The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex]Sample size = n Population mean (hypothesized)= [tex]\mu[/tex]Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.
We're provided that:
n = sample size = 81sample mean = [tex]\overline{x}[/tex] = 3.25sample standard deviation = s = 0.3hypothesized population mean with which comparison is done = [tex]\mu= 3.5[/tex]Thus, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]
Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
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Assume the radius of a circle is
unit
What is the area of the circle? What is the circumference?
How many radii are needed to wrap completely around the circle? Express your answer as a decimal approximation and as an exact value.
Does the size of the circle matter? That is, does the number of radii needed to wrap completely around the circle change as the radius of the circle gets larger or smaller? Why does this make sense?
Exactly how many radians are in
? In
Answer:
Step-by-step explanation:
They want you to see how radius is important. Just remember that one radian is one radius, that should help you see why radius is important.
They ask for the unit circle , that is a circle of one unit for the radius, which makes it super easy to calculate things for it, they ask what is the area, which is that famous formula, π[tex]r^{2}[/tex] , then they ask what's its circumference. which is that other famous formula 2πr
so to go all the way around a circle of one unit radius, it's 2π exactly or about 6.28..... units, call it meters, or feet or inches, it doesn't mater here.
the size of the circle doesn't matter here either, b/c we are using the radius , that relaationship doesn't change , all circles, what ever size , have this same relationship between the radius and radians. :P this is handy.
A. 0
B. 1
C. 2
D. Cannot be determined from the graph
I think the answer is c.2
Please solve this!!!
Answer:
I believe A has the proper quartiles and the approx median marked correctly
Step-by-step explanation:
what is the median of the distribution
I need a equation for my parabola! I tried so many times and got it WroNg-
Answer:
Step-by-step explanation:
Not QUITE a parabola . but up until y = 4 it is close
Vertex = (-7-10)
Vertex form of parabola
y = a ( x+7)^2 -10 find a integer-coordinat point to calculate 'a'
I'll use -18,0
0 = a(-18+7)^2 -10
0 = 122 a -10 a = 10/122
y = 10/122 (x+7)^2 - 10 see graph below:
A line up for tickets to a local concert has an average waiting time of 40 minutes with a standard deviation of 7 minutes. If 5000 tickets buyers were in
line, how many of them would expect to wait for less than 47 minutes?
3.A
2.59 %
3.B
.16 x 2,000 = 320
Judging by appearance, is it reasonable to say that the figures below are similar? How do you know?
Answer:
C
Step-by-step explanation:
the proportions all seem to stay the same, so while the second figure is smaller, all parts of the figures seem to follow the same scaling factor.
there are 8 isoceles triangle "rays" emanating from a central circle in both figures. so, also the main characteristics are the same.
the smaller figure appears rotated compared to the other.
so, it was rotated and then dilated (or vice versa, as the sequence of these 2 operations is irrelevant).
Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes.
Complete and solve the equation that finds the number of dimes he will pay you after the 7th study session.
Answer:
78125 dimesStep-by-step explanation:
The payment for sessions makes a series
5 dimes, 5*5 = 25 dimes, 25*5 = 125 dimes, ...This series is GP with the first term of 5 and common ratio of 5.
The nth term would be
[tex]t_n=5*5^{n-1}[/tex]Use the equation above and find the 7th term
[tex]t_7=5*5^6 = 5^7 = 78125[/tex]Answer:
[tex]a_7=5(5)^{6}[/tex]
78125 dimes
Step-by-step explanation:
The given scenario can be modeled as a geometric sequence.
A geometric sequence has a common ratio (multiplier) between each term, so each term is multiplied by the same number.
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
n is the nth terma is the first termr is the common ratioGiven:
The friend will pays 5 dimes the first time you help him.Therefore, a = 5
Given:
The friend multiplies your payment by 5 for each study session.Therefore, r = 5
Substitute these values into the formula to create an equation for the nth term.
[tex]\implies a_n=5(5)^{n-1}[/tex]
To find the number of dimes he will pay after 7 sessions, simply substitute n = 7 into the found equation:
[tex]\implies a_7=5(5)^{7-1}[/tex]
[tex]\implies a_7=5(5)^{6}[/tex]
[tex]\implies a_7=5 \cdot 15625[/tex]
[tex]\implies a_7=78125[/tex]
Therefore, the friend will pay 78125 dimes after the 7th study session.
Mr Jauregui hits a baseball straight up into the air. The baseball is hit with an initial vertical velocity of 16 ft/s when it is 6ft off the ground. The quadratic function that models the height h of the ball after t seconds in flight is h(t)=-16t+16t+6. How many feet above the ground will the ball be at the highest point of the flight?
Step-by-step explanation:
This is an example like it , because I 'm lazy to write it ...
Watch help video
The population of a city increases by 0.8% per year. If this year's population is
108,000, what will next year's population be, to the nearest individual?
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &108000\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=108000(1 + 0.008)^{1}\implies A=108000(1.008)\implies A=108864[/tex]
circle A has a radius of 21 meters. circle B
has a radius of 28 meters.
A) Find the circumference of each circle in terms of pi.
Answer:
Circle A: 42π m
Circle B: 56 π m
Step-by-step explanation:
Base on the given:
Circle A has a radius of 21 meters.
Circle B has a radius of 28 meters.
To Find:
Find the circumference of each circle in terms of pi.
Note:
pi = 3.14 (About)
Formula:
C = 2πr
Solution:
Circle A:
2 × π × 28
21 × 2 = 42
Circle B:
2 × π × 28
28 × 2 = 56
Thus,
Circle A : 42 π m
Circle B : 56 π m
Kavinsky
John and Sam went to eat pizza. They each decided to order a
regular cheese pizza. John ate 8/16 of his pizza and Sam ate 2/4
of her pizza. Who ate most of their pizza?
Can someone solve this now please
3+(-0.8)+0.25+(-0.75)
By simplifying the expression we get
1.7
Which postulate proves these two
triangles are congruent?
B. SSA
A. HL
D. None, not congruent
C. ASA
i believe that it is choice: a.
i hope this helps
A train leaves from station A at 10:40.
It takes 3 hours and 5 minutes to reach station B.
What time does the train reach station B?
Answer:
it arrives at 1:45
Step-by-step explanation:
since it is 10:40, we will ad 3 hours, 11, 12, 1.
Then, we still have the 40, and will have to add the 5 minutes because of the 3 hours and 5 minutes.
Giving us, 1:45
Scott DuBois took out a simple interest loan of $1,800.00 for home repairs. The loan is for 12 months at 8 percent interest with a payment of $156.60. After 8 months, the balance is $615.87. He pays off the loan when the next payment is due. What is the final payment? How much is saved by paying the loan off early?
Answer: It's $619.98
2/5 + 1/3=
in its simpletes form
Answer:
[tex] \frac{2}{5} + \frac{1}{3} \\ = \frac{2 \times3 + 1 \times 5 }{15} \\ = \frac{6 + 5}{15} \\ = \frac{11}{15} [/tex]
it is right answer
will give brainliest to correct answer!!
Answer:
x = -5/6
Step-by-step explanation:
Since it is on the unit circle
x^2 + ( -sqrt(11)/6)^2 = 1 ^2 (pythagorean theorem)
x^2 = 1 - 11/36
x^2 = 25 /36
x = +-5/6 since x is in Q III it is the negative
I need help PLEASEEEEEEEEEEEEEE
Answer:
318
Step-by-step explanation:
318 is the required answer
I hope it helped you
So given Figure we need to find total surface area
=Area(ABCD)+Area(BCRQ)+Area(QRSP)+Area(ADSP)+Area(ABQP)+Area(DCRS)
=(AB×BC)+(BC×CR)+(QR×RS)+(AD×DS)+(AB×BQ)+(DC×CR)
From figure,
AB=DC=PQ=SR=9 cm
BQ=CR=AP=DS=11 cm
BC=AD=QR=SP=3 cm
On substituting these values We get
Surface Area=(9×3)+(3×11)+(9×3)+(11×3)+(9×11)+(9×11)
=27+33+27+33+99+99=318
I hope it helped you
Answer:
318
Step-by-step explanation:
A=2(wl+hl+hw)=2·(9·3+11·3+11·9)=318
HEELPPP HURRYYYY PLISSS
Answer:
Option C:- 1,232cm³
Step-by-step explanation:
radius r = 7 m
height h = 24 m
slant height s = 25 m
volume V = 1231.50432 m3
lateral surface area L = 549.778714 m2
base surface area B = 153.93804 m2
total surface area A = 703.716754 m2
Answer:
C 1232cm^3
Step-by-step explanation:
Hope this helps!
What is the surface area of this square pyramid?
o 72 cm2
o 384 cm
o 204 cm
o 240 cm2
Answer:
o 240 cm2
Step-by-step explanation:
A dance studio offers different-sized dance classes. The largest-group class cost $10 each, and the small-group class cost $15 each. Kiesha paid $110 for a total of 8 classes.
Step-by-step explanation:
keisha got the both of em 10 times 8 would be 80 and then she paid for 2 15 dollar ones
Round the underlined place 2.374
Answer:
The underlined place is not obvious, so I will do every possible round.
Step-by-step explanation:
2.374 rounded to the nearest hundredths will get you 2.37
2.37 rounded to the nearest tenths place is 2.4
2.4 rounded to the nearest 1 is 2
I need help with powers of ten
Use the regression calculator to compare the teams’ total home runs with their number of wins. a 2-column table with 9 rows. column 1 is labeled h r with entries 200, 158, 149, 146, 138, 137, 131, 116, 103. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. what is the average rate of change of the trend line? round to the nearest hundredth.
The average rate of change of the trend line is 0.39
How to determine the average rate of change of the trend line?The points are given as:
hr =>200, 158, 149, 146, 138, 137, 131, 116, 103.
w => 93, 94, 66, 81, 86, 75, 61, 69, 55.
Using a graphing calculator, we have the following calculation summary:
Sum of X = 1278Sum of Y = 680Mean X = 142Mean Y = 75.5556Sum of squares (SSX) = 6044Sum of products (SP) = 2355The average rate (m) is then calculated using:
m = SP/SSX
This gives
m = 2355/6044
Evaluate the quotient
m = 0.38964
Approximate
m = 0.39
Hence, the average rate of change of the trend line is 0.39
Read more about trend lines at:
https://brainly.com/question/2589459
Answer:
0.39
Step-by-step explanation:
The average monthly temperature in New Orleans, LA has a mean absolute deviation of 43.5*F what conclusion can you make about the average monthly temperatures in New Orleans, La.
The average monthly temperature in New Orleans, LA varies on average about 43.5°F from its monthly mean temperature.
How to find the mean absolute deviation of a discrete data?Suppose the data specified is of n sized as
[tex]x_1, x_2, \cdots , x_n[/tex]
Let this data's mean be [tex]\bar{x}[/tex]
Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.
It is calculated as:
[tex]M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}[/tex]
So, Mean Absolute deviation is the average of the deviation (not caring if its above or below the mean) of the data values.
Since it is given that:
Mean absolute deviation of the temperatures (monthly) in New Orleans = 43.5°F, therefore, it means, the temperature averagely varies 43.5°F from its monthly average value.
where mean shows the average monthly temperature in New Orleans, LA.
Thus, the average monthly temperature in New Orleans, LA varies on average about 43.5°F from its mean temperature.
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Jose plotted points on a coordinate plane to represent the vertices of a rectangle. The first two points are sown below. Which could be the other points Jose plotted? Which could be the other point Jose Plotted?
A C(6,5) and D(6,6)
B C(7,5) and D(7,1)
C C(5,8) and D(1.8)
D C(4,7) and D(4,3)
Please Someone Help Me With This Question
Answer:
B
Step-by-step explanation:
One easy way to solve this (considering it's on paper) would be to just plot the points of each option (because a rectangle is a quadrilateral which is equiangular (right angles) and a parallelogram).
Another way to solve this is the fact that it's angles are right angles. This means that a point has to be on the line y=5 and another point has to be on the line y=1. This means that the y coordinates of the other two points has to be 5 or 1, making the only possible answer B.
Help please!
Carl’s transactions for a year are given in the table. His broker charged him $5 per trade. How much does Carl pay his broker? What is the final return after paying his broker’s fees?
Carl’s total brokerage fees were ($5, $15, $50) for the year. His final return for the year was ($2950, $2985, $2995) after deducting all fees but before paying taxes on the return.
Answer:
$15 and $2,985
Step-by-step explanation:
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Five students plot their arm span and height
on the graph below.
Which of the following describes one
of these 5 students?
Answer:
She will save 1.24
Step-by-step explanation:
2.65 x 4 10 .60 plus .53 x 4 equals 12.72
6.48 x 2 equals 13.96
tell me if im wrong<3
Answer:
The correct answer would be D
Step-by-step explanation:
Most of the students have an average height around 166-180
and the arm span of 162-165
Student D has over the average 195 and an arm span of 188 so the correct answer would be D