Answer:
E. 0.9953
Step-by-step explanation:
The computation of the p value is shown below:
According to the question
The participant choosen from 3 different state parks, r = 3
And there are 3 different age group, s = 3
So, degrees of freedom is
= (r-1) × (s-1)
= 2 × 2
= 4
And, the Test statistic is 15.01
Now
p-value = P(Chisq < 15.01 )
= 0.9953
In the chisquare table see the degree of freedom i.e. 4
Answer:
0.0047
Step-by-step explanation:
This is what college board says
The value 0.0047 is the probability that χ2 is greater than 15.01 in an χ2 distribution with (3−1)(3−1)=4 degrees of freedom.
Which of the following is the least reduced equivalent of 243/729?
A.2/6
B.1/3
c.3/9
D. 1/2
Answer:
B.1/3
Step-by-step explanation:
Dividing by 3.
243/729
81/243
27/81
9/27
3/9
1/3
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
pls help!
find the area
Answer:
Area of circle = πr²
22/7*11*11
2662/7
380.13 in² is your answer ☺️☺️☺️
Please help me please
Answer:
y = x
Step-by-step explanation:
Hi,
We know that in the equation...
y = mx + b
m = slope
So, to find the equation of the line, we have to plug in what we already know. So...
-7 = 1 (-7) + b
Solve...
-7 = -7 + b
b = 0
That means that your equation is...
y = x
(you don't have to put the one in front of the x)
I hope this helps :)
Which of the following is the closest to the value of x
Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
You borrow $600 to buy a canoe. The simple annual interest rate is 5%. You pay off the loan after 4 years of equal monthly payments. How much is each payment?
Answer:
Amount of each payment = $15 each month
Step-by-step explanation:
Given:
Amount borrow = $600
Simple rate = 5% = 0.05
Number of year = 4 year
Payment method = monthly payment
Find:
Amount of each payment
Computation:
Total amount after 4 year = P + PRT
Total amount after 4 year = 600 + (600)(4)(0.05)
Total amount after 4 year = 600 + 120
Total amount after 4 year = $720
Number of total month = 4 x 12
Number of total month = 48
Amount of each payment = Total amount after 4 year / Number of total month
Amount of each payment = $720 / 48
Amount of each payment = $15 each month
g(x) = 2x – 4
h(x)=x²-3
Find (g.h)(5)
Answer:
40
Step-by-step explanation:
This is asking you to plug in the value of h(5) into g(x). First solve for h(5)
x^2-3 = h(x)
5^2-3= 22
h(5) = 22
h(5) is 22. So now, plug that into g(x).
g(h(5)) = 2(22)-4
44-4=40
(g.h)(5) is 40.
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. T
oday 5 Years Ago Mean 82 88 Variance 112.5 54 Sample Size 45 36
The standard deviation of the difference between the means of the two populations is
A) 12.9
B) 9.3
C) 4
D) 2
Answer: D) 2
Step-by-step explanation:
The standard deviation of the difference between the means of the two populations is given by:-
[tex]S.E.=\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}}}[/tex]
where [tex]n_1[/tex]= sample size of population 1
[tex]n_2[/tex]= sample size of population 2
[tex]\sigma^2_1[/tex]= variance of population 1
[tex]\sigma^2_2[/tex]= variance of population 2
As per given,
[tex]S.E.=\sqrt{\dfrac{112.5}{45}+\dfrac{54}{36}}}\\\\=\sqrt{4}\\=2[/tex]
Hence, the correct option is D) 2.
I need questions 1 , 2 ,3 answered please :)
9514 1404 393
Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
__
3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
I pick a ball from a bag, replace it and then pick
another. I keep doing this until I have chosen 40 balls. If I picked out 12 yellow balls, estimate the probability of not picking out a yellow ball.
Answer:
It should be 50%
Step-by-step explanation:
It should be 50% because there are 12 yellow balls, so it should be 50%.
Hope it helps you
In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.
a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.
1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias
b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?
1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias
c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?
1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample
The figure below consists of a triangle, a rectangle, and a trapezoid.
What is the area of the figure in square units?
