Answer:
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject [tex]H_0\ at\ 5%[/tex] level of significance
Step-by-step explanation:
From the question we are told that:
Sample size 1 [tex]n_1=15[/tex]
Spacing 1 [tex]s_1=8[/tex]
Mean 1 [tex]\=x_1=8.48[/tex]
Standard deviation 1 [tex]\sigma_1=0.96 kPa[/tex]
Sample size 2 [tex]n_2=16[/tex]
Spacing 2 [tex]s_2=6[/tex]
Mean 1 [tex]\=x_1=9.93[/tex]
Standard deviation 1[tex]\sigma_1=1.02 kPa[/tex]
Generally the hypothesis is mathematically given as
Null [tex]H_0:\mu_1-\mu_2[/tex]
Alternative [tex]H_a:\mu_1\mu_2[/tex]
Generally the equation for pooled estimate is mathematically given by
[tex]S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }[/tex]
Therefore
[tex]S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }[/tex]
[tex]S=0.9905[/tex]
Generally the equation for test statistics is mathematically given by
[tex]t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}[/tex]
[tex]t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}[/tex]
[tex]t=-4.00091[/tex]
Therefore From table
[tex]P value=P(t_{15+15-2}=4.00091)[/tex]
[tex]P value=0.00041918[/tex]
[tex]P<0.0005[/tex]
Therefore
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject [tex]H_0\ at\ 5%[/tex] level of significance
No links please 15 Points
Answer:
C
Step-by-step explanation:
Suppose that 40% of cars in your area are manufactured in the U.S., 30% in Japan, 10% in Germany, and 20% in other
countries. Determine the following probabilities.
a. a car selected at random is made in Germany or Japan
b. a car selected at random is not US-made
c. two cars are selected at random, both are from Japan
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include
your calculations in your answer.
Answer:
A) The probability that a randomly chosen car is made in Germany or Japan is 40%.
B) The probability that a car chosen at random is not made in the United States is 60%.
C) The probability that two randomly chosen cars are both from Japan is 9%.
Step-by-step explanation:
Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:
A)
(30 + 10) / 100 = X
40/100 = X
0.4 = X
Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.
B)
(30 + 10 + 20) / 100 = X
60/100 = X
0.6 = X
Therefore, the probability that a car chosen at random is not made in the United States is 60%.
C)
10/30 x 10/30 = X
0.3 x 0.3 = X
0.09 = X
Therefore, the probability that two randomly chosen cars are both from Japan is 9%.
3360832553 ____ pass___ wZE2XQ
Answer:
what is this?
Step-by-step explanation:
if you elaborate I am more then happy to help
Answer:
.
Step-by-step explanation:
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answer:
pretty sure the answer is electrons so D
Step-by-step explanation:
Electrons are particles that surround the nucleus of an atom like a cloud
i need assistance please
what is 2+2 4+4 8+8 i need math help
Answer:
2+2 is 4 4+4 is 8 8+8 is 16
Step-by-step explanation:
if you need them added up here: 4+8 =12 12+16 = 28
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer: 125.6 inches cubed.
Step-by-step explanation:
Formula for cylinder volume: Volume=(pi times radius cubed) times height
3.14 x 4(radius)=12.56
12.56 x 10 (height) = 125.6
Hope this helps
What is the probability that I will roll a 4 on a standard number cube?
Answer:
the probability of rolling any single digit on a 6-sided fair cube is 1/6
find the slope(4,9),(1,6)
plz help
Answer:
slope: m = 1
Step-by-step explanation:
What voltage is required to force 4.5 amperes of current through an electric iron having a resistance of 25.5 ohms
Answer:
V = 114.75 Volts
Step-by-step explanation:
Ohm's Law V = IR
I = 4.5 A
R = 25.5 Ω
V = (4.5)(25.5)
V = [4×25.5] + [0.5×25.5]
V = 102 + 12.75
V = 114.75 Volts
If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?
9514 1404 393
Answer:
y = -(x -7)² +6
Step-by-step explanation:
Replacing x with (x-h) translates the graph h units to the right. You want h=7.
Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.
These transformations make the new equation be ...
y = -(x -7)² +6
In APQR, T, U and S are points of tangency. PR = 12 units. Find TR.
Answer:
TR = 3 units
Step-by-step explanation:
PR = 12 units
PS = 9 units
PU = PS = 9 units (tangents drawn from an external point are congruent)
RU = PR - PU
RU = 12 - 9
RU = 3 units
TR = RU = 3 units (tangents drawn form an external point of a circle)
TR = 3 units
The Pythagorean Identity states that (sin x)^2 + (cos x)^2 = 1 Given cos 0 = 7/4 find sin 0. Simplify the fraction.
