Using the t-distribution, it is found that:
The test statistic is t = 2.77.The p-value is of 0.0039.Since the p-value is less than 0.01, sufficient evidence exists that the length of bolts is actually greater than the mean value at a significance level of 0.01.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 11 cm, that is:
[tex]H_0: \mu = 11[/tex]
At the alternative hypotheses, it is tested if the mean is greater than 11 cm, hence:
[tex]H_1: \mu > 11[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] 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.For this problem, the values of the parameters are given as follows:
[tex]\overline{x} = 11.08, \mu = 11, s = 0.21, n = 53[/tex]
Hence the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{11.08 - 11}{\frac{0.21}{\sqrt{53}}}[/tex]
t = 2.77.
Using a calculator, with t = 2.77 and 53 - 1 = 52 df, the p-value is of 0.0039.
Since the p-value is less than 0.01, sufficient evidence exists that the length of bolts is actually greater than the mean value at a significance level of 0.01.
More can be learned about the t-distribution at https://brainly.com/question/13873630
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Story Problem:
Avery purchased 4 tacos and 2 burritos and her total cost was $21. Sasha purchased 4 tacos and 3 burritos
and her total cost was $26.50. What is the price of one burrito?
Answer:
Step-by-step explanation:
Let tacos be x and burritos be y
So, Avery purchased 4x+2y = 21
Sasha purchased 4x+3y = 26.5
Solving the 2 eqns:
4x+2y=21
-4x-3y=-26.5
-y=-5.5
The cost of one burrito is $5.5
Sharmila had 5/6 portion of the cake. She gave 2/6 portion of the whole cake to
her brother, then how much cake will remain with her?.
Answer:
4/6=2/3
Step-by-step explanation:
2/3 she will still have 2/3 of the cake
According to the graph, how much money is spent on education?
8 million
16 million
12 million
4 million
Answer:
16
Step-by-step explanation:
Maggie is buying movie tickets that cost $9.50 each of her total is 47.50 Before tax how many movie ticket did she purchase
Divide total spent by price per ticket:
47.50 / 9.50 = 5
5 tickets were purchased.
The height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume.
what are zeros of this function?
Answer:
Step-by-step explanation:
The zeros are the values of x for which y = 0. Those are the points where the graph crosses the x-axis.
The graph passes through (0,0), so x=0 is one of the zeros.
The graph passes through the third tick to the right—note it is x=6, not x=3!
x=6 is the other zero.
what is half of 18 !!!
Answer:
9
Step-by-step explanation:
Which line segment is a chord of o C in the diagram below?
O A. AB
O B. DE
O C. BD
O D. AC
Answer:
A. AB
Step-by-step explanation:
line segment AB is a chord.
y/18.5 + 5 = 8 wha is w
Answer:
y or w is 55.5
55.5/18.5 = 3
3+5=8
Step-by-step explanation:
hope that helps...
y= 2x - 1 , y - x = 4
Answer:
x=5 and y=9
Step-by-step explanation:
Sub 1 into 2
2x-1 - x = 4
x= 4+1
x= 5
y= 2(5)-1
y= 10-1
y= 9
In the Special Right Triangle below, solve for the value of x. X = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
Step-by-step explanation:
It's a 30-60-90 triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 90° angle is 12√3, so the side opposite the 30° is (12√3)/2 = 6√3.
The side opposite the 60° angle is (6√3)√3 = 18
x = 18
y = 6√3
Answer:
x = 18
y = 6√3
Step-by-step explanation:
<3
Jessie types at the rate of 3 pages every 20 minutes. Find the time it would take Jessie to type a 12 page essay
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answer:
80 min or 1 hour and 20 minStep-by-step explanation:
3 pages ⇔ 20 min12 pages ⇔ x minCross= multiply and solve for x:
3x = 12*203x = 240x = 240/3x = 80 min = 1 hour and 20 minUse implicit Differentiation to find dy/dx
y/x= x^2+y^2+ln(xy)
Step-by-step explanation:
I don't know plz tell me about that
Among the senior class at a high school, 55% of Ms. Keating’s students plan on majoring in a branch of STEM, while 49% of Ms. Lewis’s students plan on majoring in a branch of STEM. Suppose Ms. Keating chooses 25 of her students at random and Ms. Lewis chooses 23 of her students at random. Since nKpK, nK (1 – pK) and nLpL, nL (1 – pL) are all greater than 10, the Normal condition is met. Let K = the proportion of Ms. Keating’s students from the sample who plan on majoring in a branch of STEM, and let L = the proportion of Ms. Lewis’s students from the sample who plan on majoring in a branch of STEM. What is the probability that the proportion of students who plan on majoring in a branch of STEM is greater for Ms. Keating?
