Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,
At the null hypothesis, we test if the mean is of 25 minutes, that is:
[tex]H_0: \mu = 25[/tex]
At the alternative hypothesis, we test if the mean has changed, that is, if it is different than 25 minutes.
[tex]H_1: \mu \neq 25[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The value of 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.n is the sample size.In this problem:
25 is tested at the null hypothesis, thus [tex]\mu = 25[/tex].Sample mean of 26.2 minutes, thus [tex]X = 26.2[/tex].Sample of 51, thus [tex]n = 51[/tex].Variance of 16, thus [tex]s = \sqrt{16} = 4[/tex].The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{26.2 - 25}{\frac{4}{\sqrt{51}}}[/tex]
[tex]t = 2.14[/tex]
The p-value of the test is found using a two-tailed test(test if the mean is different of a value), with t = 2.14 and 50 degrees of freedom.Using a t-distribution calculator, this p-value is of 0.0364.Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.
A similar problem is given at https://brainly.com/question/23777908
Find the value of x and then length of each diagonal.
AC = 8x - 4
BD = 6x + 10
Homer and Marge had
dinner at the Main Street
Café. Their bill was
$35.28. If they tip their
waitress 15%, how much
of a tip will they leave?
Answer:
$5.29
Step-by-step explanation:
The tip was 15% U take that 15% and divide it by 100
whatever the answer was multiply it by a $35.28
Simplify the expression to a + bi form:
(1 – 6i) + (12 + i)
[tex]\\ \sf\longmapsto (1-6i)+(12+i)[/tex]
[tex]\\ \sf\longmapsto 1-6i+12+i[/tex]
[tex]\\ \sf\longmapsto 1+12-6i+i[/tex]
[tex]\\ \sf\longmapsto 13-5i[/tex]
[tex]\sf{13+(-5i) }[/tex]
Step-by-step explanation:
we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form
[tex](1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)[/tex]
Abigail is trying to rent a boat while on vacation. She has two options to choose from.
Bruce's Boats: $22.50 per hour plus a one time fee of $85
Peter's Pontoons: $65.00 per hour
After how many hours, will Bruce's Boats, and Peter's Pontoons charge the same amount?
A.130
B.2
C.3
D.85
ANSWER QUICK
Step-by-step explanation:
D bruce's boats: $22.50
which expression is equivalent to 2 (3g-4)-(8g+3)
Answer:
-2g-11
Step-by-step explanation:
=6g-8-8g-3=-2g-11
HELP ME OUT PLEASE
The following table shows the amount of money his friend Car earns for different numbers of hours worked.
how is the radius and area of a circle proportional
Answer:
The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.
Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius. Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2
Step-by-step explanation:
Identify the domain
of the following function.
PLS HELP
What is h in h/7.5 = 3.2
Answer:
24
Step-by-step explanation:
Answer:
24 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
7. You earn $7.80 an hour working as a dog sitter. You work 12.5 hours
during the weekend. How much money do you makely
7.8
PLEASE SHOW THE WORK
Answer:
la app es la mejor gracias
Step-by-step explanation:
kzemwmqoqlwmlzosmiw k wlwlqmwnqlqnqnnqnw b ww wnqkq n1 11nn1n1k1k1kwnwmwnwy7juhhhjuyyhhhhhyujhhhyjyyyyyynwnqkwnbu. u u. ininikwmwmw
Alejandra currently has a balance of $2,254 in her checking account. She deposits a $873.84 paycheck, a $25 rebate check, and a personal check for $358 into her checking account. She wants to receive $350 in cash. How much will she have in her account after the transaction?
Answer:
$3160.84
Step-by-step explanation:
2254 + 873.84 + 25 + 358 = 3510.84
3510.84 - 350 = 3160.84
the present value of an annuity of 3000 for 15 years at 4.5 % per annum CI is
Answer:
3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.
1
_ x + 9 for x=3 .............................................
2
Answer:
10.5
Step-by-step explanation:
[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]
[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]
x=3[tex]\\ \tt\Rrightarrow x/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3+18/2[/tex]
[tex]\\ \tt\Rrightarrow 21/2[/tex]
[tex]\\ \tt\Rrightarrow 10.5[/tex]
pwease help i also giving another brainliest
Answer:
9.45 (Jill)
Step-by-step explanation:
2.7 x 3.5 = 9.45
Lisa put the decimal in the wrong spot.
7. John is going on a trip to Brazil. He has 3 pairs of pants, with colors blue, black and green. He
has 6 shirts with colors red, white, yellow, purple, green and brown. If he has a pair of brown
shoes, black shoes and a pair of sneakers, how many different combination of pants, shirts and
foot wear can he wear while on vacation? Show your work.
Answer:
54
Step-by-step explanation:
3(pants)x6(shirts)x3(shoes)=54
I really need help getting these answers please
Answer:
[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]
Select Correct or Incorrect for each equation.
Equation
Correct
Incorrect
-1=-1
-141 =-1
o
W
Answer:
-141 = -1 W
Step-by-step explanation:
A triangle is shown on the graph:
A coordinate plane is shown. A triangle has vertices at negative 6 comma 2, negative 5 comma 5, negative 2 comma 2.
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
9514 1404 393
Answer:
the image is congruent with the original, angles and lengths are unchanged
Step-by-step explanation:
Translation, rotation, and reflection are known as "rigid transformations". Effectively, you can cut the figure from some rigid material, and move it according to any of these transformations without causing it to deform in any way.
All lengths and angles retain their measures when the figure is rotated about any point, through any angle. The rotated figure is congruent with the original.
__
Here, the triangle is defined in the second quadrant. Rotating it 90° clockwise will move it to the first quadrant. The transformation of coordinates is ...
(x, y) ⇒ (y, -x)
At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per shape. Find the percent of the increase
Answer: 7.5% increase by the end of the day.
Step-by-step explanation:
new - original = #
# / original = decimal
decimal x 100 = percent.
Choose the number sentence that illustrates the distributive property of multiplication over additional
Answer: A
Step-by-step explanation:
It distributed into 5x 4 and 5 x 9. Lemme get brainliest
Answer:
A
Step-by-step explanation:
five times x equals one
Answer:
x=0.2
Step-by-step explanation:
1 / 5 = 0.2
therefore
5 x 0.2 = 1
James Joins Club One Which charges A Monthly membership of $19.99 How Much will James Spend In all, if he continues his membership for 6 months.
Answer:
$119.94
Step-by-step explanation:
If James pays $19.99 for 1 month then it would be $119.94 for 6 months, its technically just $19.99×6months
Which statements below are true? Select all that apply.
A. Ifp - q and q are true, then p is true.
B. If p - q and p are true, then q is true.
C. If p - q and a - rare true, then p
ris true.
D. If p - q and r are true, then q
ris true.
Answer:
A
Step-by-step explanation:
The statement that If p → q and q are true, then p is true which is the correct answer would be an option (A).
What is the conditional statement?A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).
Let us consider the example to understand the parts of a conditional statement.
Conditional Statement: If today is Friday, then yesterday was Thursday.
Hypothesis: "If today is Friday."
In the given problem,
Conditional Statement: If p → q and q are true, then p is true,
Hypothesis: "If p → q and q are true"
Hence, the statement that If p → q and q are true, then p is true which is the correct answer would be option (A)
Learn more about the conditional statement here:
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 130x + 140
Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
I will give BRAINEST
If l| m, find the values of x and y in the diagram below
Answer: x= 13, y=24
Step-by-step explanation:
7x - 31 + 63 + 5x - 8 = 180 (sum of co-interior angles)
Solving this we get x = 13
4y + 27 + 5x - 8 = 180 (sum of co-interior angles)
Replacing x=13 and solving, we get y = 24
The value of x is 7 and y is 31.5.
What is Transversal line?Transversal line is a line that is formed by cutting two or more parallel lines.
Here there are two transversal lines which cut two parallel lines.
If two parallel lines are cut by a transversal line, then the interior angles on the same side of the transversal will be supplementary.
The angles of measures (7x - 31)° and (5x - 8)° + 63 are two interior angles on the same side of transversal and are thus supplementary.
(7x - 31)° + (5x - 8)° + 63 = 180°
7x + 5x - 31 - 8 + 63 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 156/12 = 13
Similarly, (5x - 8)° and (4y + 27)° are a pair of interior angles on the same side of transversal.
(5x - 8)° + (4y + 27)° = 180°
5x + 4y + 19 = 180
(5 × 13) + 4y + 19 = 180
65 + 4y + 19 = 180
4y = 96
y = 24
Hence the values of x and y are 13 and 24 respectively.
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You roll a six-sided die. Find the probability of each of the following scenarios
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number
---
(a) P(6 or number > 3) = 0.500 (Round to three decimal places as needed)
(b) P(1 or 2 or 3 or 4 or 6) =
(Round to three decimal places as needed.)
Answer:
a) [tex]1/2[/tex]
b) [tex]5/6[/tex]
c) [tex]2/3[/tex]
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]
como se redondea un número a la unidad
Graph the point (5,6)
Answer:
(x,y)
Step-by-step explanation:
On point 0 you would go right 5 times and up 6
You have 10 blue shirts and r red shirts.
What expression shows your total number of shirts?
can anyone help me with this quickly please :)
To find the y-value that matches with the x-value, we will need to plug in the x-value and simplify the expression.
f(-2) = sqrt(-2 + 2) - 6
f(-2) = sqrt(0) - 6
f(-2) = -6
f(-1) = sqrt( -1 + 2) - 6
f(-1) = sqrt(1) - 6
f(-1) = 1 - 6
f(-1) = -5
f(2) = sqrt(2 + 2) - 6
f(2) = sqrt(4) - 6
f(2) = 2 - 6
f(2) = -4
f(7) = sqrt(7 + 2) - 6
f(7) = sqrt(9) - 6
f(7) = 3 - 6
f(7) = -3
Hope this helps!! :)