A particular fruit's weights are normally distributed, with a mean of 720 grams and a standard deviation of 38 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram.

Answers

Answer 1

Answer: The heaviest 19% of fruits weigh more than 753grams.

Step-by-step explanation:

Let X = fruit's weights that are normally distributed.

Given: [tex]\mu=720,\ \ \ \sigma=38[/tex]

To find : x such that P(X>x)=19%

i.e. P(X<x) = 81%  [100%-19%=81%]

i.e. P(X<x) = 0.81

[tex]P(\dfrac{X-\mu}{\sigma}<\dfrac{x-720}{38})=0.81[/tex]

Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex] and from z-table the z value for p-value of 0.81 (one -tailed) = 0.8779

[tex]\dfrac{x-720}{38}=0.8779\\\\\Rightarrow\ x-720 =38\times0.8779\\\\\Rightarrow\ x-720 =33.36\\\\\Rightarrow\ x = 33.36+720=753.36\approx753[/tex]

Hence, the heaviest 19% of fruits weigh more than 753grams.


Related Questions

An elevator descends at a constant speed. What is the
change in elevation after 19 seconds?
Time
(Sec.)
1
6
10
12
Elevator Descent
Change in Elevation
(Meters)
-2.25
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Answers

Answer:

-42.75 meters

Step-by-step explanation:

How can you represent a rate with 100 as the whole?

Please need help

Answers

Answer:

How to Calculate a Rate. "Rate" simply means the number of things per some other number, usually 100 or 1,000 or some other multiple of 10. A percentage is a rate per 100. Infant mortality rates are calculated per 1,000.

Step-by-step explanation:

If 4 adult elephants eat 320 pounds of food, how many ounces of food should the zookeeper purchase?

Answers

Answer:

Step-by-step explanation:

I’ll mark brainliest

Answers

Answer:

i think $23.40

Step-by-step explanation:

if she used it for 20 mins then that would be 0.08*20=1.60

25-1.60=23.40

hope this helps :3

sorry if im wrong

Write the sentence as an inequality.
A number b divided by -14 is less than -25.

Answers

Answer:

b ÷ -14 < -25

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

times 6

Charlie has two guppies, Milly and Billy. Milly measures 1.71 centimeters and Billy measures 2.58 centimeters. How much larger is Billy than Milly?

Question 2 options:

1.89 cm


4.4118 cm


4.29 cm


0.87 cm

Answers

Answer:

0.87

Step-by-step explanation:

Help please I need the answer ASAP

Answers

Answer:

j

Step-by-step explanation:

What values of B make the equation 7+4-2-B=13-9 true?​

Answers

Answer:

B=5

Step-by-step explanation:

7+4-2-B=13-9

9-B=4

-B=-5

B=5

In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false

Answers

Answer:

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

Step-by-step explanation:

Solution:

In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.

The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.

The F test for overall significance has two hypotheses:

1- Null hypothesis:

                              The fit of the intercept only model and your model are equal.

2- Alternative hypothesis:

                               The fit of the intercept-only model is significantly reduced compared to your model.

Compare p-value for the F test,

If the p-value is less than the significance level, the sample data provide sufficient evidence  that the regression model fits the data better with no independent variable.

Taylor buys dog food for $1.25 a pound. How much will he pay for 8.6 pounds of dog?

Answers

Answer:

Taylor will pay $10.75

Step-by-step explanation:

If 1.25 PER/for each/for one pound that means you would multiply. So the equation is 8.6 x 1.25 = 10.75

Hope that helps and have a great day!

Answer:

10.75

Step-by-step explanation: 1.25 times 8.6 is 10.75 so that is the answer.

3 ÷ 6/7 i really need help! i will give you brainliest pls HELP​

Answers

Answer:

7/2

Step-by-step explanation:

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

3.5

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

Area model for 925÷25=c

Answers

The answer is 37.. :)

Find slope : (7,17) (9,1)​

Answers

Answer:

7/17 and 1/9 0r 9/1

Step-by-step explanation:

Answer: m= -8

Step-by-step explanation:

m = 1-17

      9-7

m = -16/2 = -8

m=-8

The lines y = 3x + 4 and y = 3x - 17 are perpendicular

Answers

Answer: No

Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

Determine the x- and y-intercepts of the graph of x−4y=8 . HURRY!!!

