When we reject the null and the null is true, we have a made a type I error
The null hypothesis in statistics states that there is no difference between groups or no relationship between variables. It is one of two mutually exclusive hypotheses about a population in a hypothesis test.
null hypothesis is denoted as H₀
Reject the null hypothesis when the p-value is less than or equal to your significance level. Your sample data favor the alternative hypothesis, which suggests that the effect exists in the population. When you can reject the null hypothesis, your results are statistically significant.
when the p-value is greater than your significance level, you fail to reject the null hypothesis.
Sometimes , we reject our null hypothesis even when its true
there we made a type I error in hypothesis
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Solve the equation
2x^3-4x^2-96x=-8x^2
Answer:
x = 6 or x = 0 or x = -8
Step-by-step explanation:
Solve for x over the real numbers:
2 x^3 - 4 x^2 - 96 x = -8 x^2
Add 8 x^2 to both sides:
2 x^3 + 4 x^2 - 96 x = 0
The left-hand side factors into a product with four terms:
2 x (x - 6) (x + 8) = 0
Divide both sides by 2:
x (x - 6) (x + 8) = 0
Split into three equations:
x - 6 = 0 or x = 0 or x + 8 = 0
Add 6 to both sides:
x = 6 or x = 0 or x + 8 = 0
Subtract 8 from both sides:
Answer: x = 6 or x = 0 or x = -8
I need help with these two questions!
Question 1
C. Congruent by ASA.
Question 2
The reason is 'definition of isosceles triangle'.
Expand and simplify (2x + 1)(x-2)(x + 3)
Optional working
+
Answer
+
Answer:2x^3+3x^2-11x-6
Step-by-step explanation:
An ice cube is freezing in such a way that the side length s, in inches, is s of t equals one half times t plus 2 comma where t is in hours. The surface area of the ice cube is the function A(s) = 6s2.
Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points)
Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points)
Part C: After how many hours will the surface area equal 216 square inches? Show all necessary calculations, and check for extraneous solutions. (4 points)
a) The equation for the volume of the cube after t hours is of: V(t) = (0.5t + 2)³.
b) The equation for the surface area of the cube after t hours is of: S(t) = 6(0.5t + 2)².
c) The surface area will be of 216 in² after 8 hours.
How to obtain the volume and the surface area of a cube?Considering a cube of side length s, the surface area and the volume are given as follows:
Surface Area: S(s) = 6s².Volume: V(s) = s³.In this problem, the side length is a function of the time, as follows:
s(t) = 0.5t + 2.
Hence the equations are given as follows:
Surface Area: S(t) = 6(0.5t + 2)².Volume: V(t) = (0.5t + 2)³.The surface area will be of 216 in³ when:
6(0.5t + 2)² = 216
(0.5t + 2)² = 216/6
(0.5t + 2)² = 36.
Taking the square root from both sides, the time is given as follows:
0.5t + 2 = 6
0.5t = 4
t = 4/0.5
t = 8 hours.
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9x - 7 = -7
Solve For X
Answer:
the answer to this should be no solution
Step-by-step explanation:
the first step would be adding seven to both sides, but all that does is leave a zero on the other side, so the equation ends up being 9x=0.
The value of x in the expression is 0.
We have,
Expression: 9x - 7 = -7
To solve for x.
Add 7 on both sides.
9x - 7 + 7 = -7 + 7
9x = 0
x = 0
Thus,
The value of x in the expression is 0.
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Julius operates an athletic apparel stor. His records indicate that he had sales of 97,000. Customer return $ 2000 worth of clothing and shoes because of various reason. His cost of good sold was $ 25,000. What is Julius schedule c ( form) gross profit
Julius's Schedule C gross profit is $72,000
($97,000 sales - $2,000 returns - $25,000 cost of goods sold = $70,000 gross profit).
What does the profit actually mean?income from trade or business after covering the costs of generating and disbursing goods and services: Selling scraps to textile businesses brings her a sizable profit.
The purpose of profit calculationA business's primary goal should be to earn a profit. Understanding where your business is producing money and where you are spending it can help you assess your level of success. Calculating your profit can also provide you this information.
What does profit math look like?Income less all costs. As an illustration, Sam's Bakery collected $900 yesterday, but its expenses, including salaries, food, and power, were $650. Profit was therefore $900 divided by $650 to equal $250.
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The sum of the 12th square number and the 4th cube number is:
Answer:
144 + 64 =208
Step-by-step explanation:
you see the 12th square number is 12 × 12 which is 144 then the 4th cube number is 4 × 4 ×4 make it 64 and the sum of all of this is 204
Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.
R′(x) = 0.06x^2 − 0.05x + 138
The demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.
