Hello, I would like to know how to solve this question. I’m having quite the trouble, so I would appreciate accuracy!
(8a^-3)^-2/3
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Suppose that 65% of high school students eat breakfast before going to school. A random sample of 500 high school students were surveyed. Let X = the number of high school students in a random sample of size 500 who eat breakfast before going to school.
1. Explain why X can be modeled by a binomial distribution even though the sample was selected without replacement.
2. Use a binomial distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.
3. Justify why X can be approximated by a Normal distribution.
4. Use a Normal distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.
Answers
Answer:
1.) very large sample size
2.) 0.11326
3.) np and n(1-p) should be ≥ 10
4.) 0.010809
Step-by-step explanation:
Given :
p = 0.65 ; n = 500
2.)
P(x ≤ 300)
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using a binomial probability calculator :
P(x ≤ 300) = 0.11326
To justify why if it can be approximated using a normal distributon :
np and n(1-p) should be ≥ 10
np = 500 * 0.65 = 325
n(1-p) = 500(1 - 0.65) = 175
4.) probability using normal distribution estimate:
Mean, m = np = 500 * 0.65 = 325
Standard deviation, s = sqrt(n*p*(1-p)) = sqrt(500*0.65*(1 - 0.65)) = sqrt(113.75) = 10.665
x ≤ 300
Correction:
x = x + 0.5 = 300 - 0.5 = 300.5
P(x ≤ 300.5)
Zscore = (x - m) / s
Zscore = (300.5 - 325) / 10.665
Zscore = - 24.5 / 10.665
Zscore = - 2.297
P(Z ≤ - 2.297) = 0.010809
X can be modeled by a binomial distribution even though the sample was selected without replacement because the sample size is too large, and the probability that 300 or fewer high school students in the sample eat breakfast before going to school is 0.010809.
Given :
Suppose that 65% of high school students eat breakfast before going to school. A random sample of 500 high school students was surveyed. Let X = the number of high school students in a random sample of size 500 who eat breakfast before going to school.1) X can be modeled by a binomial distribution even though the sample was selected without replacement because the sample size is too large.
2) The formula for the binomial distribution is given by:
[tex]\rm P (x=x)= \; ^nC_x \times p^x \times (1-p)^{n-x}[/tex]
Now, substitute the known terms in the above formula.
[tex]\rm P (x\leq 300)= \; ^{500}C_x \times (0.65)^x \times (1-0.65)^{500-x}[/tex]
Simplify the above expression.
[tex]\rm P(x \leq 300)=0.11326[/tex]
3) Now, the value of np and n(1 - p) is given below:
np = 500 [tex]\times[/tex] 0.65 = 325
n(1 - p) = 500 [tex]\times[/tex] (1 - 0.65) = 175
X can be approximated by a Normal distribution because the value of np and n(1 - p) is greater than or equal to 10.
4)
First, determine the standard deviation.
[tex]\rm \sigma = \sqrt{np(1-p)}[/tex]
[tex]\rm \sigma = \sqrt{500\times 0.65 \times (1-0.65)}[/tex]
[tex]\rm \sigma = 10.665[/tex]
Now, the z-score can be calculated by using the formula:
[tex]\rm z =\dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm z =\dfrac{300.5-325}{10.665}[/tex]
z = -2.297
So, the probability that 300 or fewer high school students in the sample eat breakfast before going to school is given by:
[tex]\rm P(Z\leq -2.297) = 0.010809[/tex]
For more information, refer to the link given below:
https://brainly.com/question/795909
4) Find the total area of each figure."
10 points
10
5
10
5
5
10
5
10
75
ООО
О 100
125
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Answer:
125
hope it's helpful ❤❤❤❤
THANK YOU.
When the outlier(s) are removed, how does the mean change? dot plot with 1 dot over 15, 1 dot over 23, 1 dot over 24, 1 dot over 25, 1 dot over 26, 1 dot over 27, and 1 dot over 35
The mean doesn't change.
The mean increases by 2.
The mean decreases by 2.
There are no outliers.
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Answer:
So the answer is A-The mean doesn't change
Step-by-step explanation:
With the outliers the mean is 25, how?
well if we put down the numbers 15,23,24,25,26,27,35 and add them together 15+23+24+25+26+27+35 we get 175 now we have to divide by how many numbers are there 175/7=25. That is the mean WITH the outliers.
Now, WITHOUT the outliers. The outliers are 15 and 35. We know this because, there is a huge gap between 15 and 23, and 27 and 35. We basically do the same thing but without the outliers. 23+24+25+26+27=125 we divide by how many numbers are there 125/5 then we get 25.
Hey love! <3
Answer:
The correct answer is A. The mean doesn't change
Step-by-step explanation:
Since this is a dot plot, first we have to count up the total x-axis amount from the dot plots, then divide it by the numeral amounts (y-axis), then repeat this after removing the outlier from the dot plot.
Thus, the mean remaining the same.
Hope this could help! ~,~ Sincerely, Kelsey from Brainly
~ #LearnWithBrainly ~
Byron lives where the people trade goods they produce for other things they need. He has some fish that he has caught, and he wants to trade them for as many bananas as he can. He asks around to find out what is being traded and finds out the following:
Five fish are worth the same as two loaves of bread.
Six oranges are worth the same as two melons.
One loaf of bread is worth the same as one banana plus three oranges.
Four loaves of bread are worth the same as fourteen oranges.
Question: How many bananas can Byron get with five fish?
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Answer:
Step-by-step explanation:
Five fish equals two bread, and two bread equals two bananas (plus however many oranges), therefore he can get two bananas.
What value(s) of z makes the equation 7/6 Z + 1/3 = -5 / 6 true; Z = -1, Z= 2, Z= 1, or Z= -36 / 63?
Answers
Answer:
Z = -1
Step-by-step explanation:
to find which value of Z makes the equation true substitute each value of Z into the equation.
Z = -1
7/6(-1) + 1/3 = -5/6
-5/6=-5/6
all other values of Z will not give u an equal statement
Solve for t.
-18 = 6t
A. t = -3
B. t = -1/3
C. t = 12
D. t = 24
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Answer:
A) t = -3
Step-by-step explanation:
-18 = 6t
divide both sides of the equation by 6
-18/6 = 6t/6
-18/6 = t
-3 = t
−18=6t
6 6. that’s a fraction
t=-3
PLZ HELP FASTTTTTT I NEED IT RN
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Answer:
sorry i don't know
Step-by-step explanation:
(m+1)x=n-x
Solve for X, when m≠-2
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Answer:
Step-by-step explanation: Factor
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Which rule describes the x-coordinates in the translation below?.
A.x + 0
B.x + 6
C.x - 6
D.x + 2
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3x – 2y = 24
x + 2y = 48
x =
y =
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point form: (18,15)
3y=-5x-3 y=-x+1 I am stuck on this ;-; 3
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Given Expression: 3y = -5x - 3
y = -x + 1
--------------------------
3y = -5x - 3
3(-x +1) = -5x - 3 ^ Substitution Property
-3x + 3 = -5x - 3 ^ Distributive Property
2x + 3 = -3 ^ Addition POE
2x = -6 ^ Subtraction POE
x = -3 - Answer
Can y’all help me on 23?!
Answers
If the ratio of red to white is 2:10 then then there are 200 white cars.
Explanation:
15 divided by 3 is 5. So you multiply 8 by 5 to get 40. 40:15 reduces to 8:3.
With 40 red cars the ratio of 2:10 would be made into 40:200.
The fractions/ratios have to remain proportional.
Bradley has a $110 budget to spend on clothes. He wants to buy a
pair of jeans for $49 and spend the rest on t-shirts. Each t-shirt cost
$13.
How many t-shirts can bradley buy without going over his budget
Answers
Answer:
4 Shirts
Step-by-step explanation:
Answer:
Bradley can buy 4 t-shirts.
-------------------------------------------------------------------------------------------------------------- WORK~
110-49= 61
$61.00
61 divided by 13 equals 4.69230769231
He can't buy half a shirt so he can buy 4 shirts without going over budget.
Step-by-step explanation:
May I have brainiest lease I'm trying to level up!
</3 PureBeauty
1.
Gina buys a new TV for $999.00. She buys during a promotion at the store where she gets a 12
percent discount. She will also pay eight percent in sales tax.
True or false: Gina will pay eight percent in tax on $999.00, the price of the TV.
options:
O True
O False
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There are 140 rooms in a hotel. 20% have been decorated since the hotel opened. How many have not been redecorated?
Answers
Answer:
112 rooms
Step-by-step explanation:
Simply if 10% of 140 is 14 20% of 140 is 28. So then 28 substract 140 is 112
what is this expression simplified 5(2 + 2k)
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Answer:
10 + 10k
Step-by-step explanation:
This expression simplified is k=0
What type of number?
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Answer:
It is an irrational Number cuz that number cannot be in fraction form and it is not a perfect square..
Out of 1,400 students, 60% have a dog. How many students have a dog in part ?
Answers
Answer:
840 students
Step-by-step explanation:
0.6 * 1400 = 840 students
Answer:
840
Step-by-step explanation:
60% of 1400 is 840
PLEASE DUE IN 20 MINUTES!!!!!!
Write the quadratic function in standard form.
f(x) = (x + 14)2
Answers
Answer:
Step-by-step explanation:
It's essential that you use the symbol " ^ " to indicate exponentiation.
Expanding f(x) = (x + 14)^2 results in x^2 + 28x + 196 (which is in standard form)
which of the following systems of equations would have infinitely many solutions?
y=4x-1 and 4x+5
y=x and y=0
y=2x-1 and y=2x-1
y=3x-2 and y=2x-3
Answers
9514 1404 393
Answer:
(c) y = 2x-1 and y = 2x-1
Step-by-step explanation:
A system of equations in which both equations describe the same line will have infinitely many solutions (all points on that line).
The same line is (obviously) described by the (identical) equations ...
y = 2x-1 and y = 2x-1
If 5p = 100, the value of the variable p is
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Answer: p = 20
Step-by-step explanation: 5 x 20 = 100
-zomba
which expression has the same value as negative -Y-4?
Answers
Answer:
?
(is there suppose to be more numbers?)
Step-by-step explanation:
3x + x - 7 = 10
What does x=
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First you add 3x+x because they are like terms.
3x+x-7=10
Your New Simplified Equation:
4x-7=10
Now, you have to take out the -7 by adding a positive 7. Also you have to add +7 on the other side so add 7 to 10.
Your New Simplified Equation:
4x=17 Now, you divide both sides by 4.
Your New Simplified Equation:
x= 17/4 So, that's your answer :)
what is the simplified form of √45
A) √5
B) √9•5
C) 3√5
D)5√3
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Nyla incorrectly added the fraction 2/3,1/2 and 5/12 she said that to add fractions with different denominators you use the common denominator and add the numeratorsWhat is Nyla’s mistake?
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Answer:
The denominators are not equal.
Step-by-step explanation:
3. Tmobile charges 100 dollars for the initial phone line and then 20 dollars for every phone line afterwards.
Another phone company, ToPar, does not have any initial cost but charges 30 for each phone line.
A) Write an equation for the total cost for each company.
Equation for Tmobile:
Equation for ToPar:
B) After how many phone lines will the cost be the same.
C) When would Tmobile be a better choice
D) When would ToPar be a better choice?
Answers
y=20x+100
Topar equation
y=30x
B) you’d set the two equation equal to each other
20x+100=30x
giving you the answer x=10
C) when x>13
D) when x<14
i’m a bit iffy on the last two but that’s the conclusion i came to
A spinner is split in to six equal sections with the sections colored as labeled in the drawing
Emily rolls a number cube labeled 1-6 and spins the spinner
What is the probability of Emily rolling a 5 and spinning a yellow?
Answers
Answer: 1/18
Step-by-step explanation:
Answer:
the answer is 1/36
Step-by-step explanation:
because 1/6 times 1/6 is equal to 1/36
what is -8(×+2)+2(×-1)=
Answers
Answer:
-8x-16+2x-2
-4x = 18
x= -4.5 or -4 1/2
Step-by-step explanation:
A first number is four more than seven time a second. The sum of the number is 92. Find the number.
Answers
Answer:
11
81
Step-by-step explanation:
x = 7y + 4
x + y = 92
Solve for x in the second equation
x = 92 - y
92 - y = x
Equate the 2 xs
92 - y = 7y + 4 Add y to both sides
92 = 7y+y + 4 Combine
92 = 8y + 4 Subtract 4 from both sides
88 = 8y Divide by 8
88/8 = y
y = 11
===========
x = 7y + 4
x = 77 +4
x = 81
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
What is the volume of the pyramid in cubic centimeters?
Answers
Answer:
volume = 13500 [tex]cm^{3}[/tex]
Step-by-step explanation:
For a given pyramid, its volume can be determined by:
volume of pyramid = [tex]\frac{lwh}{3}[/tex]
Where: l is the base length, w is the base width and h id the height of the pyramid.
For the given question, l 30 cm, w = 30 cm and h = 45 cm.
So that,
volume = [tex]\frac{30*30*45}{3}[/tex]
= [tex]\frac{40500}{3}[/tex]
= 13500
volume = 13500 [tex]cm^{3}[/tex]
The volume of the pyramid is 13500 [tex]cm^{3}[/tex].
The volume of the square-based pyramid is [tex]13500cm^3[/tex]
The volume of a pyramid is given by
[tex]V=\dfrac{Ah}{3}[/tex]
where
[tex]A=\text{area of the square base}\\h=\text{perpendicular height}[/tex]
The area of the square base, [tex]A[/tex], is calculated as follows
[tex]A=side^2\\=(30cm)^2\\=900cm^2[/tex]
substitute the value of [tex]A[/tex], and [tex]h[/tex] ([tex]45cm[/tex]) into the volume formula to calculate the pyramid's volume
[tex]V=\dfrac{Ah}{3}\\\\=\dfrac{900\times 45}{3}\\\\=13500cm^3[/tex]
Therefore, the volume of the pyramid is [tex]13500cm^3[/tex]
Learn more about volume of pyramids here: https://brainly.com/question/1260835