Answer:
The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.
Step-by-step explanation:
The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.
This means that at the null hypothesis we test that the proportion is 47% = 0.47, that is:
[tex]H_0: p = 0.47[/tex]
And at the alternate hypothesis, we test that the proportion is different from 47%, that is:
[tex]H_a: p \neq 0.47[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
47% is tested at the null hypothesis:
This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]
A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1300, X = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]
[tex]z = 2.17[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the proportion differs from 0.47 by at least 0.5 - 0.47 = 0.03, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of Z = -2.17
Z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.
compare the following pairs of numbers. in each pair,state which is greater
a. 759
b. 8769
c. 96699
d. 36754209
The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.
please someone help me with this ASAP with the workout!!
Answer:
18cm
Step-by-step explanation:
How many pairs of opposite sides are parallel
please help ASAP 20 points to whoever helps!
Answer:
A. 232 in²
B. 216 in²
Step-by-step explanation:
A. Box A is a cuboid/rectangular prism.
Surface area of box A = 2(LW + LH + WH)
L = 10 in
W = 2 in
H = 8 in
Surface area = 2(10*2 + 10*8 + 2*8)
= 2(20 + 80 + 16) = 2(116)
Surface area = 232 in²
B. Surface area of B = surface area of cube
Surface area of cube = 6s²
s = 6 in
Surface area = 6(6²)
= 6(36)
= 216 in²
Which statement uses words to represent 5+8x3-2
Answer:
A. Five more than the product of 8 and 3, minus 2
Step-by-step explanation:
A is the correct answer because it correctly displays "5 + 8 x 3 - 2"
Hope this helps. :D
-Luna
Select all the roots of the following equation.
Solve (x−5)(x+9)=0
Select 2 correct answer(s)
14
5
-9
5
9
-14
Answer:
5, -9
Step-by-step explanation:
(x - 5)(x + 9) = 0 These are factors, to get the roots, just set each one equal to zero
x - 5 = 0
x = 5
x + 9 = 0
x = -9
Answer:
Postive 5 and negative 9.
Step-by-step explanation:
So remember, all we have to do is set each of the parethese to zero and solve. It should look like this:
x-5=0 and x+9=0
For the first equation we have made, jsut add 5 to both sides so x is alone. This will get you:
x=5
So the first answer for x is 5.
Now lets solve our second equation and find the second answer for x.
So all we have to do for this one is subtract 9 from both sides. This should get you:
x=-9
So now we know that our two answers for x is 5 and -9.
These two answers seem to be on your list as #2 answer and #3 answer.
The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."
Possible answers
Side angle side (SAS)
Angel side angle (ASA)
Hypotenuse leg (HL)
Not possible
Answer:
1 : Hypotenuse leg (HL)
2: Angle side angle (ASA)
3: Side angle side (SAS)
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the congruence postulate
Figure (1):
From the attachment;
[tex]AC = BD[/tex] --- The hypotenuse
[tex]CB = CB[/tex] --- One other leg
Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL
Figure (2):
From the attachment, we have:
[tex]150^\circ = 150^\circ[/tex] --- Angle
[tex]15^\circ = 15^\circ[/tex] ---- Angle
The horizontal line that divides both triangles show that they have a congruent side.
Hence, the postulate is: ASA
Figure (3):
From the attachment, we have:
A pair of single marks (Side)
A pair of double marks (Side)
A pair of equal angles
Hence, the postulate is: SAS
what is the slope of the line
Answer:
3
Step-by-step explanation:
3/1
Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!
Answer:
100/70
Step-by-step explanation:
i did 25 times 4 got 100 then did 100/70
1. Which of the following best approximates the measure of 2?
a. 10
b. 20
c. 30
d. 45
a2+9a+18
Can someone factor this for me
Answer:
(a+3)(a+6)
Step-by-step explanation:
a(a+6)+3(a+6)
(a+3)(a+6)
What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for n.
