Roy has 5 pounds of dried fruit to make snack bags. He separates each pound of dried fruit into thirds and wants to use 1 third pound for each bag. How many snack bags can he make with all of the dried fruit?

Answer:

1. It is not appropriate to use the normal curve, since np = 7.4 < 10.

2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

Binomial approximation to the normal:

The binomial approximation to the normal can be used if:

np >= 10 and n(1-p) >= 10

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.

This means, respectively, that [tex]p = 0.2, n = 37[/tex]

Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

np = 37*0.2 = 7.4 < 10

So not appropriate.

It is not appropriate to use the normal curve, since np = 7.4 < 10.

Part 2:

Now n = 82, 82*0.2 = 16.4 > 10, so ok

Mean and standard deviation:

By the Central Limit Theorem,

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{0.2*0.8}{82}} = 0.0442[/tex]

Find the probability that more than 32% of the people in this sample have high blood pressure.

This probability is 1 subtracted by the pvalue of Z when X = 0.32. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.32 - 0.2}{0.0442][/tex]

[tex]Z = 2.72[/tex]

[tex]Z = 2.72[/tex] has a pvalue of 0.9967.

1 - 0.9967 = 0.0033

The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Answer:

75

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Answer:

18 meters because the 18 meters away from kite is the same as point p

Step-by-step explanation:

Geometric sequences are of the form a * b^x, where a and b are real constants.

We have a * b⁴ = 234 and a * b⁶ = 104.

Dividing the second equation by the first,

we get b² = 4/9, so b = 2/3.

When x = 4, a * b⁴ = 234.

=> a * (2/3)⁴ = 234, a = 1184.625

Hence the explicit rule

is a(n) = 1184.625 * (2/3)^n.

Answer:

Hence the explicit rule is a(n) 1184.625 *(2/3)^n.

My calculator says 97.5

Answer:

195/2

Step-by-step explanation:

60/8=15/2

15/2*13=195/2

Answer:

48

Step-by-step explanation:

round off 3.8 to 4 and 11.9 to 12 and multiply the values

Answer:

A =224 in ^3

Step-by-step explanation:

Answer:

56in squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

8/3

According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70

If x - a is a factor of a function f(x), then f(a) = 0

For x - 7 to be a factor of f(x), f(7) must be equal to zero.

For f(x) = x³ - 16x² + 53x+ 70

f(7) = 7³ - 16(7²) + 53(7) + 70

f(7) = 343 - 16(49) + 53(7) + 70

f(7) = 343 - 784 + 371 + 70

f(7) = 0

Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70

Learn more here: https://brainly.com/question/19273656

Answer:

5. 1/4, 4/16

6. 4/5, 16/20

7. 1/3, 6/18

8. 2/9, 4/18

9. 1/3, 3/9

Step-by-step explanation:

Hope that helps!

Answer:

0.9 miles per member

Step-by-step explanation:

Total distance = 9 miles

Number of members = 10

If they are to carry the food back for an equal distance, we have to fin

Distance covered by a person with the food pack = Total distance / Number of members

Distance covered by a person with the food pack = 9 / 10 = 0.9 miles per member

answer:

Step-by-step explanation:

1250 plus 0.25 equals 1250.25 plus 1250.25 plus 3200 equals 4450.25 plus 0.10 equals 4450.35

Given:

Height of the cylinder = 21 ft

Dimeter of the cylinder = 10 ft

To find:

The volume of the cylinder.

Solution:

We have,

Dimeter of the cylinder = 10 ft

So, radius is half of diameter, i.e., 5 ft.

Volume of the cylinder is

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height.

Putting [tex]\pi=3.14[/tex], r=5 and h=21, we get

[tex]V=(3.14)(5)^2(21)[/tex]

[tex]V=(3.14)(25)(21)[/tex]

[tex]V=1648.5[/tex]

Therefore, the volume of the cylinder is 1648.5 cubic ft.

The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,

x + 6 = -0.5x + 3

Simplifying and solving for x, we get:

1.5x = -3

x = -2

Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,

y = x + 6

y = -2 + 6

y = 4

Therefore, the solution to the system of equations is (x, y) = (-2, 4).

Learn more about simultaneous equations here:

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Answer:

Step-by-step explanation:

4+2t=18

2t=14

t=7 hours

Answer:

7.00 hours

Step-by-step explanation:

They already did 4 problems and need to do 18 problems in total.

18 - 4 = 14 problems

2 problems/ per hour

14 problems/ 7 hours

It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.

Answer:

The answer is D- A(x)=25+10x

Step-by-step explanation:

I cant really explain how i got the answer but i got it right

The function A(x) has greater value then F(x) for x = 2.5.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one.

Given are two functions of [x] as follows -

F(x) = 80 - 15x

A(x) = 25 + 10x

We have the following functions -

F(x) = 80 - 15x

A(x) = 25 + 10x

Now, we will evaluate each function at x = 2.5.

F(2.5) = 80 - 15 x 2.5 = 42.5

and

A(2.5) = 25 + 10 x 2.5 = 50

It can be seen that A(2.5) > F(2.5)

So, the function A(x) has greater value then F(x) at x = 2.5

Therefore, the function A(x) has greater value then F(x) for x = 2.5.

To solve more questions on Evaluating functions, visit the link below-

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Answer:

0.75 is greater

Step-by-step explanation:

1/4=0,25 and 0.75  is greater than 0,25

Answer:

supplementary

Step-by-step explanation:

135 + 45 = 180

supplementary angle ALWAYS add up to  180.

Answer:

26

Step-by-step explanation:

30-4=26

thirty minus four equal 26

Answer:

Step-by-step explanation:

a.

area of one face=3²=9 units²

b.

whole surface area=6×3²=6×9=54 units²

Answer:

5g-4/4your answer right answer

Step-by-step explanation:

we have to find value of g ????

Answer:

Angle 1 = 22°

Angle 2 = 68°

Angle 3 = 68°

Angle 4 = 90°

Step-by-step explanation:

It is a rhombus by the definition:

A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°.

The properties of rhombus is:

(1) Opposite angles are equal

(2) All sides are equal and, opposite sides are parallel to each other

(3) Diagonals bisect each other perpendicularly

(4) Sum of any two adjacent angles is 180°

By property (3):

Angle 4 = 90°

By (1) and properties of isosceles triangle in the top right triangle:

Angle 2 = Angle 3 = 68°

In the top triangle:

Angle 1 + Angle 2 + 90° = 180° (Angle sum of triangle)

Angle 1 = 22°

Answer:

$1.8

$2.25

$0.45

Step-by-step explanation:

a)

Unit Price = Cost/Volume

= 9/5

= $1.8/Kg for the 5Kg

4.5/2

= $2.25/Kg for the 2Kg

b)

($2.25-$1.8) per kg

= $0.45

Answer: $1166.91

Step-by-step explanation:

The following can be deduced from the question:

Average cost of an accident = $14,886.05

Probability of a driver getting into an accident = 7.1% = 7.1/100 = 0.071.

Overhead cost for insurance = $110

Therefore, the expected cost of an accident will be calculated as:

= Average cost of an accident × Probability of a driver getting into an accident

= $14,886.05 × 0.071

= $1056.91

Therefore, the driver's insurance premium will then be:

= $1056.91 + $110

= $1166.91

Answer:

the answer is 12! good luck!:)

Answer:The answer is (b) 12

Step-by-step explanation:

Hi, this is basically  a simple addition series, and each number increases by 2. The  First number is 2 Second number = 2 + 2 =4 Third number = 4 + 2 = 6 Fourth number = 6 + 2 = 8 Fifth number = 8 + 2 = 10  and Sixth number = 10 + 2 = 12 .

Hope this helps!

Answer:

its C

Step-by-step explanation:

ik

Answer:

D

Step-by-step explanation:

Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)

Answer:

C

Hope that helps!

Step-by-step explanation:

Answer:

number 8 is D) 78.7 in.

and number 9 is C) 63°

hope these are the answers you are looking for

Step-by-step explanation:

Answer:

0.0000308

Step-by-step explanation:

there are 5 places that it has moved from.