The 95% Confidence Interval for the mean number of defects per screen for all screens produced by this manufacturer is (1.447646, 2.352354)
Given Data:
3, 5, 0, 3, 5, 2, 5, 1, 0, 0, 0, 4, 2, 1, 0, 5, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 4, 4, 3, 2,
2, 3, 2, 1, 2, 1, 1, 4, 1, 1, 6, 0, 3, 1, 0, 2, 2, 1, 3
We calculate sample mean and standard deviation from given data.
Sample Mean, a = 2 (2) _ 95
-50
= 1.9
Sample Variance, $2 _ _(2 -x)2 _130.5
= 2.663265
n - 1
49
Sample std dev, s = V82 = v2.663265 ~ 1.631951
95% CI for u using Normal dist
Sample Mean = T = 1.9
Since sample size is large, sample standard deviation can be taken as an approx-
Limation of population standard deviation.
Population Standard deviation = o ~ 1.631951
Sample Size = n = 50
Significance level = 0 = 1- Confidence = 1 - 0.95 = 0.05
The Critical Value = za/2 = 20.025 = 1.96 (From z table)
Critical Values , 1za/2 = 41.96
Margin of Error = E = za/2 X -= 1.96 x 1.631951
0.452354
V50
Margin of Error, E = 0.
Limits of 95% confidence interval are given by:
Lower limit = I - E = 1.9 -0.452354 ~ 1.447646 ~ 1.448
Upper limit = I + E = 1.9 + 0.452354 ~ 2.352354 ~ 2.352
95% confidence interval is: T + E = 1.9 4 0.452354
= (1.447646, 2.352354)
95% CI using normal dist: (1.448 ) < < (2.352)
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Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with 3/4 yard of fabric. The fabric costs $8 per yard.
You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings.
2. Multiply the amount of fabric by the price per yard to find an expression for the total cost.
3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with.
4. Simplify your expression to find the total cost. Show your work.
Given that Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with 3/4 yards of fabric. The fabric costs $8 per yard. The total cost of the fabric is $78.
What is the total cost?The total cost formula is used to get a total by combining the variable and fixed expenses of delivering commodities.
The step-by-step is given as follows:
1) Total cost (TC) = 3/4 (P) x 13
2) 1 pair of wings = 3/4 yard fabric
Recall that the price of 1 yard of fabric = $8
3) 1 pair of wings = $8 x 3/4 = $6
4) Therefore total cost = $6 x 13 = $78
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elect the correct word to fill in each blank. as the sample size increases, the degrees of freedom (i) which moves the t (ii) a z - (i) first blank - (ii) second blank a. decreases b. further from c. closer to d. increases
As the sample size (n) increases, the number of degrees of freedom increases, and the t-distribution approaches a normal distribution.
What is degrees of freedom ?
The variety of degrees of freedom is the amount of values within the final calculation of a datum that are liberal to vary. Estimates of applied math parameters are often primarily based upon totally different amounts information|of knowledge or data.
Main Body:
Degrees of freedom typically equals the quantity of observations (or items of information) minus the quantity of parameters calculable. once you perform regression, a parameter is calculable for each term within the model, and and every one consumes a degree of freedom. Therefore, as well as excessive terms during a multivariate analysis model reduces the degrees of freedom on the market to estimate the parameters' variability.
Hence the number of degrees of freedom increases,as the sample size (n) increases.
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Find the y-intercept of the line. If needed use "/" for a fraction. b=
y=10+4x
Y-intercept(b)= 10
equation wasnt written in the correct order so b is 10
1.5 devided by 2.5 rounded to the nearest tenth
Answer:
1
Step-by-step explanation:
1.5/2.5= 0.6
0.6 nearest tenth is 1
0.0-0.5 --0
0.6-0.9 --1
what is 15×86 2/3 please answer asap I need help
jada sells b books and m magazine subscriptions to raise money for a choir trip. She earns $4 for each book and $3 for each magazine subscription she sells, and she earns a total of $96 toward the cost of her choir trip. The equation that models the situation is 4b + 3m = 96.
[tex]b = \frac{96-3m}{4}[/tex] and [tex]m = \frac{96-4b}{3}[/tex] for the equation that models.
Jada sells b books and m magazine subscriptions to raise money for a choir trip. She earns $4 for each book and $3 for each magazine subscription she sells, and she earns a total of $96 toward the cost of her choir trip.
Given that
1. Jada sells b books and m magazines
2. She earns $4 for each book and $3 for each magazine
3. Total amount she earned is $96
Given equation is
4b + 3m = 96
Solve 4b + 3m = 96 for b
Subtract 3m from both sides
4b + 3m - 3m = 96 - 3m
4b = 96 - 3m
Now divide both sides by 4
= [tex]b = \frac{96-3m}{4}[/tex]
So, the answer for b is [tex]\frac{96-3m}{4}[/tex]
Now, solve 4b + 3m = 96 for m
Subtract 4b from both sides
4b + 3m - 4b = 96 - 4b
= 3m = 96 - 4b
Now divide both sides by 3
= [tex]m = \frac{96-4b}{3}[/tex]
So, the answer for m is [tex]\frac{96-4b}{3}[/tex]
Hence the answer is [tex]b = \frac{96-3m}{4}[/tex] and [tex]m = \frac{96-4b}{3}[/tex] for the equation that models.
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Canada computer charges 18.70/h plus 20.00 for a service call. the repairs person came to do maintenance on all of the school's computers. if the job took three and a half hours, what was the bill?
Using a linear equation to solve this problem, the charge for a 3.5 hour job is 85.45 dollar.
How much was the bill?To find how much was the bill, we need to write an equation or linear equation for this.
For every linear equation, it takes the form of y = mx + c.
Where m and c are the slope and intercepts of the straight line.
In this case, our linear equation can be written as
y = 18.70x + 20
where x = number of hours worked.
If the job took three and a half hour which is 3.5 hours, we can substitute this into the equation and solve.
y = 18.70(3.5) + 20
y = 85.45
The charge is 85.45 dollar.
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Homer told Bart that if he wanted the new video game, Bonestorm, he would have to score an 85% or higher on his next math quiz. Mrs. K gave the class a pop quiz and Bart scored 22/25. Use your skills converting a fraction to a percent and decimal and calculate whether Bart will get his new video game.
PLEASE HELP the pics down below
I believe that f(2) would be 10 and f(-2) would be -5.
(for 100 points)
Multiply (3.84 x 10−9)(7.6 x 1015). Write the final answer in scientific notation.
plus brainly
Answer:
2.9 × 1025
(scientific notation)
= 2.9e25
(scientific e notation)
Step-by-step explanation:
hope this helped
Answer:
2.9184 × 10⁷Step-by-step explanation:
(3.84 × 10⁻⁹) (7.6 × 10¹⁵) = Rearrange the product(3.84 × 7.6) × 10⁻⁹ ⁺ ¹⁵ = Simplify29.184 × 10⁶ = Move the decimal to the left by one digit2.9184 × 10⁷ AnswerSolve the equation by Factoring.
n²-n-56=0
A) (6,3)
C) (-6,7)
B) -7, 8)
D) -8,8
Step-by-step explanation:
n^2 - n -56 = 0
n^2 -8n +7n-56 = 0
n(n-8) +7(n-8) = 0
(n+7)(n-8) = 0
n = (-7,8)
option B
Christine knits 22 centimeters of scarf each night. Write an equation that shows the relationship between the nights xx and the length knitted y.
The equation that shows the relationship between the nights and the length knitted is y = 22x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the nights = x
Let the length knitted = y
The appropriate equation will be:
y = (22 × x)
y = 22x
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3 9 8 hours. the tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. find the time in which each tap can separately fill the tank
The smaller tap take 25 hours to fill the tank and the larger tap take 10 hours to fill the tank.
How to calculate time taken to fill the tank for each tap?
Given,
Time taken for two tap together to fill the tank = [tex]9\frac{3}{8}[/tex] hours = [tex]\frac{75}{8}[/tex] hours
Time taken for smaller tap to fill the tank = x hours
Time taken for larger tap to fill the tank = x - 10 hours
So,
Tank filled by two tap together in 1 hour = [tex]\frac{8}{75}[/tex]
Tank filled by smaller tap in 1 hour = [tex]\frac{1}{x}[/tex]
Tank filled by larger tap in 1 hour = [tex]\frac{1}{x-10}[/tex]
Then, tank filled by two tap together is equal to tank filled by smaller tap and larger tap. So,
[tex]\frac{8}{75} = \frac{1}{x} + \frac{1}{x-10}[/tex]
[tex]\frac{8}{75} = \frac{x-10+x}{x(x-10)}[/tex]
[tex]\frac{8}{75} = \frac{2x-10}{x^{2}-10x}[/tex]
[tex]8x^{2}-80x = 150x - 750[/tex]
= [tex]8x^{2} - 230x + 750[/tex]
= [tex]2(4x^2 - 115x + 375)[/tex]
= [tex]4x^2 - 100x - 15x + 375[/tex]
= [tex](4x - 15) (x - 25)[/tex]
If, x = [tex]\frac{15}{4}[/tex] then x - 10 for larger tap equal to [tex]\frac{15}{4}[/tex] - 10 = [tex]- \frac{25}{4}[/tex] < 0 hours, so it is impossible.
Then, x must be 25. So, for larger thank is 25 - 10 = 15.
Smaller tap take 25 hours to fill the tank
Larger tap take 15 hours to fill the tank.
Thus, the smaller tap take 25 hours to fill the tank and the larger tap take 10 hours to fill the tank.
Your question is not complete, but most probably your full questions is (image attached)
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answer:
Angles 2, 3, 6, and 7 will be the same with 41 degrees!
Angles 1, 4, 5, and 8 are the same with 139 degrees!
Step-by-step explanation:
Opposite angles are the same so that makes angles 2, 3, 6, and 7 the same at 41 degrees!
The same rule applies to angles 1, 4, 5, and 8 and we have to subtract!
180 - 41 = 139 degrees!
Have an amazing day!!
Please rate and mark brainliest!
10 points!!!!!! help now it is due now!!!!!!!!
Answer:
Step-by-step explanation:
Write the value of x when y is = 7
x = 7
x = -1
x = -4
960 times 1.0 times 10^6
Answer:960000000
Step-by-step explanation:
Answer: 960000000
Step-by-step explanation:
960 times 1.0 times 10^6 look it up !!
Help Algebra 2 Bionomical radical expressions
The product of the radical expression is - 49 + 13√7. option B is the correct answer
From the question, we have
(7-√7)(-6+√7)
= (7) × (-6) + (-√7) × (√7) + (-√7) × (-6) + (7)(√7)
= -42 - 7 + 6√7 + 7√7
= - 49 + 13√7
The product of the radical expression is - 49 + 13√7
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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Which point represents the origin? number line from minus 5 to 5 with point M at minus 4, J at minus1, W at 0, and K at 2. Question 1 options: Point W Point J Point M Point K
The point that represent the origin in the number line is Point W
What is a number line?A number line is a horizontal representation of numbers in parts with equal intervals
The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values at right
number line on -5 to 5 will have the origin at the center and te center here is zero which is similar to p
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Can anybody solve this for me?
Answer:
1. -3
2. 6
3.less than
Step-by-step explanation:
Does the quadratic function
f(x) = 9x² + 6x + 1 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.
[?] real zero(s)
Answer:
it is c
Step-by-step explanation:
you do 9x2 6+1 = 7 + 18 =25
5. What is the range? Explain. (1 point)
The range of the given graph is [5, ∞).
Range.
Range refers the set of possible output values, and if we have the graph, then the set of all possible y values on the graph is defined as the range.
Given,
Here we have the graph.
Through the given graph we have to find the range of the line.
As per the definition of range, we have identified that the range take the value of y axis.
While we lookin into the given graph, we have identified that the starting point of the line is
=> (0, 5)
In this point 0 refers the x coordinate and 5 refers the y coordinate. So, the starting range is 5.
And the end of the line is not pointed.
So, we can consider that this line goes infinitely.
So, the range of the graph is [5, ∞).
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Order the group of rates from least to greatest. 100 oz/min, 2500 g/min, 10 lb/min
Select all equations that can result from adding these two equations or subtracting one from the other.
{x+y=123x−5y=4
A -2x−4y=80
B -2x+6y=80
C 4x−4y=164 x minus 4 y is equal to 16
D 4x+4y=164 x plus 4 y is equal to 16
E 2x−6y=-82 x minus 6 y is equal to
F 5x−4y=285 x minus 4 y is equal to 28
The two equations that can be formed by adding or subtracting is
4x−4y = 16 and 2x − 6y = -8 .
the two equations are : x + y = 12 and 3x − 5y = 4
Adding we get :
x + y = 12
3x − 5y = 4
4x -4y = 16
Subtracting we get:
x + y = 12
3x − 5y = 4
-2x + 6y = 8 or 2x - 6y = -8
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.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the unknown parameters variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
It will be regarded as a phrase. In the following section of this article, you will discover the distinction between an equation and an expression.
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Given that r is a vector 125 km due north, and s is a vector 164 km due south, what are the
hr
magnitude and direction of the sum r + s?
Answer:
39 km due southStep-by-step explanation:
Since the two vector have opposite directions, their sum will be the difference of magnitudes:
r + s = 164 - 125 = 39And the direction is the same with the vector with greater magnitude, so it is south.
Answer:
Magnitude = 39 km
Direction = South
Step-by-step explanation:
Formula we use,
→ r + s
Now the required answer will be,
→ r + s
→ 164 + (-125)
→ 164 - 125
→ 39 km
Thus, answer is 39 km due south.
Spinner has 10 equally sized sections, one of which is blue and nine of which are yellow. The spinner is spun and, at the same time, a fair coin is tossed. What is the probability that the spinner lands on yellow and the coin toss is tails?
The probability that the spinner lands on yellow and the coin toss is tails is 9/10.
What is probability?
Probability shows the likelihood of an event happening. it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1
Probability P=no. outcomes/total no. of the possible outcomes
From the question;
No of blue=1
No of yellow=9
No. of total possible outcome=10
Therefore the probability that the spinner lands on yellow and the coin toss is tails P= 9/10.
P= 9/10
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Write and olve a real-word proublem that involve dividing a decemal by a decimal
We have elaborate below a real-world problem that involves a decimal divided by a decimal.
Since we are given a problem that says that Jake owns a bakery amd he makes 8.5 boxes of cupcakes in 15.5 hours, the question is how many cupcakes he makes in 1 hour .So the time taken is 15.5 and the number of cupcakes made in the 15.5 hours is 8.5. So 15 .5hours=8.5 cupcakes, now dividing both sides by 15.5, we get: 1 hour=8.5/15.5 =0.54 = 1 cupcake, therfore, it needs 1 hour to make 1 cupcake. Here we had two quantities in form of decimals, so there division of expression of decimal dividing a decimal.
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If AL = 27, find AP and PL.
Answer:
AP = 18, PL = 9
Step-by-step explanation:
assuming AL, is a median of the triangle
then AP = [tex]\frac{2}{3}[/tex] AL = [tex]\frac{2}{3}[/tex] × 27 = 18
PL = [tex]\frac{1}{3}[/tex] AL = [tex]\frac{1}{3}[/tex] × 27 = 9
Write the equation of the line that contains the following point and slope. (-2, -7) m = 4/5
The equation of the line that passes through the point and slope (-2, -7) m = 4/5
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line contains the following point and slope. (-2, -7) m = 4/5
y - y1 = m(x - x1)
y + 7 = 4/5(x + 2)
y = 4x/5 + 8/5 - 7
y = 4x/5 - 27/5
Thus, the equation of the line that passes through the point and slope (-2, -7) m = 4/5
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enter the value of x + 26
Numerical factors of a term is also it's coefficient true or false
A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables. For example, in the term 2x, 2 is the coefficient.