The weights of healthy adult male Labrador Retrievers are approximately Normally distributed with a mean of 77 pounds and a standard deviation of 6 pounds

A)Make an accurate sketch of the weights of Labrador Retrievers with the horizontal axis marked

B)What weight would represent the 25th percentile?

C)What weight would represent the 75th percentile?

D) What is the interquartile range of male Labrador weights?

E)What proportion of male adult Labrador retrievers weigh above 85 pounds?

F) What proportion of male adult Labrador retrievers weigh between 60 and 80 pounds?

G) What proportion of male adult Labrador retrievers weigh less than 65 pounds?

Answer:the photo is for part A.

B) the weight would be Invnorm(.25,77,6)=72.95

C)the weight would be 81.04 but this is the work invnorm(.75,77,6)=81.04

D)IQR=Q3-Q1

81.04-72.95=8.09

E)9.12 is the answer the work normalcdf(85,1000,77,6)=.0912

F).6892 or 68.92% are the answers the work normalcdf(60,80,77,6)=.6892

G).0227 or 2.27% is the answer and the work normalcdf(0,65,77,6)=.0227

Step-by-step explanation:

Using the normal distribution, we have that:

----------------------

Problems of normal distribution can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

----------------------

----------------------

Item b:

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

[tex]-0.675 = \frac{X - 77}{6}[/tex]

[tex]X - 77 = -0.675(6)[/tex]

[tex]X = 72.95[/tex]

A weight of 72.95 pounds would represent the 25th percentile.

----------------------

Item c:

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

[tex]0.675 = \frac{X - 77}{6}[/tex]

[tex]X - 77 = 0.675(6)[/tex]

[tex]X = 81.05[/tex]

A weight of 81.05 pounds would represent the 75th percentile.

----------------------

Item d:

The interquartile range is the difference between the 75th and the 25 percentile, thus:

[tex]81.05 - 72.95 = 8.1[/tex]

The interquartile range is of 8.1 pounds.

----------------------

Item e:

The proportion is 1 subtracted by the p-value of Z when X = 85, thus:

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

[tex]Z = \frac{85 - 77}{6}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a p-value of 0.9082.

1 - 0.9082 = 0.0918.

0.0918 = 9.18% of male adult Labrador retrievers weigh above 85 pounds.

----------------------

Item f:

The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 60, thus:

X = 80:

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

[tex]Z = \frac{80 - 77}{6}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

X = 60:

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

[tex]Z = \frac{60 - 77}{6}[/tex]

[tex]Z = -2.83[/tex]

[tex]Z = -2.83[/tex] has a p-value of 0.0023.

0.6915 - 0.0023 = 0.6892.

0.6892 = 68.92% of male adult Labrador retrievers weigh between 60 and 80 pounds.

----------------------

Item g:

This proportion is the p-value of Z when X = 65, thus:

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

[tex]Z = \frac{65 - 77}{6}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.0228 = 2.28% of male adult Labrador retrievers weigh less than 65 pounds.

A similar problem is given at https://brainly.com/question/21628677

There were 26 balloon in the party room, 12 red and 14 blue. Half of the blue balloon
popped. How many balloons are left?

I will mark brainest if you get it right.
1. x + 20 = 5x +4
x=

Melanie uses the ordered pairs(2010,48) and (2013,59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0,48) and (3,59) to find her equation. How will the two girl's equations compare?

En 1987 se construyeron 24 933 escuelas primarias en Japón y 75 184 en México ¿Cuántas escuelas más se construyeron en México?

Can someone help me solve this plz​

Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!

Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

what is the slope of the line that contains the points (8,5) and (-9,5)

Please help me with number 9 ASAP

Mary has $20 to spend. She buys lunch for $14 and spends the rest on banana biscuits. Each banana biscuit costs $3. How many banana biscuits did she buy?

i need help with this please

What is the formula for pie

What is the answer?❤️

Tyler and his friends ate 2/3 of a cheese pizza and 1/2 of a mushroom pizza. How much pizza did they eat all together. (I NEED THE ANSWER )

Ray Flagg took out a​ 60-month fixed installment loan of​ $12,000 to open a new pet store. He paid no money down and began making monthly payments of

​$221.

​Ray's business does better than expected and instead of making his

30th

​payment, Ray wishes to repay his loan in full. Complete parts ​a) through

​c).

Is the shape below a rhombus, rectangle, or both? Explain.

Josh has a piggy bank filled with coins. The number of dimes is three times the number of nickels. The number of nickels is five more than the number of pennies. There are the same amount of pennies and quarters. The total value of all of the coins is $7.85. Find the number of each type of coin Josh has.

Evaluate if k = 39 and j = -10

The area of a rectangular patio is 14 5/ 8 square meters. The width of the patio is 3 1/4 meters. What is the length? Enter your answer as a mixed number in simplest form. The length of the patio is meters.

PLEASE HELP ME!!!!!!!!!!!!!!!!!
Segment AC and segment DB are diagonals of parallelogram ABCD. Find each measure below.



AE=

EC=

DE=

EB=

A veterinary technician earn $14 per hour. He is paid double for any hours over 40 hours per week. If he works 52 hours in a week, what is his gross pay

Delta Company produces a single product. The cost of producing and selling a single unit of this product at the company's normal activity level of 88,800 units per year is: Direct materials $ 1.50 Direct labor $ 3.00 Variable manufacturing overhead $ 0.50 Fixed manufacturing overhead $ 4.45 Variable selling and administrative expenses $ 1.30 Fixed selling and administrative expenses $ 2.00 The normal selling price is $21.00 per unit. The company's capacity is 112,800 units per year. An order has been received from a mail-order house for 2,000 units at a special price of $18.00 per unit. This order would not affect regular sales or the company's total fixed costs

A can of mixed nuts holds 18 ounces of cashews and 24 ounces of peanuts. What is the ratio of peanuts to cashews in this can of nuts?

What is the mass of an object that has a density of 8 g/cm3 and a volume of 64 cm3

without solving the given systems explain if they are equivalent or not .Explain why or why not.

1)
[tex]x + 4y = 4 \\ 2x - 3y = - 3[/tex]
2)
[tex]3x + y = 1 \\ 4x + 16y = 4[/tex]
​

30 PTS!! URGENT JUST 3 QUESTIONS PLEASE
1. Fred bags groceries at Wegmans. On average, he fills 21 bags for every three customers. Represent the total bags Fred filled based on the number of customers

2. What does the average rate of change represent?
A. For every seven customers, Fred fills 1 bag of groceries.
B. For every customer, Fred fills 7 bags of groceries.
C. undetermined
D. not enough information

3. What is Fred’s average rate of change?
A. 1/7
B. 1
C. 7
D. undetermined

What is the y-intercept of the equation: 3x + 6y = 42 *

Which figure must have four right angles?

how many times can 90 go into 518

a recipe uses 2 cups of milk per (1) serving. How many servings can be made by using 1 gallon of milk?