You must explicitly state that the null hypothesis is demonstrated to be true in cases where there is insufficient evidence to disprove it.
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory's veracity. It is sometimes referred to as just "the null," and its symbol is H₀
Even though we are unable to rule out the null hypothesis, this does not always imply that it is accurate. The reason for this is that a hypothesis test cannot tell which hypothesis is true or even which is more likely. It just evaluates whether there is sufficient evidence to disprove the null hypothesis.
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Write an equation of a line parallel to y = 2x - 1 that passes through the point (-3, 1)
The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.
How to Write the Equation of Parallel Lines?Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.
Given:
A point (-3, 1)
Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.
Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
b = 7
To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:
y = 2x + 7.
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between 1/4 aand 9/2 which fraction is greater
Answer: the answer is 9/2
Four friends go to a theater and sit in a row. What is the probability that two of them, Nathan and Violetta, are NOT neighbors?
Answer: 3/4 im pretty sure
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
When Violetta goes first, their are 4/24 possibilities. Same for Nathan.
The rest are just both 2/24 possibilities. Therefore, the answer is 1/2.
Please help now
Joy buys a shirt using a coupon for 75% off one item. She pays only $15.00 for a shirt. How much
did the shirt cost originally?
Answer:
$60.00
Step-by-step explanation:
15 is 25% of a number. 25 times 4 equals 100. so 15 times four is 60, making 60 the 100%
Work Shown:
x = original price
75% of x = 0.75x = amount saved
x - 0.75x = 0.25x = final price after discount = 15
0.25x = 15
x = 15/0.25
x = 60
Two security cameras are positioned on the ceiling of a gym 10 m apart. When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym.
When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym, the height of gym is 7.05 m
What is angle of depression?When the observer is above the object they are looking at, an angle of depression is created. An angle below the horizontal line drawn with the level of the observer's eye and the line connecting the object with the observer's eye is created when an observer looks at an object that is placed at a distance lower than the observer.
Lets name the points on the triangles as A, B ,C
m∠ABC = 180° - 60° + 50°
= 70°
Now, the sine theorem defines
[tex]\frac{AB}{sin50\textdegree}[/tex] = [tex]\frac{AC}{sin70\textdegree}[/tex] = [tex]\frac{10}{sin70\textdegree}[/tex]
AB = 8.15 meters
Now using the area of triangle formula
area∠ABC = 1/2 × AB × AC × sin∠BAC = 1/2 × h × AC
⇒ 1/2 × 8.15 × 10 × √3/2 = 1/2 × h × 10
⇒ 8.15 × √3/2 = h
⇒ h = 7.05
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m is directly proportional to r squared. when r=2 m=14. work out the value of m when r=12
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504[/tex]
solve for p
4 (p - 9) < -12
Divide both sides by 4. Since 4 is >0, the direction of inequality remains the same.
[tex]\boldsymbol{\sf{p-9 < \dfrac{-12}{4} }}[/tex]
Divide −12 by 4 to get −3.
p - 9 < -3Add 9 to both sides.
p < -3 + 9Add −3 and 9 to get 6.
p < 6|9-5| - |5-9|
A. -8
B. -6
C. -4
D. 0
E. 8
When calculating the modulus of a negative number, the minus sign is disregarded. The expression of |9-5| - |5-9| exists 0.
What is meant by the modulus function?A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.
When calculating the modulus of a negative number, the minus sign is disregarded. The modulus of a number is denoted by writing vertical lines around the number.
Let the expression be |9-5| - |5-9|
Subtracting the numbers, we get
|9-5| - |5-9| = |4| - |-4|
simplifying the above expression, we get
= 4 - 4
= 0
Therefore, the correct answer is option D. 0.
The complete question is:
Simplify |9-5| - |5-9|
A. -8
B. -6
C. -4
D. 0
E. 8
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haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. the total cost of haley’s monthly cell phone bill can be expressed by the function c(m)
Are 36²y²-25y and 11x²y² equivalent?
Answer: No both equations dont have x
Step-by-step explanation:
A green marble is selected at random from a bag of 4 yellow, 3 green, and 9 blue marbles and not replaced. What is the probability a second marble selected will be green
HELP PLS HAS TO BE TURNED IN IN 30 MINUTES
integrated 3 math
Describe the cross section formed by the intersection of a cone and a plane parallel to the base of the cone
Answer:
If you slice a cone parallel to the base, the cross section is a circle.
Step-by-step explanation:
ik this isn't all but i hope this helps
Identify the vertex, min/max values, and x-
intercepts. Then graph.
y=x²-1
x-intercepts; plug in 0 for y and then solve
0 = x^2 - 1
1 = x^2; x = -1 & x = 1
vertex; (0,-1); the only translation was the point was moved down one unit
min/max; the graph does not have a max because it is a positive graph w/ positive infinity. The minimum would be (0,-1), the lowest point.
! For graphing I recommend using desmos.
2 In (x - 5) = In (x + 10) + In 4
answer:
the solution is: x = 15
Find the circumference of a circle with
diameter, d = 7.65m.
Give your answer rounded to 2 DP.
Answer:
24.03
Step-by-step explanation:
We know that the formula is pie squared times radius but the radius is half of the diameter but you can also do pie times diameter and get the same answer.
Alonso has $460 to spend at a bicycle store for some new gear and biking
outfits. Assume all prices listed include tax.
• He buys a new bicycle for $270.71.
• He buys 4 bicycle reflectors for $3.09 each and a pair of bike gloves for
$33.71.
• He plans to spend some or all of the money he has left to buy new biking
outfits for $68.20 each.
Write and solve an inequality which can be used to determine x, the number
of outfits Alonso can purchase while staying within his budget.
Answer:
Step-by-step explanation:
Answer:
In the solution below
Step-by-step explanation:
According to the question.
$257.62 + $18.19 × 2 + $11.18 = $305.18
$400 - $305.18 = $154.82
$154.82 ÷ $77.41 = 2
So she can buy 2 new biking outfits
I hope this helps you
:)
solve g(x) = "-x^2" "-7" when x=-3
Solution of the given function g(x) = "-x^2" "-7" when x=-3 = 2.
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A function called g is defined by the notation y=g(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or g(x).
Given function
g(x) = -x² -7When x = -3
Whenever you're given a function, you simply plug in the x value you're given and then calculate the result.
g(-3) =(-3²) - 7
g(-3) =(9) - 7
g(-3) =9 - 7
g(-3) =2
Hence, When x=-3 = 2, the given function g(x) has a solution of "-x2" "-7."
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5. Percent Word Problem
The original price of a chocolate bar was $25. During a store-closing sale, a shopper saved $3 on the
chocolate bar. What percentage discount did she receive?
Is the following relation a function?
A) Yes
B) No
Answer:
I say b
Step-by-step explanation:
One of the humpback whales in a pod has a maximum speed of 690 meters per minute. If
the whale is swimming south at one-third of its top speed, how far will the whale travel in
4 minutes?
Write your answer as a whole number.
690 ÷ 3 = 230
230 × 4 = 960
a whale will go 960 meters
In a large population, 56% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The likelihood that someone has received a vaccination equals one minus the likelihood that no one has. The likelihood that a randomly chosen individual in a large population IS NOT immunized = 1 - 0.54 = 0.46.
The likelihood that the three randomly chosen individuals are not all immunized is 0.463, hence the likelihood that at least one of them has been immunized is 1 - 0.463.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
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6. What is the solution set of the inequality below? *х-x + 2>-72O x5-82O x2-8O x2-9/2O X28
Multiply both sides by 2:
[tex]x+2\ge-14-x[/tex]Add x to both sides:
[tex]2x+2\ge-14[/tex]Subtract 2 from both sides:
[tex]2x\ge-16[/tex]Divide both sides by 2:
[tex]\begin{gathered} x\ge-\frac{16}{2} \\ x\ge-8 \\ \end{gathered}[/tex]Answer:
[tex]x\ge-8[/tex]maths question photo attached
The exact area of the shaded region is: (2 - √6)/8 cm².
What is the Area of a Triangle?The area of a triangle = 1/2(base)(height).
The area of the shaded region = area of triangle ABD - area of triangle ACD.
Area of triangle ABD:
Base of triangle ABD = AD = √2/2
Height of triangle ABD = BD = √2/2
Area of triangle ABD = 1/2(√2/2)(√2/2)
Area of triangle ABD = 2/8 = 1/4 cm²
Area of triangle ACD:
Base of triangle ACD = AD = √2/2
Height of triangle ACD = CD = √3/2
Area of triangle ACD = 1/2(√2/2)(√3/2)
Area of triangle ACD = √6/8 cm²
Area of the shaded region = 1/4 - √6/8
Area of the shaded region = (2 - √6)/8 cm²
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5:2:11=___:6____
Can you please help me I am stuck
ILL MARK BRAINLIEST
What is the contrapositive of the following statement?
"If it does not have four legs, then it is a fish."
If it is a fish, then it does not have four legs.
If it has four legs, then it is not a fish.
If it is not a fish, then it has four legs.
If it does not have four legs, then it is not a fish.
Answer:
The answer is "If it does not have four legs, then an animal is not a fish
To form the contrapositive, switch the hypothesis and the conclusion and negate both.
The hypothesis is the "if" part and the conclusion is the "then" part.
Answer:
If it is not a fish, then it has four legs.
Step-by-step explanation:
If A then B
the contrapositive of this is
If Not B then not A.
ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?
The most appropriate choice for profit and loss will be given by
Uncle Ben will feed his cows 2 pounds of grain supplement.
What is profit and loss?
If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.
If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.
Here,
For 1 pound
Cost price of grain supplement = [tex]0.70 \times 1[/tex]
= $[tex]$0.70[/tex]
Selling price of milk = [tex]0.20 \times 5[/tex]
= $[tex]1[/tex]
Profit = $([tex]1 - 0.70[/tex])
= $0.30
For 2 pounds
Cost price of grain supplement = [tex]0.70 \times 2[/tex]
= $[tex]$1.40[/tex]
Selling price of milk = [tex]0.20 \times 9[/tex]
= $[tex]1.80[/tex]
Profit = $([tex]1.80 - 1.40[/tex])
= $0.40
For 3 pounds
Cost price of grain supplement = [tex]0.70 \times 3[/tex]
= $[tex]$2.10[/tex]
Selling price of milk = [tex]0.20 \times 12.3[/tex]
= $2.46
Profit = $([tex]2.46 - 2.10[/tex])
= $0.36
For 4 pounds
Cost price of grain supplement = [tex]0.70 \times 4[/tex]
= $[tex]$2.80[/tex]
Selling price of milk = [tex]0.20 \times 15.5[/tex]
= $3.1
Profit = $([tex]3.1 - 2.80[/tex])
= $0.30
For 5 pounds
Cost price of grain supplement = [tex]0.70 \times 5[/tex]
= $[tex]$3.50[/tex]
Selling price of milk = [tex]0.20 \times 18[/tex]
= $3.60
Profit = $([tex]3.60 - 3.50[/tex])
= $0.10
For 6 pounds
Cost price of grain supplement = [tex]0.70 \times 6[/tex]
= $[tex]$4.20[/tex]
Selling price of milk = [tex]0.20 \times 20[/tex]
= $4
Loss = $([tex]4.20 - 4[/tex])
= $0.20
For 7 pounds
Cost price of grain supplement = [tex]0.70 \times 7[/tex]
= $[tex]4.90[/tex]
Selling price of milk = [tex]0.20 \times 21.5[/tex]
= $[tex]4.30[/tex]
Loss = $([tex]4.90 - 4.30[/tex])
= $0.60
For 8 pound
Cost price of grain supplement = [tex]0.70 \times 8[/tex]
= $[tex]$5.60[/tex]
Selling price of milk = [tex]0.20 \times 22.5[/tex]
= $[tex]4.50[/tex]
Loss = $([tex]5.60 - 4.50[/tex])
= $1.10
For 9 pounds
Cost price of grain supplement = [tex]0.70 * 9[/tex]
= $[tex]6.30[/tex]
Selling price of milk = [tex]0.20 * 23[/tex]
= $[tex]4.60[/tex]
Loss = $([tex]6.30 - 4.60[/tex])
= $1.70
Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.
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Complete Question
Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:
ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?
The table has been attached here
If f(x) = 2x² +3 and g(x)=x2-7, find (f- g)(x)
A. 3x²2²-10
B. x² + 10
C. x²-4
D. 3x²2²-4
APEX FUNCTIONS PLEASE HELP
Answer: D
Step-by-step explanation:
200-80/1 or (as shown on the sheet)
200-80
------------
1
Answer:
120
Step-by-step explanation:
200 - 80 = 120
so 120 / 1 = 120
Answer:
200-80/1 which means (200-80) divided by 1
200 and 80 is in bracket so we solve it first:
200-80=120
now 120/1= 120
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Is 1270.8 cm significantly high?
A. No, because it is below the lower limit separating value.
B. Yes, because it is between the limits separating values.
C. No, because it is above the upper limit separating value.
D. No, because it is between the limits separating values.
E. Yes, because it is above the upper limit separating value.
F. Yes, because it is below the lower limit separating value.
To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.
How do you identify the limits separating values that are significantly low or significantly high?To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.
A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.
Therefore, the correct answer is option A. No, because it is below the lower limit separating value.
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1/9 times blank equals 4/27
The correct value in the blank of the statement "1/9 times blank equals 4/27" is; 4/3
How to divide fractions?We are given the expression that 1/9 times blank equals 4/27.
Let the missing term be identified as y. Thus, we have;
1/9 * y = 4/27
In Mathematics, the reciprocal of any quantity is, one divided by that quantity. For any number 'b', the reciprocal will be 1/b. If the given number is multiplied by its reciprocal, we get the value 1.
To get the missing value y, we will use multiplication property of equality to multiply both sides by 9 to get;
1/9 * y * 9 = 4/27 * 9
y = 4/27 * 9
y = 4/3
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