Answer:
The P-value is 0.0353.
Step-by-step explanation:
We are given the six measurements of a sprinter's reaction time show below;
X = 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds.
Let [tex]\mu[/tex] = mean sprinter's reaction time
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 0.150 seconds {means that the mean sprinter's reaction time is at most 0.150 seconds}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 0.150 seconds {means that the mean sprinter's reaction time is more than 0.150 seconds}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = ~
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{0.939}{6}[/tex] = 0.1565 seconds
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 0.0068 seconds
n = sample of measurements = 6
So, the test statistics = [tex]\frac{0.1565-0.150}{\frac{0.0068}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= 2.341
The value of t-test statistics is 2.341.
Now, the P-value of the test statistics is given by the following formula;
P-value = P( > 2.341) = 0.0353.
{Interpolating between the critical values at 5% and 2.5% significance level}
Help me with this Question Explanation will be appreciated
Harvey is reading a map of the Rocky Mountains. The map is drawn to scale so that 1.1 inches represents
88 miles. How many miles does 1.3 inches represent?
Answer:
i have no frkg idea
Step-by-step explanation:
Pls help me answer all of these but fast because it’s due in a few minutes or else it’s an f!! Pls help I have so stress and I just need help!
Answer:
ikrrrrr sammeeeeeeeeeee
A shopkeeper earns a profit of 250₹ on every chair and a loss of 175₹ on every table he sells. Find his profit or loss if he sells 12 chairs and 9 tables on a particular day.
Answer:
the shopkeeper made 1425₹ in profit on a particular dayStep-by-step explanation:
the total profit on 12 chairs:
12*250=3000₹
loss from selling 9 tables: 175*9=1575
total profit-total loss:
3000-1575=1425
the shopkeeper made 1425₹ in profit.
Answer:
1425 profit or 1575 loss
Step-by-step explanation:
250x12=3000 --> for the chairs
175x9=1575 --> for the tables
3000-1575=1425
You could say that he made 1425 profit or 1575 loss
if abcd is a parallelogram, what is the measure of angle abc?
Solve for P if E = 2.50 and r = 2.00 given that E = P4πr2
Answer:
P = 0.05
Step-by-step explanation:
E = P4πr²
2.50 = P4π(2)²
2.50 = P4π4
2.50 = P(50.265)
P = 0.05
What is the 3rd term of the linear sequence below? 22 18, 14, 10, 6
Answer:
As we can see, what we are doing is substracting 4 from one term to the next:
22 - 4 = 18
18 - 4 = 14
14 - 4 = 10
10 - 4 = 6
Knowing this and that we start on 22, we can say that for n term we have:
[tex]22-4(n-1)[/tex]
So, if we're searching the thirs term, we replace n by 3 (we can also see it in the question):
[tex]22-4(n-1)[/tex] = [tex]22-4(3-1) = 22-4*2 = 22 - 8 = 14[/tex]
So the third term is 14.
Find the value of x in this equation.
1/6 (6x-5) - x = 1/3 - 2(x + 1)
Turn 5 8/25Into a decimal
Answer: 5.32
Step-by-step explanation:
8/25 as a decimal is 0.32. Add the fraction and whole number and you get 5.32
Answer:
5.32
Step-by-step explanation:
We know that the 5 in [tex]5 \frac{8}{25}[/tex] will just be a 5, so we can leave that be for now.
Since we have [tex]\frac{8}{25}[/tex], we want to turn it into a decimal.
A way of representing decimals is [tex]\frac{x}{100}[/tex], like [tex]\frac{69}{100}=0.69[/tex].
Therefore, we can convert [tex]\frac{8}{25}[/tex] into hundredths and find the decimal that way.
[tex]\frac{8}{25} = \frac{x}{100}[/tex]
We can cross multiply to find the value of x.
[tex]100\cdot8=800\\\\800\div25=32[/tex]
This means that [tex]\frac{8}{25} = \frac{32}{100}[/tex]. This means the decimal is 0.32.
Adding the 5 to it, we get 5.32.
Hope this helped!
To undo subtraction, you
A.add
B.multipy
C.subtract
D.divide
Answer:
C
Subtract
Step-by-step explanation:
example
6-1=5
5+1=6
a racecar speeds down the highway at a constant velocity. if it travels 3,500 m in 60 seconds, what is the velocity of the racecar?
