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3. Find the length of the segment indicated. Round to
the nearest tenth if necessary.
5
3
5
X

Answer:

1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces

2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal 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.

A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.

This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]

1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?

This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So

X = 8.02

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

[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 7.76

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

[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a pvalue of 0.2578

0.5 - 0.2578 = 0.2422

0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.

2. What is the probability that a hamburger selected at random with less than 7.52 ounces?

This is the pvalue of Z when X = 7.52. So

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

[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1056

0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.

Answer:

75

Step-by-step explanation:

alternate interior angles are always equal, so that means 6 = 4 = 75.

Answer:

If that number is 211, then any value below -26 will work

Answer:

x= -1/3 and -2

I have made it in above picture

Answer:

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.

This means, respectively, that [tex]k = 5, N = 18[/tex].

9 vessels are randomly targeted and destroyed

This means that [tex]n = 9[/tex]

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]

[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Answer:

Wheres the statements?

Step-by-step explanation:

Answer:

Consecutive angles are supplementary is not character of parallelograms

Answer:

4a

Step-by-step explanation:

Greatest Common Factor is the largest number that the two terms can be divided by

The largest number that these could be divided by is 4a

12a/4a=3

16ab/4a=4b

4a(3+4b)

Answer:

C

Step-by-step explanation:

I took the quiz and got it right

The common ratio of the geometric sequence is r = 2.5

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the terms of the GP be represented as A

Now , A = 1 , 2.5 , 6.25

where the common ratio = second term / first term

On simplifying , we get

r = 2.5 / 1

r = 2.5

Hence , the common ratio is r = 2.5

To learn more about geometric progression click :

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Answer

8.6

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:I took the test

Answer: I got 50x+$75 but I’m not too sure for the last step

Step-by-step explanation:

Answer:

y=50x+75

Step-by-step explanation:

y=125=225-125 Divide 3-1 (x-1)

y-125=50(x-1)

y=50x-50+125

y=50x+75

Answer:

Creo que $1,280

Step-by-step explanation:

12,000+800=12,800

12,800 x 10% =1,280

Answer:

C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95

Answer:

2 1/3 acres per hour

Step-by-step explanation:

If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.

The consecutive angles in a parallelogram are supplementary

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , In a parallelogram, consecutive angles are always supplementary, which means the sum of two consecutive angles is always 180 degrees

This property holds true for all parallelograms

Hence , the consecutive angles are supplementary

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Answer:

Answer is in the photo so you have so look in this give wribsite

Answer:

{20, 0}.

Step-by-step explanation:

Answer:uhmmmmm

Step-by-step explanation:

Answer:

B=9in

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]

Answer:

your answer would be 9 in.

Step-by-step explanation:

I hope this makes your day a bit easier!!

Answer: its B or D

Step-by-step explanation: please tell if im wrong

The temperature started at 15 degrees.

It dropped 25 degrees.

Subtract 25 from 15:

15 - 25 = -10

The temperature was -10 degrees.

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

just get everything but the h to the other side

divide by b1 + b2

1/2h = A/b1 + b2

then multiply by 2

h = 2A/b1 + b2

Answer:

Answer = 52

5+47= 52

done

Answer:

Answer:

7 and half

Explanation:

cuz if the two lemin fill two then one will fill 50ml ,

then,7×50=350 the remaining is 25 ml which is half of 50 ml so this is half of one lemon.so the answer is 7 and half

Answer:

7 and a half

Step-by-step explanation:

2 lemons=100 ml

?=375 ml

Cross multiplication to get ? which will bring

(375×2)÷ 100 giving 7 ½

Answer:

your answer will be 127.17 sq in

Step-by-step explanation:

hope it helps you

have a wonderful day!!!

Answer:

=127.23

Step-by-step explanation:

we can start of by finding the area of a CIRCLE

18/2=9

9=radius

area of circle= pi*r squared

9 squared=81*pi=254.4690

Now we can half the area of the circle to find out the area of the semi circle as a semi circle is just half a circle therefore half the area of a circle

254.469/2=127.2345

127.2345=127.23

=127.23

Hope this helped

Answer: A=22^2

Step-by-step explanation: Hope this helps

Answer:

EF = 3.3 ft

Step-by-step explanation:

cos 6 = 3.3/EF

0.9945 = 3.3/EF

EF = 3.32 ft