In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they spend studying for their statistics class. The results were used to compute confidence intervals for the population mean hours per week spent studying for statistics. The 95% confidence interval for the population mean hours per week that students spend studying for statistics was (6.83, 8.27). In this confidence interval, what is the sample mean (x bar) hours per week spent studying for statistics? Provide your answer as a number rounded to two decimal places.
Answers
Answer:
The sample mean hours per week spent studying for statistics is 7.55 hours.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean μ is:
\(CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}\)
The 95% confidence interval for the population mean hours per week that students spend studying for statistics was (6.83, 8.27).
Compute the sample mean hours per week spent studying for statistics as follows:
\(\frac{\text{UL + LL}}{2}=\frac{(\bar x+ z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}})+(\bar x- z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}})}{2}\\\\\frac{8.27+6.83}{2}=\frac{2\cdot \bar x}{2}\\\\7.55=\bar x\)
Thus, the sample mean hours per week spent studying for statistics is 7.55 hours.
Related Questions
Please answer and explain fully thank you
Answers
Answer:
Therefore, the roots of the given equation are x = 2, x = 1, and x = -3.
Step-by-step explanation:
This problem involves finding the zeros (or roots) of a polynomial equation, which are the values of x that make the equation equal to zero. The given equation is cubic, meaning it has a degree of 3 and can have up to three real roots.
One way to find the roots of this equation is to use the Rational Root Theorem, which states that any rational root of a polynomial equation with integer coefficients must have the form p/q, where p is a factor of the constant term (in this case 18) and q is a factor of the leading coefficient (in this case 3). However, this method only works for finding rational roots, and there may be irrational or complex roots as well.
Another method is to use a graphing calculator or software to graph the equation and visually locate the x-intercepts, which are the points where the graph crosses the x-axis and the value of y is zero. From the graph, we can see that there are three real roots: one positive, one negative, and one between -2 and -1.
A third method is to use numerical methods (such as Newton's method or the Bisection method) to estimate the roots to a desired level of accuracy. However, this method involves iterative calculations and can be time-consuming.
Without using a graphing calculator, we can try to factor the given equation by using the Rational Root Theorem. The possible rational roots are ±1, ±2, ±3, ±6, ±9, ±18 (all factors of 18 divided by all factors of 3). We can test these roots by substituting them into the equation and seeing if the result equals zero.
Testing x = 1 gives:
3(1)^3 - 2(1)^2 - 13(1) + 18 = 3 - 2 - 13 + 18 = 6, which is not zero.
Testing x = -1 gives:
3(-1)^3 - 2(-1)^2 - 13(-1) + 18 = -3 - 2 + 13 + 18 = 26, which is not zero.
Testing x = 2 gives:
3(2)^3 - 2(2)^2 - 13(2) + 18 = 3(8) - 2(4) - 13(2) + 18 = 0, which means x = 2 is a root.
Using polynomial division, we can factor out (x - 2) from the cubic polynomial to obtain a quadratic polynomial that can be factored:
(3x^3 - 2x^2 - 13x + 18) / (x - 2) = 3x^2 + 4x - 9
Factoring the quadratic gives:
3x^2 + 4x - 9 = (3x - 3)(x + 3)
Setting each factor equal to zero and solving for x gives:
3x - 3 = 0, so x = 1
x + 3 = 0, so x = -3
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
Answers
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
Answers
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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Jody decides to ride her bike from her house to the park. The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike. Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0, and when Jody reaches the park f(2) = 30. From the information given, determine whether each statement is a correct interpretation that can be made about Jody's bike ride. Select Correct or Incorrect for each statement. Correct Incorrect It takes Jody 2 hours to bike to the park. The park is located 2 kilometers from Jody's house. When Jody is at her house she has biked for 0 hours.
Answers
Answer:
A)It takes Jody 2 hours to bike to the park.- Correct
B)The park is located 2 kilometers from Jody's house.- Incorrect
C) When Jody is at her house she has biked for 0 hours.- Correct
Step-by-step explanation:
We are given that The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike.
f(t)= Distance covered in t hours
t = time in hours
Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0
So, Distance covered in 0 hours is 0 km
So, When Jody is at her house she has biked for 0 hours
Jody reaches the park f(2) = 30.
So, Distance traveled in 2 hours is 30 km
So, It takes 2 hours to reach park
A)It takes Jody 2 hours to bike to the park.- Correct
B)The park is located 2 kilometers from Jody's house.- Incorrect
C) When Jody is at her house she has biked for 0 hours.- Correct
Answer:
1. Correct
2. Incorrect
3. Correct
Step-by-step explanation:
the other dude said it lol
who ever helps get brainliest.
Answers
Answer:4 times 5
Step-by-step explanation:
Uhhhhh.....help is needed.
Answers
Answer:
D.
Step-by-step explanation:
Look for the closed circle with the arrow pointing to the right on this one.
Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
Answers
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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This is the answer I got is it correct
Answers
Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?
Answers
Answer:
after 2 secsStep-by-step explanation:
The paths crossed at when the height are equal i.e when f(x) = g(x)
Given
f(x)=−x^2+2x+4
g(x) = 2x
IF f(x) = g(x), then;
−x^2+2x+4 = 2x
−x^2+2x+4 - 2x = 0
−x^2+4 = 0
-x^2 = -4
x^2 = 4
x = ±√4
x = 2 and -2
Time cannot be negative
Hence x = 2
The path crossed after 2 seconds
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
Answers
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answers
Answer:
a) $3480
b) $4036.8
Step-by-step explanation:
The compound interest formula is given by:
\(A(t) = P(1 + \frac{r}{n})^{nt}\)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Suppose that $3000 is placed in an account that pays 16% interest compounded each year.
This means, respectively, that \(P = 3000, r = 0.16, n = 1\)
So
\(A(t) = P(1 + \frac{r}{n})^{nt}\)
\(A(t) = 3000(1 + \frac{0.16}{1})^{t}\)
\(A(t) = 3000(1.16)^{t}\)
(a) Find the amount in the account at the end of 1 year.
This is A(1).
\(A(t) = 3000(1.16)^{t}\)
\(A(1) = 3000(1.16)^{1} = 3480\)
(b) Find the amount in the account at the end of 2 years.
This is A(2).
\(A(2) = 3000(1.16)^{2} = 4036.8\)
The amount in the account at the end of 1 year is $3,480.
The amount in the account at the end of 2 years is $4,036.80.
The formula that can be used to determine the amount that would be in account after a period of time with annual compounding is:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
Amount in a year = $3000 x (1.16)^1 = $3,480
Amount in two years = $3000 x (1.16)^2 = $4,036.80
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-2x + 13 = -7x + 28
Answers
Answer:
x=3
Step-by-step explanation:
step one: first, you want to make it so that the variable x is only on one side. to do this, you use inverse operations. this means adding 7x to both sides.
-2x+7x=5x -7x+7x cancels itself out
the equation is now 5x+13=28
step two: next, you want to isolate the variable x. to do this you are going to use inverse operations yet again, this time subtracting 13 from both sides.
13-13=0 28-13=15
the equation is now 5x=15
step three: lastly, you want get x by itself without the 5 in front of it. using inverse operations for the last time, you are going to divide both sides by 5 because 5x means "5 times x" and division is the opposite of multiplication.
5x/5=x 15/5=3
the answer is now x=3
x= 3.
Step-by-step explanation:1. Write the equation.\(-2x + 13 = -7x + 28\)
2. Add "7x" to both sides of the equation.\(-2x + 13 +7x= -7x + 28+7x\\ \\13+5x=28\)
3. Subtract "13" from both sides of the equation.\(-13+13+5x=28-13\\ \\5x=15\)
4. Divide both sides by "5".\(\frac{5x}{5}=\frac{15}{5} \\ \\x=\frac{15}{5}\\ \\x=3\)
5. Verify.If the result is correct, when we substitute the value of x in the original equation, it should return the same value on both sides of the equal (=) symbol. Let's test it!
\(-2(3 ) + 13 = -7(3) + 28\\ \\-6+13=-21+28\\ \\7=7\)
That's correct! Therefore, the correct answer is x=3.
COULD YALL HELP ME ?!???!
Answers
Answer:
28 degrees
Step-by-step explanation:
We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.
By combining like terms, we get 6x + 12 = 180.
Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.
In a random sample of 100 students from a large high school, 37 regularly bring a reusable water bottle from home. Which of the following gives the correct value and interpretation of the standard error of the sample proportion? (a) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.095 from the true proportion. (b) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.048 from the true proportion. is ne (c) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.095 from the true proportion.
(d) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion (e) There is not enough information to calculate the standard error.
Answers
The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.
What is the best interpretation of the standard errorThe correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."
The standard error of the sample proportion can be calculated using the formula:
SE = √[p*(1-p) / n]
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:
SE = sqrt[0.37*(1-0.37) / 100] = 0.048
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In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothing and carry‑on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not normally distributed, especially when the population includes both men and women, but they are not very non‑Normal. A commuter plane carries 22 passengers. What is the approximate probability P that the total weight of the passengers exceeds 4500 pounds? Use the four‑step process to guide your work. Give your answer as a percentage precise to two decimal places. P=___?
Answers
The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes
Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545
\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)
= 1 - 0.8997
= 0.1003
= 10.03%
Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.
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The graph shows the amount of book sales
over several days. Determine if the
relationship is proportional. Find and
interpret the slope. Then find the unit rate
and compare it to the slope.
Answers
Yes, the relationship is proportional and the slope is 1000/3. The unit rate is also 1000/3. So, slope is directly proportional to the unit rate. Since, slope=unit rate.
What is a slope?When the ratio is expressed as a quotient, the same number is provided for every pair of distinct points on the same line ("rise over run"). In a diagram that shows a roof or a road as a description or a plan, the line may be practical as determined by a road surveyor; on a falling line, there is a negative "rise."
The slope's absolute value can be used to estimate a line's steepness, incline, or grade. The slope of a line in the plane that includes the x and y axes is commonly represented by the letter m and is defined as the difference between the y coordinate and the equivalent difference in the x coordinate between two distinct points on the line.
The sales are directly proportional to the number of days
The slope of the lines is given by (3, 1000), (6, 2000)
Slope=(2000-1000)/(6-3)
Slope=1000/3
From the graph given,
$1000 is obtained on 3 days.
Therefore, the unit rate is 1000/3
Therefore, Slope=unit rate=1000/3
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use pascals triangle to find the coefficient of the third term in the expansion of (a + b)2
Answers
Answer:
2. ( a + b )
Step-by-step explanation:
The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers. To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).
solve the system of equations y = 2x - 5; y = -2x + 3
Answers
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
30. Figure A has an area of 18 sq. ft. Figure B has anarea of 98 sq. ft. and one side length is 14 ft. What isthe corresponding side length of Figure A?
Answers
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem
Figure A and Figure B are similar
so
step 1
Find out the scale factor
scale factor^2=18/98
scale factor=√(18/98)
step 2
To find out the corresponding side length of Figure A, multiply the side length of figure B by the scale factor
so
14*√(18/98)=6
the answer is 6 ft22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answers
Answer:
me too i need help its in my HW and exam
Step-by-step explanation:
Work out the following, giving your answers in their simplest form:
b) 5/9 ÷ 5
Answers
Answer:
5/9÷55/9×1/51/9Hope it helps youAnswer:
Since i m not sure of the equation i have dont both possible ways :)
Step-by-step explanation:
b)
(5/9) ÷ 5
\(= \frac{5}{9} \div 5\\\\=\frac{\frac{5}{9}}{5}\\\\=\frac{5}{9 \times 5}\\\\=\frac{1}{9}\)
5/(9÷5)
\(=\frac{5}{9 \div5}\\\\= \frac{5}{\frac{9}{5}}\\\\=\frac{5 \times 5}{9}\\\\=\frac{25}{9}\)
The diameter of a quarter is about 1 in.
You trace around the edge of the quarter on a sheet of paper.
What is the area of the circle on the paper?
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answers
Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
Factor the expression using the factoring pattern
25m^2+36
Answers
Answer:
25m2+36
Step-by-step explanation:
What is 6/20 of a dollar
BRAINLIEST IS RIGHT
Answers
Answer: 30 cents
Step-by-step explanation:
1/20 of a dollar is 5 cents
Then we multiply by the numerator (6) to get our answer....
5x6= 30
Hoped this helps! :)
using d= rt, find r if d= 350 miles and t= 5 hours
Answers
Answer:
70 miles /hour = r
Step-by-step explanation:
d=rt
Substitute d=350 miles and t = 5 hours
350 miles = r* 5 hours
Divide each side by 5 hours
350 miles = 5 hours = r
70 miles /hour = r
Please help find the answer. Thank You!
Answers
Answer:
Step-by-step explanation:
208
Determine the quotient of 3 over 7 divided by 2 over 3 .
Answers
Answer:
9/14
Step-by-step explanation:
When you find the quotient of 3/7 and 2/3, you flip 2/3 and multiply the numerators and the denominators.
Answer:
9 over 14
Step-by-step explanation:
keep the first fraction the same. change the division sign to multiply, and flip the 2 over 3 to 3 over 2 and just multiply from there
QUIZ
Multiplying with Fractions
Which expression is represented by this model?
01/1
0 + x ² = 1/2
• 3 x 4 = 16
↑
-1
2
3
4
5
6
Answers
Answer:
The model represents the equation "0 + x² = 1/2", which is not directly related to multiplying with fractions.
Enola is saving money and plans on making monthly contributions into an account
earning a monthly interest rate of 0.4%. If Enola would like to end up with $5,000
after 3 years, how much does she need to contribute to the account every month, to
the nearest dollar? Use the following formula to determine your answer.
Answers
Enola needs to contribute $4,330.68 per month to the account.
How much does Enola need to contribute to the account?Let's denote the monthly contribution as X.
The interest rate is 0.4% per month.
Since Enola plans to save for 3 years, the total number of months is:
= 3 * 12
= 36 months.
Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods
We will plug values:
$5,000 = X * (1 + 0.004)^36
X = $5,000 / (1 + 0.004)^36
X = $5,000 / (1.004)^36
X = $4,330.68248
X = $4,330.68.
Five chicken nuggets have 160 calories. How many calories are in 9 chicken nuggets?
A) 32 calories
B) 288 calories
C) 800 calories
D) 1,440 calories
Answers
Answer:
B
Step-by-step explanation:
16 Divided by 5= 32
32 x 9 = 288
Answer:
B) 288 calories
Step-by-step explanation:
First you would have to divide the calorie amount you have (160) by how many chicken nuggets the calories equal (5), which would give you 32 calories per chicken nugget. Next you multiply 32 (the calories) by 9 (the new amount of chicken nuggets), and you would get 288 calories.