The heaviest 10% of fruits weigh more than 814.79 grams.
The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.
What are the formula weights are normally distributed?Define X = Random Variable of the fruit's weight
[tex]X \sim N(mean = 760, standard deviation = 39)[/tex]
We want to find the specific gram value for which 8% of the fruits are heavier
The 92nd percentile of X's normal distribution
[tex]Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92[/tex]
Standardizing we obtain
[tex]Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,[/tex]
where Z is a standard normal random variable
[tex]Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )[/tex]
==> Set this equal to .92:
[tex]Standard \ Normal \ CDF( [x - 760]/39 ) = .92[/tex]
Then, from the standard normal table:
[tex][x - 760]/39 = Inverse Standard Normal[/tex]
[tex]CDF( .92 ) = 1.405[/tex]
Use algebra to solve for x:
[tex]x = 39 * 1.405 + 760 = 814.795[/tex]
Therefore the heaviest 10% of fruits weigh more than 814.79 grams.
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HELPP
If there were 180 minions with you in the lab and only three-fifths made it through the door, how many minions are still with us?
Answer:108
Step-by-step explanation:
Answer: 108 minions
Step-by-step explanation:
Find the equivalent expression using distributive property.
[tex] \large \sf \: ⇒ \: 7(x + 6) \\ \\ \large \sf⇒ \:distributing \: 7 \: with \: bracket \\ \\ \large \sf \: ⇒7x + 42[/tex]
[tex]\boxed{\rm{Option\:A\green{✓}}}[/tex]
▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂☘
Hope it helps !
Translating Inequalities into Words
Which phrases can be used to represent the inequality? Check all that apply.
One-half + k greater-than 18
Answer:
The sum of one-half and a number is more than eighteen.
The sum of one-half and a number is greater than eighteen.
The sum of one-half and a number is above eighteen.
Step-by-step explanation:
https://brainly.com/question/12165044
Question: Which phrases can be used to represent the inequality? Check all that apply.
One-half + k greater-than 18
Answer:
a. The sum of one-half and a number is more than eighteen. b. The sum of one-half and a number is greater than eighteen.
c. The sum of one-half and a number is above eighteen.
Pete is retiring after working 27 years at a major bank. the company offers him a flat monthly retirement benefit of $50 per year for each year of service.
Answer:
1350
Explanation:
27 x 50 = 1350
(Hope this helped!)
A 500 Ml of a laboratory solution contains 10% acetonitrile,25% menthol, and the rest is water. how much is the solution is water?
Answer:
65% of it or 325 of the 500MI
Step-by-step explanation:
65% of solution is water. 65% of 500 total is 325.
HELP ME PLEASE INNEED HELP
Answer:
65/56
Step-by-step explanation:
secant is equal to hypotenuse over adjacent
Answer:
65/33
Step-by-step explanation:
Can anyone help me with this? I don’t get it.
Answer:
D
Step-by-step explanation:
A triangle with sides 2, 4.5, and 6 is similar to a triangle with sides 4, 9, and 12.
[tex] \frac{4}{2} = \frac{9}{4.5} = \frac{12}{6} = 2[/tex]
can anyone help me find the area of these two pls ? ty
Answer:
1. 92 in²
2. 97.2 yds²
Step-by-step explanation:
1. area of a rectangle: b x h
b = 9.2
h = 10
9.2 x 10 = 92
2. area of paralellogram: b x h
b = 12
h = 8.1
12 x 8.1 = 97.2
hey can someone help me find the area pls
Answer:
16.12 mi²
Step-by-step explanation:
The formula for the area of a trapezoid is A = 1/2h([tex]b_{1} +b_{2}[/tex]), where [tex]b_{1}[/tex] stands for base 1, and [tex]b_{2}[/tex] represents base 2. Plugging in the given values, we have A = 1/2(3.1)(8.3 + 2.1). Now we can solve.
------------------------------
A = 1/2(3.1)(8.3 + 2.1)
1/2(3.1)(10.4)
1.55(10.4)
= 16.12 mi²
hope this helps!
Which of the following is NOT a skill-related fitness test?
A. The skin fold test
B. The alternate hand ball test
C. The ruler drop test
D. The stork and stand test
Option - A) The skin fold test .
Step-by-step explanation:
Skin fold test is not a skìll related fitness test. Skill related fitness test includes skills that person have to show by doings various tests. It includes various skills such as skill of reaction, skill of balancing, skill of catching, bouncing etc. _______________Skin fold test is a test to check the Lipids or thickness of the body .It is measured by Calipers.Multiply the sum of -13/8 and 5/12 by their difference.