A. 39
B. 37
C. 49
D. 42
Answer:
Area of the figure = 39 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
Base of triangle = 4
Height = 1 + 5 = 6
Area of the triangle = 1/2 *4 * 6
Area of the triangle = 12units²
Area of rectangle = Length * Width
Length = 4
Width = 5
Area of rectangle = 4 * 5
Area of rectangle = 20units²
Area of trapezoid = 1/2(a+b)*h
a and b are the parallel sides
h is the height
a = 2
b = 5
h = 6-4 = 2
Area of trapezoid = 1/2(2+5)*2
Area of trapezoid = 1/2*7*2
Area of trapezoid = 7units²
Area of the figure = Area of the triangle +Area of the rectangle + Area of the trapezoid
Area of the figure = 12 + 20 + 7
Area of the figure = 39 square units
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?
Answer:
495 milliliters of the 95% mixture are needed.
Step-by-step explanation:
Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:
55 x 0.45 + 45 x 0.95 = 67.5
25 x 0.45 + 75 x 0.95 = 82.5
15 x 0.45 + 85 x 0.95 = 87.5
10 x 0.45 + 90 x 0.95 = 90
10 = 55
90 = X
90 x 55/10 = X
4,950 / 10 = X
495 = X
Thus, 495 milliliters of the 95% mixture are needed.
help me with the math problem
Answer: If Im correct, Y= 14
Step-by-step explanation:
If X=2
Then 2x would be 2x2
and that equals 4
so then you have y=4+10
and 4+10=14
y=14
Answer:
y = 14
Step-by-step explanation:
y = 2x + 10 , x= 2.
y = 2(2) + 10
= 4 + 10
= 14
Will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
its a reflection over the x-axis
Give the system, X + y = 15 3x - y = 9, find the value of x and y
Answer:
(x,y)=(9/77,684/77)
Step-by-step explanation:
X + y = 15 3x - y = 9
=154x=18
x=9/77
9/77+y=9
y=684/77
=(x,y)=(9/77,684/77)
A movie theater has 940 seats. Tickets were sold for 846 of the seats. For what percent of the seats were tickets sold?
Answer:
90 percent
Step-by-step explanation:
a customer asked for 48 oz of turkey lunch meat and 64 oz of cheese.How many pounds of lunch meat did the customer buy in total
Answer:
in order to get the total you must add add 48 + 64 whereby you get 112
Step-by-step explanation:
the the customer bought 112 pounds of meat hope that helps
On a flight,
3/10
of the passengers were children. There were
60 children on the flight. How many passengers were on
the plane?
Answer:
There were 200 passengers on the plane.
Step-by-step explanation:
1. 3/10 of the passengers were children -> 30% of the passengers were children
2. 60 children on the flight 30% of passengers = 60 people
divide by 3 -> 10% of passengers = 20 people
multiply by 10 -> 100% of passengers = 200 people.
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to 2 meters?
(A) 200 mm
(B) 20 cm
(C) 200 km
(D) 2,000 mm
Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answer:
is 16 foot a part from the building
What is the measurement of Angle E? A) 45° B) 600 ( 75° D) 90°
Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º
explanation:
angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)
so the missing angle E would be 60º
HELP (for the first select answer its “yes” or “no”)
Answer:
No, the sample is too small compared to the size of the shipment.
Step-by-step explanation:
Can someone help me pls
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?
Which table shows ordered pairs that satisfy the function y = x + 1?
А
X
12
0
2
- 4
1
4
B
-2
0
2
5
0
5
С
X
y
5
-2
0
2.
1
5
D
x
y
-24
0 2
2 4
Answer:
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...
Step-by-step explanation:
If a= 35 then find b
9514 1404 393
Answer:
35
Step-by-step explanation:
All of the marked angles subtend the same arc, so all have the same measure.
a = b = c = d = 35
b = 35
Can someone help me pls
Answer:
Okay so for this one use the Pythagorean theorem
Step-by-step explanation:
A^2 + 28^2 = 128^2
You are trying to find A.
So 28^2 is 784
128^2 is 16384
Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600
Now you find the square root of both sides which gives you: A= 124.89 round it to 125
What is four x equals twelve
Answer:
x= 3
Step-by-step explanation:
12 ÷ 4 +3
The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given statement is "four x equals twelve"
According to the given question, translate the phrase into an algebraic expression:
⇒ 4x = 12
Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"
Now the above expression solves for variable x,
⇒ 4x = 12
Divided by 4 into both sides of the above equation,
⇒ 4x / 4 = 12 / 4
⇒ x = 3
Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2