Answer:
-6x-5
Step-by-step explanation:
(2x - 3)2 + 5(3 - 2x) - 14
Distribute
2x*2 -3*2 +5*3 -5*2x -14
4x -6 +15 -10x -14
Combine like terms
4x -10x -6 +15-14
-6x -5
Peter is the owner of a hardware supply shop. He has hired you to check his machines calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?
Answer:If we compare the p value and the significance level assumed we see thatso we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the true mean is not different from the specification at 1% of signficance.
Step-by-step explanation:
The machine is working properly based on the convincing evidence provided by the sample.
How to calculate the test statistics.For the null hypothesis, we would test that:
H0 : p = 2
For the alternate hypothesis, we would test that:
Ha > p = 2
In Mathematics, the test statistics of a given sample is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the sample size.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{2.024\;-\;2}{\frac{0.205}{\sqrt{200} } }\\\\Z=\frac{0.024}{\frac{0.205}{14.14} }\\\\Z=\frac{0.024}{0.0145 }[/tex]
Z = 1.66.
For the p-value:
P(Z > Zo) = P(Z > 1.66)
P(Z > 1.66) = P(Z < -1.66)
P(Z < -1.66) = 0.0485.
From the z-table, a z-score of 1.66 corresponds has a p-value of 0.0485. Therefore, the p-value for this test is 0.0485 < 2 while assuming a confidence level of 95%.
In conclusion, we fail to reject the null hypothesis because 0.0485 < 2.
Read more on null hypothesis here: https://brainly.com/question/14913351
What is the area of the triangle in the diagram?
theres no diagram given
Please help me with this
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second
You have 2 spreads, 5 meats, and 2 kinds of bread. How many different sandwiches can you make using one of each type of ingredient?
A) 9
B) 12
C) 20
D) 40
Answer:
C)
Step-by-step explanation:
Which one shows the closest distance that the tip of the hand travels from 12 to 4
Answer:
if you want the answer us photo math I think !
How can I do this dudhhehrhr
Answer:
the answer is 30
Step-by-step explanation:
(6+4) * 3
Do what is in the parenthesis!
(6+4) = 10
Then do the *3
10*3 = 30!
Hope this help! Goodluck!
A square pyramid is shown below.
Which shapes could be formed by slicing the square pyramid by a plane? Select all that apply.
A. circle
B. triangle
C. rectangle
D. trapezoid
E. square
Answer:
B and e
Step-by-step explanation:
The shape is a square.
What is a Square Pyramid?'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
Learn more about square pyramid here: https://brainly.com/question/27350043
#SPJ2
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.
Answer:
any how there are three consecutive positive numbers
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a standard deviation of 71,564 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 782,238 gallons. What is the probability of experiencing such a drop in water pressure
Answer:
0.0001
Step-by-step explanation:
The computation of the probability of experiencing such a drop in water pressure is shown below:
Given that
mean = 519,645 gallons
Standard deviation = 71,564 gallons
Now the probability is
= 1 - p (x - mean ÷ standard deviation < 782,238 - 519,645 ÷ 71,564)
= 1 - p(z<3.67)
= 1 - 0.9999
= 0.0001
Functions:
In image 1: Evaluate the functions
In image 2: Given the functions, find their inverse, if possible and if not possible, redefine Domain or Range
Answer:
Image 11. x = 4
f(4) = (- 3*4 + 1) / 6 = -11/62. x = -2/3
f(-2/3) = -3*(-2/3) + 10 = 2 + 10 = 123. x = -5
f(-5) = [tex]\sqrt{-(-5)/20}[/tex] = [tex]\sqrt{5/20}[/tex] = [tex]\sqrt{1/4}[/tex] = 1/2Image 2To work out the inverse, substitute f(x) with x and x with y, then solve for y. The new function is the inverse of the given.1. f(x) = 5x + 3
x = 5y + 3 ⇒ 5y = x - 3 ⇒ y = (x - 3)/5f⁻¹(x) = (x - 3)/52. f(x) = 4/5x
x = 4/5y ⇒ y = 5/4xf⁻¹(x) = 5/4x3. f(x) = (2x + 7)/4
x = (2y + 7)/4 ⇒ 2y + 7 = 4x ⇒ 2y = 4x - 7 ⇒ y = 2x - 3.5f⁻¹(x) = 2x - 3.54. f(x) = (2x + 7) /(x + 3) = 2 + 1/(x + 3)
x = 2 + 1/(y + 3) ⇒ x - 2 = 1/(y + 3) ⇒ y + 3 = 1/(x - 2) ⇒ y = (1 - 3x + 6)/(x - 2) ⇒ y = (7 - 3x)/(x - 2)f⁻¹(x) = (7 - 3x)/(x - 2)5. f(x) = [tex]\sqrt{x - 4}[/tex]
x = [tex]\sqrt{y - 4}[/tex] ⇒ x² = y - 4 ⇒ y = x² + 4f⁻¹(x) = x² + 4
The car owned by a person is part of his or her
a. investment assets
b. liquid assets
C. long term assets
d. use assets
Please select the best answer from the choices provided
what's the following rotational symmetries of oranges regular hexagon
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics
you roll a fair 6 sided dice twice. what is the probability of rolling a 2 the first time and a number greater then 1 the second time?
Answer:
5/6
Step-by-step explanation:
Because there are 6 sides, and it's saying we need a greater number than 1. And there are 5 other numbers.
Which set of points on the graph represents equivalent ratios?
70
60
F
50
40
30
.
20
10
1
2 3
4
5
6 7
Х
points C, D, and F
O points B, C, and D
points B, C, and F
O points A, C, and D
Ο Ο Ο
Answer:
C or otherwise BCD
Step-by-step explanation:
right on edge
Wayne plans to make a nut mixture in the weight ratio 1:2:5, containing cashows, almonds, and pecans, respectively. Which situation represents the function f() = 2p?
O the number of pounds of almonds Wayne needs, if he plans to use p pounds of cashews
O the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds
O the number of pounds of almonds Wayne needs, if he plans to use p pounds of pecans
O the number of pounds of pecans Wayne needs, if he plans to use p pounds of almonds
Answer:
the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds
Step-by-step explanation:
Ration of Almonds:cashows = 1:2
Almonds/cashows = 1/2
2Almonds = cashows
f() = 2p <--> cashows = 2Almonds
As a result, the function represents the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds
help plsssss importantt...............
Can somebody help me
Answer:
still stuck but when i get the correct answer i will tell u
Step-by-step explanation:
d or b
8 Jacob wrote the expression shown.
10:5+ 4(72-6)
What do these parentheses indicate in the expression?
F.Divide 10 by 5 before adding 4
G.Multiply 4 by 72 before subtracting 6
H.Add 5 and 4 together before subtracting 6 from 72
J.Subtract 6 from 72 before multiplying by 4
You can download answer here
tinyurl.com/wpazsebu
Calculate the number of fluid ounces in 7 cups.
2) Find the area. * 12 ft 12 ft
Answer:
the answer is 144
Step-by-step explanation:
just multiply 12 by 12.
Answer:
144 ft.
Step-by-step explanation:
It is 12 x 12 which is 144 so it is 144 ft.
Find the value of the triangle h=?
Answer:
h = 7.61 ftStep-by-step explanation:
area = 29 ft²
area = 1/2 × h × h
29 ft² = 1/2 × h × h
29 × 2 = h²
58 = h²
√58 = h
7.61 ft = h
can you help me with 1 - 4
Me das mas información porfavor?
Here is a cuboid,
80 cm
30 cm
30 cm
Work out the total surface area of this cuboid.
(4)
Length = 80
Breadth = 30
Height = 30
Total surface area of a cuboid is=
2 ( lb + bh + hl )
Putting the values in the formula,
We get,
= 2 [ (80 x 30) + (30 x 30) + (30 x 80)]
= 2 (2400 + 900 + 2400)
= 8100 cm²
THANK YOU!!
∝ Sidhdi
Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?
Answer:
[tex]H'I = 48[/tex]
Step-by-step explanation:
Given
See attachment for complete question.
From the attachment, we have:
[tex]GH=16.5[/tex]
[tex]HI =24[/tex]
[tex]IJ = 17[/tex]
[tex]JG =32.2[/tex]
[tex]k = 2[/tex] --- Scale factor
Required
Find H'I
The corresponding side of H'I is HI.
So:
H'I is calculated as:
[tex]H'I = k * HI[/tex]
This gives:
[tex]H'I = 2 * 24[/tex]
[tex]H'I = 48[/tex]
Answer I to j is 42
Step-by-step explanation:
20% of __ = 18 Please help me Thank you Sooo Much
Answer: 20% of 90 = 18
Answer:
90%
Step-by-step explanation:
i hope this helps:)
How was Franklin D. Roosevelt a lasting impact even on today's society
Answer:
Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.
Step-by-step explanation:
to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.
Select the statement(s) that is true:
a. 8 + 4 = 4( 2+ 1)
b. 2( 5 + 7) = 10+ 14
c. 8(7) = 8 ( 5+2)
d. 8 (7) = 8 ( 6 + 1)
Answer:
Use photo math, it will tell you it they are true or not
Answer: B & C & D if you look at it, it going to be the same answer.
1. B is 5+7=12 2x12=24 and 10+14=24
2. C is 8x7=56 and 5+2=7 that is 7x8=5
3. D is 8x7=56 and 6+1=7 8x7=56
So all three of that is true because it the same answer. Hope you understand
Step-by-step explanation: Hope this help :D
3(6x)-8x = -2+5 (2x+1)
Answer:
x = 3
Step-by-step explanation:
So you will distribute the number beside the ( )
so the equation be looking like :
18x - 8x = 10x + 5 - 2
now combine like terms
18x - 8x = 10x
5 - 2 = 3
10x = 10x +3
now subtract 10x to the other side they cross off
leaving x = 3
and so that's your answer
hope this helps
Answer:
this question is wrong i think
the measures of the angles of a triangle are shown below. solve for x
Step-by-step explanation:
60°+(7x-12)°+90° = 180°. (angle sum property of triangle)
(7x-12) + 150° = 180°
(7x-12) = 180° - 150°
7x-12 = 30°
7x = 30 + 12
7x = 42°
x = 42°/7
x = 6°
the first one help please asap, i will mark as brainliest
Answer:
They originally paid $28,750
Source:
Trust me bro, I used a calculator
59,000-1500= 57,500/2=28,750