Find the z-table here.
Answer:
0.662
Step-by-step explanation:
Edge
1O POINTS PLS ANSWER ASAP THANKS
Answer:
Step-by-step explanation:
The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62
if you borrow $400 for 3 years at an annual interest rate of 4% how much will you pay altogether?
Answer:
$448
Step-by-step explanation:
Solve the system of equations.
y = 6x + 13
y = 2x + 1
a.
( 5, 3)
c.
( 3, -5)
b.
( -3, -5)
d.
No solution
Please select the best answer from the choices provided
A
B
C
D
Answer:
b.
( -3, -5)
Step-by-step explanation:
6x + 13 = 2x + 1
6x -2x = 1-13
4x = -12
x = -12/4 = -3
y = 6x + 13
y = 6(-3) +13 = -18+13 = -5
(x, y) = (-3,-5)
Which function is shown in the graph below?
On a coordinate plane, an exponential function shows decay. It rapidly decreases into quadrant 1 and approaches y = 1 in quadrant 1.
y = (one-half) Superscript x + 3 Baseline minus 1
y = (one-half) Superscript x minus 3 Baseline + 1
y = (one-half) Superscript x minus 1 Baseline + 3
y = (one-half) Superscript x + 1 Baseline minus 3
Answer:
Option B, y = 2 Superscript x + 2 Baseline + 3
Step-by-step explanation:
I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.
Hope this helps Bye =)
The exponential function is given by [tex]y=(\frac{1}{2})^{x-3} +1[/tex]
Exponential functionAn exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
The exponential function is given by [tex]y=(\frac{1}{2})^{x-3} +1[/tex]
From the point (0, 9):
[tex]y=(\frac{1}{2})^{0-3} +1=9[/tex]
Also at point (3, 2):
[tex]y=(\frac{1}{2})^{3-3} +1=2[/tex]
Find out more on Exponential function at: https://brainly.com/question/12940982
Solve for x to the nearest tenth
Answer:
Using the pythagoras theorem
Let's say the hypotenuse of the first diagram is b
b²=4²+2²
b²=16+4
b²=20
b=✔(20)
In finding x , b will be the opposite and the x be the hypotenuse
x²=(✔20)²+7²
x²=20 +49
x²=69
x=8.31
Can someone help me? I’ll reward points + brainalist
Answer:
Option A is your answer ☺️☺️☺️
sound travels 1,500 m/s through water at 25 degrees celciesunder these conditions how long would it take to travel 300m
Answer: it would take 18,00 M/S
Step-by-step explanation:
First you have to fined the unit rate
1,500/25= 60
Now your gonna do
300x60= 18,00
where is water found in... lithosphere, asthenosphere, the mental, or earths core?
Answer:
Water is stored in the following places: The lithosphere (the solid outer crust and upper mantle). In oceanic crust it is stored within the rock structure which it is composed of and in continental crust it is also found in rocks, minerals, and also in clay and as groundwater.
I say the lithosphere.
Step-by-step explanation:
or it can be
But new research suggests a different origin for the oceans: they simply seeped out of the center of the Earth. The finding, published in Science, suggests that a reservoir of water is hidden in the Earth's mantle, more than 400 miles below the surface.
does 4/6 square yard cover more or less area than 1 square yard.
Answer:
The 4/6 square yard cover less area than 1 square yard.
Step-by-step explanation:
If you simplify [tex]\frac{4}{6}[/tex], it'll equal to [tex]\frac{2}{3}[/tex] which is the same as 0.6 with a bar on top of 6. 0.6 with a bar on top of 6 is less than 1.
