 7 and subtract 40 from 96.

7:36 pm - 2:40 = 6:96 pm - 2:40 = 2:56 pm

Answer: 2:56 pm

PLEASE HELP SOLVE THIS WUESTION SOLVE FOR y

PLEASE HELP SOLVE THIS WUESTION SOLVE FOR y

Answers

Answer:

y = 5

Step-by-step explanation:

12^2 + y = 13^ 2

144 + y = 169

169 - 144 = 25

sqrt of 25 = 5

y = 5

Answer:

A, y=5

Step-by-step explanation:

I just did it right now

PLS HELP QUICKLY!!!!!!!!!!

PLS HELP QUICKLY!!!!!!!!!!

Answers

Answer:

6.300

Step-by-step explanation:

Answer: What is "A" rounded to the nearest thousandth? answer: 6.340

What is "A" rounded to the nearest hundredth? Answer: 6.300

Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.

Hope this helps, I'm doing math too, just taking a break to help someone else out.

evaluate the expression for x=-3 Thank you
\( {x}^{2 } - 2x + 4\)

Answers

Answer: 7

Step-by-step explanation:

3 x 3 = 9 - 2(3)+4

9-6+4

=7

kingston wrote 24 words in 2/3 of a min. at this rate, how many words will he type in 3 1/2 min

Answers

Answer:

Step-by-step explanation:

Find the next three terms in each geometric sequence. -4, 16, -64, ...

Answers

Answer:

Step-by-step explanation:

Common ratio r = a₂/a₁ = 16/(-4) = -4

a₄ = a₃(-4) = 256

a₅ = a₄(-4) = -1024

a₆ = a₅(-4) = 4096

7. The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?​

7. The graph of part of linear function g is shown on the grid. Which inequality best represents the

Answers

Answer:

a

Step-by-step explanation:

Domain means the change in x.

so the domain will be which values of x the fn goes through.

you can see the black line goes from -9 to 2 in x values.

the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.

so x is between -9 and 2, 2 is with equals -9 is without,

so the first one.

The inequality best represents the domain of the part shown should be -9<x ≤2.

What is domain?

Here domain means the change in the x. Here the domain should be the values of with respect to fn. Also, here we have to watch the blank line that goes from  -9 to 2 in x values.

Since 9 should not be filled however 2 should be.

hence, The inequality best represents the domain of the part shown should be -9<x ≤2.

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Solve for x

Answer choices:
4
5
8
3
2

Solve for xAnswer choices:45832

Answers

Answer:

4

Step-by-step explanation:

You need to find XYW

<xYW = <XYZ - <WYZ

<XYW = 128 - 85

<XYW = 43

12x - 5 = 43            Add 5 to both sides

12x = 43 + 5

12x = 48                 Divide by 12

x = 48/12

x = 4

6. Use the following matrices to answer the questions. (2 points each)
5 -8
2 -6
-8
-2 3
A

B =
[4
18] c- [5 5] -
C=
9 1
03
9
1
a. Is the operation E + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
b. Is the operation B + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
c. Is the operation E. D possible? Circle YES or NO
If yes, state the dimensions of the answer:
d. Is the operation D E possible? Circle YES or NO
If yes, state the dimensions of the answer:
e. Is the operation A D possible? Circle YES or NO
If yes, state the dimensions of the answer:
1
-1 10
E
11
7 -1 0

Answers

Answer:

its a such a hard questions i think you should ask to you're teacher ?

Compare the algebraically expressed function f(x) = 1 4 x2 - 2x to the function shown in the graph to determine which statement is true. A) The algebraic function has a greater maximum value. B) The algebraic function has a lower minimum value. C) The graphed function has a greater maximum value. D) The graphed function has a lower minimum value.

Answers

The correct statement regarding the minimum value of the quadratic functions is given as follows:

D) The graphed function has a lower minimum value.

How to obtain the minimum value of the quadratic functions?

From the graph, the minimum value of the quadratic function is given as follows:

y = -8.

The algebraic function is defined as follows:

f(x) = 0.25x² - 2x.

Hence the coefficients are given as follows:

a = 0.25 and b = -2.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 2/0.5

x = 4.

Then the y-coordinate of the vertex, representing the minimum value, is given as follows:

f(4) = 0.25(4)² - 2(4)

f(4) = -4 -> meaning that the graphed function has a lower minimum value.

Missing Information

The graph is given by the image presented at the end of the answer.

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Compare the algebraically expressed function f(x) = 1 4 x2 - 2x to the function shown in the graph to

Which of the following is not possible?
A. An acute scalene triangle
B. A triangle with two acute exterior angles
C. An obtuse isosceles triangle
D. An equiangular acute triangle

Answers

Answer:

B

Step-by-step explanation:

just trust me...it's right ;)

Step-by-step explanation:

THE CORRECT ANSWER IS OPTION B.

A TRIANGLE CAN FORM IN A, C, D, BUT NOT IN B.

HOPE THIS HELPS YOU.

-7b=-56 pls answer with the work and steps

Answers

Answer:

b=8

Step-by-step explanation:

Solution steps:

-7b=-56

b=-56 / -57

b=8

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ b = 8}}}}}\)

Step-by-step explanation:

\( \sf{ - 7b = - 56}\)

divide both sides of the equation by -7

\( \sf{ \dashrightarrow\frac{ - 7b}{ - 7} = \frac{ - 56}{ - 7} }\)

Calculate

\( \dashrightarrow \sf{b = 8}\)

Hope I helped!

Best regards! :D

Gavin is making a scale replica of a tent for his social studies project. The replica is in the shape of a triangular prism. It has an isosceles triangle base with side lengths 6 inches, 5 inches, and 5 inches. The height of the triangle is 4 inches, and the depth of the tent is 7 inches. How much fabric will Gavin need to make the outside of the replica, including the "floor"?

Answers

the answer is 310 i believe

The fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in²

What is surface area?

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

Surface area of  triangular prism with isosceles triangle base is find out using the following formula,

\(A_s=[(2a+b)\times l]+2\times A_b\)

Gavin is making a scale replica of a tent for his social studies project.

The replica is in the shape of a triangular prism. It has an isosceles triangle base with side lengths 6 inches, 5 inches, and 5 inches.

The base area of the prism is,

\(A=\dfrac{1}{2}\sqrt{5^2-\dfrac{6^2}{4}}{\times6}\\A=12\rm\; in^2\)

The height of the triangle is 4 inches, and the depth of the tent is 7 inches.

Put the values in the above formula as,

\(A_s=[(2\times5+6)\times 7]+2\times12\\A_s=136\rm \; in^2\)

Thus, the fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in².

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Simplify -6+ 13 need help really badly

Answers

Answer:

7

Step-by-step explanation:

-6+13 is the same as 13-6

Which of the following equations represents a linear function?

2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4

Answers

Answer:

y equals 2/3 x plus 4 is correct.

The equation y= 1/3x  + 4 represents a linear function.

What is Linear Equation?

A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.

1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.

2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.

3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.

4. y= 1/3x  + 4 represents a linear function.

Therefore, the equation y= 1/3x  + 4 represents a linear function.

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What is the distance between (4, 6) and (5, 0)

Answers

Answer:

6 units

Step-by-step explanation:

Given data

x1=4

y1=6

x2=5

y2=0

substitute in the formula for the distance between two points

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((5-4)²+(0-6)²)

d=√((1)²+(6)²)

d=√36)

d=6

Hence the distance is 6 units

Which of the following numbers is between 2/5 and 7/8 ?
A: 15/16
B: 3/4
C: 3/8
D: 1/3

Answers

Answer:

B

Step-by-step explanation:

The required fraction lies between the numbers 2/5 and 7/8 is 3/4. Option B is correct.


Given that,
It is to be identified, which number lies between fractions 2/5 and 3/8.

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole.

Here,
2 / 5 = 0.4 and 7 / 8 = 0.875

Now,
A. 15 / 16 = 0.9375 which exceed 0.875, so it is not correct option.
B. 3/4 = 0.74 which lies between 2/5 and 7 / 8, so It is the correct option.
C.  3/8 = 0.375 which exceeds 2/5, so it is not correct option.
D. 1 /3 = 0.34 which exceeds 2/5, so it is not the correct option.

Thus, the required fraction lies between the numbers 2/5 and 7/8 is 3/4. Option B is correct.

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the difference between twice a number and a number that is 5 more than it is 3. What is the number?

Answers

Answer:

4?

Step-by-step explanation:

Answer:

2n-(n+5)=3

Step-by-step explanation:

The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?

Answers

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Please help i kinda need this fast

Please help i kinda need this fast
Please help i kinda need this fast

Answers

Answer:

the first page :

x =20

the second page :

x = 45

Step-by-step explanation:

first question

to find angle BOC subtract 110 from 180( because 180 degrees is a straight line)

angle BOC = 70 degrees

this means that the angle opposite to it is also 70 degrees ( DOA)

now to find x, add up 110, 70, 70, 90, x to get 360

110 + 70 + 70 + 90 + x = 360

x = 20

second question :

every thing adds up to 360 degrees.

90 + 5x + x = 360

6x = 270

x = 45

Which expression is equivalently to x^2 + 2x + 2?

Which expression is equivalently to x^2 + 2x + 2?

Answers

Answer:

(X-1+I)(x-1-I)

Step-by-step explanation:

Expression (x + 1 - i)(x + 1 + i) is equivalent to  x² + 2x +2.

Option (B) is correct option.

What is an algebraic expression?

Variables, integers, and a variety of mathematical procedures make up an algebraic expression.

To find the expression equivalent to x² + 2x +2,

Solve with the help of options.

(A)

(x - 1 + i)(x - 1 - i)

Solve by using formula (a + b)(a - b) = a² - b²

(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2

(B)

(x + 1 - i)(x + 1 - i)

Solve by using formula (a + b)(a - b) = a² - b²

(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2

Expression in option (B) is equivalent to x² + 2x + 2.

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Academic Advising: In 2014, the Community College Survey of Student Engagement reported that 32% of the students surveyed rarely or never use academic advising services. Since then, a local California community college that participated in the survey hired several new academic counselors and focused on outreach efforts to increase student awareness of available services. The counseling office staff then conducted a survey of 500 randomly selected students at the college, and 26% of those students said that they rarely or never use academic advising services. Campus administrators want to know whether the hiring and outreach efforts increased student use of academic advising. Which alternative hypothesis is appropriate?

Answers

Answer:

The alternative hypothesis is that the proportion of the students surveyed that rarely or never use academic advising services is less than 32% or 0.32. That is the students use of academic advising has increased.

Ha: p < 0.32

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Let p represent the proportion of the students surveyed that rarely or never use academic advising services.

The null hypothesis is that the proportion of the students surveyed that rarely or never use academic advising services is equal to 32% or 0.32.

H0: p = 0.32

The alternative hypothesis is that the proportion of the students surveyed that rarely or never use academic advising services is less than 32% or 0.32. That is the students use of academic advising has increased.

Ha: p < 0.32

(36)^x+2= 6

Solve and round to the nearest 100th

Please help I am confused and need an explanation

Answers

As the given equation is (36)ˣ⁺²  = 6 , then the solution for the given equation is x ≈ -1.54.

The given equation in the question is (36)ˣ⁺²  = 6

according to the given equation , the goal is to solve the equation for x.

For solving this equation ,

we'll have to use logarithmic operations which is as follows:  

log36(6) = x+2.

We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.

Now, By subtracting 2 from both sides, we will get the value of x as:

x ≈ -1.54.

When we round off this value to the nearest 100th, we will get  -1.54.

Thus , the solution for the given equation is x ≈ -1.54.

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During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were 75 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest thousandth.
A. 0.087
B. 0.867
C. 0.133
D. 1.154

During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were

Answers

Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B

What is Rate

Rate can be defined as comparing two or more ratio with a standard value.

The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.

The rate is given as;

rate = 65 / 75

rate = 0.867

The rate of correct answers is 0.867

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Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.

Answers

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate

Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.

Answers

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

The area of a certain desert (Desert 1) is eight times the area of another desert (Desert 2). If the sum of their areas is
27,000,000 square miles, find the area of each desert.
What is the area of Desert 1?

Answers

Answer:

1687500

Step-by-step explanation:

If their sum is 27,000,000 then their are millions of ways to find this answer. like one can be 13500000. But that answer is obviously incorrect. If you divide that by 8, your answer will be 1687500.

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Brainliest if right Solve the proportion: 1/4 = x/20 Which details from the passage represents where the theme selected in question 4 emerges?A Don Quixote prepares to face additional giants (Paragraph 12)B Sancho questions the possibility of giants (Paragraph 2)C Sancho warns Don Quixote that what he sees as giants are merely windmills (Paragraph 4)D "Now I truly believe, and it is most certainly so, that my enemy has changed these giants into windmills..." (Paragraph 10) How does the role of the German president differ from that of the British monarch? What is the default size of the array returned from the OFFSET function if the optional hight and width arguments are not provided? a. a cell b. a columnc. a rowd. the size of the reference argument 1. A glass tube filled with water is at rest on a table. Rank the pressures at points Q, R, S, T, and U from largest to smallest. Explain your reasoning. 2. A U-shaped tube (height -0.5 meter) is partly filled with water, as shown at right. The right end of the tube is closed at the top, but the left end is open to the atmosphere. There is no air between the rubber stopper and the water surface on the right-hand side. a. Rank the pressures at points W, X, Y, and Z. Explain the reasoning you used to rank the pressures. b. Is the pressure at point Z greater than, less than or equal to atmospheric pressure? Explain. No A syringe is used to remove water from the left-hand side such that the level on the left drops to point W. (Note that the water level on the right side is not shown.) no Will the water level on the right-hand side stay at point Zor drop to a point below point Z? Explain. Which scenario best describes a short-term challenge and effective strategy to manage it? Drew is pursuing the certification required to become a lifeguard. He makes a schedule of all the steps needed to fulfill the requirement and breaks them down into separate goals with target finishing dates.Fareed has just been diagnosed with type 2 diabetes, which he will battle for the rest of his life. He has consulted with a nutritionist for dietary advice and ordered multiple books on managing diabetes to learn how to keep his blood glucose levels in the healthy range. Maja is about to be a senior, and it's time to choose the best college at which to study her chosen major. She begins researching the dormitory options, campus layout, and fraternity/sororities at each college to narrow down options.Nicoletta has always dreamed of becoming a famous musician, but she is not progressing and at times it feels too challenging for her. She ditches the plans to work in the music industry at all, and instead starts researching careers in other industries. a Find integers s, t, u, v such that 1485s +952t = 690u + 539v. b 211, 307, 401, 503 are four primes. Find integers a, b, c, d such that 211a + 307b+ 401c + 503d = 0 c Find integers a, b, c such that 211a + 307b+ 401c = 0