Answer:
If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).
Step-by-step explanation:
Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States revealed the following endowments (in millions of dollars): 60.2, 47.0, 235.1, 490.0, 122.6, 177.5, 95.4, and 220.0. Summary statistics yield 180.975 and s143.042. Calculate a 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments. Round to three decimal places.
Answer:
The 95% confidence interval [tex] 81.852 < \mu < 280.098 [/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 180.975[/tex]
The standard deviation is [tex]\sigma = 143.042[/tex]
The sample size is n = 8
Given that the confidence level is 95% then the level of significance is
[tex]\alpha =( 100- 95) \%[/tex]
=> [tex]\alpha =0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 143.042 }{\sqrt{8} }[/tex]
=> [tex]E = 99.123 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]180.975 -99.123 < p < 180.975 +99.123[/tex]
=> [tex] 81.852 < \mu < 280.098 [/tex]
Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).
The information given is:
Sample mean of [tex]\overline{x} = 180.975[/tex].Sample standard deviation of [tex]s = 143.042[/tex]Sample size of [tex]n = 8[/tex].We have the standard deviation for the sample, hence, the t-distribution is used.
The interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56[/tex]
The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).
To learn more about the t-distribution, you can take a look at https://brainly.com/question/25077184
Rassan invests a sum of money in a savings account, with an interest rate of 4%. After 3 years, the balance reaches $1799.78. What is the amount of the initial investment? Round to the nearest whole dollar.
Answer:
I believe it is $1,607 hope it helps
what lines represent parallel to y=6x+2
Answer:
g
Step-by-step explanation:
Hi please help no links and no fake answers please!
answer: the student made an error. The first factor, 9, was distributed to only one of the terms inside the parentheses
Find the value of xx, yy, and zz in the parallelogram below.
Answer:
Step-by-step explanation:
What is the total area, in square meters, of the shaded sections of the trapezoid below?
Answer:
56.16 sqm
Step-by-step explanation:
Area of triangle = 0.5 * base * height
= (0.5 * 7 * 7.2) + (0.5 * 8.6 * 7.2)
= (25.2) + (30.96)
= 56.16
Find the verte of the quadratic function given below f(x) = (x-4) (x+2)
Answer:
Vertex at (1,-9)
Step-by-step explanation:
Expand the equation by using foil method.
You should get X^2+2x-4x-8
And then add the like terms.
X^2-2x-8
And use this formula to find the vertex.
X=b/2a
plug in the values
X=-2/2(1)
you should get x=1
Thats the one value.
For another one you have to plug in you X= (value which is 1) in the f(x) which now becomes f(1)
the answer is f(1)=-9
Help math math ASAP ASAP
Answer:
[tex]\displaystyle y + 2 = 4(x + 1)[/tex]
Step-by-step explanation:
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 4 remains as is as you proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [-1, -2] \\ \\ \boxed{y + 2 = 4(x + 1)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
Which of the following correctly simplifies the expression (2².60) ? ² t 79 32 343 0() 이 - 야 (4) 2².0 2²1 77 64 343 2.0 = 0 78
Answer:
hello
[( 2 ² * 6 ⁰ ) / 7 ] ³
= ( 2 ⁶ * 1 ³) / 7 ³
= ( 64 *1 ) / 343
= 64/343
Step-by-step explanation:
Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains calories, and the standard deviation in caloric content of the chicken breast population is calories. Rosters wants to design an -chart to monitor the caloric content of chicken breasts, where chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? Upper Control Limit () nothing calories (enter your response as an integer).
Correct question is;
Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).
Answer:
A)UCL = 466
LCL = 434
B)UCL = 462
LCL = 438
Step-by-step explanation:
We are given;
Mean;μ = 450
Standard deviation; σ = 20
Sample size; n = 25
A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.
Thus, upper control limit will be the formula;
UCL = μ + 4σ/√n
UCL = 450 + 4(20)/√25
UCL = 450 + 16
UCL = 466
Lower control limit will be;
LCL = μ - 4σ/√n
LCL = 450 - 4(20)/√25
LCL = 450 - 16
LCL = 434
B) We are now told that these limits are chosen to be three standard deviations from the target.
Thus, z = 3
So;
UCL = μ + 3σ/√n
UCL = 450 + 3(20)/√25
UCL = 450 + 12
UCL = 462
Lower control limit will be;
LCL = μ - 3σ/√n
LCL = 450 - 3(20)/√25
LCL = 450 - 12
LCL = 438
What is the value of x? enter you answer in the box bellow.
The student body of 24 students
wants to elect a president, minister
of Arts, minister of PE department,
and minister of Science. How many
different arrangements are there?
There are 10,626 ways of arranging the required offices from a body of 24 students.
What is combination?
Combination deals with the way in which a arrangement can be made from a particular lot. In this case, we want to select a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.
Hence;
24C4 = 24!/4! (24 - 4)! = 24!/4!20!
So;
24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1
= 24 * 23 * 22 * 21 / 4 * 3 * 2*1
= 10,626 ways
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Mayela bought 3.4 pounds of almonds for 21.58. Approximately how many pounds of walnuts can mayela purchase for 1 dollar
Answer:
0.157
Step-by-step explanation:
She can buy 3.4 pounds for $21.58, so we will divide 3.4/21.58 to get 0.157 pounds per dollar.
How can you solve the equation for 8(-3d+2)=88
Answer:
-3
Step-by-step explanation:
8(-3d + 2) = 88 divide both sides by 8
-3d + 2 = 11 rest 2 on both sides
-3d = 9 divide both sides by -3
d = -3
Answer:
i think D it's 110 cuz : 8×-3d and 8×2 = -24d+2=88 so D=88+24-2=110
What is 3/5×6/5. Move the numbers to the boxes to show answer. If there is no whole number ,put a 0 in the box
Answer:
72/100
Step-by-step explanation:
hope this helps!
Answer:
18/25
Step-by-step explanation:
can you help me solve for x
Answer:
x = √80
Step-by-step explanation:
Let's find the hypotenuse of the top side triangle.
Using the Pyth. Theorem:
Let y be the hypotenuse of the top side triangle:
2^2 + 4^2 = y^2
y = √20
Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .
Using the Pyth.Theorem again, we can find x:
x^2 + (√20)^2 = 10^2
x = √80 .
Question 1 of 15
Ahana swims laps on Tuesday and Thursday mornings. On
Thursday she swims 1 more than twice the number of laps
she swam on Tuesday.
If x represents the number of laps that Ahana swam on Tuesday, select the
expression that represents the total number of laps she swam on Tuesday
and Thursday
O A. 2x + 1
B. 3x + 1
O C. 2x + 2
O D. 3x - 1
Answer:
3x + 1
Step-by-step explanation:
What is the mode for this set of data? 34, 36, 56, 58, 58, 58, 61, 62, 62
Answer:
52
Step-by-step explanation:
Mode is the number that appears the most in the set of data, so we would need to find the number that occurs the most. In this case, it's 52.
Answer:
Your answer whould be 58
Step-by-step explanation:
exmple 67,67,78,78,67,43,34,12, the mobe is 67
-3 1/2 - [-12 1/4]...............................................
Answer:
8.75
Step-by-step explanation:
Answer:
8 3/4
Step-by-step explanation:
help me please I'm in a rush
Answer:
56
Step-by-step explanation:
616 divided by 11 equals the height
19.) Vernon has a bank account balance of $24.70, and then deposits $30 into his account. What is
his new balance after the deposit?
-24.7+30=5.3
his new balance is 5.3
Answer:
$54.70
Step-by-step explanation:
take $24.70 and add $30 to it and $24.70+$30=$54.70
If we consider the simple random sampling process as an experiment, the sample mean is a. a random variable. b. always zero. c. exactly equal to the population mean. d. always smaller than the population mean.
The sample mean is an estimate of the population mean.
The sample mean is exactly equal to the population mean
How to determine the true statement
When the population mean is known; the value of the population mean can be used as the sample mean.
This is so because:
The sample mean is an estimate of the population mean.
And it is represented as:
[tex]\bar x = \mu[/tex]
Hence, the true statement is that the sample mean is exactly equal to the population mean
Read more about sample mean at:
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The Hornes buy a trampoline with a regular price of $495.00. It is on sale for 20% off the regular price. After calculating the sale price, they use a coupon for $35.00 off. The salesperson then adds a sales tax of 7%. What is the final price of the trampoline?
Answer:
$368.27
Step-by-step explanation:
495.00*0.20=$99
495-99=396
396-35=361
361*1.07=386.27
Which equation calculates the number of 1/8-foot pieces you can cut from 5 feet of ribbon?
Simplify to create an equivalent expression.
8-4(-x+5)
Thank you!
Wal-Mart buys paper plates for $3.25 and marks them up for 142%. How much do I buy them for?
Multiply the price by the percentage:
3.25 x 142% = 3.25 x 1.42 = 4.62
You pay $4.62
How many 1/4 cup servings are in 3 cups of chololate?
Answer:
The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.
Step-by-step explanation:
each 1 cup had four 1/4 cup in them. So 4 times 3 cups is 12.
There are 12 servings of 1/4 cup in 3 cups of chocolate.
The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.
To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.
1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).
2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.
3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups
Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.
Learn more about Conversion here:
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Find the solution set to the following equation. Answer only in numbers.
x^2+ 8x = 0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x^2 + 8x = 0}\\\larg\text{Firstly: FACTOR the LEFT SIDE of the equation}\\\mathsf{\rightarrow x(x + 8) = 0}\\\large\text{Secondly: SET the FACTORS to equal to 0}\\\mathsf{\rightarrow x \approx 0\ or \ x + 8 = 0}\\\large\text{Thirdly: SIMPLIFY}\\\mathsf{\rightarrow x = 0\ or \ x = -8}\\\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = -8}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]these numbers form an addition and subtraction fact family 6,7,13 choose the fact family formed by these numbers what is the answer
Answer:
6-13=7 , 7-13=6
6+1=7,7-1=6,
Step-by-step explanation:
What’s the Awnser cause I really don’t know
Answer:
Quest 1. is 5.5
Quest 2. is 48
Quest 3. is 7.5
Quest 4. is 6
Quest 5. is 8
Quest 6. is 9