Answer:
in total there are 225 books if that's what you're asking?
When you take samples from a population and compute a proportion from each one, you can consider the distribution of those proportions. This is called the sampling distribution for the population proportion.The Central Limit Theorem tells us that the sampling distribution for the population proportion is
Answer:
Step-by-step explanation:
This is a fill in the gap question:
The Central Limit Theorem tells us that the sampling distribution for the population proportion is approximately normal with the population proportion as its mean. The theorem of the central limit is a set of results on the weak convergence of a series of random variables in probability. Intuitively, according to these results, any sum of independent and identically distributed random variables tends towards a certain random variable.
Similarly; from the question:
The mean of the sampling distribution is given by [tex]\mathbf{\mu_{\hat p } = p}[/tex]
Suppose p is the population proportion and let say n is the sample size; then :
The standard deviation of the sampling distribution can be represented by :
[tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
What is (2b-b)+c+3b+7
Answer:
4b+c+7
Step-by-step explanation:
Combine like terms: 2b-b= b + 3b = 4b
4b + c + 7
I hope this helped, please mark Brainliest, thank you!
HELP ME PLEASE will give brainliest
Answer:
(1,-4)
Step-by-step explanation:
Thirty-six students go on a field trip. The students are divided into groups of 7 students. How many groups of 7 will there be?
Answer:
There will be 5 full groups of 7 with 1 person left over so you can make it 6 if you want
Step-by-step explanation:
7 times 5 equals 35 plus 1 equals 36
how much percentage is 0.025 % of 240 percentage of 1.5 of 0.9
Answer:
0.1
Step-by-step explanation:
=> { (0.025% of 240% of 1.5)/0.9 }x 100
=> [ { (25/100000) x (240/100) x 15 } / 9 ] x 100
=> 0.1
Triangle PQR is transformed to similar triangle P′Q′R′:
What is the scale factor of dilation?
1 over 2
1 over 3
1 over 4
1 over 5
Answer:
1 over 2? Not sure though
Step-by-step explanation:
In the equation x/6 = 9 what operation do you need to use to get the
variable x by itself?
Answer:
Multiplication
Step-by-step explanation:
To get X alone, you multiply by 6 to each side so that the left side cancels out, getting the variable by itself.
The final equation would be X=54.
Answer:
Multiplication
Step-by-step explanation:
You can see there is a division with the 6, and to get rid of 6, you need to multiply it :)
A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within /- 5 of the population mean
Complete Question
A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean
Answer:
The value is [tex]P(195 < X < 205 ) = 0.6827 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 200[/tex]
The population standard deviation is [tex]\sigma = 50[/tex]
The sample size is [tex]n = 100[/tex]
Generally the standard error of sample mean is mathematically represented as
[tex]s = \frac{ \sigma }{\sqrt{n} }[/tex]
=> [tex]s = \frac{50 }{\sqrt{100} }[/tex]
=> [tex]s =5[/tex]
Generally the limits of [tex]\pm 5[/tex] within the population mean is mathematically represented as
[tex]a = \mu - 5[/tex]
=> [tex]a = 200 - 5[/tex]
=> [tex]a = 195[/tex]
and
[tex]b = \mu + 5[/tex]
=>[tex]b = 200 + 5[/tex]
=>[tex]b = 205[/tex]
Generally the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean is mathematically represented as
[tex]P(a < X < b ) = P(\frac{a - \mu }{s} < \frac{X - \mu }{s} < \frac{b - \mu }{s} )[/tex]
=> [tex]P(195 < X < 205 ) = P(\frac{ 195- 200 }{5} < \frac{X - \mu }{s} < \frac{205 - 200 }{5} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(195 < X < 205 ) = P(-1< Z<1 )[/tex]
=> [tex]P(195 < X < 205 ) = P(Z < 1) - P(Z<-1 )[/tex]
Generally from the z -table the probability of (Z < 1) and (Z<-1 ) is
[tex]P(Z < 1)= 0.84134[/tex]
and
[tex] P(Z<-1 ) = 0.15866 [/tex]
So
[tex]P(195 < X < 205 ) = 0.84134 - 0.15866 [/tex]
[tex]P(195 < X < 205 ) = 0.6827 [/tex]
I need help can someone please help me please and thank you ( I’m timed ) !!!
Answer:
A' (6,-3)
B' (2,-5)
C' (-3,-2)
D' (1,-2)
What conditions are required by the central limit theorem before a confidence interval of the population mean may be created
Answer:
In the clarification segment elsewhere here, the definition including its query is mentioned.
Step-by-step explanation:
Unless the sample group exceeds 30 or even more, their underlying demographic doesn't have to be positively correlated since the Central limit theorem claims that even if sample sizes with n observations being obtained from every other population. Then, whenever n is high, [tex]n \geq 30[/tex], the sampling distribution of the distribution of values has been determined roughly normally.URGENT HELP I'M DUMB
if a store sells 4lb or apples for 6 dollars how much for money is it for 1lb of apples
Answer:
1.5 dollars
Step-by-step explanation:
just divide 6 by 4 lol.I also am bad at math too dw
Answer:
1.50 is my answer that I would put so
I like trains what does this mean I do not know
Answer:
it means that you like trains
Step-by-step explanation:
Answer:
trains like tomas the train
Find the area of the irregular figure
Answer:
75Step-by-step explanation:
5*3= 15
9*4= 32
4*7= 28
Total: 75
The arrow on each of the spinners with be spun one time .which of the following shows all the possible outcome when each spinner is spun once .
Answer:
Option (2)
Step-by-step explanation:
If we spin spinner 1, the possible outcome on this spinner for a single spin will be either RED (R) or GREEN (G).
Similarly, if we spin spinner 2, possible outcomes for a single spine will be 1 or 2 or 3 or 4.
If we spin both the spinners possible outcomes from both the spinners in a single spin will be,
Red with 1 Or Red with 2 Or Red with 3 Or Red with 4,Or
Green with 1 Or Green with 2 Or Green with 3 Or Green with 4
Symbolically,
R1, R2, R3, R4, G1, G2, G3, G4
Therefore, Option (2) will be the answer.
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1. Francine can decorate 3 cakes in 20
minutes. At this rate, how many cakes can
Francine decorate in one hour?
None of the Above
Answer:
Francine can decorate 9 cakes in 1 hour.
Step-by-step explanation:
Since there are sixty minutes in an hour, knowing that 20 × 3 = 60, all you have to do is multiply 3 by itself to get 9.
Simplify the expression.
(4х5) (5x6)
Answer:
600
Step-by-step explanation:
(4x5) x (5x6)
First we solve each expression in the parenthesis. 4x5=20 and 5x6=30. Then, since the parenthesis are placed together, we multiply the two values. 20x30=600.
hope this helped!! <3
Answer:
i think 600
Step-by-step explanation:
brainliest will be awarded
Answer:
-5x+6-3x=22 is x = -2
10-9x+6=34 is x = -2
Step-by-step explanation:
When a number is subtracted from half of its own square the result is 60. What is the number?
Answer:
-10 or 12
Step-by-step explanation:
1/2 y2 -y =60
Multiply both sides by 2
y2 - 2y =120
Subtract 120 from both sides
y2 - 2y -120 = 0
Factor the left side ( y+10) (y -12 =0)
By zero product property, y= -10,12
So the number is -10 or 12
I don't if this was helpful sorry if its not
What is the least common multiple of the numbers 5, 25, and 15?
ОА.
25
B.
50
OC.
75
D.
100
E.
125
Answer:
C. 75
Step-by-step explanation:
Factorize the numbers first
5=5×1
25=5×5
15=5×3
LCM of 5,25,15 will be 5×5×3=25×3=75
What did you learn about using the Pythagorean Theorem from this lesson?
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
Answer:
Pythagorean Theorem: a squared + b squared = c squared
Pythagorean Theorem: implies in every single triangle
Step-by-step explanation:
You have 2 cups of raisins. A recipe calls for 3/8 cup of raisins per serving. How many FULL Servings can you make?
