Answer:
330
Step-by-step explanation:
A=a + b / 2 x h
a = 24, b = 20, h = 15
24 + 20 divided by 2 times 15
44 divided by 2 time 15
22 times 15 = 330
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.
Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92
2. 936.4 – 15.85 = 77.79
3. 56.3 – 27.04 = 19.26
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
Use long division to rewrite 5/8 as a terminating decimal
Answer:
0.625
Step-by-step explanation:
Geometry question plz someone help me
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
An equation is ____=540
The solution is x=____
in figure
85+5n+5n+5n+5f+5n-10=540
20n+80=540
20n= 460
x=23
Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?
Answer:
40(i think)
Step-by-step explanation:
A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 333years and a standard deviation of 222 years. Suppose we were to take a random sample of 444employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample.
What is the probability that the mean years of experience from the sample of 444 employees xˉxˉx, with, \bar, on top is greater than 3.53.53, point, 5 years?
Answer:
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
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 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]
Distribution of years of experience:
Mean 3, so [tex]\mu = 3[/tex]
Standard deviation 2, so [tex]\sigma = 2[/tex]
Sample of 4:
[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]
What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?
1 subtracted by the pvalue of Z when X = 3.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 3}{1}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Answer:
We cannot calculate this probability because the sampling distribution n ot normal
Step-by-step explanation: Khan academy
Evalute 4+(7-5)⁴?
PLEASE HELP
Answer:
The answer is 20
Step-by-step explanation:
(7-5)=2
2^4 = 16
16 + 4 = 20
enter a negative number that is greater than -10.
btw this is iready
Answer:
5 6 7 8 9 10 All the positive number are grater than -10 but if it askes for negative you would you -5 -6 -7 -8 -9
Step-by-step explanation:
With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Conversely a number is less than another when it is to the left on the number line.
Step-by-step explanation:
NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do
Answer:
∠W=110
∠X=110
∠Y=70
∠Z=70
Step-by-step explanation:
∠X+∠Y=180 (supplementary angles)
(13x-7)+(8x-2)=180
21x=189
x=9
∠X = 13x-7 = 13(9)-7 = 117-7 = 110
∠Y = 8x-2 = 8(9)-2 = 72-2 = 70
Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X
In ΔKLM, k = 13 cm, l = 17 cm and m=28 cm. Find the measure of ∠K to the nearest degree.
Answer:
18
Step-by-step explanation:
Delta math
Answer:
18
Step-by-step explanation:
delta math
the diffrence between two positive numbers is 7 and the square of thier sum is 289
Answer:
One of the Numbers is -151 and the other is -144
Step-by-step explanation:
Set up the equations then solve
Enter the unknown value that makes this statement true.
35 is % of 70
Answer:
Step-by-step explanation:
35 = x% of 70
35 = 1/2 of 70
x% = 50%
x = 50
7 19/22-1 8/11 how do you subtract fractions?
Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?
Answer:56
Step-by-step explanation:
72% of 200= 144
200-143=56
3x -5x + 8x = 4x + 18
Answer:
x = 9
Step-by-step explanation:
6x = 4x + 18
6x - 4x = 18
2x = 18
x = 9
Answer:
-9
Step-by-step explanation:
3x−5x+8x=4x+18
Step 1: Simplify both sides of the equation.
3x−5x+8x=4x+18
3x+−5x+8x=4x+18
(3x+−5x+8x)=4x+18(Combine Like Terms)
6x=4x+18
6x=4x+18
Step 2: Subtract 4x from both sides.
6x−4x=4x+18−4x
2x=18
Step 3: Divide both sides by 2.
2x
2
=
18
2
what is 2x2x2x2+2+2+2divitide by 6
Answer:
3.6 repeating or 3 and 2/3
Step-by-step explanation:
I did the work on a calculator.
Answer:
f be it is right
Step-by-step explanation:
okay that is it
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
consider the two functions. which statement is true?
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
Solve each multi-step equation. Show your work. A - 2 + 3 = -2
Answer:
a is -3
Step-by-step explanation:
negative 3 minus 2 is negative 5 plus 3 is negative 2
find the volume and the total surface area of a cube whose edge is 1.5m.
Answer:
I think it's 18
Step-by-step explanation:
1.5 x 1.5 is the first area of a single side, which is 3. 3 x 6 is 18.
sorry if this is wrong!
-3/4 × = 1/4 need Help to answer this question
Answer:
x = -1/3
Step-by-step explanation:
step one - Simply both sides of the equation
step two - Multiply both side by 4/(-3)
20 points plus brainliest
For each graph, decide whether or not it is a function.
I've already answered this but
1. it is a function
2.it is a function
3.it is not a function
4.it is not a function
hope this helps :)
what is the equation for line b
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
49/70 in its simplest form
Answer:
7/10
Step-by-step explanation:
Brainliest?!?!?!?!
Answer: 7/10
Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!
Simplify: (3x - 4x^2 + 8x^3) + ( - 6x + 2x^4 - 5x^2)
Answer:
−x(3−9x+8x^2+2x^3)
That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4
Step-by-step explanation:
what does 1/2 x 2/3 equal
Answer:
9/2
Step-by-step explanation:
Which angle is an alternate interior angle to 8?
Answer:
<5
Step-by-step explanation:
Interior angle Kasi eh hihi
help me PLZ LUV YOU ALL
Answer:
1) AB = 10cm
2) 70 degrees
3) 12m
4) 10m
5) 32 degrees
6) 9 + 9 = 18m
f(x)=2x^2-5 g(x)=5x+7
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation: