Answers
Answer:
b) 64 to 76 inches.
Step-by-step explanation:
In a normal distribution, 95% of the population is within 2 standard deviations of the mean.
Given values:
\(\textsf{Mean}\; \mu=70\; \sf inches\)\(\textsf{Standard deviation}\; \sigma=3\; \sf inches\)Given that the mean height is 70 inches and the standard deviation is 3 inches:
\(\implies \mu -2 \sigma = 70-2(3)=64\)
\(\implies \mu+2 \sigma = 70+2(3)=76\)
Therefore, an appropriate height range for 95% of all people in the sample would be:
64 to 76 inches.Related Questions
1.8A F. Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van
for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van,
he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in
the business bank account and £175 cash in hand. You are required to calculate his capital.
Answers
Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van, he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in the business bank account and £175 cash in hand. Total capital is £10,375
What do you mean by capital?
Any employed financial asset might be considered capital. A company's capital is represented on its balance sheet as the earnings from its ongoing operations. The money in a bank account, the proceeds from the sale of stock shares, and the proceeds from the sale of bonds are a few examples.
A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the broad definition of capital.
Fixtures= £1,200, van= £6,000, inventory of goods= £2,800, cash =£375
So, Total assets= £10,375
Payable= £1,600, loan from Rub= £2,500, Balancing figure= £6,275
Total liabilities= £10,375
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Does the graph represent a function? Why or why not ?
Answers
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.
Answers
The angle of depression from the goldfinch to the base of the pole is 32°
What is the distance between the goldfinch and the base of the pole?
Give your answer to 2 d.p.
Given 1 || m ||
|| n, find the value of x.
(x-6)⁰
60⁰
1
m
n
Answers
The value of x in the lines is 126 degree
We are given that;
Three parallel line and one intersecting line
Angles= (x-6) and 60
Now,
By supplementary angles property
Angle 1 + Angle 2 = 180 degree
Substituting the values of angles
x-6 + 60 = 180
x + 54 = 180
x = 180-54
x = 126
Therefore by supplementary angles answer will be 126 degree.
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not sure need help
Answers
Answer:
X = 3
Step-by-step explanation:
So do 7-2 which equals 5. 5 times 6 because 6 is outside of the parentheses with no symbol, so that means to multiply. That would equal 30. You want your answer to equal 6, so you would want the number inside of the parentheses to be 1, so that 1 times 6 would be 6. 2 x 3 would be sixe, and then 7-6 would equal one. 1 times 6 would be 6. So there is your answer.
•first distribute
6*7=42 6*2x=12x
•then subtract 42 from both sides and cancel out 42
42-12x=6
-42 -42
•then divide -12 from both sides and cancel -12 leaving x
-12x=-36
-12x/-12=-36/-12
x=3
HELP ASAPPPP I WILL GIVE BRAINLIEST
Answers
Answer:
It would be B
Step-by-step explanation:
If she is using the algebra tiles and added the 4 to both sides instead of subtracting, it would give you 2x=14 which then you would divide by 2 and get 7. Making the answer B
Using the formula developed by Dr's Mosteller, doctors can approximate the Body Surface Area TIW (BSA) of an adult The formula is written as BSA where H is the Height in cm and W is 3800 the Weight in kg: If the BSA of a certian adult is 96 whose height Is 210 cm. About how much does this adult weight? The adult weights (Round t0 decimal place )
Answers
From the body surface area formula, the adult weight is 508.97.
The Mosteller formula takes the square root of the height multiplied by the weight divided by 3600
The Body Surface Area TIW (BSA) of an adult.
The formula is written as BSA
where H is the Height(cm), Weight is 3800(kg)
BSA=96
Height=210cm
BSA=\(\sqrt{\frac{H*W}{3600} }\)
\(96=\sqrt{\frac{210*W}{3600} \\\)
\(96=\frac{\sqrt{210*W}}{\sqrt{3600} } \\96=\frac{14.49*\sqrt{W}\\}{61.64}\\ 96=\frac{\sqrt{W} }{0.235}\\ 96*0.235=\sqrt{W}\\ 22.56=\sqrt{W}\\\)
Squaring on both sides
508.97=W
Therefore, the adult weight is 508.97(kg).
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Please explain your answer to the question in the picture with steps, thank you.
Answers
Answer:
(a) y = x/8
(b) y = 7/8
Step-by-step explanation:
You want a direct variation equation that relates x and y, given y = 2 when x = 16.
(a) Direct variationThe equation for direct variation is usually written in the form ...
y = kx
where k is the constant of proportionality.
The value of k can be found from ...
k = y/x . . . . divide by x
For the given values, k is ...
k = 2/16 = 1/8
The direct variation equation is ...
y = (1/8)x
(b) Find yThe value of y for x=7 is found by substituting 7 for x in the equation above:
y = (1/8)·7
y = 7/8
<95141404393>
What is 30x2? Id love to know
Answers
The easiest way to do multiplication is to add the number to itself by the number your multiplying it by.
So if your multiplying 30 by 2 you just need to add 30 to itself twice so it's
30 + 30
Which also gives you the same answer
CAN SOMEONE PLS HELP ME WITH BOTH OF THESE QUESTIONS
EXPLANATION IS NOT NEEDED
WILL MARK BRAINLIEST
Answers
The amount in the new checking account is 600 dollars
The operation (5 α 3) + (7 α 5) is 46.
How to find the amount in the checking account?She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.
After paying her loan form her checking account the balance of the loan reduce to half.
Therefore, she paid 800 / 2 = 400 dollars for her loan
Hence,
Her new checking account = 1000 - 400 = 600 dollars
How to find value of an operation?
a α b = ab - a + b
Therefore,
(5 α 3) + (7 α 5)
(5 α 3) = 5(3) - 5 + 3 = 13
(7 α 5) = 7(5) - 7 + 5 = 33
Therefore,
(5 α 3) + (7 α 5) = 13 + 33 = 46
Note: I can't use the at symbol because it is a swear word.
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a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side
Answers
Hello there!
Answer:
14
Step-by-step explanation:
Let the smaller side is x. Then the largest side is x * 7/5.
Perimeter is equal to 2 * (x + 7/5 * x) or 48.
2 * (x + 7/5 * x) = 48
5/5 * x + 7/5 * x = 24
12/5 * x = 24
12/5 * 5/12 * x = 24 * 5/12
x = 10.
Tha larger side is 10 * 7/5 = 14.
Step-by-step explanation:
Given ,
Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48To Find : Which side is longer
We know the formula to find the perimeter of a parallelogram is,
\(P = 2(a+b)\)
We take 'x' to find out which side is longer
\(48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x\)
\(2 = x\)
Side a = 7x = 7 x 2 = 14
Side b = 5x = 5 x 2 = 10
Side a \(\geq\) Side b
Hence, side a is longer
Help nowwwwwww plssss!!!
Answers
pls pls pls pls pls pls pls pls pls pls pls pls pls pls help
Answers
Answer:
69 miles
Step-by-step explanation:
53 + 16 = L
69 = L
Evaluate the expression when a=-4 and x=5.
a- 1- 2x
help pls
Answers
Answer:
-15
Step-by-step explanation:
So it's a-1-2x.
rewrite as -4-1-(2*5)
-4-1-10
-4+-1-10
-5+-10
-15
Answer:
- 15
Step-by-step explanation:
a = -4 and x = 5. ( given )a - 1 - 2 x
- 4 - 1 - 2 ( 5 )
- 5 - 10
- 1 5
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(13)x?
Answers
Answer:
g(x)= ( \(\frac{1}{3}^{x}\)) − 2
Step-by-step explanation:
just took the quiz :D
Find the difference
$9.36 - $1.12
Answers
The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min. If one such class is randomly selected, find P54
Answers
Answer:
52.6704
Step-by-step explanation:
The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min
Let x = 49.29, y=55.55
Percentile(P) = 54/100 = 0.54
P54 = x+(y-x)p
P54 = 49.29 + (55.55-49.29)*0.54
P54 = 49.29 + 6.26*0.54
P54 = 49.29 + 3.3804
P54 = 52.6704
Need help please ???????
Answers
Answer:
5pm
Step-by-step explanation:
5 x 4= 20 miles
4 x 5= 20 miles
The toy horse collection contains 10 horses. You purchase the set and then sell 3 horses to Kate. If you only charge the exact price (no tax involved), how much does Kate pay you?
Answers
Answer:
three tenths of the original amount
Let's start.
There are 10 horses.
(Buying the set is not important, since it does not affect this scenario.)
You sell three horses to Kate, and you expect her to give you the exact price.
Let's say that 10 horses cost the total (unknown).
10 horses equal the total amount, or 1
10 to 1
Now, you sell 3 of these horses. You must multiply 10 and n to make 3.
10 x n = 3
10x 3/10 = 3
Do the same to the other side.
1 x 3/10 = 3/10
3 to 3/10
S={(3,p),(3,0),(4,q),(1,4)}
Answers
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
The car treves 15 milies in 3 hours.
15
hour 1 3 8
12
How many miles per hour?
How many miles does the car go in 10 hours?
ANSWER FOR 30 points!!
Answers
9514 1404 393
Answer:
5 mph50 milesStep-by-step explanation:
To find miles per hour, divide miles by hours:
(15 mi)/(3 h) = 15/3 mi/h = 5 mi/h
__
To find distance, multiply speed by time.
(5 mi/h) × (10 h) = 50 mi
KI Lucy is playing a camival game. She is blindfolded while she throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "Lº for large, or "XL" for extra-large. The board has 5 small balloons, 1 medium balloon, 4 large balloons, and 2 extra-large balloons. She hits one of the balloons at random and wins a stuffed animal of that size.
Answers
Answer:
uh, there's no question, just explanation- do you by any chance have a question to go with this?
but yes good aim bro-
Write an expression for the height, h, of a cylinder with a volume of 547 cubic inches
in terms of its radius, r.
Answers
The expression for the height (h) in terms of radius r is h = 547/(∏r²).
What is a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
Given that the volume of the cylinder is 547 cubic inches.
The volume of a cylinder is V = ∏r²h
Where r is the radius of the cylinder.
h is the height of the cylinder.
Putting V = 547, r = r and h = h in V = ∏r²h
547 = ∏r²h
∏r²h = 547
Divide both sides by ∏r²:
h = 547/∏r².
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1/6 + 2/3 + 36 (help plz)
Answers
\(\frac{-332}{-4}\)
Answers
Answer:
83
Step-by-step explanation:
\( \frac{ - 332}{ - 4} = 83\)
Complete the statement below about the two figures.
Choices:
the Two figures are (Not similar/similar) because 2/5
(Equals/ does not equal) 3/6
Answers
The Two figures are (Not similar) because 2/5 ( does not equal) 3/6.
What is similar rectangle?
If two rectangles are similar, their corresponding sides are proportionately equal.
Now comparing the length and width of the two rectangles then.
=> 2/5 = 3/6
Which is not equally proportional.
Hence the both rectangles are similar because 2/5 does not equal 3/6 .
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9. Find the 21st term in the arithmetic sequence - 4, 1, 6, 11, 16....
a. 72
b. 96
d. 91
C. 95
Answers
Answer:
the answer is c
Step-by-step explanation:
i just know
Sade and her to friends spent $3860 on breakfast
They decided to leave an $7 tp How much dd eoch
person spend they decided to split the total cost
even?
Answers
Answer: 7 x 551=3857 r 3
Step-by-step explanation:
Someone help me with number 2 please
Answers
A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
Answers
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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