Answer:
0.01
Step-by-step explanation:
The probability of making a Type I error is equal to \alphaα = 0.01, the significance level of the test
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar.
An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He plans to conduct a significance test at a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50.
Type I error is referred to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's true. In this case, the inspector rejects the hypothesis that the proportion of water that is contained in the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
Learn more about probability here;
https://brainly.com/question/11234923
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Write the expression 53.7124 x 10 x 3 as a single number.
Answer:
The aswer is buy a rabbit
Step-by-step explanation:
Answer:
1611.372
Step-by-step explanation:
Que sucede cuando dividimos un numero entre si mismo
Answer:
no pasa nada
Step-by-step explanation:
espero que eso te ayude:)
Answer:
Cualquier número dividido entre si mismo da como resultado 1
love yall again thx for the help
Answer :
Cost of running shoes = $92
Cost of total expenditure = $122
It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s
Thus the equation formed will be ,
4s + 92 = 122Option D is the correct answer
Plssss help I’ll mark u brainliest!!!
Answer:
The answer to the question is C
A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
What is the probability of picking out a red marble, putting in back in the bag, and then picking out a yellow marble?
What is the probability of picking out a blue marble, putting it in your pocket, and picking out another blue marble?
Answer:
Step-by-step explanation:
The total number of marbles is 20
Question A
P(Red) = 4/20 = 1/5
P(yellow) = 9/20
P(Red then Yellow) = 1/5 * 9/20 = 9 / 100
Question B
P(B) = 6/20
P(B again) = 5/19 because you have 1 less total plus 1 less blue.
P(B and B) = 6/20 * 5/19
P(B and B) = 30/ 380 = 3/38
Write an equation of the line below in the picture?
Answer:
0,-1, -7-2 is the correct answer
Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a weekend night. She noticed a positive linear relationship between the times. Here is computer output from a least-squares regression analysis on her sample:
Regression: weekend vs school night
Predictor Coef SE Coef
Constant 3.182 2.319
School night 0.789 0.237
S= 1.75 R-Sq= 20.9%
Required:
What is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 000?
Answer:
The answer is "3.329".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\text{test statistic t} = \frac{slope}{standard \ error}[/tex]
[tex]=\frac{0.789}{0.237}\\\\=3.329[/tex]
Find the surface area of the rectangular prism
What is the slope of the graph shown below?
A. -2
B. 2
C. -5
D. 5
ANSWER FAST I JUST NEED ANSWER
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.
So lost. How do I find the area when the height isn’t shown.
Answer:
By taking the height as x most probably
Step-by-step explanation:
Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)
Answer:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 - x +2[/tex]
Required
The vertex
We have:
[tex]f(x) = x^2 - x +2[/tex]
First, we express the equation as:
[tex]f(x) = a(x - h)^2 +k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
So, we have:
[tex]f(x) = x^2 - x +2[/tex]
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
[tex]f(x) = x^2 - x +2[/tex]
[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]
[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Expand
[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Factorize
[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
Factor out x - 1/2
[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]
Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]
[tex]h = \frac{1}{2}[/tex]
[tex]k = \frac{7}{4}[/tex]
Hence:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
Answer: A or 1/2 , 7/4
Step-by-step explanation:
did it on an assignment on EDGE
I need help. someone help me and quick,!
Answer:
true
Step-by-step explanation:
because 25+11 = 36
______
Calculate the total amount paid for a stock if you purchased 350 shares of the stock at $21.50 per share
the broker's commission is $40 + $0.20/ share
O $7595
O $7635
0 $7525
O $7000
Answer:
7635
Step-by-step explanation:
350(.2+21.5)+40=7635
Answer:
7525
Step-by-step explanation:
you have to multiply
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
According to hypotenuse
39²+b²=65²
b²=65²-39²
b²=4225-1521
b=√2,704
b=52 km
plz help 5th grade work
Answer:
I don't see where the question is...
Step-by-step explanation:
Factor y2 - 5y - 1y+ 5 by grouping.
A) (y + 1)(y – 5)
B) (y - 1)(y – 5)
C) (y - 1)(y + 5)
D) (y + 1)(y + 5)
Answer:
C
Step-by-step explanation:
gghiruufkfhfjttyyyyyy
Answer:
the answer is (y-1) (y-5)
What is the product?
StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
StartFraction x (x minus 1) Over 2 EndFraction
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction
Answer:
A
Step-by-step explanation:
The product of the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex] is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
What is an expression?An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations
Below is how to calculate the product
The product expression is given as:
[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Express x^2 - 16 as a difference of two squares
[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Divide the expression
[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Factorize the other fraction
[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]
Further factorize
[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]
Divide
[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]
Multiply the fractions
[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
Hence, the product of [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex] is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
Read more about algebraic expressions at:
https://brainly.com/question/4344214
Evaluate each expression for n= -5.
