Statistics: a professor recorded 10 exam grades but one of the grades is not readable. if the mean score on the exam was 82 and the mean of the 9 readable scores is 84 what is the value of the unreadable score?
Answers
To mean of a set is given by the sum of all values in the data-set divided by the number of values.
We have that the mean of the whole set is 82.
The mean of the 9 readable scores is 84.
So:
\(\begin{gathered} \frac{x}{9}=84 \\ x=84\cdot9 \\ x=756 \end{gathered}\)So, we 9 readable scores add up to 801. If we add 756 to a number, y, and divide by 10, we'll have the mean score of the exam, 82.
\(\begin{gathered} \frac{756+y}{10}=82 \\ 756+y=820 \\ y=820-756 \\ y=64 \end{gathered}\)So, the grade of the unreadable score was 64.
Related Questions
What distance can a plane travel of. It travels at a rate of 845 mph for 6 1/2 hours
Answers
Answer:
5,492.5 Miles
Step-by-step explanation:
Because it traveled 845 miles each hour for 6 hours and a half. So 845 times 61/2 or 6.5 is 5,492.5.
how do I solve it? I don't know how, I can't remember and I don't have my notes
Answers
Answer:
-2
Step-by-step explanation:
\(\frac{(-2)^3+3 (4)}{-8+6}\)
\(= \frac{-8 + 12}{-2}\)
\(= \frac{4}{-2}\)
\(= -2\)
Answer:
2.3
Step-by-step explanation:
First we must get rid of the exponent, which is that little 3 at the top.
To do this, we will do:
(-2) × (-2) × (-2) = -8
Now we have -8 + 3.4, which equals -4.6
Next we will combine the numbers in the denominator, to get -2.
Now, all together, we have -4.6/-2.
Last but not least, we will divide -4.6 by -2, to get 2.3
And that's your answer, hope this helps you :)
Sorry if it doesn't, though.
Divide. −3.52−2.2 What is the quotient
Answers
The quotient of - 3.32 / - 2.2 is 8 ÷5.
What is the quotient?Given fraction:
-3.32 / -2.2
First step is to re-write the given fraction which is - 3.52 / - 2.2
3.52 / 2.2
Second step is to convert the decimal to fraction
352 ÷ 100 / 22 ÷10
Third step is to reduce the fraction
reducing 352/100
=(2^5 × 11)/(2^2 × 5^2)
= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]
= (2^3 × 11)/5²
= 88/25
Reducing 22/10
Divide the numerator and denominator by the greatest common divisor
= 22 ÷ 2 / 10 ÷ 2
= 11 /5
Now let determine or find the quotient
88 ÷ 25 × 11 ÷ 5
= 8 ÷ 5
Therefore we can conclude that 8 ÷ 5 is the quotient.
Learn more about quotient here: https://brainly.com/question/11418015
#SPJ1
A real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged,” meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the five staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers.
The agent tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 < 0, where μ1 = the true mean selling price of all comparable empty homes and μ2 = the true mean selling price of all comparable staged homes. Are the conditions for inference met for carrying out a t-test for a difference in means?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all of the conditions for inference have been met.
Answers
Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.
Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.
The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.
The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.
The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.
Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.
For more questions on t-test
https://brainly.com/question/6589776
#SPJ8
The product of a number and 7 less than the number is 60. Find the number.
Answers
Either 1, 2, 3, 4, 5, 6,m 7, and 8.
Find the value of x
Answers
Answer:
110 degrees
Step-by-step explanation:
i know this for a fact could you pls hit the crown to give brainliest when other person answers?
Answer:
x=110 degrees
Step-by-step explanation:
just trust me lol
What is the approximate volume of the sphere shown?
r= 13 inches
o 527 cubic inches
o 7327 cubic inches
o 2,9297 cubic inches
0 2,1977 cubic inches
< Previous
Answers
Answer:
2,197 is D
Explanation:
4/3 * 3.14 * 13^3 =
2,197
In a race, two cars travel around a circular track. One completes the track in 6 second and the other one in 6.5 seconds. If they leave the starting line together, how long will be before they are both side by side at the starting line again? what is the LCM ?
Answers
Answer:
39seconds
Step-by-step explanation:
LCM=6×6.5=39seconds
BRAINLIEST TO CORRECT explain each rule and specific steps to get the answer to this problem
Answers
Answer:
2/15
Step-by-step explanation:
7×4=28
21×10=210
so when reduced to lowest terms its 2/15.
A chocolate company makes chocolate malt balls that are 0.8 inches in diameter. The carton they are to be packed in is approximately a rectangular prism with the dimensions 4 inches by 3 inches by 7.5 inches. How many malt balls will fit in the
Answers
Given parameters:
Diameter of the malt balls = 0.8in
Dimensions of the prism = 4in x 3in x 7.5in
Unknown:
Number of malt balls that will fit in the carton = ?
Solution:
To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.
Volume of the malt balls = \(\frac{4}{3} \pi r^{3}\)
This is because we assume that the balls have a spherical shape.
Where r is radius and π is a constant
Radius of the malt balls = \(\frac{0.8}{2}\) = 0.4in
So, volume = \(\frac{4}{3} x 3.142 x 0.4^{3}\) = 0.27in³
Volume of the rectangular prism = l x w x h
where l is the length
w is the width
h is the height
So the volume is 4 x 3 x 7.5 = 90in³
The number of malt balls that can be packed here = \(\frac{90}{0.27}\) = 333 malt balls
What is the ratio of 6.4 and 8
With steps
Answers
Answer:
Convert fraction (ratio) 6.4 / 8 Answer: 80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
6.4/8
64/80
64/100×100
80%
So the answer is 80%
An item on sale costs 85% of the original price. The original price was $33.
Use the ALEKS calculator to find the sale price.
?
Answers
Answer: 28.05
Step-by-step explanation:
Mofor has homework assignments in five subjects. He only has time to do two of
them.
Answers
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
For more such questions on homework
https://brainly.com/question/28521601
#SPJ8
Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
Answers
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
To learn more about congurency refer here
https://brainly.com/question/1675117
#SPJ1
18 The sides of an isosceles triangle are measured correct to the nearest millimetre.
One side has a length of 8.2 cm and another has a length of 9.4 cm.
Find the largest possible value of the perimeter of this triangle.
Answers
Answer:
Step-by-step explanation:
largest perimeter=9.4+9.4+8.2=27.0 cm
or it can be one side=82.4 mm
other sides =94.4 mm
largest perimeter=94.4+94.4+82.4=271.2 mm=27.12 cm
HELPP!!! ASAP!!! What is the domain of F(x) = 2|x-1| + 3?
O A.
{x | X23)
OB.
{x | x< 1)
O c.
{x | x5-1)
O D.
{x | x = all real numbers)
Answers
Answer:
D.
Step-by-step explanation:
The function is an absolute value. That just means that all the y-values (in this case) will be positive, but there is nothing that limits the x-values. So, D. {x | x = all real numbers}.
Hope this helps!
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
Answers
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
To learn more about logarithmic function visit:
brainly.com/question/1616298
#SPJ1
Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
In ΔTUV, u = 3.4 inches, m∠U=144° and m∠V=35°. Find the length of v, to the nearest 10th of an inch.
Answers
The length of v to the nearest 10th of an inch is 2.0 inches.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the Law of Sines,
Which states that for any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.
Now,
a = UV = u = 3.4 inches
A = ∠TUV
= 180° - m∠U - m∠V
= 180° - 144° - 35°
= 1°
B = ∠UTV
= m∠U
= 144°
C = ∠TVU
= m∠V
= 35°
Using the Law of Sines,
v/sin(C) = u/sin(B)
Substituting in the values.
v/sin(35°) = 3.4/sin(144°)
Solving for v.
v = (3.4 × sin(35°)) / sin(144°)
v = 1.97 inches
Therefore,
The length of v to the nearest 10th of an inch is 2.0 inches.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ9
How much could you save for retirement if you chose to invest the oney you spend on Starbucks coffee in one year? Assume you buy one venti latte for $4.50 each weekday for 50 weeks and can invest the total amount in a mutual fund earning 5% compounded annually for 30 years. ROUND THE ANSWER TO TWO DECIMAL PLACES.
Amount saved for retirement: ________________
Answers
Answer:
The answer should be $7,087.50
Step-by-step explanation:
4.50 x 50 = 225
225 x 1.05 = 236.25
236.25 x 30 = 7087.50
Compound interest is the interest we earned from the principal together with the interest.
The formula for compound interest:
A = P \((1 + \frac{R}{n})^{nT}\)
P = $1125
R = 5% compounded annually
Time = 30 years.
The amount saved for retirement is $4861.13.
What is compound interest?It is the interest we earned from the principal together with the interest.
The formula for the amount earned with compound interest after n years is given as:
The formula for compound interest:
A = P \((1 + \frac{R}{n})^{nT}\)
We have,
Principal:
There are 5 weekdays in a week.
50 weeks = 50 x 5 weekdays = 250 weekdays.
One weekday = $4.50
250 weekdays = 250 x 4.50 = $1125
Now,
P = $1125
Rate = R = 5%
Time = T = 30 years
n = 1
The formula for compound interest:
A = P \((1 + \frac{R}{n})^{nT}\)
A = 1125 \((1 + \frac{5}{100}) ^{30}\)
A = 1125 x 4.321
A = 4861.125
A = $4861.13
Thus,
The amount saved for retirement is $4861.13.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
graph x2 - y2 = 16 what are the lines of symetry
Answers
Answer:
it has 4 lines of symetery the x - axis,the y-axis,y=x,and y ''Cx every line through the center is a line of symetry
Step-by-step explanation:
Solve for x and graph the solution on the number line below.
Answers
The solution of the inequality is 8 ≥ x or x > 10. The graph of the solution is attached
How to solve for x and graph the solution on the number line?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Solving for x:
11≥ 2x - 5 or 2x - 5 > 15
Collect like terms:
11 + 5 ≥ 2x or 2x > 15 + 5
16 ≥ 2x or 2x > 20
8 ≥ x or x > 10
Note: 8 ≥ x can also be written as x ≤ 8
We can combine the two as follow:
Inequality notation: 8 ≥ x > 10
The graph of the solution is attached
Learn more about inequality on:
brainly.com/question/25275758
#SPJ1
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A. x = -9
B. X=-6
C. y=-9
D. y=-4
Answers
Answer:
B. x = -6
Step-by-step explanation:
Use a graphing calculator such as desmos and enter each equation, you'll find the only one that falls on (-6, -9) and is perpendicular is B.
Answer:
B. x = -6
Step-by-step explanation:
if a shirt selling for $ 18 is marked up to $20 then the percentage increased is equal to
Answers
Answer:
11.11%
Step-by-step explanation:
the increased price = 20-18 = $2
the percentage increased = 2/18 ×100%
= 11.11%
Answer: Percent increase = 11.11%
Concept:
Here, we need to know how to find the percentage of increase.
Percent increase is a measure of percent change, which is the extent to which something gains value.
Percent increase = [(final value - initial value) / initial value] × 100%
Solve:
Given information
Initial value = $18
Final value = $20
Given expression
Percent increase = [(final value - initial value) / initial value] × 100%
Substitute values into the expression
Percent increase = [(20 - 18) / 18] × 100%
Simplify values in the parentheses
Percent increase = [2 / 18] × 100%
SImplify by multiplication
Percent increase = 11.11 % (Rounded to the hundredth place)
Hope this helps!! :)
Please let me know if you have any questions
What is the best estimate of the sum of 5 1/5 and 8 5/6
Answers
The necessary interventions for a patient with acute pan-creatitis who is at risk for paralytic ileus are options 1, 2, 4, and 5. Because, The common consequence of acute pan-creatitis known as paralytic ileus prevents the intestines' normal motility by inflaming the tissues around it.
(1).Provide enteral feedings: Enteral nutrients may help to encourage bowel movement.
(4).Ask if patient has passed : The passing of flatus can indicate the return of bowel function
(5).Maintain nasogastric tube : An NG tube can aid in stomach decompression and stop gastric distension.
To know more about Acute pan-creatitis, here
brainly.com/question/29387316
#SPJ4
To know more about Acute pan-creatitis, here
brainly.com/question/29387316
#SPJ4
Se va a cercar un terreno de forma circular que mide de radio 25cm ¿cuántos metros de alambres de púas se necesitan?
Answers
1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.
We have,
To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.
Given:
Radius (r) = 25 cm
The formula for the circumference (C) of a circle is:
C = 2πr
Substituting the given radius into the formula, we have:
C = 2π x 25 cm
Now, we can calculate the circumference in centimeters.
C = 2 x 3.14 x 25 cm
C ≈ 157 cm
Now,
To convert centimeters to meters, we divide the circumference by 100.
C (in meters) = 157 cm / 100
C (in meters) ≈ 1.57 meters
Therefore,
Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ1
The complete question.
A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?
An athlete runs 1 mile in 5 minutes 52 seconds.
What is his average speed in feet per second?
A) 10 fps
B) 12 fps
C) 15 fps
D) 18 fps
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Evaluate the function rule for the given value y=12•3x for x=-2
Answers
Answer:
-72
Step-by-step explanation:
We just have to plug in -2 for x so the answer is 12 * 3 * (-2) = -72.
Mary is planning to survey a sample of women to find out how much money the average woman spent on lipstick last year. What sample size will she need, if she wants to be 95% confident that her sample mean is no more than $4 away from the population mean, and assuming a standard deviation of $20? A. 100
Answers
Answer: The required sample size = 97
Step-by-step explanation:
If prior population standard deviation is known, then the minimum sample size can be computed as:
\(n=(\frac{z^*\times\sigma}{E})^2\)
,where z* = critical z-value
\(\sigma\) = population standard deviation
E = Margin of error
As per given,
\(\sigma=20,\ E= 4\)
Critical value for 95% confidence = 1.96
\(n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97\)
Hence, the required sample size = 97
is 0.7 rational or irrational
Answers
Answer:
rational
Step-by-step explanation:
cause the decimal expansion ends in Os. decimal point
A small school has 78 students. If 24 of the students are boys, what is the ratio of girls to boys?
Answers
Answer:
a
Step-by-step explanation:
Answer:
54 girls
Step-by-step explanation: