In this case, the critical region will be in the right tail.
To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.
To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.
In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.
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Find the area of sector FIJ. Round to
the nearest tenth.
The area of sector FIJ is 233.4cm².
What is the area of the sector?
The quantity of space included within the sector's perimeter is referred to as the sector's area in a circle. A sector always starts at the circle's center. The area of a circle encompassed between its two radii and the arc next to them is known as the sector of a circle.
Here, we have
Given: FI = 13cm and angle = 160°
The area of a sector is given as
= (θ/360)×π×r²
= (160/360)×π×13²
= 0.44×3.14×13²
= 233.4cm²
Hence, the area of sector FIJ is 233.4cm².
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Which pair of equations corresponds to the two sets of
data in the table?
X
-2
-1
0
1
2
У1
-2
0
2
4
6
Y₂
4
4
4
4
4
Answer:
Step-by-step explanation:
Analise's resting heart rate is 75 beats per minute. When she sleeps, it slows to 60 beats per minute. What percent decrease is this?
Answer:
20% decrease
Step-by-step explanation:
[tex]\frac{75-60}{75}[/tex]
[tex]\frac{15}{75}[/tex] = .2 to make a percent, multiply by 100 = 20%
Write the equation in standard form for the circle passing through (–
8,2) centered at the origin.
The standard form for a circle is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius. Since the radius is not given, we need to plug in the information given. Since the center is at the origin, this is the point (0, 0). Since another point on the circle is (6, 8), that is the (x, y) value. So let's plug it into the equation:
(8 - 0)2 + (8 - 0)2 = r2 --> 82 + 82 = r2 --> 100 = r2 --> 10 = r.
Since r = 10 and the center is (0, 0), the standard form equation of this circle is (x - 0)2 + (y - 0)2 = 102 or just x2 + y2 = 100.
What is radius?In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius, meaning ray but also the spoke of a chariot wheel.A radius is a straight line from the center of a circle to the circumference of a circle. The distance from the center point to any endpoint on the circle.To learn more about radius refer to:
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100pts. Need Answer ASAP
Use the Substitution method, jan is solving the system of equations.
A. 3(−3x + 2) − 2x= −24
B. 3(−3x - 2) − 2x= −24
C. 3x − 2(−3x + 2)= −24
D. 3x − 2(−3x − 2)= −24
62/87,21
y = x + 5
3x + y = 25
Substitute x + 5 for y in the second equation.
Substitute the solution for x into either equation to find y.
The solution is (5, 10).
Please help me. I don't want to get the answer wrong
Answer:
photo?
Step-by-step explanation:
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
Find the values of x and y
Answer:
x = 20
y = 70
Step-by-step explanation:
It's rather difficult to explain since nothing is labeled but those are the answers
how to simplify this equation
Answer:
25x^2√(2x)
Step-by-step explanation:
2√(50x^5) + 5x√(18x^3) =
2√((2*25) * x^(4+1)) + 5x√((2*9) * x^(2+1)) =
2√(2 * 5^2 * x^4 * x^1) + 5x√(2 * 3^2 * x^2 * x^1) =
5*2√(2 * 1 * x^(2^2) * x) + 3*5x√(2 * 1 * x^2 * x) =
10√(2 * x^(2^2) * x) + 15*x*x√(2 * 1 * x) =
10√(2x * (x^2)^2) + 15*x^2√(2x) =
10x^2√(2x) + 15x^2√(2x) = 25x^2√(2x)
scientific notation is used to keep track of very small and vary large numbers during mathematical calculations. truefalse
It is true that very small and very large and small numbers can be expressed in terms of scientific notation.
What is Scientific Notation ?Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.
The general for of scientific notation is
In scientific notation, all numbers are written in the general form as
N × [tex]10^{m}[/tex]
N times ten raised to the power of m, where the exponent m is an integer, and the coefficient N is any real number. The integer m is called the order of magnitude and the real number N is called the significand.
The digit term in the scientific notation indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example,
4660000 = 4.66 x 106
This number only has 3 significant figures. The zeros are not important, they are just placeholders. As another example,
0.00053 = 5.3 x 10-4
This number has 2 significant figures. The zeros are only placeholders.
Scientific Notation Rules:
While writing the numbers in the scientific notation we have to follow certain rules they are as follows:
The scientific notations are written in two parts one is the just the digits, with the decimal point placed after the first digit, followed by multiplication with 10 to a power number of decimal point that puts the decimal point where it should be.
If the given number is greater than 1 and multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive
Example: Scientific notation for 8000 will be 8 × 103.
If the given number is smaller than 1 means in the form of decimal numbers, then the decimal point has to move to the right, and the power of 10 will be negative.
Example: Scientific notation for 0.008 will be 8 × 0.001 or 8 × 10-3.
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4. Which of the following expressions has a
leading coefficient of -2
a. -2x^2+4x-8x^3
b. X-2
c. 3x^-2+6x+1
d. -2x^4+3x-10
e. -2x-3x^2
Answer:
Step-by-step explanation:
d
Given △
△
M
T
S
and △
△
S
Q
P
, find SP.
Answer:
22
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]
PLEASE HELP!
P(x)=x^3 - 4x^2 - 1
Where P is in hundreds of dollars and x is the number of years elapsed since the start up year
Answer:
Yes, the company will break even at some point in time
Step-by-step explanation:
I am not sure what methodology your teacher has been using. I am going to provide a simple methodology
The polynomial function for profit isTherefore the company will break-even at some point
Other Notes
You can also solve for the roots of the polynomial and see how many real roots are there. In this case there is one real root at [tex]x\approx \:4.0606[/tex]. But that is a lot of workAnother way to approach this problem is to simply graph the function and see if it crosses the x axis. I have provided the graph of this function and you can see that it does cross the x-axis at [tex]x = 4.06[/tex]I hope that helps you
A new streaming service sent out a survey to 350 households to see who would be interested in its service. The company found that it could charge $55 per month, with a margin of error of ±1.3. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?
$52,815
$53,700
$54,915
$56,300
Answer:
B) $53700-------------------------------------
The charge of $55 with error margin of ± 1.3 results in the least value of $(55 - 1.3) = $53.7 and greatest value of $(55 + 1.3) = $56.3.
If 1000 people signed up for the service, then the least total amount is:
$53.7*1000 = $53700Correct choice is B.
Marta walked at 2.9 miles per hour for 0.52 hours. How far did she walk?
Answer:
She walked 1.508 miles
Step-by-step explanation:
In 1 hour, Marta can walk 2.9 miles
In 0.52 hours, she can walk 2.9 x 0.52 = 1.508 miles
PLEASE HELP!!!!!!!!
Given 2 and one-eighth times negative 7 times five tenths, determine the product.
negative fourteen and five eightieths
negative 7 and seven sixteenths
fourteen and five fortieths
7 and one eighth
Answer:
Negative seven and seven sixteenths
Step-by-step explanation:
2⅛ x (-7) x 5/10
= 17/8 x (-7) x 1/2
= - 119/16
= - 7 7/16
flight of a rocket the altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)
the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot) with time.
To find the maximum altitude attained by the rocket, we need to find the vertex of the function h(t). We can do this by taking the derivative of the function and setting it equal to 0.
h'(t) = -32t + 300
Setting h'(t) = 0, we get
-32t + 300 = 0
32t = 300
t = 300/32
hence the time t ≈ 9.375
Now, we can substitute the value of t in the original equation h(t) to get the maximum altitude attained by the rocket.
h(9.375) = -16(9.375)2 + 300(9.375)
h(9.375) = 300 ft
Therefore, the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot).
The complete question is :
flight of a rocket the altitude in feet attained by a model rocket t time seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)= -16t2 + 300t
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In kite wxyz , m∠zwy=43° and m∠xyw=12° . what is m∠wxy ? enter your answer in the box. m∠wxy = °
In kite wxyz where m∠zwy=43° and m∠xyw=12°, m∠wxy = 125°
Therefore the answer is 125.
A kite is a quadrilateral with pair of two adjacent equal sides. In the given kite wxyz, adjacent sides wx = wz and zy = xy
Here, from the figure it is evident that Δwyz is congruent to Δwyx as wx = wz, xy = zy and wy as common side by SSS congruent criteria. Thus
m∠xwy = m∠zwy = 43°
Now considering Δxwy, m∠xwy + m∠xyw + m∠wxy = 180° by angle sum property of triangle. Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. Therefore,
m∠wxy = 180° - m∠xwy - m∠xyw
= 180° - 43° - 12°
= 125°
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A sightseeing tour bus can carry 72 people. If 420 people want to go sightseeing on the bus, what is the minimum number of trips the bus will have to make for everyone to go sightseeing?
4
7
6
5
The solution is Option D.
The minimum number of trips of buses to carry 420 people is 5 trips
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given as
The number of people the tour bus can carry = 72 people
The total number of people who want to go sightseeing = 420 people
So , the equation will be
The number of trips of bus to carry 420 people = total number of people who want to go sightseeing / number of people the tour bus can carry
Substituting the values in the equation , we get
The number of trips of bus to carry 420 people = 420/72
The number of trips of bus to carry 420 people = 5.8
The number of trips of bus to carry 420 people = 5 buses
Therefore , the minimum number of buses is 5 buses
Hence , The minimum number of trips of buses to carry 420 people is 5 trips
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Usually Cassandra tap dances 1 7/8 hours a day. Today she reduced this time by half. For how long did she tap dance today?
Answer: 15/16 hour
Step-by-step explanation:
Proportions
Lily planted 8 zucchini plants and got 50
zucchinis. Next year she intends on planting
20 zucchini plants. How big will her harvest
be?
29
A 125
B 145
C 75
D 95
Answer:
a) 125
Step-by-step explanation:
[tex]\frac{8}{50}[/tex] = [tex]\frac{20}{x}[/tex] Cross multiply and solve for x
8x = 1000 Divide both sides by 8
[tex]\frac{8x}{8}[/tex] = [tex]\frac{1000}{8}[/tex]
x = 125
how to simpify 2,400/100
Answer:
24/1
Step-by-step explanation:
[tex] \frac{2400}{ \\ 100} [/tex]
and u get 24/1
3y= -6x+1. Find the value of y.
[tex]3y= -6x+1[/tex] for y
Divide both sides by 3:
[tex]\dfrac{3y}{3} =\dfrac{-6x+1}{3}[/tex]
[tex]\fbox{y = $-2x+\dfrac{1}{3} $}[/tex]
What is life? Ok answer me that I'm okay just answer the question
The required life is any living thing that has the property to be born, grow and end of the life cycle is life.
What are living beings?Any object that has characteristics of life is called living a being.
Here,
Life can be defined as the ability for growth, response to encouragements, metabolism, energy vitality and reproduction are characteristics that set life apart from matter that lacks biological activities, such as signaling and self-sustaining processes.
Thus, the required life is any living thing that has the property to be born, grow and end the life cycle is life.
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Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)
Answer:
equilateral
Step-by-step explanation:
You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.
AnglesOn the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.
When we apply the angle sum theorem, we find ...
(2x)° +(2x)° +(3x -30)° = 180°
7x -30 = 180
7x = 210
x = 30
2x = 2(30) = 60
3x -30 = 3(30) -30 = 60
All of the angles have the same measure, 60°, so the triangle is equilateral.
Answer:
3 equal angles = equilateral triangle
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
2x + 2x + 3x - 30 = 180
7x = 210
x = 210 : 7
x = 30
find angle Y & Z2 x 30 = 60°
find angle x3 x 30 - 30 = 60
3 equal angles = equilateral triangle
please solve for x
5x+10y=25
[tex]5x+10y=25[/tex]
Add -10y to both sides:
[tex]5x+10y+-10y=25+-10y[/tex]
[tex]5x=-10y+25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{-10y+25}{5}[/tex]
[tex]\fbox{y = -2y + 5}[/tex]
What is the average rate of change for the function over the interval [-6,-4]
Answer:20
Step-by-step explanation:
7
a-4
a - 4
||
|
14
6
Are these 2 equivalent.
The equations a + 4 = 14 and a = 6 - 4 are not equivalent.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
From the information, a - 4 = 14
Therefore a = 14 + 4
a = 18.
a + 4 = 6
a = 6 - 4.
a = 2
They are not equivalent.
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a - 4 = 14
a + 4 = 6
Are these 2 equivalent.
identify the measure of angle X:
Since the line is linear, the sum of the angles should be 180 degrees
x + 28 + 73 = 180
x = 180 - 28 - 73
x = 79 degrees
Hope this helped :)
Please help! Multiple GEO post
The exterior angle y of the triangle is 60 degrees.
How to find the angle of a triangle?The sum of angles in a triangle is 180 degrees. The external angle y of the triangle can be found using exterior angle theorem.
Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence, using the exterior angle theorem,
y = 35 + 25
y = 60 degrees.
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