Answer:
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.11
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Ms. Vasquez's daughter lives 1,650 miles away. Ms. Vasquez won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she travel roundtrip to see her daughter on free gas? Explain how you know.
Answer:
yes, since it takes 48 gallons of gas to go one direction to go back it is 96
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.
To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.
Helpppppppppppppooopp
Answer:
I can't see clearly
Step-by-step explanation:
A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 66 properties in one week. Round your answer to four decimal places.
Answer:
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
12 properties
This means that [tex]n = 12[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling no more than 6 properties in one week.
This is:
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002[/tex]
[tex]P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029[/tex]
[tex]P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161[/tex]
[tex]P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537[/tex]
[tex]P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208[/tex]
[tex]P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934[/tex]
[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127[/tex]
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
CAn someone help me plsss
13.76
Divide 27.52 by 2 to get 13.76
Solve for x.
109= -x + 267
X=
x 5
?
Answer:
x=158
Step-by-step explanation:
109=-x+267
-267 -267
-158=-x
x=158
(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)
Use the following information. (pls hurry)
SPORTS In a football game, each team earns 6 points for each touchdown it scores.
Write an equation to find y, the total number of points for scoring x touchdowns.
Find the surface area of the cylinder. Round your answer to the nearest tenth.
IF YOU ANSWER THE QUESTION CORRECTLY I WILL GIVE YOU BRAINIEST.
Answer:
188.5ft²
Step-by-step explanation:
Surface area of cylinder = 2πrh+2πr²
=2π3*7+2π3²
=42π+18π
=60π=188.495559215≈188.5ft²
can anyone solve these and show work? please help a girl out lol
A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.
The height of the prism is _____ inches,square inches,cubic inches
Answer:
I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!
Answer:
The answer is 7 square in
Step-by-step explanation:
Do this formula
V=Bh
105=15h
h=7 square in
Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5
Answer:
y-intercept (0,-5) and AOS x = -4
Step-by-step explanation:
To find the y-int make x = 0 so f(0) = -5
The axis of symmetry (AOS) can be found by the equation x = -b/2a
So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a
what is the domainof f(x)=4^x
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain of given function is set of real numbers
Scott wants to put soil in his garden shown below. If soil comes in bags that fill 3 square yards each, how many bags of soil should Scott buy
Answer:
5
Step-by-step explanation:
Becuase his backyard is 15 square yards.
Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.
PLEASE HELP
Answer/Step-by-step explanation:
H = V/lw
H = 984/20.5*6
H = 984/128
H = 8
ANSWER:
H = 8
What is the range for the set of data?
A. 4
B. 6
C. 3.5
D. 0
I don’t want a link, so if you were gonna send one, ignore this instead
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 434[/tex]
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 434[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that [tex]\mu = 434[/tex]
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]
[tex]z = -0.75[/tex]
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
A cylinder has a height of 15 millimeters. Its volume is 10,597.5 cubic millimeters. What is the
radius of the cylinder?
Answer: 15
Step-by-step explanation: r=V
πh=10597.5
π·15≈14.9962
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
Answer:
i got 20 weeks. i divided 180 by 9 and i got 20. i'm not sure if it's what you're looking for, but i hope it helps.
Step-by-step explanation:
Ed's dog Zoe ate almost 18% of the 4 dozen cookies he baked.
Which is the best estimate of the number of cookies Zoe ate?
Answer:
.72 or 1
Step-by-step explanation:
it is .72 in decimals but if you wanna round up to a whole number it's 1
800:2 in the simplest form
Answer:
400:1
Step-by-step explanation:
800:2
800/2:2/2
400:1
Which graph shows the solutions to the inequality? Please help ASAP!
Answer:
A1/A2=b1/b2 is not equal to C1/c2
A tutor earns $220 for 4 hours of tutoring. At the same rate, how much would the tutor earn for 3 hours of tutoring?
A. $150
B. $155
C. $165
D. $180
The table shows the number of pages Michael read and the number of hours he read each day.
Answer:
i love fishing!
Step-by-step explanation:
what is 2 x 2? answer dumly
A woman sold an article for $1400.00 and made a profit 25%. Find the cost price and the profit
Answer:
$1120 and $280.
Step-by-step explanation:
$1400 = 125%
100% = $1120
The cost of the price was $1120.
$1400 - $1120 = $280.
The profit was $280.
Hope this helps!
Kristy is going to a college where tuition is $8,000 per year. She has a scholarship that pays 80% of tuition. Her aunt is giving her $1,000 per year. How much will Kristy need to borrow to pay tuition each year?
What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why
A. 1/2x + 7
B. x + 7
C. 1/4X - 3
D.1/2x - 3
Answer:
D. 1/2x - 3Step-by-step explanation:
(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3Correct choice is D
who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer
Answer:
The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.
Step-by-step explanation:
A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.
Answer: statistical question
Step-by-step explanation:
cause your asking the current vice president.
find the circumference and the area of a circle with the diameter of 8 m.
Answer:
circumference = 8 x 3.14 = 25.12 m
area = 3.14(4²) = 50.24 m²
Step-by-step explanation:
Answer:
C= about 25.13
A= about 50.27
Step-by-step explanation:
The formula for circumference is 2* pi* r
The formula for area is pi *r^2
Write the additive inverse and multiplicative inverse of 3-7i?
Step-by-step explanation:
additive inverse means multiplying 3-7i by it's conjugate which would be
(3-7i)(3+7i)=3^2+7^2=9+49=58
the multiplicative inverse of a number z is 1/z
1/(3-7i)
multiply numerator and denominator by 3-7i's conjugate and it equals 58
(3-7i)/58
3/58-7/58i
Hope that helps :)
The function f is defined by f(x) = 57. What is the value of f(3)?
O 15
O 25
O 53
O 125
Answer:
53
Step-by-step explanation:
Because