Answers

the answer in point-slope form is y = 1/4x-2 so your y-intercept is -2 and from there, move up one and right four. your points would be (0, -2) and (4, -1)

hope this helped! :)

Graph the function.
y=-1/2(x+2)^2+3

Answers

Hope this is helpful… Also if you have trouble graphing there is a website called desmos, it is really helpful and I really do recommend it.

who ever answers first i will give brainily!!!!

Answers

Answer:

85

Step-by-step explanation:

Answer:

30$*3=90$ - its the answer

Step-by-step explanation:

To get the answer we can first divide 60 by 2 to see how much cost 5 burgers. Then we have to multiply that result times 3 to get the answer.

60:2=30$ ----- 5 burgers.

30$*3=90$ - its the answer

Which fraction is not equivalent to 9/12

Answers

Answer:

the second one :)

Step-by-step explanation:

Answer:

16/24

Step-by-step explanation:

Question 9/12 is equivalent to 3/4

15/20 is equivalent to 3/4

24/32 is equivalent to 3/4

6/8 is equivalent to 3/4

But 16/24 is equivalent to 2/3, not 3/4.

Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?

a) 44.3 yd.
b) 63.4 yd.
c) 73.2 yd.
d) 89.7 yd.

Answers

B hope the helps you

Answer:

B. 63.4 yards.

Step-by-step explanation:

To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.

PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927

a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______

i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.

Answers

Answer:

A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. ii. -4.681

Step-by-step explanation:

A. Based on the statistics that was shown in the given information above the:

Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable

Using this formula

Slope =r*Sy/Sx

Let plug in the formula

Slope=-0.927*18.33/3.63

Slope=-16.99191/3.63

Slope=-4.681

Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681

Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0

Answers

Answer:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

Step-by-step explanation:

We can determine the characteristic equation all we have to do is:

let y' = m, hence y" = m², y'" = m³

Therefore, the higher-order differential equation becomes:

m³ + 3m² + 3m + 1 = 0

(m + 1)(m² + 2m + 1) = 0

(m + 1)(m + 1)(m + 1) = 0

(m + 1)³ = 0

m = -1, -1, -1

Therefore the general solution is given as:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

[tex]c_1,c_2,c_3\ are\ constants.[/tex]

Lesson 4 Solving One Variable Equation


2. What value makes the equation 3b + 15 = – 26 – 20 true?

Answers

Answer:

b = -³¹⁄₃

Step-by-step explanation:

We can solve this Algebra equation by separating the variable and constants.

3b + 15 = -26 - 20

3b + 15 = -46

3b = -31

b = -³¹⁄₃

.60 is what percent of 180? ​

Answers

Answer:

1.08

Step-by-step explanation:

.60% *180=108

108/100=1.08%

Answer:

108

Step-by-step explanation:

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

alternate interior angles

Step-by-step explanation:

I know for sure that this is one of the answers to your question sorry i didnt get to help more

Answer:

alternate interior angles

Step-by-step explanation:

Instructions: Rewrite the equation in proper Standard Form.
Equation: 1/4x-3/4y=-3
Standard Form:
Check

Answers

Standard form: x-3y=-12


Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>

Answers

34555555555555555555555555555555555555

What is the slope of the line that passes through the points (−3, 1) and (1, −5) ? 1/2 −2/3 −3/2

Answers

Answer:

-3/2

Step-by-step explanation:

:)

Answer:

The answer is -3/2

Step-by-step explanation:

I took the test.

Have a great day!!

what is the answer. one smaller cube labeled with fish food with dimensions of one-quarters feet on each side. Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; the height of 3 and one-quarter feet. times 1/4

Answers

I multiplied ¼ x ¼ x ¼ = 1/64 fish food
I multiplied 3 ¾ x 3 x 3 ¼= 36 9/16 Shipping

I divided 36/96 / 1/64 = 2340

Find the prime factorization of the number 8.​

Answers

Answer:

For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is the only factor, but you need three copies of it to multiply back to 8, so the prime factorization includes all three copies.

Step-by-step explanation:

Very intresting hope this helps

PLZ HELP FAST
Enter an algebraic expression to model the given context. Give your answer in simplest form. The original price p of an item less a discount of 10%. The algebraic expression is​

Answers

Answer:

The algebraic expression is​ 0.90p

Step-by-step explanation:

The presentation of the algebraic expression is​ shown below:

Let us assume that the original price is p.

So,

The Orginal price is P

and the item would be less a 10% discount

So it could be written as 0.10p

Now the required expression could be written as

p - 0.10 p = 0.90p

Hence the algebraic expression is​ 0.90p

The same is to be considered

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