The probability that members of this group will average at least 40 minutes reading online newspapers during the coming month is approximately 0.9967 or 99.67%.
To answer this question, we can use the central limit theorem, which states that the sampling distribution of the sample mean of a sufficiently large sample size is approximately normal, regardless of the distribution of the population.
The sample size is 30, which is large enough to use the central limit theorem. We need to find the probability that the sample mean is at least 40 minutes.
The population standard deviation is 10 minutes, so the standard error of the mean is:
SE = σ/√n = 10/√30 = 1.8257
To find the z-score for a sample mean of at least 40 minutes, we use the formula:
z = (x - μ) / SE
where x is the sample mean, μ is the population mean (45 minutes), and SE is the standard error of the mean.
z = (40 - 45) / 1.8257 = -2.732
Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than -2.732 is approximately 0.0033.
However, we are interested in the probability of a sample mean of at least 40 minutes, which is the same as the probability of a z-score greater than -2.732.
P(z > -2.732) = 1 - P(z < -2.732) = 1 - 0.0033 = 0.9967
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The sum of my number and two and two thirds is seven. What is my number?
7 is in one box. Below it are 2 boxes. N is in one. 2 and 2-thirds is in the other.
Check all that apply.
The variable, n, represents the unknown number.
The unknown number and 2Two-thirds equals 7
4One-third+2Two-thirds= 7
9Two-thirds- 2Two-thirds= 7
n = 4One-third
Answer:
1,2,3,5
Step-by-step explanation:
Answer:
abce
Step-by-step explanation:
what would be the reminder of 20,000 divided by 24 ?
Answer:
I think 2500..not sure tho
Step-by-step explanation:
HELP MEEEEE PLEASEEE
Answer:
i do not know but you need to answer you text messages
Step-by-step explanation:
Solve for X: X+8=3(x-7)-5
Answer:
x = 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
x + 8 = 3(x - 7) - 5
Step 2: Solve for x
Distribute 3: x + 8 = 3x - 21 - 5Combine like terms: x + 8 = 3x - 26[Subtraction Property of Equality] Subtract x on both sides: 8 = 2x - 26[Addition Property of Equality] Add 26 on both sides: 34 = 2x[Division Property of Equality] Divide 2 on both sides: 17 = xRewrite/Rearrange: x = 17Answer:
17
Step-by-step explanation:
X+8=3(x-7)-5
x+8=3x-21-5
x+8=3x-26
8=2x-26
34=2x
What is the height of the boat in the scale model?
What length is the real boat?
Answer:
15
Step-by-step explanation:
a) The height of the real boat is 15 feet and the scale model is 3 inches
b) The scale model is 9 inches , and the real height is H = 45 feet
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The proportion of scale model of the boat to the real boat is 1 : 5
Now ,
a)
The height of the real boat is 15 feet and the scale model is k inches
From the proportion , we get
1 / 5 = k / 15
Multiply by 15 on both sides , we get
k = 3 inches
b)
The scale model is 9 inches , and the real height is H
From the proportion , we get
5 / 1 = H / 9
Multiply by 9 on both sides , we get
H = 45 feet
Hence , the proportion is solved
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Jennifer has 12 nickels and dimes. The value of her coins is $1
Answer:
4 dimes, 12 nickels
Step-by-step explanation:
nickels are worth 5 cents,
12x5=60
$1 is worth 100 cents
100-60 is 40
dimes are worth 10 cents
40 / 10 is 4
so 4 dimes
The number of dimes = 8 dimes
The number of nickels = 4 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of nickels be = x
Let the number of dimes be = y
Now , the total number of coins = 12
So , the equation will be
x + y = 12 be equation (1)
Now , the total value of coins = $ 1
The value of 1 dime = $ 0.10
The value of 1 nickel = $ 0.05
So , the equation will be 0.05x + 0.10y = 1 be equation (2)
Multiply equation (2) by 100 , we get
5x + 10y = 100 be equation (3)
Multiply equation (1) by 5 , we get
5x + 5y = 60 be equation (4)
Subtracting equation (4) from equation (3) , we get
5y = 40
Divide by 5 on both sides of the equation , we get
y = 8
Therefore , the value of y = 8
Substitute the value of y in equation (1) , we get
x + y = 12
x + 8 = 12
Subtracting 8 on both sides of the equation , we get
x = 4
Therefore , the value of x is 4 and value of y is 8
Hence , The number of dimes = 8 dimes
The number of nickels = 4 nickels
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(Look at attached imagine)
Answer:
C. [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Step-by-step explanation:
Megan is planning to make dinner for a group of friends. She wants to make each person a personal pizza. It takes Megan 3 minutes to prepare a personal pizza with toppings. The function P(f) = 3f represents the time it takes to prepare the pizzas, where f is the number of friends attending her dinner party.
The function C(f) = 30 represents the time to cook the pizzas since it will take Megan 30 minutes regardless of how many friends attend..
Which expression represents how long it will take Megan to prepare and cook the pizzas
A. P(f) + C(f)
B. P(f) – C(f)
C. P(f) ∙ C(f)
Answer:
The answer is A
Step-by-step explanation:
You are adding the time it takes to make a pizza so it isn't B or C
Suppose f(x)=x^2 +1. Find the graph of 4 f(x).
Graph 1
Graph 2
Answer:
Graph 1.
Step-by-step explanation:
The graph of f(x) will be compressed by a factor 4 and the vertex will be 4 units up from the origin.
The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is
Answer:
0.6316
Step-by-step explanation:
The computation of the probability that 2 people were excited without replacement is shown below:
There is a total of 20 people
out of which 16 are excited and the remaining 4 would be non-excited
Now the probability would be
[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]
= 0.6316
Write an equation for the nth term of the geometric sequence 0.6, 3, 15, -- 75, ...
Then find a6. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
nth term = 0.6 × 5ⁿ⁻¹
a₆ = 0.6 × 5⁵ = 1875
The sixth term of the sequence is [tex]3,125.6[/tex]
Geometric sequence
GIven the geometric seqence 0.6, 3, 15, 75, .
The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]
a is the first termn is the number of termsr is the common ratioGiven the following
a = 0.6
r = 5
n = 6
Get the nth term
[tex]T_n= 0.6(5)^{n-1}[/tex]
For thr sixth term:
[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]
Hence the sixth term of the sequence is [tex]3,125.6[/tex]
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Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded monthly. Round your answer to the nearest cent.
Please select the best answer from the choices provided
A. $900.90
B. $875.02
C. $1,102.94
D. $1,012.10
Answer: a
Step-by-step explanation:
Took test
Roberto earns $6.50 per hour. He worked 32 hours at the regular rate, 8 hours at a time and a half, and 8 at double time. How much did he earn?
Answer $390
Step-by-step explanation:
Answer:
$390
Step-by-step explanation:
First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.
Total: 208 + 78 + 104 = $390
Write a story to match the equation: x + 2 1/2 = 10
Lin likes to bake batches of muffins and share them with friends and family. She needs 10 cups of flour for her next batch, but only has 2 1/2 cups left. How much more flour does she need?
Answer:
She needs 15/2 cups of flour.
Step-by-step explanation:
x+2 1/2=10
2 1/2=5/2
x+5/2=10
x=10-5/2
x=20/2-5/2=15/2
Please help ten points
At a sale, dresses were sold for $192 each. This price was 96% of the dress's original price. How much did a dress originally cost?
Answer:
$199.68
Step-by-step explanation:
You would have to find 4% of 192.
That is 7.68.
192+7.68=199.68.
2x + 6y = −6,
4x − 3y = −12
What is the solution to the system of equations?
(
,
)
Answer:
x=-3, y=0. (-3, 0).
Step-by-step explanation:
2x+6y=-6
4x-3y=-12
---------------
-2(2x+6y)=-2(-6)
4x-3y=-12
---------------------------
-4x-12y=12
4x-3y=-12
----------------
-15y=0
y=0/-15=0
2x+6(0)=-6
2x=-6
x=-6/2
x=-3
Which of the following answers would have
no solution?
X=3
5=3
2=2
Answer:
no entiendo me explican que significa por fa
Find the distance from A to C
Answer:
7
Step-by-step explanation:
Answer:74
Step-by-step explanation:
Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know
6 + 4y = Y-6
hurry please giving 15 points
Answer:
y= -4
Step-by-step explanation:
A vending machine sells chips for $0.50 and candy bars for $1.00. If Jim spent $5.50 on snacks in the machine over the course of a week, how many candy bars did he buy? G. 2 H. 3 J. 4 K. Cannot be determined from the given information
Answer:
can't be determined
Step-by-step explanation:
we would need to know the total number of bars/chips he brought
How do you write 75% as a unreduced fraction
Answer:75/100
Step-by-step explanation:
75%=75/100
Answer:
75/100
Step-by-step explanation:
reduced fractions of this include but are not limited too: 3/4 6/8 12/16 24/32 48/64
Find the area of rectangle ABCD
Answers:
A. 20
B. 10 square root 2 + square root of 82
C. 24
D. 12
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
what is the sum of 7 and t/2
Answer:
14/2+t/2 so ( 14+t)/2 is the answer
At Garcia's Bike Rentals, it costs $45 to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar?
Answer:
5
Step-by-step explanation:
Answer:
$0.09/minute
Step-by-step explanation:
$45/8 hours is $5.63 per hour
There is 60 minutes in an hour.
So you do $5.63/60 minutes and it's about $0.09
So it's 9 cents per minute
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A sum amount to $2400 at 15% simple interest per annum after 4 years. Find the sum
Answer:
1500
Step-by-step explanation:
We can required to find the sum which also means the value
Future value= value × [ 1 + rate×time]
2400= value × [1 + 15/100×4]
2400= value × [1 + 0.15×4]
2400= value × [1+0.6]
2400= value × 1.6
Value= 2400/1.6
= 1500
Solve for x
Solve for x
Answer:
x=19
Step-by-step explanation:
20/36=30/(x+5+30)
20(x+35)=30(36)
20x+700=1080
20x=380
x=19
Helppppppp meeeeeee pleaseeeeee asappp
Answer:
C
Step-by-step explanation:
open circle, arrow pointing left
JJack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answer:
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
Step-by-step explanation: