Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Answer:
a
Step-by-step explanation:
Can removing two outliers not have an effect on the mean? Justify your responses.
Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American. How likely is the resulting sample proportion to be between 0.066 and 0.294 (i.e., 6.6% to 29.4% African American)
Answer:
0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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]
18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.
This means that [tex]p = 0.18, n = 100[/tex]
So, by the Central Limit Theorem:
[tex]\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384[/tex]
How likely is the resulting sample proportion to be between 0.066 and 0.294?
This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So
X = 0.294
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.294 - 0.18}{0.0384}[/tex]
[tex]Z = 2.97[/tex]
[tex]Z = 2.97[/tex] has a pvalue of 0.9985
X = 0.066
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.066 - 0.18}{0.0384}[/tex]
[tex]Z = -2.97[/tex]
[tex]Z = -2.97[/tex] has a pvalue of 0.0015
0.9985 - 0.0015 = 0.997
0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294
if root x+9=root 784, the value of x
Answer:
on squaring complete term
x + 81 = 784
x = 784 - 81
x = 703
Step-by-step explanation:
which explains how to find the quotient of the division below -3 1/3 / 4/9
How do I find the mean of a given set of numbers?
Answer:
Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
:D
It takes 213 yards of denim to make one pair of jeans. How many yards would it take to make 5 pairs of jeans?
Answer:
1,065
Step-by-step explanation:
Multiply 213 by 5 to get your final answer.
If x = y and y = Z, which statement must be true?
Answer:
Step-by-step explanation:
that means that x=z transitive prop of equality
if my answer helps please mark as brainliest
Find the solutions of each equation on the interval [0, 2π)
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
x = π
A credit card company wanted to estimate the proportion of its customers who pay their credit card minimum balance on time. The company sampled 500 records and constructed a confidence interval for the true proportion of customers who pay their credit card minimum balance on time. The resulting 95 percent confidence interval was (0.765, 0.835). Which of the following is a true statement regarding the value of the point estimate and margin of error of the percentage of customers who pay their credit card minimum balance on time?
a. The point estimate is 0.765 and the margin of error is 0.07.
b. The point estimate is 0.765 and the margin of error is 0.835.
c. The point estimate is 0.80 and the margin of error is 0.035.
d. The point estimate is 0.80 and the margin of error is 0.07.
e. The point estimate could be any number within the interval and the margin of error is 0.035.
Answer: c. The point estimate is 0.80 and the margin of error is 0.035.
Step-by-step explanation:
Given: The 95 percent confidence interval was (0.765, 0.835).
Confidence interval = Point estimate ± Margin of error.
I.e. Point estimate + Margin of error = 0.835 (i)
Point estimate - Margin of error = 0.765 (ii)
Add (i) and (ii), we get
2 (Point estimate)= 1.60
⇒ Point estimate = 0.80
Put this in (i), we get
0.80+Margin of error = 0.835
⇒ Margin of error = 0.835 -0.80
⇒ Margin of error = 0.035
Hence, the correct statement is:
c. The point estimate is 0.80 and the margin of error is 0.035.
A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?
Answer:
The bench costs $375
Step-by-step explanation:
t + b = 793
t = b+43
(b+43) + b = 793
2b + 43 = 793
2b = 750
b = 375
The bench costs $375
Find the missing lengths or missing angles
Answer:
18
Step-by-step explanation:
its an isoceles triangle, the two sides (NP and Q) are equal
Answer:
18
Step-by-step explanation:
Evaluate the expression when x-=12.5 and y=6 12x-3y^2
Answer:
Step-by-step explanation:
Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0
PLEASE HELP MEEEEEE I need help quickly
Answer:
60
Step-by-step explanation:
There are sixty students.
15% = 9
------------------
100% = x
Cross muliply.
900
------
15x
Divide 15x by 15, and 900 by 15.
Answer is 60.
I hope this helps!
Brainliest would be awesome!
6 grade math pls help and do step by step
Answer:
14
Step-by-step explanation:
13-2=11 then 11x 3 =33 then 33-25=8+=14
Answer:
Step-by-step explanation:
PEMDAS is going to be your best friend bud. It stands for Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. This is the order you will use for all problems like this in the future. Start by solving everything inside the parenthesis.
6+3(11)-5^2=?
Now that all the parenthesis are gone we move on to exponents.
6+3(11)-(5*5)=?
6+3(11)-25=?
Now that all exponents are gone we solve for multiplication and division, whichever comes first when reading from left to right.
6+33-25=?
The final step is to add and subtract from left to right.
Hope this helps!
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:
a. probably equal.
b. probably unequal.
c. incomparable.
Answer:
Probably unequal ( B )
Step-by-step explanation:
experimental group = 10
using 85% ethanol gasoline
mean = 240 pounds per 100 miles
standard deviation = 20 pounds
control group = 14 vehicles
using regular gasoline
mean = 252 pounds per 100 miles
standard deviation = 15 pounds
comparing the sample variance of each group shows that they are probably unequal using the equation below
Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1
where n = number of events
X = mean value
x = value of events
Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?
Answer:
pesaria 2.25 kilos
explicacion
Help me. Will give brainliest.
Answer:
63
Step-by-step explanation:
What is the reverse of subtract 849
I need help please quickly!!
Answer:
37.68
Step-by-step explanation:
A= 3.14 x 4 x 4 = 50.24
50.24 ÷ 4 = 12.56
12.56 x 3 = 37.68
what's the correct choice please help
Year. 2006. 2007. 2011 . 2012. 2013
CPI. 201.6. 207.342. 224.939. 229.594 232.957
Suppose you bought a house in 2013 for $90,000. Use the table above to calculate the 2006 value adjusted for inflation. which is the correct answer below
$90,314
$91,398
$103,999
$77,886
Answer:
$77,886
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
The table states that:
$201.6 in 2006 is worth $232.957 in 2013.
We want to find:
The value of $90,000 in 2013 in 2006:
$201.6 - $232.957
x - $90000
Applying cross multiplication
[tex]232957x = 201.6*90000[/tex]
[tex]x = \frac{201.6*90000}{232957}[/tex]
[tex]x = 77886[/tex]
$77,886 is the answer
PWEASE HEELP:)In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Jennifer must spend $250 or more in order to qualify for a free t-shirt at the store. She already spent $112.49. How much more money does Jennifer need to spend so that she can earn the free t-shirt?
Answer:
ummmm this is easy
Step-by-step explanation:
she has to spend $137.51 more, all you have to do is
$250 - $112.49 = $137.51
I am not sure if you were serious with this question or not but here is the answer lulu
hope this helps :) :) :) :)
If one face of a cube has an area of 6 in2, what is the total surface area of the cube?
Answer:
216..................
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children must be 1 : 8
Penny has 56 children at the nursery.
Work out the number of adults Penny needs for 56 children?
Show your wor
Answer:
9
Step-by-step explanation:
Determine m ASAP please help!!
Answer:
m=52
Step-by-step explanation:
ABC and FBE are congruent and we know that ABC is 52
90-38=52
so FBE is also 52
Hope this helps ^-^
Solve the following for c: 10c + 12 = - 48
Answer:
c = -6
Step-by-step explanation:
10c + 12 = -48
subtract 12 from both sides
10c = -60
divide by 10 on both sides
c = -6
Answer:
C = -6
Step-by-step explanation:
10c + 12 = - 48
-12 -12
10c = -60
/10 /10
c = -6
9(5x) need help asap
Answer:
45x happy to help ya :)
Step-by-step explanation:
Please help a brotha out
Answer: a=1,b=1
Step-by-step explanation:
b
The probability of a head is 0.27. The coin is thrown 200 times. Write an
estimate for the amount of tails
Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability of a head is 0.27.
This means that the probability of tails is [tex]p = 1 - 0.27 = 0.73[/tex]
The coin is thrown 200 times.
This means that [tex]n = 200[/tex]
Write an estimate for the amount of tails
This is the expected value, so:
[tex]E(X) = np = 200*0.73 = 146[/tex]
The estimate for the amount of tails is 146.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 10 x = 4
Step-by-step explanation:
Answer:
y = 10x - 30
Step-by-step explanation:
x = 5
5 x 10 = 50
50 - 30 = 20
y = 20
x = 6
6 x 10 = 60
60 - 30 = 30
y = 30
x = 7
7 x 10 = 70
70 - 30 = 40
y = 40
x = 8
8 x 10 = 80
80 - 30 = 50
y = 50
Find the value of x.
x + 3
12
Answer:
x=9
Step-by-step explanation:
12=x+3
9=x
you set the sides equal to eachother bc they have the same angles!
Answer:
9
Step-by-step explanation:
x + 3 = 12 (both sides of triangle are equal, because angles are equal)
x= 12 - 3
x = 9