Define Marginal revenue
Marginal revenue is a central concept in microeconomics that describes the additional total revenue generated by increasing product sales by 1 unit.
Given expression is,
R′(x) = 0.06x² − 0.05x + 138
To make R'(x) to R(x) just integrate R'(x),
R(x) = ∫ R'(x) dx
= ∫ (0.06x² − 0.05x + 138) dx
= 0.06x³/3 − 0.05x²/2 + 138 x + C
We get, R(x) = 0.02x³ − 0.025x² + 138 x + C
It's given, the revenue is 0 means no items sold so R(0) = 0.
Now, put x = 0 and find C
R(0) = 0.02(0)³ − 0.025(0)² + 138 (0) + C
0 = 0 + C
C = 0
So, R(x) = 0.02x³ − 0.025x² + 138 x, since C = 0
Now, take x common from R(x) will give us,
R(x) = x( 0.02x² − 0.025x + 138 )
so, R(x) = x p(x)
so, p(x) = 0.02x² − 0.025x + 138
Hence, the demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.
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375 ÷ 3 = n. what do you guys think it is answers?????
Answer:125=n
Step-by-step explanation: 375 divided by 3 is 125
Need help on b please
Answer:
As the age of your car increases the value of that car decreases
Step-by-step explanation:
hope this helps
y = x + 2 on a graph with the solution
here's your answer hope it helps :D
A group consisting of 35 aggressive zombies quadruples in size every hour. Which
equation matches the number of zombies after 7 hours?
OZ = 4(35)7
OZ = 35(1+4)7
OZ = 35(4)7
OZ=35(4) (4)(4)
Submit Answer
Answer: Z=35(4)^7
Step-by-step explanation:b = multiplier = 4b = multiplier = 4a = starting amount = 35a = starting amount = 35t = time = 7 hourst = time = 7 hours. a⋅b^t
35(4)735(4)7Equivalent forms:Equivalent forms:35(4)(4)(4)(4)(4)(4)(4)35(4)(4)(4)(4)(4)(4)(4)
What is the numerator of the simplified sum?
StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
Therefore, the numerator of the given equation comes out to be 4x+6
what is fraction?A fraction denotes a component of a whole or, more generally, any number of equal parts. In conversational English, a fraction, such as one-half, eight-fifths, or three-quarters, denotes the quantity of a specific size of portions.
Given
[tex]\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}[/tex]
A common denominator must exist for the fractions before we can add them.
Factor the denominator of the first fraction
[tex]\frac{x}{(x+1) (x+2)} + \frac{3}{x+1}[/tex]
Subtract (x + 2) from the second fraction's numerator and denominator.
[tex]\frac{x}{(x+1) (x+2)} + \frac{3(x+2)}{(x+2)(x+1)}[/tex] ← Currently, fractions share a common denominator.
Add the numerators leaving the denominators
= [tex]\frac{(x+2)(x+3)}{(x+2)(x+1)}[/tex]
= [tex]\frac{x^{2} +3x+6}{(x+2)(x+1)}[/tex]
= [tex]\frac{4x+6}{(x+2)(x+1)}[/tex]
simplified sum with numerator 4x + 6
Therefore the numerator of the given equation comes out to be 4x+6.
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Suppose trains leave from New York for Atlanta every 20 minutes starting at 1 a.m., and trains leave Atlanta for New York every 30 minutes starting at 1:10 a.m. If it takes each train 10 hours to travel from one city to the other, how many trains traveling from Atlanta to New York are passed by the train that leaves New York at 1 p.m. and arrives in Atlanta at 11 pm?
The trains leaving atlanta for new york every 30 minutes....it takes 10 hours so there is 20 trains on the track when YOUR
NY to ATL train leaves......during the 10 hour trip ANOTHER 20 trains will launch from ATL going to NY
so you will pass 40 trains that are going from ATL to NY while you are travelling to ATL
This assumes that the trains go every 30 minutes around the clock.
If they do not go around the clock , you will only pass trains that launch for the 10 hours after your departure from NY
that would be 20 trains
What are the other two factors of this polynomial x^3-4x^2-17x+60x-3
The factors of y =x³-4x²-17x+60x are (x−3), (x−5) and (x+4)
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Given:
y =x³-4x²-17x+60x
Let us assume that the factors are
(x−a), (x−b) and (x- c)
So, if x is either equal to a or b or c, y=0
and a⋅ b⋅ c=−60, which means a or b and c are factors of 60.
Thus, which factor of 60 (such as 2, 3, 5, 6, 10 etc.) makes y=0.
It is given that (x−3) is a factor of y
and, When we divide y by (x−3), we get x²−x−20
Similarly x=5 makes x²−x−20 equal and Dividing x2−x−20 by (x−5), we get (x+4)
Hence, the factors of y =x³-4x²-17x+60x are (x−3), (x−5) and (x+4)
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what is 7 8/11 rounded to the nearest tenth
The provided mixed fraction (7 8/11) will have a decimal value of 7.7.
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
Here,
7 8/11=(7*11+8)/11
=85/11
=7.7
The value of the given mixed fraction 7 8/11 will be 7.7 in the decimal format.
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17.
DEFG is a square. Find DG.
Answer:
DG = √[tex]2x^{2}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] + [tex]x^{2}[/tex] = 2[tex]x^{2}[/tex]
DG = √[tex]2x^{2}[/tex]
Rony spent 20% of his salary on a wallet. He bought a bag which cost $20 more than the wallet. He also bought a pair of shoes. The ratio of the cost of the wallet to the cost of the pair of shoes was 5:6. He then had $844 left.
(a) What was his monthly salary?
(b) Express the amount of money he spent on the pair of shoes as a fraction of his monthly salary in its simplest form.
The 20% Tony spends from his monthly salary on the wallet, the bag which cost $20 more than the wallet and the ratio of the wallet to shoe cost of 5:6, which expressed as a fraction is 5/6, indicates;
(a) Tony's monthly salary is $2,400
(b) The amount spent on the pair of shoes is (6/25) of his monthly salary
What is a fraction?A fraction is a part of a whole item, expressed as a quotient.
Let x represent Tony's salary, from the details of the question, we get;
The amount Tony spent on the wallet = 20% of his salary
The cost of the bag Tony bought = $20 + The cost of the wallet
Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6
The amount Tony had left = $844
Therefore;
The amount Tony spent on the wallet = 20% of x = 0.2·x
Amount spent on the bag = 20 + 0.2·x
Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6
Therefore;
Cost of the pair of shoes = (6/5)×(0.2·x)
Therefore;
x - 0.2·x - (20 + 0.2·x) - (6/5) ×(0.2·x) = 844
0.36·x - 20 = 844
x = (844 + 20)/0.36 = 2400
Tony's monthly salary, x = $2400(b) The amount Tony spends on the pair of shoes = (6/5) × (0.2·x)
(6/5) × (0.2·x) = (6/5) × (2/10) × x = (12/50)·x = (6/25)·x
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lucia flips a coin three times. what is the probability that she gets head-tail-head, in that order? express your answer as a common fraction.
The probability that Lucia receives (Head, Tail, Head) within this order is 1/8.
Describe the term probability?The probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages extending between 0% to 100% can be used to describe probabilities.A coin toss has a total of two possible outcomes.
Three coin flips have a total of eight outcomes possible: 2 x 2 x 2 = 8
Positive result = (Head, tail, Head) in that sequence
i.e., 1 is the number of favourable results.
As we well aware,
Probability = favourable outcome / total outcome
The needed probability follows as a result.
Probability (first head) = 1/2
Probability (second tail) = 1/2
Probability (third head) = 1/2
Thus,
Probability(Head, tail, Head) = 1/2 x 1/2 x 1/2
Probability (Head, tail, Head) = 1/8
Consequently, the likelihood that she receives (Head, Tail, Head) within this order is 1/8.
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The average speed of a ship for the first hour of a journey is 32 km/hr.Its average speed for the next 2 hours is 41 km/hr.Find its average speed for the whole journey.
The average speed for the whole journey is 24.3 km per hour.
What is the average speed for the whole journey?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
It should be noted that:
Speed = Distance / Time
Distance = 32km + 41km
= 73km
Time = 1 hour + 2 hours
Time = 3 hours
Speed = Distance / Time
Speed = 73 / 3
Speed = 24.3 km per hour.
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A fox can run at a peed of 10 kmph, and a wolf can run at a peed of 11 mph. Which animal i fater?
If fox run at speed of 10 kmph and wolf run at 11 mph , then the animal that runs faster is wolf .
In the question ,
it is given that ,
the speed at which the fox runs is = 10 kmph
the speed at which the wolf runs is = 11mph ,
for comparison , the units should be same ,
So , we need to convert 11 mph to kmph .
we know that , 1 mile per hour = 1.60934 kmph ,
So , 11 mph = 17.7028 kmph .
So , the speed at which the wolf runs is = 17.7028 kmph .
On comparison , we get that speed of wolf is greater than speed of fox .
Therefore , wolf runs faster than fox .
The given question is incomplete , the complete question is
A fox can run at a speed of 10 kmph, and a wolf can run at a speed of 11 mph. Which animal is faster ?
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Answer: the Answer is wolf
Step-by-step explanation:
the wolf can peed so it is fater
A houe on the market wa valued at 376,000. After everal year, the value decreaed by 9%. By how much did the houe value decreae in dollar. What i the current value of the houe?
The house value is decreased by $33840 and the current value of the house is $342160
Here, we have been given a house on the market was valued at $376,000.
The value decreased by 9% .
We need to find the amount by which the house value decreased in dollar and the current value of the house.
The 9 percent of $376,000
376,000 * (9/100) = 33840
This means, the house value is decreased by $33840
So, the current value would be,
376,000 - 33840 = 342160
Therefore, the house value is decreased by $33840.
The current value = $342160
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Use the 2016 marginal tax rates to compute the income tax owed by the following person. Single male, no dependents. Gross income: $88,000 Adjustments: $2000 Deductions:$27,000 mortgage interest $4036 property taxes $2000 charitable contributions
The taxable income in marginal tax rates for 2016 is $44964.
What is marginal tax rate?
The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.Gross income = $88000
Adjustments = $2000
Deductions interest = $27000
Property taxes = $4036
Charitable contribution = $2000
Taxable income = 88000 - (2000 + 27000 + 4036 + 2000)
= 88000 - 35036
= 44964
Hence, the taxable income in marginal tax rates for 2016 is $44964.
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hey i would appreciate it if someone could help
Answer:
x^3y^2√xy
Step-by-step explanation:
First, you calculate what's in the square root. x^2 becomes x and y^4 becomes y^2.
Then you distribute the 1/2 to the x^5 and the y so they become x^5/2 and y^1/2.
Next, you combine the like terms. x and x^5/2 becomes x^7/2. y^2 and y^1/2 become y^5/2.
So you have x^7/2 y^5/2
To get rid of the 2 on the bottom of the exponents you square root both variables.
So you get √x^7 y^5 (square rooted x^7 and y^5)
Simplify the square rooted problem to x^3 y^2 √xy
You get x to the third power y to the second power and square rooted xy.
How do I do this question about angles in circles
omar had 5/7 acres of land. He planted 5/6 of this land with corn. How many acres did he plant with corn
Answer: He planted 5/42 acres
Step-by-step explanation:
First, find the common of 7 and 6, which is 42
5/7 - 5/6
= 30/42 - 35/42
= -5/42
What is StartFraction 2 tangent (10 degrees) Over 1 minus tangent squared (10 degrees) EndFraction expressed as a single trigonometric ratio?
As a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree
What is Trigonometric Ratios ?
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions.
The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
The expression given is
(2tan(10 degrees))/(1 - tan² (10 degrees))
By the property of Tan 2x
Tan 2x = 2tanx /(1 - tan² x)
Therefore from the formula ,
x = 10 in the given expression
Therefore as a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree
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Answer: yes tan(20°) option 4
Step-by-step explanation:
Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
How much did the bicycle cost?
Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.
What is an equation?
An equation is written in the form of variables and constants separated by the operation of multiplication and division.
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
According to the given question:
Hugo decided to pay $2 a week to his brother to buy a bicycle.
The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
To pay back to the brother he must owe no money which is y = 0.
∴ The weeks needed is,
0 - 10 = -2(x - 10).
- 10 = -2x + 20.
2x = 30.
x = 15.
He needs 15 weeks to pay back completely.
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given 2n = m + h h = n + m prove n = 2m
See steps below for proving n = 2m:
Step-by-step explanation:An equation is formed of two equal expressions. n=2m can be proved by solving the two of the given equation for h and then equating them together as shown below.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign ''=''.
Given the two equations, 2n=m+h, and h=n+m. Now, solve the two of the equations for h as shown below:
Equation 1.
2n = m + h
2n - m = h
h = 2n - m
Equation 2.
h = n + m
Further, equate the value of h from both the equation,
h = h
2n - m = n + m
Bring the like terms on the same side of the equation,
2n - n = m + m
n = 2m
Hence, proved n=2m.
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Christopher buys 1/2 pound of cheese for $3.60. How much would it cost per pound of cheese?
Answer:
$ 7.2
Step-by-step explanation:
½ pound = $3.60
1 pound = x
just cross multiply.
½x = $ 3.60
0.5x = $ 3.60
x = $3.60/0.5
x = $7.2
Answer:
[tex]\huge\boxed{\sf \$ 7.20}[/tex]
Step-by-step explanation:
Given that,
1/2 pound of cheese = $3.60
Using unitary method.Multiply 2 to both sides
1 pound of cheese = $3.60 × 2
1 pound of cheese = $7.20[tex]\rule[225]{225}{2}[/tex]