Answer:
1421/576
Step-by-step explanation:
Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24
Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24
Sum * Difference = (-29/24)*(-49/24) = 1421/576
I Need help with 16 please help
Answer:
C
Step-by-step explanation:
28% of 25900 gives you 7252 and it is asking approx. and that is 7200
The number of toys owned by eight classmates is shown below:
4, 3, 4, 5, 6, 6, 8, 4
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
PLEASE HELP. I WILL GIVE BRAINLIEST IF YOU DO PART B.
Answer:
A. 4+5/2= 6,5 mean
Step-by-step explanation:
I don't get the second question. Sorry! But at least I tried to help part A.
Answer:
Part A Answer: 5 Part B Answer: 1.25
Step-by-step explanation:
Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.
Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!
The ratio of girls to boys in a room is 3/4. What are other ways to represent this ratio? Select each correct answer. 3 to 4 3:4 4 to 3 4:3
Answer:
a) 3 to 4
b) 3 : 4
Given:[tex]\sf \dfrac{girls }{boys} = \dfrac{3}{4}[/tex]
Notice that girls = 3, boys = 4
So, Ratio of girls to boys can be rewritten as 3 : 4 and 3 to 4
Fractions are usually represented in ratio like
a/ba:ba to bSo
here
3/43:43 to 4need help with meth problem
Answer:
She bought 10 apples and 10 bananas
Step-by-step explanation:10 apples - $1.50 each x 10 apples = $15.00
10 bananas - $1.25 each x 10 bananas = $12.50
15.00+12.50=$27.50
x+y=28.00
1.50x+1.25y=28
Based on the row relative frequencies in the table above, which statement is true? A There is an association between type of pet and food preference because the row relative frequencies are similar for the dog and cat rows B There is an association between type of pet and food preference because the row relative frequencies are not similar for the dog and cat rows There is not an association between type of pet and food preference because the row relative frequencies are similar for the dog and cat rows There is/not an association between type of pet and food preference because the row relative frequencies are not similar for the dog and cat rows
The conclusion that can be drawn from the table is (c) There is not an association between type of pet and food preference because the row relative frequencies are similar for the dog and cat rows
What is conditional relative frequency?A conditional relative frequency is simply a two-way table that shows the relationship between table entries
How to determine the association?The table is given as:
Food preference
Dog 0.47 0.52 0.495
Cats 0.53 0.48 0.505
Total 1 1 1
The entries at rows 1 and 2 i.e. 0.47 and 0.52 & 0.53 and 0.48 are close.
This means that there is no association between them because of the closeness
Hence, the conclusion about the association is (c)
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Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. Today, 4 of the first 48 customers in the store used a coupon. How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die? The experimental probability is greater than the theoretical probability by more than 2%. The experimental probability is less than the theoretical probability by more than 2%. The experimental probability is greater than the theoretical probability, but within 2%. The experimental probability is less than the theoretical probability, but within 2%.
The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.
How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?It follows from the task content that, upon evaluation;
The experimental probability upon evaluation = 4/48 = 1/12.
The theoretical probability upon evaluation = 1/8.
Consequently, it follows that the experimental probability is less than the theoretical probability by more than 2%.
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100 POINTS IF YOU CAN GUESS CORRECTLY PLEASE HELP!
a shopkeeper buys 25 cricket balls at a total cost of $150
a) he sells them for $ 8 each. what was his % profit?
b)he sells them for $5 each. what was his % loss?
Answer:
a) he sells them for $ 8 each. what was his % profit
Step-by-step explanation:
If you add Natalie's age and Fred's age, the result is 43. If you add Fred's age to 4 times Natalie's age, the result is 88. Write and solve a system of equations to find how old Fred and Natalie are.
Natalie's age = n
Fred's age = f
n + f = 43
4n + f = 88
f = 43 - n
4n + (43 - n) = 88
3n + 43 = 88
3n = 45
n = 15
f = 43 - n
f = 43 - 15
f = 28
Natalie is 15
Fred is 28
Hope this helps!
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
Answer:
B) 25 / 8
Step-by-step explanation:
We know that pi = 3.14*, or "3 and a little bit more". 25/8=3.125 which is approximately pi.
The following two-way table shows the distribution of pets in a large apartment building. A 4-column table with 3 rows titled Pets. Column 1 has entries cat, no cat, total. Column 2 is labeled dog with entries 27, 3, 30. Column 3 is labeled no dog with entries 25, 45, 70. Column 4 is labeled Total with entries 52, 48, 100. Suppose we select a resident of the apartment building at random. Let event A = Cat and event B = Dog. Calculate and interpret P(A|B). The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .
Answer:
The probability that a randomly selected resident owns a
✔ cat
, given that the person also owns a
✔ dog
, is equal to approximately
✔ 0.90
.
Step-by-step explanation:
Just did it on edge.
Next slide answer is:
The probability that a randomly selected resident owns a
✔ dog
, given that the person also owns a
✔ cat
, is equal to approximately
✔ 0.519
.
One painter can paint a room in 2 hours; another painter requires 4 hours to paint
the same room. How long will it take them to paint the room together
Answer:
[tex]1\frac{1}{3}[/tex] hours
Step-by-step explanation:
The first painter does [tex]\frac{1}{2}[/tex] (aka [tex]\frac{2}{4}[/tex]) the job in 1 hour.
The second painter does [tex]\frac{1}{4}[/tex] the job in 1 hour.
This means together they can do [tex]\frac{3}{4}[/tex] the job in 1 hour.
This means to do [tex]\frac{1}{4}[/tex] of the job they will need [tex]\frac{1}{3}[/tex] hours. (third of the work they do in an hour means they need a third of the time)
This means they need [tex]1\frac{1}{3}[/tex] hours to paint the room together.
The two triangles are congruent.
Answer:
B
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
The tirangles are no exatly the same due to the fact that one is rotated.
This means they are similar NOT congruent
34. x-y=3 Slope-Intercept Form
Answer:
y=x-3
Step-by-step explanation:
Slope intercept form: y=mx+b
x-y=3
-y=-x+3
y=x-3
Find the inverse of y=7x+3
Answer:
7 x 3 .
Step-by-step explanation:
Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√49x7 f - 1 ( x ) = 49 x 3 7 is the inverse of f(x)=7x3 f ( x )
The inverse function is y= (x-3)/7
What is a function?An expression which defines the relationship between two variables (one independent and one dependent variable).
What is dependent and independent variable?The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes with the change of independent variable.
What is inverse of a function?A function that undoes the original function is called the inverse function.
How to find the inverse of y=7x+3 ?To find the inverse function of a given function,
first we will have to interchange the variablesIn the problem,
y is the independent variable x is the dependent variabley=7x+3
To find the inverse
x = 7y + 3 ( interchanging the variables )
Now finding the value of y,
⇒ x - 3 = 7y
⇒ y = (x-3)/7
This is the inverse function.
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PLEASE HELPPP SOLVE FOR X, these are two separate question’s
[tex]\textbf{3)}\\\\~~~~~3x^2\cdot 5 = 80\\\\\implies 15x^2 = 80\\\\\implies x^2 = \dfrac{80}{15}\\\\\implies x^2 = \dfrac{16}3\\\\\implies x = \pm\sqrt{\dfrac{16}3}\\\\\implies x = \pm \dfrac 4{\sqrt 3}\\\\\textbf{4)}\\\\~~~~~~(x-5)^2 = 81\\\\\implies x -5 =\pm\sqrt{81}\\\\\implies x -5 = \pm9\\\\\implies x = 5\pm9\\\\\implies x = -4,~ x = 14[/tex]
Define the binary operator ∇ by: a ∇ b = 4 Simplify each of the following. Do the order of operations (do what is in parentheses first). ( 4 ∇ 3 ) ∇ 6 = ( 7 ∇ 2 ) ∇ 5 =
Given that a ∇ b = 4, it doesn't matter what values you choose for a and b, the result of the ∇ operation is always 4.
So, unless your question is missing some additional details, we have
(4 ∇ 3) ∇ 6 = 4 ∇ 6 = 4
and
(7 ∇ 2) ∇ 5 = 4 ∇ 5 = 4
Helppp!!!! Asap I neeed to know which one it is.
Hi!
The purple triangle is the pre-image.
See those little quotation marks on the letters of the blue triangle?
When we say the name of the triangle, we would say triangle ABC prime, meaning it's the post image, because it's like a copy of the other one, hence the quotes.
Bill buys a large can of paint. The size of the can is measured in which unit?
[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}} [/tex]
[tex] \mathbb\purple{GALLONS} [/tex]