Answer:
5
Step-by-step explanation:
There are 2 cups of raisins
A recipe requires 3/8 cup of raisins per serving
Therefore the number of full servings that can be made can be calculated as follows
= 2 ÷3/8
= 2 × 8/3
= 16/3
= 5.3333
Hence the number of full servings that can be made is 5
An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.34 mm with a standard deviation of 0.090 mm. Find a 90% confidence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places. The 90% confidence interval is ( , ).
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean.
Given that: sample size (n) = 6, standard deviation (σ) = 0.09 mm, mean (μ) = 2.34 mm
The confidence interval = 90% = 0.9
α = 1 - 0.9 = 0.1
α / 2 = 0.05
The z score of 0.05 is the same as the z score of 0.45 (0.5 - 0.05) which is 1.645.
The margin of error is given as:
[tex]E=Z_{\frac{\alpha}{s} }*\frac{\sigma}{\sqrt{n} }[/tex]
[tex]E=1.645*\frac{0.09}{\sqrt{6} }=0.06\ mm[/tex]
The confidence interval = μ ± E = 2.34 ± 0.06 = (2.28, 2.40)
The confidence interval is between 2.28 mm and 2.4 mm
A car company uses the table below to show customers the approximate amount of gas used when a car has been driven a certain number of miles.
Gas Use
Miles driven
Gallons of gasoline used
110
2.75
220
5.5
300
7.5
430
?
If the car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to travel 430 miles?
9.5
10.75
13
15.75
Answer:
10.75
Step-by-step explanation:
Answer:
10.75 gallons
Step-by-step explanation:
The measures of two vertical angles are 58° and (3x + 4)". Find the value of x.
Answer:
x = 18°
Step-by-step explanation:
Vertical angles can be defined as a pair of angle formed when two (2) lines intersect. These angles formed during the intersection of the two (2) lines are opposite to each other.
Hence, vertical angles are always equal to one another.
From the question, we have;
58° = (3x + 4)°
Rearranging the equation;
[tex] 3x = 58 - 4[/tex]
[tex] 3x = 54[/tex]
[tex] x = \frac{54}{3}[/tex]
x = 18°
Therefore, the value of x is 18 degrees.
3. Make Sense and Persevere In the equation
0.755 - s = 44 how do you combine the like
terms?
Answer:
s = -43.245
Step-by-step explanation:
First, you move the constant to the right:
-s=44-0.755
Calculate:
-s=43.245
Then, you change the signs:
s=-43.245
To explain your reasoning, you can say that:
To add any complex numbers together, you add the constants to each other and the numbers together.
The price of a bicycle was decreased by 40% to £96. What was the price before the decrease? £
Answer: I think 134.4
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
How to solve 8w − 3r = 45 for r.
Answer:
W= 45/ - 3 = 15/-1
Step-by-step explanation:
Answer: 45/-3 = 15/-1
Step-by-step explanation:
A liter is a little less than
Answer:
QUART IS A LITTLE LESS THAN A LITER
Step-by-step explanation:
hope this helps :))
on a piece of paper graph y≥2x
Answer:
Step-by-step explanation:
I don't have a graph but I'll tell you how to graph. You have to graph this as an mx+b equation. Since this doesn't have a y-intercept, you'll start at 0 on the graph. Go up 2 times and over to the right 1 time. You should be at (1,2) do the same thing and you should be at (2,4) continue till you run out of the provided space. Now, go back to 0 and complete the part below it. To complete that, from 0, go down 2 times and over to the left 1 time. You should reach (-1,-2) and when you do the same thing again, you should reach (-2,-4) and continue until you run out of space. The coordinates o=in which the line touches should be the opposites of the coordinates above 0. Like (1,2) (-1,-2) and (2,4) (-2,4).
Solve the following inequality.
2P - 3 > P + 6
Answer:
P>9(P is bigger than 9 )
Step-by-step explanation:
2P-P>6+3
P>9