Answer:
Answered and explained below
Step-by-step explanation:
A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125
Sample size; n = 150
Formula for mean is;
μ = np
μ = 150 × 0.125
μ = 18.75
Formula for standard deviation is;
σ = √(np(1 - p))
σ = √(150 × 0.125(1 - 0.125))
σ = √16.40625
σ = 4.05
B) usually, when np ≥ 10 , we make use of normal distribution.
I'm this case, it is 18.75 which is greater than 10.
Thus,we can use a normal model to approximate the distribution.
C) we are told that he found the trait in 22 of the frogs.
Thus;
Proportion is now; 22/150 = 0.1467
This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.
please help right now
Step-by-step explanation:
[tex] \sqrt{26} is \: between 5.0and5.1[/tex]
Can somebody help me plsssss
5,0 is not a solution to the system of linear inequalities.
addie spent 4.32 on 6 cherry-flavored popsicles. find the unit rate
Answer:
$0.72
Step-by-step explanation:
4.32 dollars per 6 popsicles.
4.32 / 6 = 0.72 per popsicle.
Today only a table is being sold at a 15% discount. The sale price is $629
Answer:
740
Step-by-step explanation:
Answer:
The answer is $566.73.
Step-by-step explanation:
The way that you find the answer is dividing .15 to the price
I am having a baby day so if you write something wrong I’m reporting you
Answer:
804.25 or based on the choices 803.8
Step-by-step explanation:
Answer:
804.25
Step-by-step explanation:
so the closest thing to that is 803.8
HELP PLEASE
LOTS OF POINTS
EASY POINTS
JUST ANSWER
THXX <3
Answer:
180°
Step-by-step explanation:
You can rotate the equilateral triangle 180° to match the original orientation.
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase. How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)
Answer:
0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion
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]
20% of the residents in a certain state support an increase in the property tax. Sample of 400.
This means that [tex]p = 0.2, n = 400[/tex]
Mean and standard deviation:
Mean [tex]\mu = p = 0.2[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]
How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?
This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So
X = 0.24
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 0.16
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion
Is -12 greater than -5
Answer:
No. it's less than. The bigger the negative number is, the lesser it is.
2:14 = 1:
What is the equivalent ratio?
Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift; Lisa has 1/5 of her shift remaining. Out of the four employees, who has completed the least work time?
Answer:
Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Step-by-step explanation:
Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:
Phil: 4 - 1/4 = 3/4 = 0.75
Darren: 7 - 3/7 = 4/7 = 0.57
Alice: 8 - 1/8 = 7/8 = 0.875
Smooth: 5 - 1/5 = 4/5 = 0.8
Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Simplify: 2(x+6) show work please
Answer:
2x + 12
Step-by-step explanation:
2(x + 6) =
2(x) + 2(6) =
2x + 12
Hope that helps!
Answer:
2x+12 by distributing
2x=-12
x=-6
a) 3 -2.(x + 3) = -18
Answer:
3 -2x^2 -6x= -18
Step-by-step explanation:
that's what got
Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 pounds, and Nathan picked 3 pounds. How much more did Sarah pick than Nathan?
1 pounds
2 pounds
pound
1 pound
Answer:1 pound
Step-by-step explanation:
Directly you see from Qestion Sarah picked 4 pounds and Nathan 3...for difference 4-3=1
Answer:
A: 1 pound
Step-by-step explanation:
4lbs -- 3lbs = 1lbs
there are 16 sixth graders, 11 seventh graders, and 9 eighth graders in a gym class. the gym teacher randomly selects one student to collect balls how many ways can choosing not a seventh grader occur
Answer:
34 total students.
25 are not 7th graders
27/35
What is the median of this data set?
Enter your answer in the box.
Answer and Step-by-step explanation:
The median is the middle of the data set.
Start by crossing off the x's from both sides until you get to the middle.
We get [tex]\frac{2}{8}[/tex] as the median.
#teamtrees #PAW (Plant And Water)
PLEASE PLEASE HELP!! A ferris wheel with a radius of 38 feet rotates at a rate of 8 revolutions per minute. The height above the ground of the carriage labeled C below is a function of time, t, in minutes
find the slope
!!HELP QUICKLY PLEASE!!
What is the image of the point (2,8) after a rotation of 270° counterclockwise about
the origin?
Answer:
(8,-2)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise. Rotate on a graph.
Roger expressed 1/5%
as 1/500. Ellen expressed 1/5% as 100/5. Who is
correct? Explain.
Answer:
Ellen is correct
Step-by-step explanation:
Roger:
The left side 20 does not equal to the right side 0.002 , which means that the given statement is false.
Ellen:
The left side 20 is equal to the right side 20, which means that the given statement is always true.
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
13. In the given circle, AB = 13 m, BC = 6 m, and CD = 8 m. If DE = x, find the value
of x. (The figure is not drawn to scale.)
E
x
A
B
A. 13.25 m
B. 9.75 m
C. 6.25 m
D. 14.25 m
do you know what the answer was?
21 ≤ 2x + 3 =
How do you work this out? And what is the answer? :)
Answer:
9
Step-by-step explanation:
21≤2x+321-3≤2x18≤2xdivide both side by 2therefore the answerx≥9
Sonya paid $4.39 for a hero. She paid $0.95 for an orange and $1.67 for a drink. What is the total amount Sonya paid for all three items?
The lateral surface area is _ square centimeters.
Answer: 24
Step-by-step explanation:
Help please hurry it not a test but hurry no links, please
Answer:
33 1/3%
Step-by-step explanation:
The percentage change is ...
difference/base × 100% = (120000 -90000)/90000 × 100%
= 1/3 × 100% = 33 1/3%
What is the measure of the unknown angle?
Answer:
24
Step-by-step explanation:
x+120+36=180
x+156=180
x=180-156
x=24
Explicit formula for
1,5,3,6,12
sorry I needed the points!
A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)
Answer:
The equation of the form P(n) is:
P(n)=-0.002n+75
Step-by-step explanation:
From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:
m=(p1-p2)/(n1-n2)
m=slope
p1=69
p2=61
n1=3000
n2=7000
m=(69-61)/(3000-7000)
m=8/-4000
m=-0.002
Now that you have the slope, you can find the the equation of the form P(n):
P(n)=-0.002(n-3000)+69
P(n)=-0.002n+6+69
P(n)=-0.002n+75
According to this, the answer is that the equation of the form P(n) is:
P(n)=-0.002n+75
find the surface area of thw figure below.
A. 261 cm
B. 270 cm
C. 441 cm
D. 810 cm
Step-by-step explanation:
Area = 1/2 x b x h
= 1/2 x 9 x 10
= 45 cm ^2
As it has 6 faces, we multiply the area by 6
45 x 6 = 270 cm^2
Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
sorry 2458946547165874%
Step-by-step explanation:
Caleb's vegetable garden yielded 23 pounds of bell peppers. He gave two-thirds
of the total yield to his reighbor, Jacob. How many pounds of bell peppers did
Jacob receive?