Answer:
175 i think please mark brainliest
Step-by-step explanation:
A surveyor is surveying a street. The surveyor is standing at point C looking down the street at no parking sign at point D and a stop sign at point R. Given CD = 6x-8 meters, DR = 4 meters, and point D is between C and R, what is x in meters?
Answer:
2Step-by-step explanation:
If point D is between C and R, then the vector CD = DR is true. Given the following parameter CD = 6x-8 meters, DR = 4 meters, to get the value of X we will equate both vector functions as shown;
6x-8 = 4
add 8 to both sides
6x-8+8 = 4+8
6x = 12
divide both sides by 6
6x/6 = 12/6
x = 2
Hence the value of x in metres is 2 metres.
Help please!!!! 10 points
Step-by-step explanation:
This is the answer.... Working shown
The Water level in Mr. Jacob's pond was -4 feet. After a drought, the water level dropped by 13 feet. What is the water level after the Drought?
Answer:
667.
Step-by-step explanation:
A football team gains 2 yards on the first play, loses 5 yards on the second play, loses 3 yards on the third play, and gains 4 yards on the fourth play. What is the teams overall gain or loss for all four plays? Use the visual representation below for assistance. + + FF + oa gain of 14 yards a loss of 14 yards a loss of 2 yards a gain of 2 yards??
Answer:
A loss of 2 yards
Step-by-step explanation:
2-5-3+4=-2
Given that f(x)= 4x-3 and g(x)= 2x-1 over 3 solve for g(f(2))
Answer:
[tex]g(f(2))=3[/tex]
Step-by-step explanation:
So we have:
[tex]f(x)=4x-3\text{ and } g(x)=\frac{2x-1}{3}[/tex]
And we want to solve for g(f(2)).
First, find f(2):
[tex]f(2)=4(2)-3[/tex]
Multiply:
[tex]f(2)=8-3[/tex]
Subtract:
[tex]f(2)=5[/tex]
Now, substitute this in for g(f(2)):
[tex]g(f(2))=g(5)[/tex]
Substitute this in for g(x):
[tex]g(5)=\frac{2(5)-1}{3}[/tex]
Multiply:
[tex]g(5)=\frac{10-1}{3}[/tex]
Subtract:
[tex]g(5)=\frac{9}{3}[/tex]
Divide:
[tex]g(5)=3[/tex]
Therefore:
[tex]g(f(2))=3[/tex]
X = 28+3(6) what would be the answer
Answer:
X = 28+3(6)
X = 28 +18
X = 46
Thus, the value of X will be 46.
Hope it helps.
Answer:x = 36
Step-by-step explanation:
First you would multiply 3(6) which equals 18
Then, you would add 18+28 which gives you 36
SO 36 would be your answer
what is the value of x if length is 3x-1 and width is x and the perimeter is 84
Answer:
x = 10.75
Step-by-step explanation:
To find the value of x, we need to know the equation for the perimeter of a rectangle. This equation is:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
We are given P = 84, L = 3x -1 , and W = x. Now we just plug these values in and solve for x.
P = 2L + 2W
84 = 2 ( 3x - 1 ) + 2 ( x )
84 = 6x - 2 + 2x
84 = 8x - 2
86 = 8x
86 / 8 = x
43 / 4 = x
(40 + 3) / 4 = x
10.75 = x
Hence, the value of x = 10.75.
Cheers.
Help me please (No beginners)
Answer: C
Step-by-step explanation:
The distance between numbers is the difference between them.
5/2 and 4 7/8
Using these pints the distance will be
5/2 - [tex]4\frac{7}{8}[/tex] is the same as -5/2 - 4 7/8
and is also not the same as 5/2 - (-4 7/8)
Answer:
C) None of the above
Step-by-step explanation:
The distance between 5/2 and 4 7/8 is 4 7/8-5/2= 39/8-20/8=19/8=2 3/8
A) |-5/2-4 7/8|=|-20/8-39/8|=|-59/8|=59/8= 7 3/8 SO NO
B) |5/2-(-4 7/8)|=|20/8+39/8|=|59/8|=59/8= 7 3/8 SO NO
C) None of the above = YES
Classify the number..3/8 a whole b natural c rational d integer
Answer:
It is a rational number
Step-by-step explanation:
3/8 = 0.375
The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.
Any rational number is trivially also an algebraic number.
Chance knows the length of a football field (including end zones) is 120 yards. The width of the field is 53.33 yards. What is the area of football field rounded appropriately?
Answer = about 6,400 yards squared
Step-by-step explanation:
A CD's sale price is $14. This is a 4% decrease from its original price. What was the original price?
Answer:
0.56
Step-by-step explanation:
Answer:
$14.56
Step-by-step explanation:
It is 14.56 because:
$14 + 4% = $14.56
So, that is the answer. Hope this helps!
find the square root of 64009 long diviton
Answer:
The answer is 253.
Step-by-step explanation:
The picture explains in long division
Solve for z. –2(z − 9) = 2
Hi there! :)
Answer:
[tex]\huge\boxed{z = 8}[/tex]
-2(z - 9) = 2
Divide both sides by -2:
-2(z - 9) / (-2) = 2/ (-2)
z - 9 = -1
Add 9 to both sides:
z = -1 + 9
z = 8.
solve for x 11 - 13x - 7 - 2x = 7
Answer:
x =-1/5Step-by-step explanation:
[tex]11-13x-7-2x=7\\\\\mathrm{Group\:like\:terms}\\-13x-2x+11-7=7\\\\\mathrm{Add\:similar\:elements:}\:-13x-2x=-15x\\-15x+11-7=7\\\\\mathrm{Add/Subtract\:the\:numbers:}\:11-7=4\\-15x+4=7\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-15x+4-4=7-4\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}[/tex]
Step-by-step explanation:
Hey, there!!
Let's solve it simply.
Given,
11 - 13x - 7 - 2x = 7
Simplify the like terms.
11 - 7 - 13x - 2x = 7
4 - 15x = 7.
shifting 4 in right side.
-15x =7-4
-15x = 3
Divide 3 by -15.
[tex]x = \frac{3 }{ - 15} [/tex]
Therefore, x = (-3/15) or (-1/5).
Hope it helps....
One more please help me please will you bring me a storm whatever you want just please help me thank you so so much
Answer:
both y --> -∞
Step-by-step explanation:
1. x--> -∞
=> x-1 --> -∞
=> |x-1| --> ∞
=> - |x-1| --> -∞
=> y --> -∞
2. x --> ∞
=> x-1 --> ∞
=> |x-1| --> ∞
=> -|x-1| --> -∞
=> y --> -∞
Juan rode 72 km on his bike in 4 hours. Find the unit rate
Answer:
18km/h
Step-by-step explanation:
72/4=18
speed = distance/time
Four different beverages are sold at a fast-food restaurant: soft drinks, tea, coffee, and bottled water. Explain why the type of beverage sold is an example of a categorical variable
Answer: The values of the variable can only be placed into categories.
Step-by-step explanation:
Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.
A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.
A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)? a reflection of the line segment across the x-axis a reflection of the line segment across the y-axis a reflection of the line segment across the line y = x a reflection of the line segment across the line y = –x
Answer:
reflection in the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y )
Note the x- coordinate is opposite in sign and the y- coordinate remains unchanged.
Thus
(- 4, - 6 ) → (4, - 6 )
(- 6, 4 ) → (6, 4 )
The endpoints have been reflected in the y- axis
We want to see which reflection we need to use to transform the given segment into the desired one.
The correct answer is:
"a reflection of the line segment across the y-axis"
First, we want to change the segment with endpoints at (-4, -6) and (-6, 4) to a segment with endpoints (4, -6) and (6, 4).
Note that the only thing that changes is the x-value of the endpoints, so we need to apply a reflection that only changes the x-value.
That reflection is a reflection across the y-axis.
For a general point (x, y), a reflection across the y-axis transforms the point to (-x, y).
Then the correct option is:
"a reflection of the line segment across the y-axis"
If you want to learn more, you can read:
https://brainly.com/question/15476267
While your answering dis question.... pls tell me why u r so good at math.... And don't just say because I am. Brainiest to the top answer
Step-by-step explanation:
f (x)=5x+1
Hence, In order to find f (-3), we must find the value of 5×-3 +1
Hence, Substituting x=-3,
p (-3)=5×-3 +1
= -15+1
= -14