The 0.6 with a bar on top of 6 is less than 1.
To compare the given problem.
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. It eliminates useless and disadvantageous (or unnecessary) diversity and variety.
Given that:
Simplify 4/6, it’ll equal to 2/3 which is the same as 0.6 with a bar on top of 6.
0.6 with a bar on top of 6 is less than 1.
So, the 0.6 with a bar on top of 6 is less than 1.
Learn more about simplification here:
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How many ml are there in one L
Answer:
1000
Step-by-step explanation:
Answer:
One lieter contains 1000 ml's
-Consider giving this answer brainliest!Fill in the blanks with a positive or negative Integer
6 ) Sandy has to pay a 12 dollar penalty for driving too fast. ______
7 ) Joan has forty-one orange balloons in her collection. ______
8 ) There are twenty-eight popular trees currently in the park. ______
9 ) Tom has forty-two books in his library. ______
10 ) Nancy found 17 seashells on the beach during her vacation. ______
Answer:
6) -
7) +
8) +
9) +
10) +
Step-by-step explanation:
Which best describes the fraction represented by the
shaded portion of the circle?
O Since 1 of the 6 equal parts is shaded, shaded
portion represents
O Since 1 of the equal parts is shaded and 5 are not
shaded, the shaded portion represents
o Since 5 of the 6 equal parts are unshaded, the
shaded portion represents
O Since 5 of the equal parts are unshaded, the shaded
portion represents
Answer:
where's the shaded circle? I need more information.
Answer:
the fraction is 4/9 and the question is Which best describes the fraction represented by the shaded portion of the diagram?
Since 4 of the 9 equal parts are shaded, the shaded portion represents Four-ninths.
Since 4 equal parts are shaded and 5 are not shaded, the shaded portion represents Four-fifths.
Since 5 of the 9 equal parts are not shaded, the shaded portion represents Five-ninths.
Since 5 of the equal parts are not shaded, the shaded portion represents Five-fifths.
Anyone help please??
Step-by-step explanation:
180-123 = 57 G = 57
6x -1 + 5x +14 +57 = 180
11x = 110
x = 10
H = 6(10) - 1 = 59
Answer:
59°
Step-by-step explanation:
Use the equation:
( 6x - 1 )° + ( 5x + 14 )° = 123°
Combine like terms
6x + 5x = 11x -1 + 14 = 13
New simplified equation:
11x + 13 = 123
Subtract 13 from both sides of the equation
11x + 13 = 123
-13 -13
We are subtracting because the opposite of addition is subtraction and we are using PEMDAS backwards to isolate the variable 'x' on one side of the equation.
Equation now:
11x = 110
Divide both sides of the equation by 11
[tex]\frac{11x}{11}[/tex] = [tex]\frac{110}{11}[/tex]
Solve
x = 10
Solve for the measure of angle H
Plug in the variable
6(10) - 1
60 - 1 = 59
measure of angle H is 59°
HELP OKEAEE HELPE PELASE
Answer:
The y-intercept is 4
Step-by-step explanation:
Suppose someone takes out a home improvement loan for $30000. The annual interest on the loan is 6% and is compounded monthly. The monthly payment is $600. Let a denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month - this means in a given month interest is added first, and then the payment is applied to the resulting loan Balance.
a. Give a recursive definition for a,. including the recurrence relation and the base case.
b. Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month?
Answer:
a) Initial (Base) a[tex]_0[/tex] = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600
Here Initial (Base) a[tex]_0[/tex] = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p
a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p
a[tex]_{n-1}[/tex]( i/100 ) ≤ p
a[tex]_{n-1}[/tex] ≤ p ( 100/i )
a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )
a[tex]_0[/tex] ≤ p (200)
we know that; a[tex]_0[/tex] = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150
need help with this one
Answer:
Step-by-step explanation:
B + 87 +78 +66 = 360
B = 129 °
the angle next to B then is
180 = 129 + b '
51 ° = b '
A + 61 + b ' = 180
A = 68 °