Answer:
28.26 in
Step-by-step explanation:
Radius = (1/2) diameter
Radius = (1/2)(9)
Radius = 4.5 in
Circumference = 2πr
Circumference = 2(3.14)(4.5)
Circumference = 28.26 in
Eric is a great skateboard fan. He visits a shop named SKATERS to
check some prices. At this shop you can buy a complete board. Or
you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of
hardware, and assemble your own board. The prices for the shop's
products are:
Answer:
minimum: 80 zeds
maximum: 137 zeds
Step-by-step explanation:
minimum price is where you choose all the cheapest options
lowest deck price is 40, lowest wheel set price is 14...
40+14+16+10
=40+30+10
=80
maximum price is where you choose all the most expensive options
highest deck is 65, highest price of wheels are 36, hardware 20
65+36+16+20
=65+72
=137
Hw
EXERCISE solve the following problems
? Rhonda had to draw the lines of symmetry in the parallelogram below
She drew this:
Was she correct?
Yes No
shape
Explain your answer
How many lines of symmetry are
in the 5-pointed star to the right?
raw the lines of symmetry
Plz help if correct ill give brailiest
Answer:
That first one is the answer
Answer:
the last one
Source : Trust me Bro
(its actually the last one)
The Smithtown water company uses warm water meters that measure water usage in gallons. They charge $.12 per gallon of water. If Jack's previous meter reading was 45,621 gallons and his present water reading is 48,555 gallons what is the amount of his water bill?
Subtract to find the number of gallons used:
48,555 - 45621 = 2,934 gallons.
Multiply gallons used by price per gallon:
2,934 x 0.12 = $352.08
A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?
There are 362,880 ways to ducklings line up.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A mother duck lines her 9 ducklings up behind her.
Now,
Since, A mother duck lines her 9 ducklings up behind her.
Hence, By using Fundamental counting principal we get;
The number of ways for ducklings line up = 9!
= 9×8×7×6×5×4×3×2×1
= 362,880
Thus, The number of ways for ducklings line up = 362,880
Learn more about the multiplication visit:
brainly.com/question/28768606
#SPJ2
Does anyone know what the answer please???
Answer: 8
As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2
In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2
Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
Based on this data, what percentage of the material that Tom read is a magazine?
Answer:
Step-by-step explanation:
20 dude hahah
what fraction belongs in the box?
l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l___
0 1 2 3 4
*box
Suppose the point (3,-1) is changed to (3,0) on this rectangle. Change a second point
so the figure remains a rectangle. What is the area of the new rectangle?
Answer:
10 units I believe......
Answer:
The area is 10 sq. units
Step-by-step explanation: (-2, 1) would change to (-2, 0). So the width changes to 2 and the length becomes 5, making the area 10 sq. units
PLEASE HELPPP! I'LL GIVE BRAINLEST
Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?
The area of the queen sized blanket is 9 times bigger than the area baby blanket.
What is the area of a rectangle?
The area of a rectangle is the multiplication of it's length and breadth.
Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.
The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.
Therefore, the ratio of the baby blanket : queen sized blanket
= 6 : 54
= 1 : 9
Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.
Lear more about the area of the rectangle here: https://brainly.com/question/24408520
#Tag #SPJ2
Pls someone help me with this question pls
Answer:
C. The number is a perfect square because (17) × (17) = 289
-2x-3y=-7
y+1=x
solve for y and x
Answer:
x = 2 and y = 1
Step-by-step explanation:
First, solve for y by substituting the second equation as x into the first equation
-2x - 3y = -7
-2(y + 1) - 3y = -7
Simplify and solve for y
-2y - 2 - 3y = -7
-5y - 2 = -7
-5y = -5
y = 1
Solve for x by plugging in 1 into the second equation
y + 1 = x
1 + 1 = x
2 = x
So, the answer is x = 2 and y = 1
Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?
Answer:
No equations given but the answer is c=1x+7.96
Step-by-step explanation:
How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?
Answer:
3.42 times.
Step-by-step explanation:
We can simply see how many times greater the numbers are from one another.
927,645/271,461 = 3.41723120448 about 3.42 times.
What is the measure of n?
m
n
8.
4
n
=
V[?]
Answer:
I think the answer is n=32 because 8×4 is 32
Find the volume: 8 cm 20 cm 12 cm
Answers: 960 cm 1920 cm 3 960 cm 2 240 cm
Answer:
1920 cm
Step-by-step explanation:
You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.
Base your answer on calculate the measure of and b
The answer would be 30°.