Answer:
sin∅=3/4
Step-by-step explanation:
sin²x+cos²x=1
sin²x+(√7/4)²=1
sin²x+7/16=1
sin²x=9/16
sinx=3/4
Therefore, sin∅=3/4
geometry help pleaseeee
Answer: 11
Step-by-step explanation:
[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)
This gives that x = 11
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
$346.5
Step-by-step explanation:
10% of $550 is 55
3*55 = 165
550 - 165 = $385
10% of $385 is 38.5
385 - 38.5 = $346.5
Have a nice day! :-)
what percent of 80 is 60
It is 75%.
Hope this helps.
We can write the complete statement as -
75% of 80 is equivalent to 60.
How can we represent "a% of b"?We can represent "a% of b" as -
a% of b = a/100 x b
a% of b = ab/100
So, a% of b = ab/100
Given is to find what percent of 80 is 60.
Assume that {x}% of 80 is equivalent to 60. So, we can write -
60 = x% of 80
60 = {x}/100 x 80
60 = 80x/100
60 = 8x/10
x = 600/8
x = 75
So, we can write that
75% of 80 is equivalent to 60.
Therefore, we can write the complete statement as -
75% of 80 is equivalent to 60.
To solve more questions on percentage, visit the link below-
https://brainly.com/question/19034579
#SPJ7
What is the solution to the equation √8x = √4+2x?
Answer and Step-by-step explanation:
The first step in solving for x is to square both sides.
8x = 4 + 2x
Now, subtract 2x from both sides.
6x = 4
Now, divide each side by 6.
x = [tex]\frac{4}{6} = \frac{2}{3}[/tex]
x = [tex]\frac{2}3}[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
Plz help this is urgent
Answer:
D
Step-by-step explanation:
The table represents some points on the graph of a linear function.
What is the slope of the graph of the linear function?
Answer:
1 over 2
Step-by-step explanation:
9-(-7)=-2
-8-(-4)-4
-6-(-3)=-3
-2-4=-6
When you simplify both of the fractions -2 over -4 and -3 over -6
You get 1 over 2 as the slope for both. 1/2
If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number
Answer:
Step-by-step explanation:
x-4/4=x/6+1
x-4 =4/6x+4
x-2/3x =8
1/3x =8
x=24
KHAN ACADEMY HELP pls
Answer:
image
Step-by-step explanation:
plzzz give me brainliest
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
quadratic equation whose vertex is (2,3) and y intercept is 11
Answer:
y = 2(x - 2)² + 3 vertex form
y = 2x² - 8x + 11 standard form
Step-by-step explanation:
Vertex form
y = a(x - h)² + k
(h, k) = (2, 3)
y = a(x - 2)² + 3
To find "a" plug in the y-intercept (0, 11)
11 = a(-2)² + 3
11 = 4a + 3
Subtract 3 from both sides
8 = 4a
a = 2
y = 2(x - 2)² + 3
Expand
y = 2(x² - 4x + 4) + 3
y = 2x² - 8x + 11
Katy put $3000 into his bank account. If the account pays 6% interest compounded continuously, when will it be worth $6000? Round to 3 decimal places.
Answer:
11.55 years
Step-by-step explanation:
Given data
Principal= $3000
Rate= 6%
Final Amount= $6000
expression for the time is given as
t = ln(A/P) / r
Substitute
t= ln(6000/3000)/0.06
t= ln(2)/0.06
t= 0.693/0.06
t= 11.55 years
Hence the time is 11.55 years
This dot plot is not symmetric, and the data set has two
extreme values.
.
2
3
4
6
7
8
9 10
What is the best measure of center for this dot plot?
A. The median
B. The mean
C. The mean absolute deviation (MAD)
D. The interquartile range (IQR)
Answer:
um sorry if I'm wrong....C?
Step-by-step explanation:
Find the volume of the cube below
An amusement park is open May through September. The table shows the attendance each month as a portion of the total attendance. How many times more guests visit the amusement park in the busiest month than in the least busy month?
Answer:
may 90/100
june 32/100 multiply by 4
july 22/100
august 29/100
September 8/100 multiply by 4
i didnt understand the quastion but least means the Lowest number that mean the answer is september
The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?
Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Answer:
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
Somebody Please help!!!
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16