Answer:
a.) one sample t test
b.) H0 : μ = 59.3
c.) H1 : μ > 59.3
d.) μ = 59.3 ; σ = 39.84
e.) xbar = 79.4 ; s = 61.36
Test statistic = 3.16
Step-by-step explanation:
Given the sample data:
49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00
Sample size, n = 30
Using calculator :
xbar from the data above = 79.4
Standard deviation = 61.359
H0 : μ = 59.3
H1 : μ > 59.3
Test statistic :
(Xbar - μ) ÷ (σ/sqrt(n)
σ = 34.83
(79.4 - 59.3) ÷ (34.83/sqrt(30))
20.1 ÷ 6.359
Test statistic = 3.16
Which of these situations can be modeled by an exponential function?
A) The declining population of a city if 100 people move away every year.
B) A herd of lions whose numbers triple every decade.
C) The amount of money Grant has saved up if he makes $18.50 an hour.
D) Total distance if we drive 75mph for x hours.
Answer:
B) A herd of lions whose numbers triple every decade.
Step-by-step explanation:
Situations that can be modeled by exponential functions:
A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.
In this question:
In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.
Please help........................
Answer:
I think it is 2 one
Step-by-step explanation:
A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?
A. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
B. There is insufficient evidence to suggest that the tollbooths are used in equal proportions.
C. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.
D. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.
E. The tollbooths are used in equal proportions.
Answer:
C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
Step-by-step explanation:
First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.
From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:
Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis ([tex]H_0[/tex]). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.
The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
How to explain the significance level?In this question, we simply have to deduce a conclusion from the chi-square test information that was given.
In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.
This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.
Learn more about significance level on:
https://brainly.com/question/4599596
A farm stand wants to sell fruit to local grocery stores in packages with
baskets of apples, worth $10 apiece, and baskets of peaches, worth $13
apiece. The owner wants each package to include 50 baskets total, and he
wants to sell each package for $566. How many baskets of apples and how
many baskets of peaches should he put in each package?
A. 10 apples, 13 peaches
B. 13 apples, 10 peaches
C. 28 apples, 22 peaches
D. 22 apples, 28 peaches
Answer:
28 apples and 22 peaches
Step-by-step explanation:
<3
In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?
Answer:
32 homes
Step-by-step explanation:
To get the amount of homes with a pool, simply do
HOMES * 0.40
So 80x0.4 = 32 homes with a pool
please help me out, i’ve asked earlier but no one helped
Answer: 147
Step-by-step explanation: you just have to replace n in the equation to 30 giving you:
-3+50(30)
Now solve
-3+150=147
Answer:
[tex]\rm T_{30}= 147 [/tex]
Step-by-step explanation:
Given :-
The nth term of a sequence is -3+5n .And we need to find out the 30th term of the sequence . For that simply substitute n = 30 in the given expression to find out the 30th term .
The nth term :-
[tex]\rm\implies n = 30[/tex]
The sequence :-
[tex]\rm\implies T_n = 5n - 3 [/tex]
On substituting :-
[tex]\rm\implies T_{30}= 5*30-3 \\\\\implies\rm T_{30}= 150 - 3 \\\\\implies\boxed{\rm T_{30}= 147 }[/tex]
Hence the 30 th term is 147 .
Rewrite the following phrase as a mathematical expression: twice a number increased by eighteen. 18 n + 2 2n + 18 2 + 18 O2/18 1) NEXT QUESTION 2 ASK FOR HELP
Answer:
2(n+18)
18(2+n)
2•(18•n)
I hope this helps
An initial population of 535 quail increases at an annual rate of 25%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
Answer: c
Step-by-step explanation:
A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and 1996) and 60% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 Millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay off their credit cards each month is greater than this proportion for Millennials
Answer:
We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians
Step-by-step explanation:
Sample proportion 1: Born between 1980 and 1996
sample size n₁ = 450
p₁ = 0,48 p₁ = 48 %
x₁ = 0,48 * 450 x₁ = 216
Sample proportion 2: Born between 1965 and 1971
sample size n₂ = 300
p₂ = 0,60 p₂ = 60%
x₂ = 0,6* 300 x₂ = 180
Test Hypothesis:
Null Hypothesis H₀ p₂ = p₁
Alternative Hypothesis H p₂ > p₁
Samples both big enough to use the normal distribution as an approximation to the binomial distribution.
We assume CI = 95 % then significance level α = 5 % the alternative hypothesis tells us that we need to develop a one-tail test to the right.
z-score is z(c) for α = 0,05 from z-table z(c) = 1,64
To calculate z(s)
z(s) = ( p₂ - p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)
p₂ - p₁ = 0,60 - 0,48
p₂ - p₁ = 0,12
p = ( x₁ + x₂ ) / n₁ + n₂
p = ( 216 + 300) / 450 + 300
p = 516 / 750 p = 0,688 then q = 1 - p q = 0,312
z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)
z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)
z(s) = 0,12 / √ 0,001192
z(s) = 0,12/ 0,03452
z(s) = 3,47
Comparing |z(c)| and |z(s)|
z(s) > z(c)
Then z(s) is in the rejection region. We reject H₀.
We can support the claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians
What is the distance between the points (5,7) and (3, 4) on the coordinate
plane?
A. 12.04 units
B. 7.28 units
C. 3.61 units
D. 8.54 units
Answer:
C) 3.61 units
Step-by-step explanation:
5 - 3 = 2
7 - 4 = 3
distance² = 2² + 3³ = 4 + 9 = 13
distance = √13 = 3.61
Plz guys help me please
Answer:
G(-4,2), H(-3,-4), J(-1,1)
Step-by-step explanation:
The x-values would all become negative.
G(-4,2), H(-3,-4), J(-1,1)
find area and perimeter. plz help very important
Answer:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
Step-by-step explanation:
answer choices
A Function 1
B Function 2
C The Functions have the same Y-intercept
Answer:
I would say A
Step-by-step explanation:
Have a great day hope this helped!
At the bottom it says or no and it wants me to explain
Answer:
You 22/20=1.1
your friend 18/15=1.2
anyone want to help me?
no but seriously I need to finish this right now
picking more than two fruits
There are
13
students in a class of
30
who play rugby.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place.
PLSSS SOMEONE HELP
Answer:
i think it might be 0.43
Step-by-step explanation:
Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!
have a nice day
Answer:
43.3% of the students play rugby.
Step-by-step explanation:
13/30 = 0.43333
0.43333*100 = 43.33%
Have a nice day!
and can I maybe have brainliest? Thanks!
Can you guys help me with this, please?
Answer:
G) y ≥ 1
Step-by-step explanation:
Range is all the y-values seen on the graph.
Since it starts at (0, 1), the lines just keep increasing so:
y ≥ 1
Alex was making pumpkin soup that called for 3 and 4/5 cups of pumpkin. If Alex makes 2 batches of soup how many cups of pumpkin will he need?
Answer:
7 and 3/5
Step-by-step explanation:
3 and 4/5 times 2 is 7 and 3/5
what is 1/2 x 1/2 x 1/2 x 1/2
Answer:
0.0625
Step-by-step explanation:
Hope this helps :)
Have a nice day <3
Answer:
1/16
Step-by-step explanation:
Just multiply all numerators and all denominators: 1x1x1x1/2x2x2x2. That gives you your total of 1/16.
Help me who here is a master at math I need your help !!
Answer:
88.4ft²
Step-by-step explanation:
oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:
So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:
10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)
So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):
6 x 5.2 ÷ 2 = 15.6
So the area is 15.6ft
Now let's do the triangles under the trapezoid:
So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:
18 - 6 = 12
and we're going to assume that both the triangles are equal:
12 ÷ 2 = 6
6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them
15.6 x 2 = 31.2
So the area of the triangles under the trapezoid is 31.2ft
Now, the trapezoid:
so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:
4 + 12 = 16
16 x 5.2 = 83.2
83.2 ÷ 2 = 41.6
So the trapezoid is 41.6ft
Now we add all of our disgustingness together:
15.6 + 31.2 + 41.6 = 88.4
So, the area of the entire garden is 88.4ft²
hope this helps:)
Which of the following is equivalent to the expression?
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
arrange the following whole numbers in increasing and decreasing order
Answer:
Increasing Order:
34, 71, 269, 976, 16759, 49753, 796542
Decreasing Order:
796542, 49753, 16759, 976, 269, 71, 34
what is the equation for 14 more than 5 times more the number is 39
Answer:
14 + 5x = 39
Step-by-step explanation:
first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).
Can someone please help me I will mark u brilliant
Answer:
1 cubic inch
Step-by-step explanation:
For rectangular prism:
[tex]l = 4 \times \frac{1}{2} = 2 \: in \\ \\ w= \frac{1}{2} \: in \\ \\ h = 2 \times \frac{1}{2} = 1 \: in \\ \\ volume \: of \: prism = lbh \\ = 2 \times \frac{1}{2} \times 1 \\ = 1 \: {in}^{3} [/tex]
Answer: The volume is 1 cubic inch.
Step-by-step explanation:
Volume of 1 cube
V= l*w*h
V= 1/2*1/2*1/2
V= 1/8 or 0.125
Volume of Prism
8*1/8= 1
What is happening at A?
Answer:
the last one
i need help with a maths question please answer only if you know and not links
Answer:
x³/4z²
Step-by-step explanation:
Invert and multiply:
48x^5y²/12z^5 x z³/16x²y²=
(48x^5y²)(z³)/(16x²y²)(12z^5)
the y² cancel out
48÷16=3 (on top)
x^5÷x²=x³
12z^5/z³=z²(on bottom)
This leaves a 3x³ on top and 12z² on the bottom. 3÷12=4 (on bottom):
3x³/12z²
x³/4z²
Please help I’ll mark you as brainliest if correct
Answer:
I think it is 75
Step-by-step explanation:
because you divide 45 by 3 to get 15 then 15 x 5 is 75:)
1
Find the value of x in the figure below, round answer to the nearest tenth.
38
64°
х
9514 1404 393
Answer:
86.7
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(64°) = 38/x
x = 38/cos(64°) ≈ 86.685
The value of x is about 86.7.
Brian, Pip and Sara share some sweets in the ratio 4:5:1. Brian gets 42 more sweets than Sara.
How many sweets does Pip get?
80
Answer:
i got 70
Step-by-step explanation:
Brain 4 Brain gets 42 more sweets Sara
Pip 5 How many sweets does Pip get?
Sara 1
when b = s + 42 find p b = 4s p = 5s
4s = s + 42 b/4 = s p = 5b/4
3s = 42
s = 14 b = 56 p = 70
I initially found the answer by trail and error, then I could figure out the equation.
s b p
1 4 5
10 40 50
16 64 90
14 56 70