5. n-6
6.-15-n
7. n-(-12)
8. 1-n
Answer:
Hello!
5: -11
6: -10
7: 7
8: 6
Hope that helps!
Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7
Answer:
[tex]P(x > 4.5)= 0.983943[/tex]
Step-by-step explanation:
Given
[tex]\mu = 6[/tex]
[tex]\sigma = 0.7[/tex]
Required
[tex]P(x > 4.5)[/tex]
Start by calculating the z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{4.5 - 6}{0.7}[/tex]
[tex]z = \frac{-1.5}{0.7}[/tex]
[tex]z = -2.143[/tex]
So, we have:
[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]
This gives:
[tex]P(x > 4.5)= 1 - P(x < z)[/tex]
[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]
Using the z score probability table, we have:
[tex]P(x > 4.5)= 1 - 0.016057[/tex]
[tex]P(x > 4.5)= 0.983943[/tex]
Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.
Answer:
v = 3
Step-by-step explanation:
You can start by distributing -2:
-2v - 2 = 3v -17
Next, add 2v to both sides to combine the v terms:
-2v - 2 = 3v - 17
+2v +2v
-2 = 5v - 17
To isolate the v term, we add 17 to both sides:
-2 = 5v - 17
+17 +17
15 = 5v
Lastly, divide by 5 to get v:
15 = 5v
÷ 5 ÷5
3 = v --> v = 3
An investment of $8500 increases in value by 4.5% every year. How long until the investment reaches about $17323.
Answer:
It would take 16 years and 64 days until the investment reaches about $ 17323
Step-by-step explanation:
Given that an investment of $ 8500 increases in value by 4.5% every year, to determine how long it would take until the investment reaches about $ 17323, the following calculation must be performed:
8,500 x (1 + 0.045 / 1) ^ X = 17,323
8,500 x 1,045 ^ X = 17,323
1,045 ^ X = 17,323 / 8,500
1.045 ^ X = 2.038
1,045 ^ 16,175 = 2,038
X = 16.175
1 = 365
0.175 = X
0.175 x 365 = X
63.875 = X
Therefore, it would take 16 years and 64 days until the investment reaches about $ 17323
Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?
Answer:
3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
40% of all customers walking into their store will buy at least one item on that occasion.
This means that [tex]p = 0.4[/tex]
4 customers:
This means that [tex]n = 4[/tex]
3.1 What is the probability that one or two out of the next four customers will make a purchase?
This is:
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]
[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]
So
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]
0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2. What is the probability that at least one out of the next four customers do not make a purchase?
This is:
[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]
[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]
0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Which of the following equations have the same solution as 3x - 5 = 5x + 11
Answer:
x = -8 Hope that helps bye!
Step-by-step explanation:
1. Subtract 3x from both side -5=5x+11-3x
2. Simplify 5x+11-3x= 2x+11
3. Subtract 11 from both sides -5-11=2x
4. Simplify -5-11= -16=2x
5. Divide both sides by 2 -16/2=x
4. Simplify 16/2 = -8 = x
5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8 1. 3×-8-5=5×-8+11
2. 3×-8= -24 do -24-5=5×-8+11
3. Simplify 5×-8= -40 do -24-5=-40+11
4. Simplify -24-5= -29 do -29= -40+11=-29
-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.
Find the circumference of a circle with a radius of 13.5 mm.
Answer:
84.82
Step-by-step explanation:
Answer: 84.82
Step-by-step explanation:
Name the three labeled segments that are parallel to EF
Answer:
Answer D
Step-by-step explanation:
The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.
PLssssssssssssssssssssss help.
HELP PLEASE
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 121212 mm.
What is the volume of each lollipop?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer:
[tex]V=7.45\times 10^{15}\ mm^3[/tex]
Step-by-step explanation:
The radius of each lollipop is 121212 mm
We need to find the volume of each lollipop. The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]
So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].
For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Find a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads.
Answer:
(8.734 ≤ μd ≤ 10.026)
Step-by-step explanation:
Given the data:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Difference, d :
9, 9.1, 8.5, 9.3, 8.9, 9.5, 8.7, 10.2, 11.2
Mean difference, μd = Σd / n = 84.4 / 9 = 9.38
Standard deviation of difference, Sd = 0.84 (calculator)
The confidence interval :
μd ± margin of error
Margin of Error = Tcritical * Sd/√n
TCritical at 95%, df = 9-1 = 8
Tcritical = 2.306
Margin of Error = 2.306 * (0.84/√9) = 2.306*(0.84/3) = 0.64568
Lower boundary = 9.38 - 0.64568 = 8.73432
Upper boundary = 9.38 + 0.64568 = 10.02568
(8.734 ; 10.026)
eeeeeeeeeeeeeeeeeeeeeeehhhheelllllllpppppppppp
Answer:
2/3
Step-by-step explanation:
My brain is too big
Answer:
2/3
Step-by-step explanation: