Among Americans, 15% have a food allergy. A random sample of 11 Americans is selected.


a. Find the probability that more than 3 have a food allergy.


b. Find the expected value.


c. Find the standard deviation (rounded to 2 decimal places.)


Please make sure to answer thoroughly and explain step by step.
Thanks!

Answers

Answer 1

Answer:

A

Step-by-step explanation:

because it makes the most sense


Related Questions

1. How can you find the area of a circle?

Answers

Answer: by using the formula (pi)r^2

Step-by-step explanation:

the r stands for radius

Reflecting shape A in y = -x line.

Answers

Answer:

given this points

Step-by-step explanation:

-5,2

-8,2

-5, 3

all reflected across the x axis making the y values stay the same for no vertical shifts

Why is there a 1/2 in this formula for the area of a trapezoid?

Answers

A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2

500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.

If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?

Answers

Answer:

40 degrees is (40/360)=0.111=11.1%

The color closest to 11.1% is Purple at 12%.

The total who prefer a rainbow color is:

13+4+5+15+16+12=65

Of this 65, 13 prefer red, so 13/65=0.20,

of the people who preferred a rainbow color,

20% preferred red.

Step-by-step explanation:

The percentage of those people who preferred red is 20%.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).

This means,

Total percentage.

= (13 + 4 + 5 + 15 + 16 + 12)

= 65%

Now,

The percentage of those people preferred red.

= 13%/65% x 100 %

= 13/65 x 100

= 20%

Thus,

The percentage of those people who preferred red is 20%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

(PLS HELP MY TEACHER WANTS ME TO PASS THIS!) Which line on the graph is the image of the line y = 2x after a transition of 3 units along the x-axis and 4 units along the y-axis?


Line A

Line B

Line C

Line D

Answers

The answer is line a

Line y=2x ==> No matter what value Y gets, X is always half of it

But X was transitioned by 3 units and Y by 4, so let's pull them back down

==> y-4 = 2x-3

Upon verifying each of the lines with y = 6:

A. 6-4 = -4-3 ==> 2 = -7. A falls

B. 6-4 = 4-3 ==> 2 = 1. B falls, but this one's the closest to truth

C. 6-4 = 8-3 ==> 2 = 5. C and D will obviously fail because X is so far ahead.

Out of testing, B is the only correct answer, despite the answers being close instead of true

help me please thank u

Answers

Answer:

[tex]225 {m}^{3} [/tex]

Step-by-step explanation:

To find the volume of the shape first we have to split the shape into two rectangles; a large one at the bottom and a small one at the top. The formula to find volume of a rectangle is

[tex]v = length \times width \times height[/tex]

note that after both volumes are found they should be added to determine the volume of the entire shape*

The length of the large rectangle is 5m, the width is 7m, and the height is 6m. Therefore the volume is

[tex]v = l \times w \times h \\ v = 5 \times 7 \times 6 \\ v = 210 {m}^{3} [/tex]

The length of the small rectangle is 5m, the width is 3m, and the height is 1m. Therefore the volume is

[tex]v = l \times w \times h \\ v = 5 \times 3 \times 1 \\ v = 15 {m}^{3} [/tex]

[tex]210 {m}^{3} + 15 {m}^{3} = 225 {m}^{3} \\ therefore \: the \: volume \: of \: the \: \\ entire \: shape \: is: \\ 225 {m}^{3} [/tex]

Answer:

[tex]V_{\ total}=225\ m^3[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the big box

[tex]V_{\ big} = l * w * h[/tex]

[tex]V_{\ big} = 7\ m * 5\ m * 6\ m[/tex]

[tex]V_{\ big} = 210\ m^3[/tex]

Step 2:  Find the volume of the small box

[tex]V_{\ small} = l * w * h[/tex]

[tex]V_{\ small} = 3\ m * 5\ m * (7\ m - 6\ m)[/tex]

[tex]V_{\ small} = 3\ m * 5\ m * 1\ m[/tex]

[tex]V_{\ small} = 15\ m^3[/tex]

Step 3:  Combine the volumes

[tex]V_{\ total}=V_{\ big} + V_{\ small}[/tex]

[tex]V_{\ total}=210\ m^3 + 15\ m^3[/tex]

[tex]V_{\ total}=225\ m^3[/tex]

Answer: [tex]V_{\ total}=225\ m^3[/tex]

PLSSS HELP ME GIVE BRANLIEST!!!

What is the mean of the data set shown below?

{5, 5, 5, 10, 10, 15, 15, 20, 25, 30, 35, 40, 40, 45, 50, 50}


A. 5

B. 22.5

C. 25

D. 45

Answers

Answer:

the mean of this data set is 25, so letter c is correct

The mean of the data is 25


Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 70 feet. His back yard has a length of 10 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase?

Answers

The first thing we must do for this case is to calculate the area of both yards.

We have then:

front yard:

A1 = (50) * (80)

A1 = 4000 feet ^ 2

Back yard:

A2 = (10) * (30)

A2 = 300 feet ^ 2

"Jayden wants to lay sod on his front yard and on half of his back yard"

Then, the total amount will be:

A = A1 + (1/2) A2

Substituting:

A = 4000 + (1/2) (300)

A = 4000 + 150

A = 4150 feet ^ 2

Answer:

jayden needs to purchase 4150 square feet of sodd

Answer:

Its an area equation. Area is length times width.

So to start, he needs 50 x 80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.

Now for the easy part. Take the 4000 and add 200. Answer? 4,200.

4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.
x^{2}=-3 y

Answers

Answer:

vertex - (0,0)

focus - (0, 3/4)

directrix - 3/4

parabola- x^2=-3y

graph of equation:

can you guys help me please the options or 6 or 10 or 12 please

Answers

Answer:6

Step-by-step explanation: if you take the width of the box (30cm) and the book's width (15cm) you can quickly tell there can be two stacks because 15 +15 is 30. now take the height of the book (6cm) how many times can it go into the height of the box (20cm) 3. so 2 stacks of three is 6.

12 so essentially you want to

How do I do this? Can somebody answer and explain?

Answers

A) multiple the 3 x 4 and add 1.
3 x 4 = 12 + 1 = 13
13/3

B) (7 x 3) + 2 = 23/3

C) (4 x 2) + 1 = 9/2

D) (2 x 8) + 7 = 23/8

How to make Mixed fractions into Improper Fractions?

Easy!

What you do is, you multiply the denominator with the whole number, then add the result of multiplying the denominator with the whole number to the numerator, and then, when you have that result, you put that result as your new numerator, and the denominator remains same from the Mixed fraction.

Look at picture

Answers to your questions:

1) [tex]3\frac{1}4}[/tex]

[tex]= 4*3=12\\=12+1=13\\\\=\frac{13}{4}[/tex]

2) [tex]7\frac{2}{3}[/tex]

[tex]=3*7=21\\=21+2=23\\\\=\frac{23}{3}[/tex]

3) [tex]4\frac{1}{2}[/tex]

[tex]=2*4=8\\=8+1=9\\\\=\frac{9}{2}[/tex]

4) [tex]2\frac{7}{8}[/tex]

[tex]=8*2=16\\=16+7=23\\\\=\frac{23}{8}[/tex]

Here are your answers!

Have a great day!

:D

Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table.
calories: 25, 50, ?, ?
servings: 1/3, ? 1, 4/3

Answers

Calories increase by 25 each.
25, 50, ?, ? = 25, 50, 75, 100

Servings increase by 1/3 each. (1 = 3/3)

1/3, 2/3, 1, 4/3

ok 50 points and brainly come on.

Answers

Answer: 30 Units

Step-by-step explanation: If you count the units surrounding the rectangle this is how many there are

Pls help me givving brainliest also NOOOO LINKSSSSSSSS

Answers

Answer is 30.

5•12= 60 ÷ ½ or 0.5 = 30.
1/2*l*w
1/2*12*5
Answer- 30

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

1/3

Step-by-step explanation:

From the given diagram of the spinner, we can infer that blue occupies 1/3 of the space and green occupies the remaining space.

Hence, the probability of spinning blue :

1/3

Answer:

1/3

Step-by-step explanation:

The blue one occupied one-third of the spinner, means when it got divided into three parts, the blue get one of them.

Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.

(OPTIONS FOR CHOOSE (IN ORDER))
(Q1) Reasonably Close To/Very Different From
(Q2) True/False
(Q3) 0.50/0.60/0.70

Answers

Answer:

1. The relative frequency of heads is (A) reasonably close to 40%.

2. Mr. Clark's claim about the theoretical probability is likely to be (A) True.

3. This means that the theoretical probability of tails is most likely 0.6 for this coin.

( I also had this question before)

Answer: I think the answers are

(Q1) is A (Q2) is A and (Q3) is B

Step-by-step explanation: A for the first question because the Law of probability says: If you run a shorter trial then you get biased results but run a more extended trial you get unbiased results and his results would have to be true also the relative frequency is 0.6

PLEASE MARK AS BRAINLYEST IF YOU CAN

What is the value of x? image below

Answers

Answer:

Angle x = 72

Step-by-step explanation:

Angle AHI = Angle HIK = 63

(This is because the two angles are corresponding angles, HI//JK)

Angle x = 180 - 63 - 45

             = 72

Angle HJK is given and is 63 degrees, then angle HJK is a number added to 63 that makes 180 degrees. Angle HJK is 117. That means angle AHI is a number plus 117 = 180. Angle AHI is 63.
A triangle makes 180 degrees total no matter what so if we have two angle measures we can add them and subtract from 180. 63 + 45 = 108. 180-108= 72 degrees :)

ill give brainly but hurry.

Answers

Answer:

114

Step-by-step explanation:

Answer:

144 square inches

Step-by-step explanation:

Both of the triangles' areas (32 inches squared each) added to the area of the center rectangle (80 inches squared) is equal to:

32+32+80 = 144

39. If two dice are tossed, find the probability that the sum is greater than 5.

Answers

Answer:

11.11%

Step-by-step explanation:

i dont know man i just looked it up but here you go

hurry illgive brainlt
Which ratios are equivalent to the given ratio?

3 to 2

Select each correct answer.


1510

23

4:12

6 to 4

18:12

Answers

The answers would be A, D, E
Solution:
18:12

6:4

(And if the first one is 15:10 then yes, but if it’s just a whole number which is 1510 then no)

Please help me with this I would give you 50 points. Mrs. Hall's sixth-graders walk laps every day on the school track. the following are the numbers of laps the class competed in that lasted 12 weeks

15,18,20,20,10,22,14,7,18,19,15,23

create a box plot of the data.

Answers

Answer:

Refer to image below

Step-by-step explanation:

Will name you the brainleyest!

Answers

Answer:

581,100

Step-by-step explanation:

please help!

A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton’s sixth-grade class. The results are shown in the dot plot below.



a) Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.

b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.


c) Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure.

d) Which is a better measure of spread: range or interquartile range? Why?

e) What does the value of the mean absolute deviation tell you about the spread of the data?

Answers

Answer:

B

Step-by-step explanation:

the answer is B step by step explanation

Jane arranged 99 chairs in 6 rows as evenly as possible.
(a) How many rows had exactly 16 chairs?
(b) How many rows had 17 chairs?

[A] (a) 3 rows [B] (a) 5 rows [C] (a) 6 rows [D] (a) 3 rows
(b) 2 rows (b) 3 rows (b) 2 rows (b) 3 rows

Answers

(C)a)6

i didnt know how to do b

Step-by-step explanation:

it is bcz 99÷16 is 6

Answer:

(a) 3 rows had 16 chairs.

(b) 3 rows had 17 chairs.

Explanation:

There must be 6 rows, which is constant.

Make equation's:

1st equation: 16p + 17w = 99

2nd equation: w + p = 6, w = 6 - p

Solve by substitution:

⇒ 16p + 17(6 - p) = 99

⇒ 16p + 102 - 17p = 99

⇒ -p = -3

⇒ p = 3

Then find w, w = 6 - p = 6 - 3 = 3

Hence, there is 3 rows of 16 chairs and 3 rows of 17 chairs.

Try to match match and confirm the answer:

17 × 3 + 16 × 3 = 99 chairs in 6 rows

Find the surface area of the pyramids

Answers

first one:

The surface area of a pyramid can be found using the formula:

Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area

Since the side lengths of the base are equal, the perimeter of the base is:

Perimeter of Base = 4 x Side Length

Perimeter of Base = 4 x 9 = 36 feet

To find the slant height, we can use the Pythagorean theorem:

Slant Height^2 = Height^2 + (1/2 x Side Length)^2

Slant Height^2 = 12^2 + (1/2 x 9)^2

Slant Height^2 = 144 + 20.25

Slant Height^2 = 164.25

Slant Height = 12.81 feet

The base area can be found using the formula for the area of a square:

Base Area = Side Length^2

Base Area = 9^2 = 81 square feet

Plugging in the values into the formula for surface area:

Surface Area = (1/2) x 36 x 12.81 + 81

Surface Area = 218.16 square feet

So the surface area of the pyramid is 218.16 square feet.

second one:

The surface area of a pyramid can be found using the formula:

Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area

Since the side lengths of the base are equal, the perimeter of the base is:

Perimeter of Base = 4 x Side Length

Perimeter of Base = 4 x 8 = 32 meters

To find the slant height, we can use the Pythagorean theorem:

Slant Height^2 = Height^2 + (1/2 x (Side Length1 + Side Length2))^2

Slant Height^2 = 3.5^2 + (1/2 x (8 + 4))^2

Slant Height^2 = 12.25 + 36

Slant Height^2 = 48.25

Slant Height = 6.94 meters

The base area can be found using the formula for the area of a square:

Base Area = Side Length^2

Base Area = 8^2 = 64 square meters

Plugging in the values into the formula for surface area:

Surface Area = (1/2) x 32 x 6.94 + 64

Surface Area = 107.52 square meters

So the surface area of the pyramid is 107.52 square meters.

16. In a sequence of five integers, the third integer is the sum of the previous two, the fourth integer is the sum of the previous three, and the fifth integer is the sum of the previous four. If the sum of the five integers is 248 , what is the third integer in the sequence?

Answers

Answer: a > b > cand a + b + c = 3/2

Step-by-step explanation:

1. The diameter of a circle is 36 centimeters. Find the radius. (Section 13.1)

Answers

36/2=18
18 would be your answer the radius is half of the diameter

do yall know the answer to (3x+4)(x-2)

Answers

If it’s simplify it’s 3x^2-2x-8
the answer is… 3x^2 - 2x - 8

ASAP VERY URGENT
(I will give brainliest for most accurate answer) move the options to the blank to complete the series of transformations that will show triangle abc - def

Answers

Top is “.5”
bottom is “right” “11”
.5 and then 11 is your answer

Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she go bowling in the summer?**Just write the number

Answers

Answer: She went [tex]11[/tex] times during the summer.

Step-by-step explanation:

If Louisa's savings change by [tex]-6[/tex] each time she goes bowling and it went to [tex]-66[/tex], that means that Louisa went another [tex]11[/tex] times.

[tex]\frac{1}{11}[/tex]

So therefore your answer would be 11.

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