Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
The number six and twelve-hundredths in decimal numbers?
Answer:
12.06
Step-by-step explanation:
Which equation represents the data in this function table?
A. y = x + 4
B. y = x - 4
C. y = 4x
D. x = y + 3
Answer:
A.
Step-by-step explanation:
If you put the x value of the table and use it in each equation, only one gives the y output on the table.
y=x + 4
5=1 + 4
6=2+4
7=3+4
8=4+4
9=5+4
The correct option is A) y=x+4
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here option A as y=x+4 now lets verify this option
if x=1 then y = 1+4
= 5
Again if x=2 then y =2+4
=6
Similarly it can be clearly observed that all the values of y are 4 greater than the input of x given in the table.
Hence, option A is the correct answer.
Learn more about linear equations here:
https://brainly.com/question/29739212
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¿Cuál de las siguientes respuestas es equivalente a 3 decámetros? Hint: 3 decámetros es lo
mismo que 3 dam.
(3 puntos
300 cm
30,000 cm
300.000 cm
3,000 cm
Answer:
[tex]3 \times 10000 = 30000[/tex]
deca
Complete the congruence statement.
Answer:
QPR
Step-by-step explanation:
If PQR = GHI, then HGI = QPR
Find the equation of the tangent at the point (1.1) for the function Y given in the equation
xy^2 + y = 2x
If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.
Compute the derivative using implicit differentiation:
d/dx [xy ^2 + y] = d/dx [2x]
d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]
(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2
2xy dy/dx + y ^2 + dy/dx = 2
(2xy + 1) dy/dx = 2 - y ^2
dy/dx = (2 - y ^2) / (2xy + 1)
Plug in x = 1 and y = 1 :
slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3
Now use the point-slope formula to get the equation of the line:
y - 1 = 1/3 (x - 1)
y = x/3 + 2/3
I need the answer fast
Answer:
84
Step-by-step explanation:
Answer:
it would either be 2 or 26
Step-by-step explanation:
pls mark braainlieszt
solve for the exact value of x
4ln(8x−2)+2= 10
9514 1404 393
Answer:
x = (1/4) +(1/8)e^2
Step-by-step explanation:
Undo what is done to x.
4ln(8x-2) +2 = 10
4ln(8x -2) = 8 . . . . . . . subtract 2
ln(8x -2) = 2 . . . . . . . . divide by 4
8x -2 = e^2 . . . . . . . . . take antilogs
8x = 2 +e^2 . . . . . . . . add 2
x = (2 +e^2)/8 . . . . . . divide by 8
x = (1/4) +(1/8)e^2
plelalslwlwlwe helpppppppp!!!
Answer:
c
Step-by-step explanation:
Answer:
The answer is B [4.5x + 15]
Step-by-step
The triangle is an equilateral, so you can use the same formula on each side.
1.5x x 3 = 4.5x
5 x 3 = 15
Find the y-intercept and the axis of symmetry of f(x) = ax2 – 6ax +2.
The y-intercept is
and the axis of symmetry is x=
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug. If 5,000 people took the drug, which of the following is closest to the interval estimate of the number of people who would indicate they were experiencing side effects from the drug at a 95 percent level of confidence?
a. (0.313,0.447)
b. (0.324, 0.436)
c. (65,87)
d. (1565, 2235)
e. (1620, 2180)
Answer:
a. (0.313,0.447)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.
This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]
The correct answer is given by option A.
A car dealership sells 3 types of vehicles (cars, trucks, SUVs) that come in 5 different colors (blue, black, white, silver, red). Which table represents the sample space of randomly selecting a vehicle from the dealership? (DOK 1)
Table A
Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
Table B
Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Truck Blue Truck Black Truck White Truck Silver Truck Red Truck
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table C
Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Car Blue Car Black Car White Car Silver Car Red Car
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table D
Black White Black White Red
Car Black Car White Car Black Car White Car Red Car
Truck Black Truck White Truck Black Truck White Truck Red Truck
SUV Black SUV White SUV Black SUV White SUV Red SUV
Select one:
Table B
Table A
Table C
Table D
Step-by-step explanation:
Table A
Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
hope it is helpful to you
A bag contains 14 blue, 30 red, and 6 green marbles. Paola draws a marbles from the bag, records its color, and puts the marble back into the bag. Then she repeats the process.
Based on the results, which is the best prediction of how many times Paola will draw a blue or a red marble in 5,000 trials?
Answer:
4,000
Step-by-step explanation:
What is 94.53 ÷ 2.3?
O 41.1
O4.11
O 411
O 0.411
-7, -3, 1, 5 what is the explicit formula
Answer:
f(x)=4x-11
Step-by-step explanation:
This is a linear sequence, so we have to find our common difference, or slope, by finding the difference between any term and its previous term. We should do this a couple of times to make sure it's consistent. In this case, our slope is 4 and our first term is -7. We can do our equation in slope intercept (y=mx+b) form. However, to do this, we have to find the '0'th' term, or the term where x=0, a.k.a. the y-intercept. Our 1st term where x-1 is -7, and since our common difference is 4, we subtract 4 from negative 7 to get a y-intercept of -11. Our equation is now y=4x-11. To make this an explicit formula, we convert into f(x) form to get a formula of f(x)=4x-11.
Solve for x. Need it by today.
Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.
Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.
With this, do:
360-90-125 = 145
to get the amount of arc in the unknown area.
Still though, we need to find the x value, so get the unknown value and set it equal to 145.
16x + 1 = 145
16x + 1-1 = 145-1
16x=145
x = 9.0625 or 9 1/16
Hope that helps.
Which of the following choices can be considered binomial random variables?
Choose all answers that apply:
A
A container holds 100 pens, half of which are red. Select an SRS of 5 pens and let R= the
number of red pens obtained.
в)
A container holds 1000 pens, half of which are red. Select an SRS of 5 pens and let S = the
number of red pens obtained.
A container holds 20 pens, half of which are red. Select an SRS of 5 pens and let Q = the
number of red pens obtained.
Answer: A and B
Step-by-step explanation:
Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.
A binomial random variable is such that can take either of two possibilities at the same time.
Samples R and S can be considered as binomial random variables
For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.
So, we have the following highlights
Container A
[tex]n =100[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{100}{5}[/tex]
[tex]\frac nx = 20[/tex]
This means that the population is 20 times the sample size.
Hence, R is a binomial random variable.
Container B
[tex]n =1000[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{1000}{5}[/tex]
[tex]\frac nx = 200[/tex]
This means that the population is 200 times the sample size.
Hence, S is a binomial random variable.
Container C
[tex]n =20[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{20}{5}[/tex]
[tex]\frac nx = 4[/tex]
This means that the population is 4 times the sample size.
Hence, Q is not a binomial random variable.
Read more about random variables at:
https://brainly.com/question/13733697
What is the probability of getting 5 baskets ina row out of 10 shots
Please answer it. I will give brainliest if its correct..
Answer:
9°
Step-by-step explanation:
6x = 5x +9
6x-5x=9
x= 9
_____
A right rectangular prism with dimensions of 2 cm 5 cm and 10 cm is shown.
5 cm
2 cm
10 cm
* diagram not drawn to scale
What is the volume of the prism?
Answer:
What is the similar in the United States to the Canadian Charter of Rights and Freedoms?
Step-by-step explanation:
Volume= Length x Width x Height
though it does not have a diagram in this situation it does not matter the order you put the numbers in. any way you multiply them you will get the same answer/volume.
10cm x 5cm x 2cm=100cm^3
Hope this helps!
How can you evenly split 8 apples among 15 people without cutting any apple into more than 5 parts?
Answer:
1/3 and 1/5
Step-by-step expl1
u should kno
What is the answer to this question?
Answer: inscribed angle
Step-by-step explanation:
inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
Decompose 2 ⅜ Plz help
Answer:
19 / 8
Step-by-step explanation:
2 3/8 = 19/8
URGENT NEED HELP CLICK TO SEE
Answer:
35
Step-by-step explanation:
- x - = +
Therefore :
-5 x - 7 = 35
Write 0.0000000000048 as a multiple of a power of 10.
Answer:
4.8 x 10^-13
hope this helps
have a good day :)
Step-by-step explanation:
Determine the greatest common factor of 28xy9z and 32x2y2z
Answer:
4xy^2z
assuming those numbers after the first ones are exponents
These triangles are:
A) congruent,
B) similar or
C) neither
Answer:
there is no photo
Step-by-step explanation:
What’s the correct answer? I will mark as brainlest
Answer:
Dear your answer is 9
so , please mark me as brainliestTHANK YOU
Angle Relationships
For the triangle above, find sin B.
a. 25°
b. 0.385
c. 0.923
d. 18°
Please select the best answer from the choices provided
Answer:
c
Step-by-step explanation:
12/13=0.923 , and also sinb is ac/ab
Answer:
C. 0.923
Step-by-step explanation:
I calculated it logically
Topic Test
Find the coordinates of PQ with endpoints P(2, -4) and Q(4, 2) under the translation left 3 units and up 4 units.
a. P'(-2, -4) and Q'(-4, -2)
b. P'(-1, 0) and Q'(1, 6)
c. P'(5, -1) and Q'(-2, -2)
d. P'(0, -7) and Q'(1, -1)
Please select the best answer from the choices provided
Answer:
B. P'(-1, 0) and Q'(1, 6)
Step-by-step explanation:
Please select the best answer from the choices provided
Answer:
The answer is A. P'(-2, -4) and Q'(-4, -2)
Step-by-step explanation:
OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!
There are 12 chickens.
Every week each chicken lays 3 eggs.
What is the totai number of eggs iaid in 7 weeks?
You must show your working.
Answer:
252 eggs in 7 weeks
Step-by-step explanation:
[tex]12 \times 3 = 36 \\ 36 \times 7 = 252[/tex]