Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
The volume of this rectangular prism is 240 cubic centimeters. What is the surface area?
wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 2,000,000. 18) Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3.5% of the people in the area where a large wedding is to be held are pollotarian.
This means that [tex]p = 0.035[/tex]
300 guests
This means that [tex]n = 300[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.035[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]
What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?
This is 1 subtracted by the pvalue of Z when X = 0.05. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]
[tex]Z = 1.41[/tex]
[tex]Z = 1.41[/tex] has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:7.93%
Step-by-step explanation:
HELP ASAP
Find the value of x. Round to the
nearest tenth.
16
Х
x = [?]
Answer:
x = 9. 177
Step-by-step explanation:
In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8
2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2
United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.
Answer:
uh
Step-by-step explanation:
Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.
Answer:
Raja made an error in d equality sign in d answer
Step-by-step explanation:
-3x< or =6
when dividing both sides by -(negative)3, the sign 4 d answer changes
x > or = -2
Solve using substitution. You MUST find both variables to be crowned brainiest
2x + 4y = 40
x - 6y = -36
The length of one rectangle is 3 1/2 mm with a width of 2 4/5 mm . What is the area of the rectangle?
Answer:
9.8
Step-by-step explanation:
Kyle fills the candle mold with liquid candle wax. If
the candle has a volume of 99 cubic inches, what is the
width of the mold?
Answer:
w = 3 inches
Step-by-step explanation:
Given that,
The volume of the candle, V = 99 cubic inches
Length, l = 11 inches
Breadth, b = 3 inches
We need to find the width of the candle. The candle is in the form of a cuboid. The volume of cuboidal shape is given by :
[tex]V=lwh[/tex]
Put all the values,
[tex]w=\dfrac{V}{lb}\\\\w=\dfrac{99}{11\times 3}\\\\w=3\ inches[/tex]
So, the width of the mold is 3 inches.
If 12% of x is 72 and 1/8 of y is 16 what is the value of x-y
Answer:
x is 600 and y is 128:
so the answer is 472!
hello trying to find Anokhi44 because the question I was talking to them got deleted soooooo and i can't find them .
2+2=
Answer:
4
Step-by-step explanation:
That sucks hope you find them.
please answer!
The expression 8x − 4 represents the
cost of 8 pairs of socks Emma bought,
less the $4 coupon she had. Which
property is applied to the expression to
write the equivalent expression
4(2x − 1)? Explain.
Answer:
Step-by-step explanation:
distributive property
Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20
Answer: -18, l-17l, l-18l, l19l, 20
Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.
Find the Domain and Range
Answer:
See explanation below
Step-by-step explanation:
Domain = [tex]-7\leq x\leq infinity[/tex]
Range = [tex]-1<y<infinity[/tex]
Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.
What is the area of the right angle
Answer:
3.84 inches squared
Step-by-step explanation:
The area of a triangle is given by the formula:
Area = 1/2 * base * height
In this problem, our side lengths are:
Base = 2.4 inches
Height = 3.2 inches
So, our area can be found:
Area = 1/2 * 2.4 * 3.2 = 3.84 inches squared
Solve the equation. Check your solution.
30) x/4 = 9
Answer:
x = 36
Step-by-step explanation:
x/4 = 9
multiply both sides by 4
x/4 (4) = 9(4)
x = 36
The answer is x = 36
We can check by plugging in x = 36 to the original equation:
x/4 = 9
(36)/4 = 9
9 = 9
Correct
Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same position. For example, the Social Security numbers 120-90-1109 and 430-20-5402 have matching zeros.
Prove: Given a collection of 513 Social Security numbers, there must be two that match zeros.
Answer:
Proved
Step-by-step explanation:
From the given parameters, we have:
[tex]n = 9[/tex] i.e. the length of each security numbers
[tex]r = 2[/tex] i.e. 2 security numbers
Required
In 513 security numbers, 2 must have matching zeros
To do this, we make use of Pigeonhole principle.
First, we calculate the number of all security numbers not having matching zeros.
Each of the 9 digits can be selected in 2 ways.
2 ways implies that each digit is either 0 or not
So, total selection is:
[tex]Total = 2^9[/tex]
[tex]Total = 512[/tex]
Apply Pigeonhole principle
The principle states that: suppose there are n items in m containers, where [tex]n>m[/tex], then there is at least one container that contains more than 1 item.
This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.
[tex]512 + 1 = 513[/tex]
HS: Algebra 2A [M] (Prescriptive) (GP)/ 5 Quadratic Functions
2. Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y=(x - 5)(5x+4)-5x?
linear function
linear term: 15x
constant term: -25
quadratic function
quadratic term: 5x?
linear term: 15x
constant term: -25
quadratic function
quadratic term: -5x?
linear term: -21%
constant term: -20
linear function
linear term: -21x
constant term: -20
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Answer:
Linear, the linear term is -21x and the constant term is -20. Last option is the answer
Step-by-step explanation:
We are given the following function:
[tex]y = (x - 5)(5x + 4) - 5x^2[/tex]
First we have to simplify y, before solving the question:
[tex]y = (x - 5)(5x + 4) - 5x[/tex]
Applying the distributive property:
[tex]y = 5x^2 + 4x - 25x - 20 - 5x^2[/tex]
[tex]y = 0x^2 - 21x - 20[/tex]
[tex]y = -21x - 20[/tex]
No quadratic term, so it is linear.
The linear term is -21x and the constant term is -20.
guys help this makes no sense you will get lots of points for a real answer
please answer asap! no scam links or scam comments or reported.
Answer:
B
Step-by-step explanation:
\sqrt{-x+26}=x-6 −x+26=x−6
Answer:
x = 1 and 10
Step-by-step explanation:
Given the equation \sqrt{-x+26}=x-6, we are to find the value of x
Take the square of both sides
(\sqrt{-x+26})²= (x-6)²
-x+26 = (x-6)²
Expand the parenthesis
-x+26 = x²-12x+36
x²-12x+36+x-26 = 0
x²-11x+10 = 0
x²-10x-x +10 = 0
x(x-10) -1()-10) = 0
(x-1)(x-10) = 0
x - 1 =0 and x - 10 = 0
x = 1 and 10
Hence the value of x is 1 and 10
Kelsey gave the cashier $30 to pay for 4 pounds of steak. The cashier gave her $3.12 in change. Each pound of steak cost the same amount. What is the cost in dollars and cents for each pound of steak? A. $26.88 A. , $26.88, , , , , , B. $6.72 B. , $6.72, , , , , , C. $7.50 C. $7.50, D. $8.28
Answer:
B
Step-by-step explanation:
30-3.12=26.88 divide that by 4 and you get 6.72
Answer:
The Answer is B, $6.72
Step-by-step explanation:
30-3.12= 26.88
26.88÷ 4= 6.72
Which of the following statements is NOT true for figures and their dilation when the origin is the center of dilation?
Answer:
Here are two ways to help with dilation as cm counting can help and so can division.
Step-by-step explanation:
1. Image of a Button enlarged 5 times and shows it is 6cm image is divided by 5 and shows a decimal 1.2 etc. so you write 1.2cm
2. Coordinates shown of A : B : C can be found from their cm measurement we measure the AB and BC measure being; Adjacent (m1) and Hypotenuse (m2) in cm and include any decimals. alternately if they are difficult to count then we take coordinates of AB BC or any adjacent and hypotenuse coordinates to suit y2-y1 / x2-x1 and enter those as our measure and just ensure they are turned positive to enter into calculator.
Note m = measure here found after the above is done.
Then Calculate Adjacent / Hypotenuse = m1/m2 = multiplier
Then input the multiplier to cos-1 found on your shift button.
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
Find the mean for the scores: 3.850; 5,300: 8,540; 4.300; 5,360.
Answer:5470
Step-by-step explanation:The mean is the average of the data collected in the graph.Step one add everthing together which is 3,850+ 5,300+ 8,540+ 4,300+5,360=27,350, Step two divide 27,350 with the total amount of numbers that's in the graph which is 5 if you divide those two number together you will get on average 5,470.
If y varies directly with n and inversely with m, and y = 3 when n = 6 and m = 10, then what is y when n = 12 and m = 3?
A.45
B.4/5
C.5
D.20
Answer: The answer is (c) 5
Step-by-step explanation: just know
An algebraic expression that contains three terms is called
Answer:
Trinomial
Step-by-step explanation:
Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.
hope this helps:)
Answer: An algebraic expression that contains three terms is called trinomial
Hope this helps!
What is the Area of the right angle
Answer:
141.96
Step-by-step explanation:
The area or solution for the area of a triangle is base* height divided by 2 so what I did was 31.2cm as the base and 9.1 as the height and I multiplied them together and then I divided by 2! Hope this helped!
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
D) ONK and MNK
Step-by-step explanation:
All the other choices are either corresponding or vertical angles
WILL GIVE BRAINLIEST!
Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.) 210
C.)500
D.) 400
Answer:
I'm not sure how to answer this.
Step-by-step explanation:
Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?
Maybe post another question and rephrase it.