Answer:
a. H0: u ≠33 against Ha : u= 33
b. Z= x`- u / s/ √n, z= 1.85
c. The P-Value is 0.071075.
The result is not significant at p < .05.
d. Option A is correct.
A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Step-by-step explanation:
Part a:
The null and alternate hypotheses are
H0: u ≠33 That is the mean age of actresses when they win an acting award is not equal to 33 years.
against the claim
Ha : u= 33 That is the mean age of actresses when they win an acting award is 33 years.
The central limit theorem allows us to assume that the sampling distribution of x` is approximately normal with the mean u and a standard deviation S/ √n.
Part b.
The test statistic would be
Z= x`- u / s/ √n
So we have
n= 77 , x= 35.4, s= 11.7
Z= 35.4- 33/ 11.7/√77
z= 2.4/1.333
z= 1.805
Now z α/2 = ± 1.96 for two tailed test.
Part d.
The rejection region will be
z< - z ∝/2 and z > z ∝/2
1.805 < 1.96
Since the calculated value of z lies in the rejection region we fail to reject H0 and conclude there is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Part c.
The p- value is the probabilities between which the value of test statistic lies.
Using the calculator
The P-Value is 0.071075.
The result is not significant at p < .05
-10(1 - 9x) + 6(x - 10)
Combining like terms
What is the solution to the inequality below
Answer:
x² ≤ 16
x²-16 ≤ 0
x²-4²≤0
(x-4)(x+4) ≤ 0
-4 ≤ x ≤ 4
B. is the right answer.
solving system equations
y=5
x=-2y+56
B(t)=100•2^t/10 how many minutes will it take for the culture to achieve 10,000 bacteria? Round answer to nearest hundredth
Answer:
66.44
Step-by-step explanation:
66.44 minutes will it take for the culture to achieve 10,000 bacteria.
What is logarithm?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x
Given
B(t)=[tex]100.2^{\frac{t}{10} }[/tex] = 10000
[tex]2^{\frac{t}{10} } = 100\\t = 100\frac{ln 10}{ln 2} = 66.44[/tex]
To know more about logarithm refer to :
https://brainly.com/question/2411204
#SPJ2
y=3x+5
y=4x+8
Find X
Answer:
The value of x is -3.
Step-by-step explanation:
It is given that:
y=3x+5 Eqn 1
y=4x+8 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
4x + 8 = 3x + 5
4x - 3x = 5 - 8
x = -3
Therefore,
The value of x is -3.
If x= 25 and y= 54. What is the constant of proportionality?
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Answer:
2.16
Step-by-step explanation:
The constant of proportionality is the ratio of y to x:
k = 54/25 = 2.16
The constant of proportionality is 2.16.
help pls will give you brandy
Answer:
9+2=7-4+3
9-4=5+2=7
4-9=5+2=7
4-9+5+2=7
Step-by-step explanation:
Your welcome bro
Answer:
1. A
2. C
3. B
4. B
5. A
Step-by-step explanation:
I hope this helps might be wrong if they are just delete my answer.
What is the equation in the standard form of a parabola with a vertex of (4,2) that passes through (2, 14)?
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Answer:
y = 3x^2 -24x +50
Step-by-step explanation:
The vertex form is ...
y = a(x -4)^2 +2
where 'a' is chosen to make the curve pass through the given point.
14 = a(2 -4)^2 +2 . . . . substitute the given point
14 = 4a +2 . . . simplify
12 = 4a . . . . . subtract 2
3 = a . . . . . . . divide by 4
Then the standard form is the expansion of the vertex form:
y = 3(x -4)^2 +2 = 3(x^2 -8x +16) +2
y = 3x^2 -24x +50
in the following census population density dataset, what are the first, second, third quartiles? 1,19,35,43,49,55,56,56,63,67,94,105,110,168,175,181,212,231,239,351,461,595,738,839,9857
a in the solution to the system of equations below?
a=38 +7
4a +9 = 70
Answer:
A=45
15.25
Step-by-step explanation:
Please help!!! I need someone to use some brain power
Answer:
r = 4, s = 3, t = 5Step-by-step explanation:
Solving quadratic equation:
5x² - 8x + 5 = 0x = (-b ± √b²-4ac)/2ax = (8 ± √8²-4*5*5)/2*5x = (8 ± √64-100)/10x = (8 ±√-36)/10x = (8 ± 6i)/10x = (4 ± 3i)/5x = (r ± si)/t
r = 4, s = 3, t = 5
What is the equation of the line in slope-intercept form?
Answer:
y=9x
Step-by-step explanation:
What is the volume of the cone?
21 cm
16 cm
17 cm
12 cm
A 201.1 cm3
B. 603.2 cm
0
C. 640.9 cm3
D. 791.7 cm
Answer:
C
Step-by-step explanation:
There are 5 times as many females as males on the maths course at university. What fraction
of the course are male?
Give your answer in its simplest form
Answer:
Step-by-step explanation:
Let number of male = x
number of female = y
then according to given condition , we get ,
y =5*x
please
Brain-list it or support me at my U-Tube channel " ZK SOFT&GAMING " I will be thankful
Answer:
1/6
Step-by-step explanation:
Males = 1
Females = 5
Ration: 1:5
Male fraction = 1/6
You and three friends are going to the fair. The cost for
parking is $5 per car and admission to the fair is $19 per person. If you have
a total of $113, how much can each person spend on food?
Answer:
$17 on food per person
Step-by-step explanation:
The cost of parking a car is $5
Assuming that the friends used one car, then the parking cost=$5
Admission cost is 19
For three people, Admission cost =19*3=57
TOTAl COSTS=Parking cost+Admission cost
TOTAl COSTS=57+5=62
Remaining amount can be used for food
FOOD= 113-62=51
Therefore each person can spend 51/3=$17 on food
I hope this was helpful and clear to follow
Answer:
$8
Step-by-step explanation:
19 x 4 + 5 + c =113
81 + c =113
-81 -81
c =32
32 divided by 4 ppl = 8
i will mark you as brainliest if you answer this correctly!
Answer:
1/32 yd
Step-by-step explanation
If chicken and a half lays an egg in a half in a day and a half, how many eggs would 3 chickens lay in 3 days?
Answer:
3 and a half
Step-by-step explanation:
Since it is half in a day they will lay 3 eggs and an egg will be in the process of coming
Worth a lot of points
Answer: guy Belows right
Step-by-step explanation:
Rewrite 6/4as a percent
Answer: 150%
Step-by-step explanation:
6/4 is the same as 3/2 or 1¹/₂
Change to a decimal by dividing the denominator into the numerator
3/2 = 1.5
Then multiply by 100 to change from a decimal to a percent.
1.5 × 100 = 150 Add the % sign
150%
Answer:
A teacher had 20 ounces of water in der
water bottle. She drank of the water.
How many ounces did she drink?
Answer:
the question is wrong
i cant answer it sorry
What is the Mean and Mode of the numbers: 6, 15, 15, 13, 14, 12, 9*
Plzz i need the answer fast
Answer:
Mean: 12 Mode: 15
Step-by-step explanation:
Mean: 6+15+15+13+14+12+9=84/7=12 The mean is all of the numbers added together and then divided by how many number there are
Mode: 6, 9, 12, 13, 14, 15, 15. The mode is the number that appears most often.
HELP ME PLEASE HELP HELP HELP WALLAHI HELP
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Answer:
48
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse (longest side) is the sum of the squares of the other two sides. Let x represent the unknown side.
73² = x² +55²
5329 = x² +3025 . . . evaluate the squares
2304 = x² . . . . . . . . . subtract 3025 from both sides
48 = x . . . . . . . . . . . . take the square root of both sides
The exact length of the third side is 48.
HELP ASAP PLZ HELPPPP
Answer:
The angle ACX equals 51 degrees. The angle ACB equals 129 degrees.
Step-by-step explanation:
21 + 30 + y = 180
y = 129
129 + x =180
x = 51
Plz can anyone help me?
Answer:
400x
Step-by-step explanation:
as shown in the graph from points such as (1, 400) or (2,800) the person is traveling 400 per day
Joel has a bag with 128 pieces of candy in it He gives his sister 25% of the candy how many peices of candy does joel give his sister
Answer:
32
Step-by-step explanation:
PLEASE HELP ME ASAP I REALLY NEED HELP OR IM GONNA FLUNK
Answer:
Angle A = 51 degrees
Step-by-step explanation:
PLEASE HELP!! URGENT!!!
If the expression below is written in
the form ax2 + bx + c and a, b, and
care constants. What is the value
of a + b + c?
(3x2 – 2x + 5) – (-2x2 – 2x + 2)
Im not sure the answer
Step-by-step explanation:
sorry tho
which graph is it?
[tex]g(x) = |x + 3| [/tex]
Hello, I have been needing help for this problem for awhile. Can someone help me please?
Answer:
x = 6
Step-by-step explanation:
[tex]x = \sqrt{10 {}^{2} - 8 {}^{2} } [/tex]
[tex]x = \sqrt{100 - 64} [/tex]
[tex]x = \sqrt{36} [/tex]
[tex]x = 6[/tex]
How to turn 11 over 25 to a percet
Answer:
44%
Step-by-step explanation:
11 = x
25 100
'percent' means out of 100
25 x 4 = 100
11 x 4 = 44