Answer:
Step-by-step explanation:
Given that:
population mean = 150
Sample size = 10
Sample mean = 136
Standard deviation = 28
Significance level = 0.05
The null hypothesis:
[tex]H_o : \mu \ge 150[/tex]
The alternative hypothesis
[tex]H_a : \mu < 150[/tex]
This is a left-tailed test.
The t-test statistics can be computed as:
[tex]t = \dfrac{\overline x - \mu}{ \dfrac {s} {\sqrt{n}} }[/tex]
[tex]t = \dfrac{136 - 150}{ \dfrac {28} {\sqrt{150}} }[/tex]
t = -1.58
The P-value = P(t < -1.58)
Using the t tables
P-value = 0.0743
Decision rule: To reject the null hypothesis if the P-value is lesser than the level of significance.
Conclusion: We fail to reject the null hypothesis; since P-value is greater than (∝). Thus, there is sufficient evidence to support Fred's Claim.
No, we can not reject Fred's claim.
Solve the problem using long division
Answer and Step-by-step explanation:
[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]
1m -5
____________
[tex]m+2 |m^{2} - 3m - 7[/tex]
- m^2 + 2m
___________________
-5m - 7
- -5m - 10
___________________
3
(The negatives cancel out).
[tex]m - 5 + \frac{3}{m+2}[/tex] <- This is the answer.
#teamtrees #WAP (Water And Plant)
The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
PLS HELP!!!! WILL GIVE BRAINLIEST!!!!
Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for
(0,4)
(-3,0)
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?
Answer:
364
Step-by-step explanation:
265.72 ÷ 0.73 is 364
Check:
364 x 0.73
265.72
Can someone help me?
Answer:
with what
Step-by-step explanation:
dont see nothinfg
Answer:BD equals CE? Are lines parallel
Step-by-step explanation:
527856 \ 8
How do I solve this with long division to find my quotient?
Answer:
65,982
Step-by-step explanation:
Look at the attached image for the step by step solution
Bea is buying pens and pencils. Pens cost $2 and pencils cost $1. She plans on spending no more than $10 and wants to buy at least 10 items. Which two inequalities model this situation?
Well each pen costs $2 and each pencil costs $1.
One of the equations would be
2p + 1c ≤ 10
She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.
1c ≤ 10 c = 10
1(10) ≤ 10
10 ≤ 10
Now for the pens
2p ≤ 10
2. 2
P = 5
5 ≤ 10
Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.
the jet stream is a wind current that flows across the US from west to east. Flying with the jet stream, an airplane flew 2700 miles in 4.5 hours. Against the same wind, the return trip took 6 hours. Find the speed of the plane in stil air and the speed of the jet stream.
Answer:
The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.
Step-by-step explanation:
From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:
Flight with the jet stream
[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]
[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)
Flight against the jet stream
[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]
[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)
The solution of this system of linear equations is:
[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]
The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.
9/12 = 3/D O D = 6 O D = 4 O D = 5 O D - 10
Answer:
The answer would be D = 4 or option 2.
Step-by-step explanation:
9/12 = 3/?
First, you want to simplify 9/12
9/12 = 3/4
This shows you that D = 4
The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.
why an expression to represent a total area as a some of the areas of each room
Answer:
11 and 4
Step-by-step explanation:
triangle sum theorem
i will give brainliest
Answer:
The answer is b=128
Step-by-step explanation:
25+27=52
180-52=128
Answer:
∠A + ∠B + ∠C = 180°
⇒ 25° + 27° + ∠B= 180°
⇒ 52° + ∠B= 180°
Subtract both sides by 172°
⇒ 52° – 52° + ∠B = 180° – 52°
Therefore, ∠B = 128°
List all the factors.
48
Answer:
Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Answer:
1,2,3,4,6,8,12,16,24,48
Step-by-step explanation:
if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?
Could someone answer and explain. Will mark the brainliest
Answer: I think you’re right??
Step-by-step explanation:
Given the following formula, solve for v.
S=1/2a2v+c
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
Can someone help pls ASAP running out of time
Answer: The correct answer is A
Step-by-step explanation:
If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4
1/4 x 5/1 = 5/4
✩brainliest appreciated ✩
Tickets for an upcoming concert are sold out but a local charity is having a raffle and the prize is a pair of tickets to the concert. One hundred people enter the raffle, so each individual who entered has 1/100 probability of winning the pair of tickets. You and a friend both entered. What is the probability that one or the other of you wins the tickets
Answer:
[tex]P(A\ or\ B) = \frac{1}{50}[/tex]
Step-by-step explanation:
Represent the event that you win with A and the even that your friend win with B.
So, we have:
[tex]P(A) = \frac{1}{100}[/tex]
[tex]P(B) = \frac{1}{100}[/tex]
Required
Calculate P(A or B)
Both events are mutually exclusive.
So:
[tex]P(A\ or\ B) = P(A) + P(B)[/tex]
Substitute values for P(A) and P(B)
[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]
Take LCM
[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]
[tex]P(A\ or\ B) = \frac{2}{100}[/tex]
Simplify:
[tex]P(A\ or\ B) = \frac{1}{50}[/tex]
which expression is equivalent to (2m+3)+(m-1)?
A.5m
B.3m + 2
C.2m+2
D.3m-2
Answer:
i think the correct is D so 3m-2
Mia went to the art store and bought 2 poster boards and 3 markers. She spent A total of $6.50. The total tax was $1.25. How much did each marker cost? *
Simplify y ^2 over 6y^5.
Answer:
1/6y^3
Step-by-step explanation:
Answer:
1/6y^3
Step-by-step explanation:
cancel the common factor of y^2 and y^5
PLEASE HELP ASAP!!! awarding a lot of points!
Exact Form:
x=5/4
Decimal Form:
x=1.25
Mixed Number Form:
x= 1 1/4
The correct answer is,
[tex]x = \frac{5}{2} [/tex]
Can anyone help me pls
What’s the answer pls
Answer:
168.75 because u put a dot infront of 32 divide it by 54
45x - 18 factored i really need help
40 POINTS PLEASE HELP
Answer:
Step-by-step explanation:
Y = 10
C = 40
D = 76
Answer: Okay found the answer hope I am not too late
Step-by-step explanation:
Y is 10
C is 40
D is 76
Hope this helps!
hich expression is equivalent to -4(7 - 2m) + 11m?
Answer:
[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]
Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.
a sequence of payment made at equal time period is a/an'????
Answer:
Annuity.
Step-by-step explanation:
A sequence of payment made at equal time period is called an annuity.
Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Additionally, the time period between each payment is called payment period.
The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.
+
2
8
2
Least multiple that is the sam
Add using renamed fractions
Answer:
no
Step-by-step explanation:
Coupd someone help me with this? (picture)
Answer:
2x3 = 6
6x14 = ...
Step-by-step explanation:
All the solutions with a + in them are not applicable to this multiplication