Suppose the population is all VCU students who track their steps each day. Among these students suppose the mean number of steps per day is 8989 with a standard deviation of 688. There are a few students who take many steps per day, and hence the distribution is skewed heavily to the right. If a simple random sample of 169 VCU students who track their steps each day is selected and the number of steps per day is determined for each, describe completely the sampling distribution of , the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 8989 and standard deviation 52.92.
Step-by-step explanation:
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.
Mean number of steps per day is 8989 with a standard deviation of 688.
This means that [tex]\mu = 8989, \sigma = 688[/tex]
Describe completely the sampling distribution of the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Sample of 169 means that [tex]n = 169[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean [tex]\mu = 8989[/tex] and standard deviation [tex]s = \frac{688}{\sqrt{169}} = 52.92[/tex].
Pls help I'll give brainlest
Answer:
B
Step-by-step explanation:
C and D are eliminated since those make it bigger and there are 5 zeros so the answer is B.
When x=5, which expression has the greatest value?
A. 2x+6
B. 3x+2
C. 4x−5
D. 5x−10
Choose one correct answer.''
Answer:
b. - 3x+2
Step-by-step explanation:
(6x2 – 12x + 48) - (-x? + 247 - 63)
x?+6x^2+12x-136
I think this is the answer
Answer:
6x2−11x−136
Step-by-step explanation:
Let's simplify step-by-step.
6x2−12x+48−(−x+247−63)
Distribute the Negative Sign:
=6x2−12x+48+−1(−x+247−63)
=6x2+−12x+48+−1(−x)+(−1)(247)+(−1)(−63)
=6x2+−12x+48+x+−247+63
Combine Like Terms:
=6x2+−12x+48+x+−247+63
=(6x2)+(−12x+x)+(48+−247+63)
=6x2+−11x+−136
Round 4/5 please, will be marked brainliest. explain how to estimate
Answer:
0.8 or 4/5
Step-by-step explanation:
Help this type of work confuses me
Answer/Step-by-step explanation:
Given:
-x + 3x + 1 + 4(x + 2) = 54
To solve, first open the bracket by applying the distributive property. Multiply every term you have in the bracket by 4
-x + 3x + 1 + 4x + 8 = 54
Add like terms together
6x + 9 = 54
Subtract 9 from each side
6x = 54 - 9
6x = 45
Divide both sides by 6
x = 45/6
x = 7.5
Beth is putting liquid fertilizer on the plants in three flower pots her measuring Spoon holds 1/8 teaspoon the directions say to put 3/8 teaspoon out of fertilizer in each pot how many times will Beth need to fill the measuring spoon to fertilize the plants in the three pots Bethel need to fill the measuring spoon _____ times
Answer:
9
Step-by-step explanation:
She will need to fill the measuring spoon 3 times for each pot since 1/8 *3 is 3/8. Multiply the 3 by 3 since there are three pots to get 9 .
0.5 to the power of 5. help
Answer:
Very simple. 0.03125
Step-by-step explanation: 0.5x0.5x0.5x0.5x0.5=0.03125
True or False?
The domain and range of a cube root function are always all real numbers.
Answer:
True
For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).
Hope that helps!
Step-by-step explanation:
PLS Find the perimeter:
Answer:
perimeter =sum of all side=29+8+16+22+8+22+29-16=118cm
A Swordfish can weigh up to 1,400 kilograms. A human weighs 70 kilograms. How many humans weigh the same as a Swordfish? (GIVING BRAINLIEST)
Answer:
20
Step-by-step explanation:
1400/70 = 20
Answer: 20
Answer:
about 20 humans
Step-by-step explanation:
If a human weighs 70 kilograms, it takes about 20 to weight the same as the swordfish
The regular price of a camera is $195. A store offers a 45% off sale. What is the sale price of the camera?
$107.25
$87.75
$150.00
$110.15
Answer:
The Answer is A. $107.25
Step-by-step explanation:
PLZ HELP PLZ HELP PLZ HELP WILL GIVE BRAINLY
Answer:
Steps 4 and 5
Step-by-step explanation:
Paula divided both sides in 4 and 5 to keep the equations equal.
Hope that this helps!
A test has 2 multiple choice questions, each with five choices. What is the probability of guessing the correct answer to both questions?
Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y< 6 O D. 2x - y > -6 E. 2x + y26
Answer:
It would be A
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answer:
♥♥♥
I tried solving this answer and got 25.2. So, I think you're answer will be 25.
Step-by-step explanation:
I divided 63 by 2.5. Hope I helped.
This graph shows a linear relationship
between the water level in a tank and time
elapsed.
Enter the initial water level, in feet, of the
water tank.
prove triangle congruence part 1 e
9514 1404 393
Answer:
4. "corresponding angles"
Step-by-step explanation:
We presume you're looking for an error in the proof.
The error is in Reason 4. The reason shown refers to "alternate interior" angles, but names "corresponding" angles.
The proof will be correct if the wording "alternate interior" is replaced by "corresponding" in Reason 4.
5. Laney is 4 feet 8 inches tall. There are 2.54
centimeters in 1 inch. What is Laney's height in
centimeters?
A. 22.05
B. 96.8
C. 142.24
O D. 160.32
will mark brainlest
Select the object with a mass less than 1 kilogram. A.Banana B. Pencil C. Sunglasses D. Dog
Answer:
B. A pencil
Hope it works
Ben has a collection of baseball cards. He has a total of 1,600 cards. Of the baseball cards, 35% are dated before 1980, 25% are dated from 1980 to 2000, and the rest are dated after 2000.
How many baseball cards in Ben’s collection are dated after 2000?
Answer:
640 i think
Step-by-step explanation:
In a math class with 19 students, a test was given the same day that an assignment was due. There were 10 students who passed the test and 11 students who completed the assignment. There were 6 students who failed the test and also did not complete the assignment. What is the probability that a student chosen randomly from the class passed the test and completed the homework?
Answer:
8/19
Step-by-step explanation:
The probability that a student is chosen randomly from the class passed the test and completed the homework will be 0.1637.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
In a math class with 19 students, a test was given the same day that an assignment was due.
There were 10 students who passed the test and 11 students who completed the assignment.
There were 6 students who failed the test and also did not complete the assignment.
Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be
The number of the student who has done at least one assignment or passed the test is 19 - 6 = 13
n(A) = passes student
n(B) = given assignment
Then we have
[tex]\rm n(A \cap B) = n(A) + n(B) - n(A \cup B) \\\\n(A \cap B) = 10 + 11 - 13\\\\n(A \cap B) = 8[/tex]
Then the probability will be
[tex]\rm P = \dfrac{^8C_2}{^{19}C_2}\\\\P = \dfrac{28}{171}\\\\P = 0.1637[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Find the area of the polygon in square units.
Answer:
I wanna say 18 but I'm not to sure
Last year, the mean running time for a certain type of light bulb was 8.5 hours. This year, the manufacturer has introduced a change in the production method. A random sample of 40 of the new light bulbs has a mean running time of 8.7 hours with a standard deviation, s, of 0.5 hours. At the 0.05 significance level, test the claim that the mean running time of the new light bulbs is greater than last year’s mean of 8.5 hours. a) State the null and alternative hypotheses symbolically. b) Which test procedure is appropriate to perform the required hypothesis test? c) Compute the value of the test statistic. d) Determine the P-value or provide the rejection region. Please round your answers to three decimal places. e) Should you reject the null hypotheses or not? f) What is your conclusion about the hypothesis test?
Answer:
H0 : μ = 8.5
H1 : μ > 8.5
1 sample t test ;
Test statistic = 2.53
Pvalue = 0.994
No, we fail to reject the Null ;
There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ > 8.5
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(8.7 - 8.5) ÷ (0.5 / sqrt40)
Test statistic = 2.53
The Pvalue :
P(Z < 2.53) = 0.9943
Pvalue = 0.994
Decison region :
Reject H0 ; if Pvalue < α
0.9943 > 0.05 ; We fail to reject the Null
Find the measure of 2.
Answer:
115
Step-by-step explanation:
When two parallel lines are intersected by a third line, the angles on both parallel lines are congruent.
Knowing this we can determine that angle 1 is 65 degrees.
Additionally, we know that angle 1 + angle 2 = 180 degrees.
From there we can substitute the measures to determine that 65 + x = 180 and x = 115
please help.... 50% of my grade
Answer:
Ernesto's construction is wrong.
Step-by-step explanation:
Ernesto's construction is wrong.
This is because when bisecting an angle, the first thing we do is to place the compass at the vertex of the angle we want to bisect and draw an arc that will cross both lines that form the angle.
In Ernesto's case the arc drawn was not a single one but drawn separately as is seen in the image.
The arc on line AV does not continue to line VI but instead he drew another arc with different compass width on line VI before bisecting the angle.
how do I solve this?
the answer would be B ( 4,-5) because when I put them on a graph it came up with the right one
Help please my assignment is due at 7❗️You get brainleist and points if u help just the numbers 10 11 and 12
Answer:
the answer for 12 would be 63
Step-by-step explanation:
7 x 9 x 1
qual o numero de habitantes em Ubaitaba
Step-by-step explanation:
Números de personas: 18,847 in 2020
Jane ran 72 miles in 6 days. Then she tripled her rate. How long would it take her to travel 648 miles at the new speed?
Plz help.
Answer:
18 days
Step-by-step explanation:
72/6=12 miles per day
12*3=36
648/36=18 days