Conversion factor [tex]= \frac{final serving}{initialserving}[/tex][tex]=\frac{5}{2} =2.5[/tex]
The recipe conversion factor is 2.5
acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. to ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows one defect.
Let X represent the number of defects.
When n=20 and p = 0.01,
Likelihood = P(Acceptance) = P(X=0) + P(X=1)
= 20C0 * (0.01)^0 * (1-0.01)^(20) + 20C1 * (0.01)^1 * (1-0.01)^(20-1) = 0.9831
When n=20 and p = 0.02,
Likelihood = P(Acceptance) = P(X=0) + P(X=1)
= 20C0 * (0.02)^0 * (1-0.02)^(20) + 20C1 * (0.02)^1 * (1-0.02)^(20-1) = 0.9401
When n=20 and p = 0.05,
Likelihood = P(Acceptance) = P(X=0) + P(X=1)
= 20C0 * (0.05)^0 * (1-0.05)^(20) + 20C1 * (0.05)^1 * (1-0.05)^(20-1) = 0.7358
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Lisa has a beige skirt, a black skirt, and a denim skirt. She has a red sweater and
a white sweater, and she has a white blouse, a blue blouse, and a green blouse.
How many different ways can she wear a skirt, sweater, and blouse together?
There are 18 combinations that Lisa can wear by shuffling skirts, sweaters, and blouses together.
Given,
Number of skirts = 3
Number of sweaters = 2
Number of Blouse = 3
By using permutation and combination formula nCr = n! ÷ (r! (n-r)!),
3C1 × 2C1 × 3C1
= (3!) ÷ ((3-1)! × 1!) × (2!) ÷ ((2-1)! × 1!) × (3!) ÷ ((3-1)! × 1!)
= (3!) ÷ ((2)! × 1!) × (2!) ÷ ((1)! × 1!) × (3!) ÷ ((2)! × 1!)
= ((3 × 2 × 1) ÷ (2 × 1 × 1)) × ((2 × 1) ÷ (2 × 1 × 1)) × ((3 × 2 × 1) ÷ (2 × 1 × 1))
= (6 ÷ 2) × (2 ÷ 1) × (6 ÷ 2)
= 3 × 3 × 2
= 18
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A model rocket reaches a maximum height of 2000 feet above ground and begins to
descend at a rate of 75 feet per second. Which equation models the height above
ground, y, of the model rocket, x seconds after it reaches its maximum height?
The equation which is best representing the height above ground, y, of the model rocket and x seconds after it reaches the maximum height is 75x + y = 2000.
The height above ground, y, of the model rocket, x seconds after it reaches its maximum height can be represent by a linear equation,
The maximum height is 2000 feet, after this the rocket starts to descend with a rate of 75 feet per second.
Let us say that when the rocket starts descending, our time is started from zero,
So, on plotting these points of graph, we can one point, (0,2000).
The rate of descend is the slope m of the graph,
m = -75 ft/s
We are taking it negative because height is decreasing with time,
We can use the point slope form of equation of line,
It says, if a line passes through (a,b) and has slope m. Then the equation of line is,
(y-b) = m(x-a)
So, our line is passing through (0,2000) and has slope -75 ft/s.
So, equation of the line is,
(y-2000) = -75(x-0)
75x + y = 2000.
This above equation of line is representing the relation between the height above ground and time of the model rocket.
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Answer this question for me
Answer:
R ≈ 3.97 %
Step-by-step explanation:
Use your equation to complete the table. grams of fish 1500 number of calories 3000
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5+5=10
Please see attached question
The probability that the student is a sixth-grader or rated good grades as most important is (168 / 335) + (135 / 335) = 0.904
What is the probability?Probability is used to determine the odds that a random event would happen. The odds that the event would happen lies between 0 and 1.
The probability that the student is a sixth-grader or rated good grades as most important = (number of sixth-graders / total number of students) + (students who rates good grades as most important / total number of students)
(168 / 335) + (135 / 335) = 303 / 335 = 0.904
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HELP STANDARD DEVIATION
(please show work too)
What is the standard deviation of these numbers:
1,1,2,2,3,3,3,4,4,4,5,5,6,6
Answer: 1.5923926292577
Step-by-step explanation: Count, N: 14
Sum, Σx: 49
Mean, μ: 3.5
Variance, σ2: 2.5357142857143
Steps
σ2 =
Σ(xi - μ)2
N
=
(1 - 3.5)2 + ... + (6 - 3.5)2
14
=
35.5
14
= 2.5357142857143
σ = √2.5357142857143
= 1.5923926292577
5 men take 28 days to build a boat. Assuming the men work at the same rate, calculate the number of men needed to build a boat in 20 days.
choose if the following statement is true or false: correlation is sensitive to the scale of the data; however, covariance is not sensitive to the scale of the data
Correlation is not sensitive to the scale of the data; however, covariance is sensitive to the scale of the data, so the statement is false.
Covariance is a term used in statistic and regression analysis. Covariance shows how two variables differ.
Covariance is affected by the change in scale, for example if all the value of one variable is multiplied by a constant and all the value of another variable are multiplied, by the same or another constant all together, then the covariance is automatically changed.
Correlation is also a term used in regression analysis and statistics. Correlation shows how two variables are related and therefore not influenced by the change in scale.
Hence the given statement is False
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Given m|n, find the value of x.
(10x-2)°
(9x+5)°
Answer:
x = 7
Step-by-step explanation:
(10x - 2) and (9x + 5) are corresponding angles and are congruent , then
10x - 2 = 9x + 5 ( subtract 9x from both sides )
x - 2 = 5 ( add 2 to both sides )
x = 7
A grocery store sells steak for $3.10 per pound. To feed a family, you need 2.14 lbs. of steak. How much do you pay in total
Evaluate. Write your answer as a whole number or as a simplified fraction.
4^-2 / 6^3
Answer:
Your answer is [tex]\frac{1}{864}[/tex]
Step-by-step explanation:
[tex]4^{-1}[/tex] ÷ [tex]6^{3}[/tex] [tex]= 0.0011574074[/tex] or [tex]\frac{1}{864}[/tex]
At noon the temperature was 45°F. At
7 A.M. the temperature was 17°E.colder.
The temperature at 7 P.M. Was 4°F .
warmer than at 7 A.M. What was the.
temperature at 7 P.M.?
The temperature at 7 P.M is 32 °F.
What is a temperature in fahrenheit?Fahrenheit temperature scale, scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.
Given that,
Temperature at noon = 45 °F
At 7 A.M. the temperature was 17°F colder = 45-17
= 28 °F
The temperature at 7 P.M. Was 4°F warmer than at 7 A.M
= At 7 A.M. the temperature was 17°F colder + 4°F
= 28+4
= 32 4°F
Hence, The temperature at 7 P.M is 32 °F.
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given f(x)=3x-1 and (f∘g)(x)=x^2, find g(x)
The value of g(x) is [tex]\frac{x^{2} }{3x-1}[/tex] of a function f(x)=3x-1 and (f∘g)(x)=[tex]x^{2}[/tex] .
As the composite equation is [tex]f(X)=3x^{}-1[/tex]
[tex](FOG)= x^{2}[/tex]
As [tex](FOG) =f(gx^{})\\[/tex]
∴ [tex]3x-1(gx)=x^{2}[/tex]
⇒ [tex]gx=\frac{x^{2} }{3x-1}[/tex]
How to solve the Equation of (fog)?(fog)(x) = f(g(x)) is pronounced "f of g of x" or "f constructed with g of x." Keep in mind that the letters in each expression for the composition remain in the same order.
A composite function is a fog. G(x) function is in f(x) function if (fog) is true. (Gof) indicates that f(x) function is in g(x) function.
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Question 5 (05.05)Based on the graph, what is the initial value of the linear relationship?
4
1) Examining that graph, we can see that this is a decreasing function, due to the line direction. And that the initial value is the y-intercept.
2) Hence, the initial value is 4. Notice that all values after that goes decreasing for y.
you have a sample of contaminated benzoic acid that weighs 2.014 g. after performing a proper recrystallization with proper drying, the mass of your purified benzoic acid is 1.611 g. what is your percent recovery rounded to the nearest tenths? do not include the percent symbol in your answer (e.g., if your answer is 10.5%, submit your answer as 10.5).
The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.
The percent recovery can be described as the amount of a product available after its production and purification.
The percent recovery of benzoic acid can be calculated by using the following formula:
percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100
Substituting the given values of contaminated and purified benzoic acid in this equation;
percent recovery = (1.611 ÷ 2.014) × 100
percent recovery = 0.7999 × 100
percent recovery = 79.99
Rounding it to the nearest tenth;
percent recovery = 80.0
Hence the percent recovery of benzoic acid is calculated to be 80.0
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if luna adds 1/2 cups of flour to a mixing bowl for a recipe 5 times, how much flour has she added?
Answer:
10 cups
I hope this helps, have a great day/night!
What is the y intercept of the function shown?
Answer:
-2
Step-by-step explanation:
The line passes through the y-intercept at the point (0, -2)
I need to know how to rewrite the expression using the distributive property of multiplication over addition
Given the following expression:
[tex]\text{ 10(3 + 2)}[/tex]Rewriting this using the distributive property of multiplication over addition will be:
[tex]\text{ 10(3) + 10(2)}[/tex]Therefore, the answer is letter B - 10(3) + 10(2)
»How many lines of symmetry does this figure have? x
Answer:
15
Step-by-step explanation:
Nina bought 1.725 pounds of pecans and 1.83
pounds of almonds. She also bought twice as many
pounds of walnuts as pecans. How many more
pounds of walnuts did she buy than almonds?
Nina bought 3.45 pounds of walnut.
Nina bought 1.62 pounds more walnut than almonds
Quantity of pecan bought by Nina = 1.725 pounds
Quantity of almonds bought by Nina = 1.83 pounds
The process of comparison of numbers establishes the similarities between two numbers and determines which number is greater, smaller, or equal to another number.
Quantity of walnuts = 2*Quanitity of pecans
= 2*1.725
= 3.45 pounds
So, she bought 3.45 pounds of walnut
Pounds of walnuts bought more than the almonds = Quantity of walnuts bought by Nina - Quantity of almonds bought by Nina
= 3.45 - 1.83
= 1.62 pounds
So, she bought 1.62 pounds more walnuts than almonds
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DIVIDE THE POLYNOMIALS USING LONG METHOD. QUESTION 1 Divide (x4 + 2x³ - 13x² - 38x - 24) + (x + 4)
Answer:
QUESTION 1: x³ - 2 x² - 5 x - 18 remainder 48
Tamika bought snacks for her team's practice. She bought a bag of oranges for $2.19 and a 12-pack of juice bottles. The total cost before tax was $8.31. Which tape diagram could be used to represent the context if xx represents how much each bottle of juice costs?
The cost of each bottle of juice is $0.51.
What is a tape diagram?The tape diagram can be used to illustrate the relationship between the numbers that are given.
Let the cost of each bottle of juice be x.
In this case, she bought a bag of oranges for $2.19 and a 12-pack of juice bottles and the total cost before tax was $8.31.
This will be:.
2.19 + 12x = 8.31
Collect like terms
12x = 8.31 - 2.19
12x = 6.12
Divide
x = 6.12 / 12
x = 0.51
The cost is solved. Note that the tape diagrams weren't given but the.coat is solved accordingly.
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Find 3 consecutive numbers whose sum is 132
Answer:
Integer 1- 43
Integer 2- 44
Integer 3- 45
Step-by-step explanation:
x+(x+1)+ (x+2)=132
3x+3-3=132-3
3x=127
/3 /3
x=43
x+1=44
x+2=45
Suppose a batch of steel rods produced at a steel plant have a mean length of 187 millimeters, and a variance of 64.
If 416 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than
0.65 millimeters? Round your answer to four decimal places.
If g :R → R is given by g(x) = x2 + 3 , find the function f such that (g. f) (x) = 4x2 + 3. A. 3x B. 4x C. 2x D. None of these
Given:
[tex]\begin{gathered} g(x)=x^2+3_{} \\ (g\circ f)(x)=4x^2+3 \end{gathered}[/tex][tex](g\circ f)(x)=g(f(x)[/tex]Let substitute one by one from the given options.
[tex]\begin{gathered} g(3x)=(3x)^2+3 \\ g(3x)=9x^2+3 \end{gathered}[/tex]3x is not the function f.
[tex]\begin{gathered} g(4x)=(4x)^2+3 \\ g(4x)=16x^2+3 \end{gathered}[/tex]4x is not the function f.
[tex]\begin{gathered} g(2x)=(2x)^2+3 \\ g(2x)=4x^2+3 \end{gathered}[/tex]2x is the function f.
[tex]f(x)=2x[/tex]Option C is the final answer.
The daytime temperature in Montana yesterday was -4.5 degrees, and it was expected to drop 6.5 more degrees today. What is today’s expected daytime temperature?
-11 degrees is the expected daytime temperature for today
The daytime temperature yesterday in Montana = -4.5 degrees
Expected temperature drop today = 6.5 degrees
The term "temperature" describes how hot or cold the atmosphere is and is measured with a thermometer. Temperature is reported by meteorologists in both Celsius (C) and Fahrenheit (F).
Today's expected daytime temperature:
The daytime temperature yesterday in Montana + Expected temperature drop today
But since the temperature of yesterday is negative we will use a negative sign to add the expected temperature of today. A drop in temperature will lead to a more cold temperature
= -4.5 + (-6.5)
= -11 degrees
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Solve for U.
-3 + 2u + 6 = -8u - 7
What does U equal?
Answer:
U = -1
Step-by-step explanation:
Answer:
u=-1
Step-by-step explanation:
-3 + 2u + 6 = -8u - 7
2u-3+6=-8u-7
2u+3=-8u-7
we will collect like terms
2u+8u=-7-3
10u=-10
u=-1
rate as brainliest
Please help!
6|x - 8| ≤ 12
x ≤ ?
x ≤ ?
Answer: 10, 6
Step-by-step explanation:
[tex]6|x-8| \leq 12\\\\|x-8| \leq 2\\\\-2 \leq x-8 \leq 2\\\\6 \leq x \leq 10[/tex]
a racing car consumes a mean of 103 gallons of gas per race with a variance of 36. if 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? round your answer to four decimal places.
The probability that the sample mean would be greater than 101.5 gallons
P(x>101.5)=0.9382
This is further explained below.
What is the probability?Generally, From this population, a sample with the size n=38 is taken and analyzed.
Let's say that x is the sample's mean value.
It may be concluded that the sample distribution of the x-bar is about normal with
Mean =103
Standard deviation=0.9733
Now, the expression for the probability looked for is P(x>101.5)
[tex]=&\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x}}\right) / \sigma_{\bar{x}} > \left(101.5-\mu_{\bar{x}}\right) / \sigma_{\bar{x}}\right][/tex]
Where
P=Probabilty
x=mean
[tex]\mu[/tex] is population mean
[tex]\sigma[/tex]= Standard deviation
[tex]\\&=\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x})} / \sigma_{\bar{x}} > (101.5-103) / 0.97332852678\right]\right.\end{aligned}[/tex]
= P[Z > -1.54]
P(x>101.5)=0.9382
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