Complete Question
In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->
It must be that the resulting P-value must be
A) Greater than 0.2
B) Between 0.19 and 0.10
C) Between 0.09 and .05
D) Between .049 and .02
E) Less than 0.02
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The mean of sample 1 is [tex]\= x_1 = 10[/tex]
The standard deviation is [tex]s_1 = 6[/tex]
The mean of sample two is [tex]\= x_2 = 16[/tex]
The standard deviation is [tex]s_2= 4[/tex]
The sample size for both samples is [tex]n_1 = n_2 = n = 6[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]
=> [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]
=> [tex]z = -1.3646[/tex]
From the z table the area under the normal curve to the left corresponding to -1.3646 is
[tex]P(Z < -1.3646) = 0.086189[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -1.3646)[/tex]
=> [tex]p-value = 0.086189 * 2[/tex]
=> [tex]p-value = 0.1724[/tex]
So the p-value is Between 0.19 and 0.10
please help
Your mom gives you $30 to buy some books. Write the money you have left as a function of the cost of books. Let
b represent the cost of books, and s represent the money you have left.
Answer:
D
Step-by-step explanation:
because b - 30 = s your buying something and subtacting from the money you had before
The population of fish in a pond in relation to the number of years since stocking is depicted on a graph. For the first few years after the pond is stocked, the population grows slowly. It increases more quickly as the fish reproduce, then it levels off. A pollutant kills off almost all of the fish 20 years after stocking. The population begins to grow again when the remaining fish reproduce. Which graph depicts the situation described above?
Answer:
Graph a
Step-by-step explanation:
the slope is proportional to the data
Graph A depicts the situation described above. Thus, option A is correct.
What is a graph?The link across lines as well as points is described by a graph, which is a mathematical description of a connection. A graph is made up of certain points and connecting lines. It doesn't matter how long the lines are or where the terminals are located.
The population of fish in a pond grows slowly for the first few years after it is stocked, then levels off. A pollutant kills off almost all of the fish 20 years after stocking, then the population begins to grow again when the remaining fish reproduce which is represented in graph A.
If every pair of datasets is connected in the same fashion, by multiplying by a factor, then the connection is proportional. The slope of a line is the slope of the regression. Like the ratio constant, this slope shows how rapidly a quantity is rising or falling.
Therefore, option A is the correct option.
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Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10
Answer:
x=-2
Step-by-step explanation:
Find the 61st term of -12, -28, -44,
Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below.
Answer:
Step-by-step explanation:
Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]
1). Probability of getting the red crewmate,
[tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]
Probability of getting a chef hat,
[tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]
Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{2}\times \frac{1}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
2). Probability of getting blue crewmate,
[tex]P_1=\frac{2}{6}[/tex]
[tex]=\frac{1}{3}[/tex]
Probability of getting an egg hat,
[tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]
Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{3}\times \frac{1}{4}[/tex]
= [tex]\frac{1}{12}[/tex]
3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]
Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]
Probability of getting a green crewmate and banana hat
= [tex]\frac{1}{6}\times \frac{3}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
Which step is incorrect and what is the correct answer?
Answer:
Step 4, x = 3
Step-by-step explanation:
Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:
6x = 18
x = 3
Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
Answer:
It's A
Step-by-step explanation:
the one above me is incorrect it's "A"
Answer:
A
Step-by-step explanation:
hi
Max bought a new pair of basketball shoes that were on sale for 25% off. If the regular price of the shoes was $75.95, what is the amount of discount?
what is the quotient of 3 divided 1/6
Answer:
To find the quotient of 3 divided by 1/6 you must multiply by the reciprocal of the fraction, in this case it is 6.
So you would rewrite it as,
3*6=18
So your answer is multiply 3 by 6.
P.S * represents multiplication.
Step-by-step explanation:
Georgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment
Write the formula to calculate the area of a triangle whose sides are unequal in length
Answer:
√S(S-A)(S-B)(S-C)
Step-by-step explanation:
S=(A+B+C)\2
where S= semi-perimeter
A,B and C are unequal length of triangle.
Answer:
the formula to calculate the area of a triangle whose sides are unequal in length is A=hb b/2
I need this done quick pls.
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.
A baseball weighs 25.75 ounces less than a bat. Write an equation the represents the relationship between the weight of a baseball and a bat in terms of the weight of the box,w.
Answer:
Step-by-step explanation:
So if a baseball weighs 25.75 ounces less than the bat and it says what is the relationship between the ball and the bat so if the baseball weighs less than the bat then that would be 25.75<B=W I believe
Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, not simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.
Answer:
Hello your question has some missing parts below is the missing part
A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute
answer :
dr/dt depends on r^2 not simply rStep-by-step explanation:
The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;
dr/dt depends on r^2 not simply rand this is because dr/dt is proportional to 1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant
Use the coordinate grid to determine the coordinates of point A:
What are the coordinates of point A?
A ( fraction negative 1 and 1 over 4, fraction 3 over 4)
B ( fraction 1 and 1 over 4, fraction negative 3 over 4)
C( fraction negative 3 over 4, fraction 1 and 1 over 4)
D( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answer:
A. (fraction negative 1 and 1 over 4, fraction 3 over 4)
Step-by-step explanation:
Coordinates of point A cam be represented as (x, y). That is where point A cam be traced from the x-axis is the value of x, while the y-value is the point we can trace from the y-axis side ways to point A.
So, Point A from the x-axis, we have x = -1¼, and from the y-axis, we have y = 3/4.
Coordinates of point A cam be written as:
(-1¼, ¾).
PLZ HELP ME AND I WILL MARK BRAINLIEST!!!
Answer:
-315 + 100 & -230 + 15
Step-by-step explanation:
How to multiply Decimals by power of 10?
Answer:
maybe this well help
Step-by-step explanation:
When you multiply a decimal by a power of 10, simply move the decimal place to the right as many places as there are 0s in the power of 10. When you divide a decimal by a power of 10, simply move the decimal place to the left as many places as there are 0s in the power of 10.
Answer:
You can convert the power of 10 to a decimal and multiply it by 0.502, or you can move the decimal place of 0.502 to the left depending on the value of the exponent:
0.502 x 10^2=0.00502 → 10^2 is equal to 100. So, 0.502 x 100=0.00502 OR 10 is raised to a power of 2, so move the decimal place 2 times to get 0.00502.
0.502 x 10^3=0.000502 → 10^3 is equal to 1000. So, 0.502 x 1000=0.000502 OR 10 is raised to a power of 3, so move the decimal place 3 times to get 0.000502.
Hope you understand and that this helps with your question! :)
Find XY and YZ. X:-14, Y:-4.1, Z:17.3
Follow:
X:Y
Y:Z
-14 : -4.1
-4.1 : 17.3
so XY= ( 57.4)
YZ= (-70.93)
Find the difference.
Need help fast!
Answer:
D
Step-by-step explanation:
18 - 3 = 15
-4x+5y-3-11x-y
Does -3 have a like term?
Answer:
nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎
Helpppppppppppppppppppppp ASAP
9514 1404 393
Answer:
B. G(x) = (x -0.5)³ -(x -0.5)
Step-by-step explanation:
The desired equation can be found by translating the function left one unit. That is accomplished by replacing x with x+1. Then you have ...
G(x) = ((x +1) -1.5)³ -((x +1) -1.5)
G(x) = (x -0.5)³ -(x -0.5) . . . . . . . . matches choice B
9(2n+1) =
can someone help me, please
Answer:
9(2n + 1) = 18n + 9Step-by-step explanation:
9(2n + 1)
use the distributive property a(b + c) = ab + ac
= (9)(2n) + (9)(1) = 18n + 9
Step-by-step explanation:
9(2n+1) =0
18n+9 = 0
18n = -9
n = -9/18
n = -1/2
If a turkey takes two hours and forty-five minutes to cook, and you place it in at 3:30, what time will it be ready.
Answer:
If a turkey takes two hours and forty-five minutes to cook, and you place it in at 3:30. It will be done at 6:15
Answer:
It will be ready at 6:15
Step-by-step explanation:
So you've got 2:45 for it to cook and it's been placed at 3:30. You can put it simply like:
2:45+3:30=x
x would represent the unknown time, all you need to do is add.
It's 5:75, but an hour only goes to 60 minutes and you've gone to 75.
You have to subtract 60 from the minute marker and add an hour:
5:75
-60
6:15
Jenny had 56 candles. She sold 2/7 of them and then split it evenly among her and her sister. How many candles did each sister get?
Find the first four terms of the arithmetic sequence
where a1 = 2 and d = 5 (use formula)
Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
First term = 2
Common difference = 5
First term = 2
Second term = 2 + 5 = 7
Third term = 7 + 5 = 12
Third term = 12 + 5 = 17
Thus,
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
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Find the numerical value of the expression if x = 4.
(6x-7)/(3x)
Answer:
1.416 repeating
Step-by-step explanation:
6 x 4 = 24, then do 24 - 7 = 17, then do 3 x 4 = 12, then divide 17 and 12 to get 1.416 repeating
Select the correct answer.
The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been
made to the account, which statement describes the account's growth?
Year 1- $1,200.00
Year 2- $1,260.00
Year 3- $1,323.00
Year 4- $1,389.15
A.
The account is growing exponentially at an annual interest rate of 10.25%.
B.
The account is growing linearly at an annual interest rate of 5.00%
C.
The account is growing exponentially at an annual interest rate of 5.00%.
D.
The account is growing linearly at an annual interest rate of 10.25%.
E.
The account is growing exponentially at an annual interest rate of 15.76%.
Does anyone happen to understand this? I don’t get it?
Answer: 2 aka B
Step-by-step explanation: the answers B :)
–5(–2) =
please help :) :D
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer:
-7
Step-by-step explanation:
-5(-2)
-5-2
-7
..........
A store has two different brands of laundry
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Answer:
Is there supposed to be a pic?
Step-by-step explanation:
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation: