Answer:
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
Step-by-step explanation:
The data given is
Population mean μ= $ 7.18
Population variance= σ²= 3.81
Population Standard Deviation = √σ²= √3.81= 1.952
Sample Mean= x`= $ 8.02
Sample Standard Deviation =s = $ 2.08
Sample Size = 15
Significance Level = ∝= 0.05
The null and alternate hypotheses are
H0: σ1=σ2 against the claim that Ha: σ1≠ σ2
where σ1 is the population variance and
σ2 is the sample variance
The rejection region is Z ≥ ±1.96 for two tailed test at ∝= 0.05
The test statistic z is used
z= x`- μ/ σ/√n
Putting the values
Z= 8.02-7.18/1.952/√15
z= 0.84/0.51599
z= 1.6279
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
VERY URGENT PLEASE HELP!!!!
Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?
Answer:
720 I think not sure if im right
Answer: 720 pennies
Step-by-step explanation:
1/2 = 3/6 and 2/3 = 4/6
So the 120 pennies she added was 1/6 of the total size
6 x 120 = 720
Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?
Answer:
D
Step-by-step explanation:
What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?
Answer:
2200 cubic cm
Step-by-step explanation:
The volume of a rectangular prism is found using the formula:
V = l*w*h
V = 10 cm * 20 cm * 11 cm
V = 2200 cubic cm
Answer: 2200
Step-by-step explanation:
. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *
Answer:
50.965.01
Step-by-step explanation:
Kayla was cutting right triangles from wood to use for an art project. Two of the right triangles she cut are shown below
Answer:
The answer is "[tex]28^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete question in the file.
The angle F measure is identical to the angle C measure.
The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.
[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]
Work out
4 3/5 - 2 2/5
Give your answer as a mixed number in its simplest form.
Answer:
2 1/5
Step-by-step explanation:
4 3/5 - 2 2/5
I like to make them vertical
4 3/5
- 2 2/5
-----------------
2 1/5
Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))
Working with the right side,
(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))
multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives
(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))
… = (1 + sin(θ))^2 / cos^2(θ)
and
(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))
… = (1 - sin(θ))^2 / cos^2(θ)
Now combine the fractions, expand the numerator, and simplify:
(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)
… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)
… = 4 sin(θ) / cos^2(θ)
… = 4 • sin(θ)/cos(θ) • 1/cos(θ)
… = 4 tan(θ) sec(θ)
5 fractions with denominator of 1 between 0 and 1/14
Answer:
Are there options to choose from?
Step-by-step explanation:
If the ratio football players two basketball players at your school is 7:5 then how many basketball players are there if they are 21 football players
Answer:
I think that there are 15 basketball players.
Step-by-step explanation:
If there is a ratio of football to basketball players of 7:5, and there are 21 football players. i just divide 21 by 7 and get 3. so if we multiply the 5 in the ratio by 3 we get 15. so I think the answer is 15. if not then ignore my answer. if so the brainliest please?
According to the multiplication table, what is
the product of the polynomials?
Select the correct answer.
What is the value of this expression if h = 8, j = -1, and k
= -12?
А. 3
B
12
C.
36
D
-12
PLEASE HELP ME
Answer:
the answer is B so it's 12
Find the circumference of a circle with diameter 2 cm. Use 3.14 for
Answer:
6.28 cm
Step-by-step explanation:
Given,
Diameter = 2 cm
pi = 3.14
To find : Circumference ( circle ) = ?
Radius ( r )
= Diameter / 2
= 2 / 2
= 1 cm
Formula : -
Circumference ( circle ) = 2 pi r
2 pi 4
= 2 × 3.14 × 1
= 6.28 cm
Answer:
6.28
Step-by-step explanation:
radius= diameter/2
r=2/2=1
circumference formula=2[tex]\pi[/tex]r
[tex]\pi[/tex]=22/7 or 3.14
So,
2[tex]\pi[/tex]r= 2*3.14*1= 6.28
7x1,000,000,000-5.8x1,000,000,000
Answer:
1200000000
Step-by-step explanation:
How many times greater is the value of 5 in 532,874 than the value of 451,073?
Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
Hey all! Adobe here. I think that we should talk about After Effects 2021 and After Effects CC 2021. With BRAND NEW FEATURES, (And updates too). Don't miss out on the Spring Fling 2021 event with savings as $300. So why not get over to Adobe . Com today and get After Effects 2021 or After Effects CC 2021!
Mr. Litterski creates a ball from rubber bands.
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
[tex]A = 4\pi r[/tex]
In which r is the radius.
Volume:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The circumference of the ball is 9.4 inches.
So the radius is:
[tex]6.2832r = 9.4[/tex]
[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]
Surface area
[tex]A = 4\pi(1.53)^2 = 29.3[/tex]
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
Please help look at picture and solve for x I’ll mark u as brainliest and no links
Answer:
A x=18
Step-by-step explanation:
classify the triangle by its sides and by measuring of its angles
what is 6 divided by 10 to the second power
Answer:
j
Step-by-step explanation:
h
can someone please answer this I need extreme help.
Answer:
hope this will help you more
Helppp me quick !!!!!!!!!!!!!!!!!!
Answer:
Look at explanation
Step-by-step explanation:
For a) It is TRUE
For b) it is TRUE
For c) it is FALSE
Hope this helps!! :)
Answer:
okay, the answer to this question is listed below;
for a it says that half pupils choose maths.
And as you can see the results in the circle that it is true.
for the question c it says most pupils choose science that PE, as you can see the the circle that PE is a little more than science, so this Answer is false
No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68
Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
To know more about standard error here
https://brainly.com/question/13179711
#SPJ2
After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink
Answer:
Step-by-step explanation:
The possibility is 48/200
The probability of people preferred the new soft drink is 6/25.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Total number of people taste test=200
Number of people who participated new soft drink=48
Number of people who participated old soft drink=112
Number of people who participated could not tell any difference=40
So, the probability of people preferred the new soft drink=
favorable outcome/total number of outcome
probability of people preferred the new soft drink=48/200
probability of people preferred the new soft drink=6/25
So, the probability of people preferred the new soft drink is 6/25.
Learn more about probability here:
https://brainly.com/question/23471143
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of you would Write a decimal that represents the value of one $1 bill and 5 quarters how would you write that?
please answer ill give you brialiest
Answer: can you please list the choices that are in the drop down box
Step-by-step explanation:
Answer:
The shortcut would be 53 yards
Step-by-step explanation:
Because trigonometry
Complementary and supplementary angles
Here’s the next problem:)
Answer:
disagree
Step-by-step explanation:
toa=opposit over adjacent= 12/9
tan(x)=12/9
tan^-1=12/9
x= 53.1
Answer:
Disagree
Step-by-step explanation:
x actually equals 53.13
[2x(3+5)+6]x4 what is the value of this expression
Answer:
16x5+6x4
Step-by-step explanation:
(2x(3+5)+6)(x4)
=(2x(3+5)+6)(x4)
=(2x(3+5))(x4)+(6)(x4)
=16x5+6x4
Answer:
88
Step-by-step explanation:
to solve these kind of questions use BODMAS
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.
Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
In which quadrant would you find the point 4 and 8
Answer:
Quadrant 1
Step-by-step explanation: