Answer:
The correct option is (D).
Step-by-step explanation:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
The hypothesis is defined as follows:
H₀: The slope of the regression line is 0, i.e. β = 0.
Hₐ: The slope of the regression line is greater than 0, i.e. β > 0.
A scatter-plot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables; lean body mass and maximal oxygen uptake.
The significance level of the test is, α = 0.05.
The p-value of the test is, p-value = 0.04
As the p-value = 0.04 < α = 0.05, we reject the null hypothesis.
So, it can be concluded that there is a statistical evidence of a relationship between lean body mass and maximal oxygen uptake for college athletes.
Since the scatter-plot shows a strong positive linear relationship, it implies that as the an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.
Thus, the correct option is (D).
word problem of addition or subtraction
Answer:
subtraction
Step-by-step explanation:
In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.
Answer:19
Step-by-step explanation:subtract 27 from 8.
Plot the vertex and the axis of symmetry of this function: f(x) = (x – 3)2 + 5.
Answer:
Vertex: (3, 5)
Axis of symmetry: x=3
BRAINLIEST for whoever gets this correct! Factor the expression below.
x^2-16x+64
A. (x-4)(x-16)
B. (x+4)(x+16)
C. (x+8)(x + 8)
D. (x-8)(x-8)
Answer:
D. (x - 8) (x - 8)
Step-by-step explanation:
-16x must be split into two terms that can be added to get -16, and multiplied to get 64. The only two terms that can satisfy this, is -8.
(x - 8) (x - 8)
If you're unsure about whether it's correct, you can multiply the two together to see if you get your original expression, [tex]x^2-16x +64[/tex], as your answer.
The average lifetime of a set of tires is three years. The manufacturer will replace any set of tires failing within two years of the date of purchase. The lifetime of these tires is known to follow an exponential distribution. What is the probability that the tires will fail within two years of the date of purchase?
Answer:
48.67% probability that the tires will fail within two years of the date of purchase
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
In this question:
[tex]m = 3, \mu = \frac{1}[3}[/tex]
[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3}} = 0.4867[/tex]
48.67% probability that the tires will fail within two years of the date of purchase
Calculate the area for the shape above. Round answer to the nearest hundredths
Answer:
400
Step-by-step explanation:
20 x 20= 400
Answer:
I'd say that if it is the total area square and half of the circle. the answer could be 557.08
Step-by-step explanation:
area of the square 20*20= 400
area of the circle= Pi*radio to the square divided by two cause its only the half of a circle so it is like 3.1416*10^2=100*3.1416=714.16/2=157.08
now we can sum up the square area and the circle
400+157.08= 557.08
I'm not actually sure itll depend if the wide and height of the square is the same. here im guessing that its 20 both. and another thing I didnt round the answer it was just that
Sam conducted a survey to determine your favorite flavor of ice cream is his hometown. 15 of the 50 people he surveyed liked strawberry best. How many of the 3,500 residents in the town would you expect to like strawberry best
Answer: 1050 people.
Step-by-step explanation: It's a rule of three question.
15/50 as x/3500
Then you have that 50x = 52500
x = 1050
There you have it.
a square stained window is divided into four congurent traiangular sections by iron edging to represent seasons of the year. Each diagonal measures 9 inches. What is the total length of iron edging needed to create the sqaure frame and two diagnols?
Answer:
Total length of iron needed to make the square frame and two diagonals = 43.44 in (Approx)
Step-by-step explanation:
Given:
Length of diagonal = 9 in
Find:
Total length of iron needed to make the square frame and two diagonals.
Computation:
Area of square = 1/2(diagonal)²
Area of square = 1/2(9)²
Area of square = 40.5 in²
Area of square = Side × Side
40.5 in² = Side × Side
Side = 6.36 (approx)
Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)
⇒ (4 × 6.36) + (2 × 9)
⇒ (25.44) + (18)
⇒ 43.44 in
Total length of iron needed to make the square frame and two diagonals = 43.44 in (Approx)
3 and 1/4 minus 5/8 please help!
3x+20=5x how many Solutions does it have
Answer:
one
Step-by-step explanation:
3x + 20 = 5x
20 = 5x - 3x
20 = 2x
x = 10
one solution
Which expression is equivalent to 5(2+7)
A. 2(5+7)
B. 2+7(5)
C. 5(2)+7
D.5(2)+5(7)
Answer:
D
Step-by-step explanation:
So 5(2+7) equals 45
A. 2(5+7)=24
B. 2+7(5)=37
C. 5(2)+7=17
D.5(2)+5(7)=45
Only D equals 45
Hope I helped :D
Help me please!!!! If you do this correct, I will mark you the brainliest and this question is worth 50 points so please help me!!!
Answer:
B and C .. thhx
Step-by-step explanation:
y = x^2 - 7x - 5
y = -2x + 19
Subtract:
y-y = x^2 - 7x - 5 - (-2x + 19)
Simplify:
o = x^2 - 5x - 24
Solve the polynomial by finding two numbers when added together equal -5 and when multiplied by each other equal -24
x = -3 and x = 8
Now replace x in the first equation with -3 and solve for y, then replace x with 8 and solve:
y = x^2 -7x -5: y = -3^2 - 7(-3) - 5 = 9 + 21 - 5 = 25
y = 8^2 - 7(8) -5 = 3
The answers are (8,3) and (-3,25)
You are overseeing a machine that seals 80 soda cans per minute. In one hour of time, how many soda cans will be sealed? _____ soda cans?
Answer: 4800
Step-by-step explanation: 80 x 60 = 4800
Assume you have a safe code that is 8 digits long. The numbers 0-9 may be used for any digit. How many possible codes are there? Show your work and leave your answer in either exponential or factorial form.
Answer:
10^8 choices
Step-by-step explanation:
You have 10 numbers to choose from for each digit of the code.
There are 8 digits of the code.
You have 10*10*10*10*10*10*10*10 = 10^8 choices in total.
Number of possible codes are [tex]10^{8}[/tex]
What is Permutation?In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements
Given,
Number of digits in passcode = 8
The numbers 0-9 may be used for any digit. Therefore total of 10 numbers
Here repetition is allowed.
Therefore, each of the 8 vacant place can be filled in the succession of 10 different ways
Number of possible codes are = 10×10×10×10×10×10×10×10 = [tex]10^{8}[/tex]
Hence, the number of possible codes are [tex]10^{8}[/tex]
Learn more about Permutation here
https://brainly.com/question/1216161
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A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likelyto come to rest in any of the slots. One of the simplest wagerschooses red or black. A bet of $1 on red returns $2 if the balllands in a red slot. Otherwise, the player loses his dollar. Whengamblers bet on red or black, the two green slots belong to thehouse. Because the probability of winning $2 is18/38, the meanpayoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numberstells us about what will happen if a gambler makes very many betson red.
Answer:
Step-by-step explanation:
The question says,
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.
The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.
Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.
That is as n increases the gamblers will get $0.947 in n places
More generally, as the gambler makes a large number of bets on red, they will lose money.
Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units
Answer:
A
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals o.
6% - 2y = 14
Enter the correct answer
OOD
BONE
Today, high tide measured 7.5 ft and low tide measured 3 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours?
Answer:
The amplitude of wave is [tex]A = 2.25\,ft[/tex].
Step-by-step explanation:
The amplitude is computed by using the following expression:
[tex]A = \frac{7.5\,ft - 3\,ft}{2}[/tex]
[tex]A = 2.25\,ft[/tex]
Answer:
2.25 ft
Step-by-step explanation:
Identify the graph of y=2^x+3
could you show me a picture so maybe i can answer it please
Find the 69th term of the following arithmetic sequence.
6, 15, 24, 33,
Answer:
414
Step-by-step explanation:
6 x 69= 414
Answer:
618
Step-by-step explanation:
9n-3
9 x 69 - 3
= 618
........
Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.
Which expression can you use to find 23% of 52? ..
23% of $52 is $..
An easy way to check your answer is to use the friendly and divide 52 by to get ..
Answer:
Which expression can you use to find 23% of 52? "0.23 x 52"
23% of $52 is $. "11.96"
An easy way to check your answer is to use the friendly 25% and divide 52 by 4 to get 13.
Step-by-step explanation:
just did it good luck everyone
23% of $52 is $11.96.
In order to determine the value of 23% of $52, we would multiply 23% by $52. Multiplication is a basic mathematical operation that entails adding a certain number by itself a certain number of times. The sign used to represent multiplication is ×.
23% x 52
= 0.23 x 52 = $11.96
To learn more, please check: https://brainly.com/question/92258
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 15 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of wind speed recordings (taken at random intervals), the wind speed at the site averaged with a standard deviation of To determine whether the site meets the organization's requirements, consider the test, where μ is the true mean wind speed at the site and Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site _____ 15 mph when it actually _____ 15 mph."
Answer:
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
Step-by-step explanation:
A Type I error happens when a true null hypothesis is rejected.
In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.
Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
A regulation baseball can weigh no more than 149 grams. A factory produces baseballs with weights that are normally distributed with a mean of 146 grams and a standard deviation of 2.3 grams. (a) If a baseball produced by the factory is randomly selected, what is the probability that it is within regulation weight? (b) The baseballs are shipped in boxes of 16. What is the probability that at least 15 of the 16 baseballs in a pack are within regulation weight? (c) The factory will not ship a box of 16 if the average weight of the baseballs in the box exceeds 147 grams. What is the probability that a pack of 16 baseballs would have an average weight of more than 147 grams?
90.32% probability that it is within regulation weight
(a) The probability that a selected ball is within regulation weight is 84%.
(b) Probability of at least 15 of 16 balls withing regulation weight is 10.5%.
(c) The probability of average weight of more than 147 grams is 66.67%.
Probability of baseball within regulation weightThe probability of baseball within regulation weight is calculated as follows;
one standard deviation above the mean = M + d = 84%
two standard deviation above the mean = M + 2d = 98%
where;
M is the meand is standard deviationone standard deviation above the mean = 146 g + 2.3 g = 148.3 g
two standard deviation above the mean = 146 g + 2(2.3g) = 150.6 g
150.6 g is above regulation weight.
Thus, when a baseball is randomly selected, the probability that it is within regulation weight is 84%.
Probability of at least 15 balls out of 16 balls;outcome = (15, 16) = 2 outcome
P = 2/16 x 84%
P = 10.5%
Probability of average weight of more than 147 gramsMean of the distribution = 146 = 50%
Average weight more than 147g = ?
Maximum weight of 149g = 100%
(147 - 146)/(149 - 146) = (? - 50)/(100 - 50)
0.333 = (? - 50)/(50)
50(0.333) = ? - 50
? = 50(0.333) + 50
? = 66.67%
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What’s the correct answer for this?
Answer:
(2,7)
Step-by-step explanation:
In the attached file
An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10 % 10%10, percent. They abducted a random sample of 400 400400 humans, performed special psychological tests, and found that 14 % 14%14, percent of the sample are rebellious. Let's test the hypothesis that the actual percentage of rebellious humans is 10 % 10%10, percent versus the alternative that the actual percentage is higher than that. The table below sums up the results of 1000 10001000 simulations, each simulating a sample of 400 400400 humans, assuming there are 10 % 10%10, percent rebellious humans. According to the simulations, what is the probability of getting a sample with 14 % 14%14, percent rebellious humans or more?'
Answer:
Probability of getting a sample with 14% rebellious humans or more is 0.0104.
Step-by-step explanation:
We are given that an alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10%.
They abducted a random sample of 400 humans, performed special psychological tests, and found that 14% of the sample are rebellious.
Let p = population proportion rebellious humans
The z score probability distribution for sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat[/tex][tex]\hat p[/tex] = sample proportion rebellious humans = 14%
n = sample of humans = 400
p = population proportion rebellious humans = 10%
Now, probability of getting a sample with 14% rebellious humans or more is given by = P( [tex]\hat p[/tex] [tex]\geq[/tex] 14%)
P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.14) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.14-0.10}{\sqrt{\frac{0.14(1-0.14)}{400} } }[/tex] ) = P(Z [tex]\geq[/tex] 2.31)
= 1 - P(Z < 2.31) = 1 - 0.9896 = 0.0104
The above probability is calculated by looking at the value of x = 2.31 in the z table which has an area of 0.9896.
Hence, the required probability is 0.0104.
Answer:
It's 0.7% (make sure to include the % sign)
Step-by-step explanation:
Khan Academy
When Jonas becomes the Receiver of Memory, he gets a rule that he may not tell his dreams. He wants to know how many of his 505050 classmates have the same rule. He asks 555 friends from his class whether they may tell their dreams. Of those, 444 say that they may.
Answer:
101010 classmates can't tell their dreams.
Step-by-step explanation:
I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.
Hope this helps!
You purchased a bond 75 days ago for $911.72. You received an interest payment of $32.00 68 days ago. Today the bond’s price is $993.39.
What is the holding period return (HPR) on the bond as of today?
Answer:
Holding Period Return (HPR) = 12.47% (Approx)
Step-by-step explanation:
Given:
Purchase price of bond = $911.72
Interest received = $32
Ending price of bond = $993.39
Find:
Holding period return (HPR) = ?
Computation:
⇒ Holding Period Return (HPR) = [Ending price of bond - Purchase price of bond + Interest received] / Purchase price of bond
⇒ Holding Period Return (HPR) = [$993.39 - $911.72 + $32] / $911.72
⇒ Holding Period Return (HPR) = [$113.67] / $911.72
⇒ Holding Period Return (HPR) = 0.12467
⇒ Holding Period Return (HPR) = 12.47% (Approx)
an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??
The automobile is 35 miles away from the airport
The teacher decides that no student can win twice, so she removes the tickets of the first winner before drawing the second winner. What is the probability that she draws Kitzen first and then Ava second? Use a / to represent a fraction bar.
Answer:
3/4
Step-by-step explanation:
Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.
What is the slope of y = -4x -3
Answer:
Slope = -4
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since m represents the slope, then your slope will equal -4.
What is the probability of rolling a sum of 5 on at least one of two rolls of a pair of number cubes?
