The probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.
Large Population Z-test:A hypothesis test called the Z-test uses the z-statistic, which has means and variance and follows the normal distribution. Whenever the variance is known, the Z-test reveals whether 2 population means are distinct. The Z-test is presented asFor the stated question-
mean μ of 10standard deviation σ of 3random sample of size 's' is 10pizzas are consumed n = 90Estimate the probability for the consumed pizzas.
P(x > 90/10) = P(x = 9)
P(x = 9) = P[x - μ/ σ/√n > z > (9 - 10) / (3/√10)]
P(x = 9) = P(z > -1.05)
P(x = 9) = 1 - P(z > -1.05)
P(x = 9) = 1 - 0.1469
P(x = 9) = 0.8531
Thus, the probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.
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The complete question is-
The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3.
what is the probability that in a random sample of size 10, a total of more than 90 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 10 students?)
Which statement describes the graph f(x)=4x^7+40x^6+100x^5?
Answer:
Step-by-step explanation:
Graph crosses the x-axis at x = 0 and has zeros at {-5, -5}.Step-by-step explanation: Note that f(x) factors as follows: f(x) = 4x^5 (x^2 + 10x + 25) …
A 18oz pepsi for 2.00 or a 25 oz for 2.30
Answer: 25 oz for 2.30
Step-by-step explanation:
18oz Pepsi for $2.00
Take 2 divided by 18 = $0.11
25 oz for $2.30
Take 2.3 divided by 25 = $0.09
So 25 oz for 2.30 is better!
In ADEF, the midpoint of the side opposite vertex D is M and the centroid is C. If DM is 42, what are DC and CM?
Answer:
21
Step-by-step explanation:
If it is in the center than DC is 21 and CM is 21
42÷ 2
what is the probability that a five-digit integer chosen at random is divisible by 5? (enter your probability as a percent.) %
The probability that a five-digit integer chosen at random is divisible by 5 is 13.1 %.
Given :
what is the probability that a five-digit integer chosen at random is divisible by 5 .
Probability :
Probability is a branch of mathematics that deals with the occurrence of a random event.
Probability = 9^3 * 8 * 2 / 9 * 10^4
= 729 * 8 * 2 / 9 * 10000
= 5832 * 2 / 9 * 10000
= 11809 / 90000
= 0.131
converting into percentage :
= 0.131 * 100 %
= 13.1 %
Therefore The probability that a five-digit integer chosen at random is divisible by 5 is 13.1 %
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true or false? in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m
The statement "in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m" is true.
Stable pairing is a way which guarantees that all elements from two sets (men and women, children and toys, people and vacation destinations, whatever) are paired with an element from the other set AND that pair is the "best available match".
According to the statement, men are free to create a list of women's according to their preferences. There will be order sequence of women and men places them in queue of their preference. The men proposes the women with highest ranking in the list then it is possible that all men gets their preferred choice.
The pairing is a best available match and therefore can be called as a stable matching problem. Hence the statement is true.
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he production costs, P , for a band to have a concert can be modeled by the equation P=850+5x , where x is the number of concert tickets sold. The band earns $50 for each ticket sold. The band’s goal is for the amount earned on ticket sales minus production costs to equal $5,000 per concert. How many tickets does the band have to sell
Therefore they have to sell 130 concert tickets to equal $5,000 per concert.
What is equation?Equations are logical statements in mathematics with two algebraic expressions on either side of the equals (=) symbol. The expressions on the left and right are demonstrated to be equal in relation to one another. All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain an "equal to" sign, it is not an equation. As an expression, it will be considered. An explanation of the differences between an expression and an equation will be provided later in this essay.
Here,
P=850+5x
so the band’s goal is for the amount earned on ticket sales minus production costs to equal $5,000 per concert.
So new equation formed is
50x-P=5000
50x-(850+5x)=5000
50x-5x-850=5000
45x=5850
x=5850/45
x=130
Therefore they have to sell 130 concert tickets to equal $5,000 per concert.
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Which of the following is factor of 4x² +3x−7?
Answer:
Step-by-step explanation:
BRO what FACTOR????????????????????????///////////////////////
Six points are drawn from uniform distribution U10,1]. The first three points are marked green and the next three are marked red on the real line. What is the probability that all adjacent points differ in color? Pick one of the choices
O 1/20
O 1/10
O 1/6
O 1/5
The probability that all adjacent points differ in color is given as follows:
1/10. (second option).
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the total outcomes, we have an arrangement of 6 elements, due to the six points, with 3 and 3 repetitions, as 3 are green and 3 are red, hence the number of total outcomes is calculated as follows:
[tex]T = A_6^{3,3} = \frac{6!}{3!3!} = 20[/tex]
For the desired outcomes, there are two, given as follows:
Red - Green - Red - Green - Red - Green.Green - Red - Green - Red - Green - Red.This means that the probability that all adjacent points differ in color is calculated as follows:
p = 2/20 = 1/10.
Hence the second option is the correct option.
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answer please!!!! woopp
Answer:
1. infinite
2. no
3. one
4.no
we have discussed four tree-based methods: decision trees, bagging, random forests, and boosting. which approach relies on bootstrapped samples, i.e., taking repeated random samples with replacement from the training data? check all that apply.
The correct answer is boosting.
Given that,
The four tree-based techniques are boosting, bagging, random forests, and decision trees. Which method uses bootstrapped samples, or the process of repeatedly obtaining random samples from training data and replacing them?
Boosting is an emsemble machine learning approach, where we use bootstrapping sampling technique to get the required samples. It helps in the reduction of variance and thus bring in less bias in the sampling approach. Therefore boosting is the correct answer here.
In order to gather the necessary samples for boosting, we employ the bootstrapping sampling technique. It aids in lowering variance, which reduces bias in the sampling strategy. Thus, boosting is the appropriate response in this case.
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Factorise xsquared+ 5x + 6
Answer:
[tex](x+2)(x+3)[/tex]
Step-by-step explanation:
⭐What does factorisation mean?
factorisation is the process of writing a number or a polynomial in terms of its factors⭐What are factors?
factors are the terms that multiply together to create a number or a polynomialThus, we have to write [tex]x^2+5x+6[/tex] in terms of its factors.
I have a picture attached to this response to show you how factorisation works, but I will also explain it here.
How to factorise:
Look at the constant in your polynomial (the term without a variable). In this problem, the constant is 6. Look at the coefficient middle term in your polynomial (the number next to the variable). In this problem, the middle coefficient is 5. Find what numbers multiply together to have a product of 6, and add together to have a sum of 5.The numbers +2 and +3 multiply together to have a product of 6, and add together to have a sum of 5. In the next line, write the polynomial again, but write 5x in terms of the numbers we found.You'll get: [tex]x^2 + 2x +3x + 6[/tex]Now, we can factorise the binomials we see here.⭐What are binomials?just as "bi" means 2, binomials are equations with 2 termsThe binomials are [tex]x^2 + 2x[/tex] and [tex]3x + 6[/tex]To factorise the binomials, find the GCF for both terms of each binomial.The GCF for [tex]x^2 + 2x[/tex] is x.The GCF for [tex]3x+6[/tex] is 3.Now, write the GCFs outside of the parentheses for each binomial and rewrite what's in the parentheses.You'll get: [tex]x(x+2) +3(x+2)[/tex]You should have the same expression in both parentheses.Now, we have to rewrite this expression by keeping what's inside of the parentheses, and putting the terms outside of the parentheses inside parentheses.You'll get: [tex](x+2)(x+3)[/tex]That's it!The picture of factorisation is attached to this response.
⭐ if this response helped you, please mark it the "brainliest"!⭐
A falling object travels a distance given by the formula d=2t+2t^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 59 feet? Round the answer to 4 decimal places.
Which choice is equivalent to 7x^2 − 4 − (x^2 − 4x − 12)?
A 8x^2 − 4x + 88 x 2 − 4x + 8
B 8x^2 − 4x + 168 x 2 − 4x + 16
C 6x^2 − 4x + 86 x 2 − 4x + 8
D 6x^2 + 4x + 8
The correct option for the given equation is D.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to the given equation ,
7x² − 4 − (x² − 4x − 12) ,
we need to simplify the equation,
opening the bracket .
7x² - 4 - x² +4x +12
taking like terms together ,
(7x² -x²) +4x (-4+12)
solving it , we get
6x² + 4x + 8
Hence the option for the given equation is D which is 6x² + 4x + 8.
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Help pls i do not understand.
Answer:help on what?
Step-by-step explanation:
10 points please help!,
There are some nickles, dimes, and quarters in a large piggy bank. For every 2 nickles there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
1. How many nickles, dimes, and quarters are in the piggy bank? Explain.
2.How much are the coins worth?
1. There are 80 Nickels, 120 dimes, and 300 quarters in the piggy bank.
2. The coins worth is $91
How many types of coins are there?
There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.
1 Quarter = 25 cent
1 dime = 10 cents
1 Nickel = 5 cents
1 penny = 1 cent
Assume that, the number of Nickel coins is x.
Given that, 2 nickles there are 3 dimes.
1 nickle there are 3/2 dimes.
x nickles there are 3x/2 dimes.
Also given that,
2 dimes there are 5 quarters.
1 dimes there are 5/2 quarters.
3x/2 dimes there are (5/2) × (3x/2) quarters = 15x/4.
There is 500 coins in the piggy.
Therefore, x + (3x/2) + (15x/4) = 500
(4x + 6x + 15x) /4 = 500
25x/ 4 = 500
x = 80.
The number of dimes is (3 × 80)/2 = 120
The number of quarters is (15 × 80)/4 = 300.
The total cost of 80 nickles, 120 dimes, and 300 quarters is
= [(80 × 5) + (120 × 10) + (300 × 25)] cents
= 400 + 1200 + 7500 cents
= 9100 cents
= $(9100/100)
= $ 91
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Two points defining a linear function are shown in the table below.
-14
-10
O
What is the slope of the function?
223
32
y
-18
-12
2
06
The slope of as per the given points will be equal to 3/2. Hence, option B is correct.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the information given in the table,
The points are (-14, -18) and (-10, -12)
Use the equation given below to find the slope,
m = (y₂ - y₁)/(x₂ - x₁)
Substitute values in above equation,
m = (-12 - (-18))/(-10 - (-14))
m = (-12 + 18)/(-10 + 14)
m = 6/4
m = 3/2
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Write equivalent fractions for
2/3
and
5/12
using the least common denominator.
The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for 5/12 is (4×5)/(4×12) = 20/48.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.
The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.
We have to multiply the same number to both the numerator and denominator to get equivalent fractions.
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suppose that a person with seven friends invites a different subset of three friends to dinner every night for one week (seven days). how many ways can this be done so that all friends are included at least once?
We need to select different combinations of friends for a week and include every friend at least once. The possible number of ways is 72.
What do you mean by Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
What is the formula to calculate Combination?The formula for combination is as follows:
[tex]C(n,r) = \frac {n!}{r!(n-r)!}[/tex]
Number of for first 5 days = C(7,3)+C(6,3)+C(5,3)+C(4,3)+C(3,3)
=70
2 friends are remaining for last two days and we can assign them in any group of 3.
Total number of ways = 70 +2
=72
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How do you simplify 25^(3/2)?
Answer:
I'm sure the answer is 125
Step-by-step explanation:
Hope it helps ; )
4 students can put together 14 puzzles in 7 mins and 30 seconds. How long will it take them to finish 23 puzzles if another person is added and the time is constant?
Please I really need help, ASAP
Step-by-step explanation:
the volume of a pyramid is
base area × inner height / 3
we have the base area : 7×7 = 49 in²
so, we need to get the inner height h.
fit this we need to get the outer height l.
the surface area is
base area (49 in²) + 4×side triangle area = 185 in².
one of these 4 side triangle area is
baseline (7 in) × l / 2
so, we have a surface area
49 + 4×7×l/2 = 185
49 + 2×7×l = 185
49 + 14×l = 185
14×l = 136
l = 136/14 = 68/7 = 9.714285714... in
h we get now via Pythagoras
c² = a² + b²
with c being the Hypotenuse (side opposite of the 90° angle), a and b being the legs.
l² = h² + 3.5²
94.36734694... = h² + 12.25
h² = 94.36734694... - 12.25 = 82.11734694...
h = 9.061862222... in
so, the volume of the pyramid is
49 × 9.061862222... / 3 = 148.0104163... in³ ≈
≈ 148.01 in³
Find the missing value so that the line passing through the points has the given slope
The missing value so that the line passing through the points has the given slope is of:
r = 9.
How to obtain the slope of a linear function?Given two points that are on the graph of the linear function, the slope of the linear function is obtained by the division of the change in y of the two points by the change in x of the two points.
In this problem, the points are given as follows:
(6, r) and (3,3).
Hence the changes are given as follows:
Change in y: r - 3.Change in x: 6 - 3 = 3.Then the equation that gives the slope is of:
m = (r - 3)/3.
The slope has a numeric value of 2, hence the missing value r is obtained as follows:
2 = (r - 3)/3.
r - 3 = 6
r = 9.
Missing InformationThe points are given as follows:
(6, r) and (3,3).
The slope is of:
m = 2.
What is the value of x? Show your work
Answer: x=16
Step-by-step explanation:
The two angles in the picture is equal to each other.
So the 6x + 4 = 100 degree
6x = 96
x= 16
The answers u see already answered is not right an I need help with them
Answer:
GOOD MORNING
Step-by-step explanation:
I AM SINGLE
what is the value of 3 + 4x when x =4
Answer: 19
Step-by-step explanation:
4x in this equation is equal to 4(4), which equal sixteen, adding the three will then get you 19
Answer: 19
Step-by-step explanation:
Insert 4 into the x in the equation.
3+ 4 × 4
Multiply.
4 × 4 = 16
Add.
3 + 16= 19
Hope this helps!
the mean and standard deviation of individual purchases in our grocery store is $101.15 and $12.15 respectively. if we have 85 customers today and they follow this distribution, 5% of the time our total revenues will exceed what value?
Total Total revenues will exceed = 8782.01
What is Total Revenue?
Total revenue is the overall sum of money received by a business through the sale of its products and services. Based on demand and price, it measures how successfully a company is generating revenue from its main operations.
Let x - normal (101.15 ,12.15)
where µ = 101.15
σ = 12.15
Mean for 85 customers
µ = 85 * 101.15 =8597.75
standard deviation for 85 customers
σ = [tex]\sqrt{85}[/tex] * 12.15 = 112.017
P ( x >x₁ ) = 0.05
P ( x-µ/ σ > x₁-8597.75/112.017) = 0.05
P (Z >Z₁) = 0.05
Where
Z₁ = x- 8597.75/112.017
Z₁ = 1.645
Then x = 112.017 *1.645 +8597.75
x = 8782.01
Total total revenues will exceed = 8782.01
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what is the probability that the lifetime of at least one component exceeds 5? (do not round intermediate values. round your answer to three decimal places.)
Therefore, the probability that the lifetime X of the first component exceeds 5 is 0.006737, based on process.
What is probability?Probability theory examines numerical illustrations of the probability that an event will happen or that a statement is true. An event's probability is expressed as a number between 0 and 1, with 1 generally denoting certainty and 0 generally denoting impossibility.
Here,
f(x,y) =[tex]xe^{-x(1+y)}[/tex]
Took the double integral of the equation above, first the integral with respect to y (from 0 to infinity) and then with respect to x (from 5 to infinity).
therefore the integration,
[tex]\int\limits^ {infinity}_0{xe^{-x(1+y)} } \, dx[/tex]
[tex]\left \{ {{y=infinity} \atop {x=0}} \right. \frac{-x}{y+1} e^{-x(y+1)} + \frac{1}{y+1} \int\limits^{infinity} _0{ e^{-x(y+1)} \, dx[/tex]
[tex]=\frac{1}{(y+1)^2}[/tex]
[tex]fX(x)[/tex] is easier with:fX(x) =[tex]\int\limits^{infinity}_0 {x}e^{-(x(y+1))} \, dy[/tex]=[tex]xe^{-x} \int\limits^{infinity}_0 x {e^{-xy} } \, dy=e^{-x}[/tex]
We get
We used u substitution to end up with [tex]e^{-x(1+y)}[/tex] which is needed to evaluate from 0 to infinity, which left me with [tex]e^{-x}[/tex]
Then the integral with respect to x from 5 to infinity which left with an answer of [tex]e^{-5}[/tex]
So the probability that the lifetime X of the first component exceeds 5 is 0.006737, based on my process.
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if log2 ab = 5 and log3 b = 4 then a =
help??
(test 7, 14) ignore this line its for my own reference
The value of a in the equation is 32/81
How to determine the value of aFrom the question, we have the following parameters that can be used in our computation:
log2 ab = 5 and log3 b = 4
Rewrite the above equations properly
So, we have the following representations
log₂ ab = 5 and log₃ b = 4
Apply the exponent law of logarithm
This gives
ab = 2⁵ and b = 3⁴
Divide both equations
So, we have the following representation
ab/b = 2⁵/3⁴
Evaluate the quotient
a = 32/81
Hence, the value of a is 32/81
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How do you convert 2 as a percentage?
Is it linear or exponential?
Answer: Linear
Step-by-step explanation:
