Answer:
Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:
N = 180 x (100 - 40)/40 = 270 pages
Hope this helps!
:)
The average hourly wage for a high school student in Illinois is $8.25 per hour with a standard deviation of $.25. Assume hourly wages vary normally.
A) Determine the margin of error for this scenario.
B) For the previous question you just answered, construct a 95% confidence interval for the hourly wage for a high school student.
C) For the 95% confidence interval you just constructed, does an hourly wage of $9.15 fall within that acceptable range?
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: hourly wage of a high school student
X~N(μ;σ²)
X[bar]= $8.25
σ= $0.25
For a 95% CI for the average hourly wage for 1 high school student:
For this exercise you have to consider the sample size n=1
a) The margin of error of the CI is calculated as:
d= [tex]Z_{1-\alpha /2}[/tex] * σ
1-α: 0.95 ⇒ α:0.05
1-α/2:0.975
[tex]Z_{1-\alpha /2}= Z_{0.975}= 1.96[/tex]
d= 1.96 * 0.25= 0.49
b)
The formula for the interval is
X[bar] ± [tex]Z_{1-\alpha /2}[/tex] * σ
[8.25 ± 0.49]
[7.76; 8.74]
With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.
c)
Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.
I hope this helps!
what’s the gcf of x^2 and 5x
Answer:
the GCF of x^2 and 5x is x
Find the prime factors of each term in order to find the greatest common factor (GCF).
What function has zeros at x=10 and x=2
Answer:
f(x) = x^2 -12x +20
Step-by-step explanation:
There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...
f(x) = (x -10)(x -2) . . . . . each zero contributes a factor
f(x) = x^2 -12x +20
9/4 - 4/3 plz help me
Answer:
11/12
Step-by-step explanation:
Find the common denominator.
4 and 3 both go into 12.
4 goes into twelve three times so multiply the denom and the num.
9/4 = 27/12
3 goes into twelve four times.
4/3 = 16/12
Subtract.
27/12-16/12
= 11/12
Answer: 11/12
Step-by-step explanation:
multiply 3 and 4 to get a common denominator.
multiply 3 by 9 and 4 by 4
this gets u 27/12 and 16/12
subtract.
11/12
Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.
Briefly describe how the word lengths compare between textbook 2 and textbook 1.
Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :(
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
What’s the correct answer?
Answer:
B.
Step-by-step explanation:
Answer:b
Step-by-step explanation:you need to add both
What is 1 2/3 - 2 1/3?
Step-by-step explanation:
First it will be easer if you turn both sides into improper fractions
5/3-7/3
Now do 5-7
5-7=-2
The bottom of the fraction stays the same
-2/3 is your answer.
a circle with area 36pi has a sector with a central angle of 48°. what is the area of the sector?
Answer:4.8π
Step-by-step explanation:
Φ=48°
Area of circle=36π
Area of circle=π x r^2
36π=πr^2
Dividing both sides by π we get
r^2=36π/π
r^2=36
Take them square root of both sides
√(r^2)=√(36)
r=6
Area of sector=Φ/360 x π x r x r
Area of sector=48/360 x π x 6 x 6
Area of sector=(48xπx6x6)/360
Area of sector=1728π/360
Area of sector=4.8π
Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.
Which expression can you use to find 23% of 52? ..
23% of $52 is $..
An easy way to check your answer is to use the friendly and divide 52 by to get ..
Answer:
Which expression can you use to find 23% of 52? "0.23 x 52"
23% of $52 is $. "11.96"
An easy way to check your answer is to use the friendly 25% and divide 52 by 4 to get 13.
Step-by-step explanation:
just did it good luck everyone
23% of $52 is $11.96.
In order to determine the value of 23% of $52, we would multiply 23% by $52. Multiplication is a basic mathematical operation that entails adding a certain number by itself a certain number of times. The sign used to represent multiplication is ×.
23% x 52
= 0.23 x 52 = $11.96
To learn more, please check: https://brainly.com/question/92258
Erin built a wooden box to hold hay on her farm. The box is 3 m long, 1 m wide, and 1 m high. Hay costs $14 per cubic meter.
Answer:
It will cost 42 to completely fill the box with hay.
have a good day <3
What is the sum of 6 x 12?
Answer:
72
Step-by-step explanation:
because 6 x 10 is 60 so 6 x 2 is 12, so 12 + 60 is 72.
Write the perimeter of the floor plan shown as an algebraic expression in x.
Answer: 8+2x
Step-by-step explanation:
Hi, Perimeter is the distance around a two-dimensional shape.
To calculate it, we have to add all the side lengths of the figure. The missing side is the ? side (right side). To obtain it we have to subtract the top right side length (2) to the left side length (12)
So, the expression is equal to:
P = 12+ (x-4) + (x-12) +2 +(12-2)
P = 12+ x - 4 +x -12+2 +10
P = 12-4-12+2+10+x+x
P =8+2x
change 5 out of 19 to a percentage
Answer:
26.3%
Step-by-step explanation:
5 is divided by 19
That answer is then multiplied by 100.
You may round your answer to the nearest whole number.
The perimeter of a rectangle is 62 meters. The length is 4 more than 2 times the width. What is the length?
Answer:
4x+ 1 = 24 + 1 = 25 m.
Step-by-step explanation:
Given, perimeter = 62 m. Perimeter : 2 (L+W) = 62 m. hence, L+W = 31 m. x = 30/5
Answer:
Step-by-step explanation:
let width be x
length = 2x + 4
2(x + 2x + 4) = 62
6x + 8 = 62
6x = 54
x = 9
length = 2(9) + 4 = 22cm
The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40 cm? Write an equation relating the volume of a cube, V, and an edge of the cube, a. nothing Differentiate both sides of the equation with respect to t. StartFraction dV Over dt EndFraction equals(nothing )StartFraction da Over dt EndFraction (Type an expression using a as the variable.) The rate of change of the volume is nothing cm cubed divided by sec. (Simplify your answer.)
Answer:
Step-by-step explanation:
Let the edge of the cube be a .
Given
[tex]\frac{da}{dt} = 2 cm/s[/tex]
Volume V = a³
[tex]\frac{dV}{dt} = 3a^ 2\frac{da}{dt}[/tex]
= 3a² x 2
= 6a²
If a = 40 cm
[tex]\frac{dV}{dt} = 6 \times 40\times40[/tex]
= 9600 cm³/s .
If you put all the sunflowers together end to end, what would be the total length of all the sunflowers?
Answer:
7 1\68
Step-by-step explanation:
all i did was look up a fraction calculator
calculator soup is the one i used :)
I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?
Answer:
Should be the bottom one
Step-by-step explanation:
You can find this by counting. It is the only one with 12 units.
Answer:
Step-by-step explanation:is number 4 i pick it and its correct
Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
Can you work out this math puzzle?
The value of the puzzle is 17
The value of the triangle :
30/3 = 10Value of Circle :
10/2 = 5Value of whole yellow square :
8/2 = 4Value of half-yellow square :
4/2 = 2Using the above information:
Triangle + Circle + half-square
10 + 5 + 2 = 17
Therefore, the solution to the puzzle is 17
Learn more on puzzles : https://brainly.com/question/31416634
#SPJ6
Find the arc length of the partial circle. with a radius of 1
Answer:
1/2π
Step-by-step explanation:
For khan, you HAVE to put the pi symbol. just type pi and itll work
Answer:
1/2 pi (Sorry i don't have the pi symbol)
Step-by-step explanation:
A North American company manufactures rivets for use in car production. A sample of forty rivets from the production line had mean 6.803 and standard deviation 0.275 (both in 1/100 of an inch). On communicating these results to the company headquarters in Europe, a request is made for the summary statistics to be converted into millimeters. Given that one inch is 2.538 centimeters, find the mean and standard deviation of the sample in millimeters. What is the mean in millimeters
Answer:
Mean = 1.73 mm
Standard deviation = 0.0698 mm
Step-by-step explanation:
Given:
Sample size, n = 40
Mean, u = 6.803
Standard deviation = 0.275
a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:
[tex] 6.803 * \frac{1}{100} [/tex]
Converting to cm, we have:
[tex] 6.803 * \frac{1}{100} * 2.538 = 0.173 cm[/tex]
Converting to mm, we know 1cm = 10 mm,
0.173 * 10 = 1.73 mm
b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:
[tex] 0.275 * \frac{1}{100} [/tex]
Converting to cm, we have:
[tex] 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm[/tex]
Converting to mm, we know 1cm = 10 mm,
0.00698 * 10 = 0.0698mm
In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:
Mean: [tex]1.73mm[/tex]Standard deviation: [tex]0.0698 mm[/tex]Given the following information, we have:
Sample size n = 40 Mean u = 6.803 Standard deviation = 0.275A) Find the convertion to the mean in milimeters, will be:
[tex]6.803*(1/100)*2.538=0.173 cm\\=1.73 mm[/tex]
B) Find the convertion to the stardard deviation in milimeters, will be:
[tex]0.275*(1/100)*2.538=0.00698\\=0.0698 mm[/tex]
See more about statistics at brainly.com/question/10951564
IL GIVE YOU BRAINLIST !! * have to get it right * An equation for the line graphed is
Answer:
y = 3/2x+3
Step-by-step explanation:
The y intercept is 3. That is where it crosses the y axis
The slope is
m= (y2-y1)/(x2-x1) and we have points(0,3) and (-2,0)
= (0-3)/(-2,0)
=-3/-2
=3/2
Using the slope intercept form of a line
y = mx +b where m is the slope and b is the y intercept
y = 3/2x+3
There are 14 math teachers and 26 science teachers at
school today. What is the ratio of math teachers to math
and science teachers at school?
Answer: 2.86
Step-by-step explanation:
14+26=40
40/14
Answer:
2.86
Step-by-step explanation:
A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is an 80% probability that an infected mouse will overcome the virus, and during the same week there is a 10% probability that a noninfected mouse will become infected. Three hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks
Answer:
The number of mice that will be infected next week are 130 while
The number of mice that will be infected in 3 weeks are 111
Step-by-step explanation:
From the information given , the researcher is studying the spread of a virus in a population of 1000 laboratory mice. i.e, n = 1000
Number of infected = 300
Non infected = 1000 - 300 = 700
Probability an infected mouse will overcome = 80% = 0.8
Probability a noninfected mouse becomes infected = 10% = 0.10
The number of infected that will overcome = 0.8 * 300 = 240
The number of non infected that will become infected = 0.1 * 700 = 70
The number that will be infected on the first week =
300 - 240 + 70
= 130
Number that will be healthy on the first week =
700 + 240 - 70
= 870
Calculating for week 2:
The number of infected that will overcome = 0.8 * 130 = 104
The number of non infected that will become infected = 0.10 * 870 = 87
The number that will be infected on the second week =
130 - 104 + 87
= 113
Number that will be healthy on the second week =
870 + 107 - 87
= 887
Calculating for week 3:
The number of infected that will overcome = 0.8 * 113 = 90.4
The number of non infected that will become infected = 0.10 * 887 = 88.7
The number that will be infected on the third week =
113 - 90.4 + 88.7
= 111.3 ≈ 111
Number that will be healthy on the third week =
887 + 90.4 - 88.7
= 888.7 ≈ 889
From our calculations, the number of mice that will be infected next week are 130
The number of mice that will be infected in 3 weeks are 111
What is a Regression equation
Answer:
Regression equations can help you figure out if your data can be fit to an equation.This is extremely useful if you want to make predictions from your data- either future predictions or indications of past behavior.For example,you might want to know what your savings are going to be worth in the future.There are several types of regression equations,some of the more common include exponential and simoke linear regression.In elementary statistics,the regression equation you are most likely to come across is the linear form.
A soda manufacturer claims that its Cherry Fizz soda has more carbonation than a competitor’s Cherry Eclipse soda. Bottles of both types of soda are opened, covered with a balloon, and then shaken. The diameter of each balloon is then measured. The mean balloon diameters are 2.3 inches for the Cherry Fizz soda and 2.1 inches for the Cherry Eclipse soda. A 90 percent confidence interval to estimate the difference in mean diameters, in inches, is (−0.8,1.2). Which of the following claims is supported by the interval?
Answer:
E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.
Step-by-step explanation:
Hello!
The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.
To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.
Be the variables:
X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.
X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.
X[bar]₁= 2.3 inches
X[bar]₂= 2.1 inches
The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches
Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.
The claims are:
A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.
INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.
B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.
INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.
C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.
INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.
D) The interval cannot be interpreted because negative measurements are not possible.
INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.
If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.
E) Because the interval contains 0, there may be no difference in mean carbonation levels.
CORRECT
If you were to test the hypotheses
H₀: μ₁-μ₂=0
H₁: μ₁-μ₂≠0
Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.
If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.
If the interval doesn't include the zero, then you reject the null hypothesis.
I hope this helps!
E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.
What will be the answer?
The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.
To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.
Be the variables:
X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.
X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.
X[bar]₁= 2.3 inches
X[bar]₂= 2.1 inches
The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches
Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.
The claims are:
A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.
INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.
INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.
INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.D) The interval cannot be interpreted because negative measurements are not possible.
INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.
E) Because the interval contains 0, there may be no difference in mean carbonation levels.
CORRECT If you were to test the hypothesesH₀: μ₁-μ₂=0H₁: μ₁-μ₂≠0Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.
If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.
If the interval doesn't include the zero, then you reject the null hypothesis.
Thus the interval contains 0, it is possible that there is no difference in mean carbonation levels.
To know more about null Hypothesis follow
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a number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what could be the number
Answer:350000
Step-by-step explanation:
The number is 350000
350000 rounded to the nearest hundred thousand is 400000
350000 rounded to the nearest ten thousand is 350000
Which expression can be used to find the area of the rectangle shown on the coordinate plane 6×7 7×7 8×7 8×8
Answer:that’s a lot of numbers.
Step-by-step explanation:
0.6666666……… as a percentage
Answer:
2/3
Step-by-step explanation:
Answer: 66.66%
Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!
Answer:
P represents the population in year 0
Step-by-step explanation:
The exponential growth function is f(x) = a (1 + r)^t, where a is the initial
amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth
in decimal ant is the time of growth
the function C(t) = P(1 + r)^t represents the population of
centerville at year t, where P is the initial population and r is the
rate of increase
If your investment is increased 10% annually, then that means
each year, your total has multiplied itself by 110% (the growth factor
is 1 + 10/100 = 1.1)
(1 + r) is the factor grows each year
C(t) = P(1 + r)^t
C depends on P(starting population) , r(the increasing rate and
t(the time in year)
r is the rate of increase means the percentage of increasing , then
0 < r < 1
r is not less than 0
P is the initial amount when t = 0
P represents the population in year 0
Answer:
P represents the population in year 0
Step-by-step explanation:
