The Excel command that can be used to find the value of k where P(Y > k) = 0.1 for a t-distribution with 16 degrees of freedom is option a. T.INV(0.1, 16, TRUE).
In Excel, the T.INV function is used to calculate the inverse of the cumulative distribution function (CDF) of the t-distribution. The first argument of the function is the probability, in this case, 0.1, which represents the area to the right of k. The second argument is the degrees of freedom, which is 16 in this case. The third argument, TRUE, is used to specify that we want the inverse of the upper tail probability.
By using T.INV(0.1, 16, TRUE), we can find the value of k such that the probability of Y being greater than k is 0.1.
Therefore, option a is the correct answer.
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Pete, Lulu and Liza are walking in the Boston downtown. Each time Pete takes 4
steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps. If Liza
takes 120 steps, how many steps does Pete take?
If Liza takes 120 steps, then the number of steps taken by Pete will be 72.
What are a ratio and a proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.
Then the relation between is given as
4 Pete → 4 Lulu
5 Lulu → 4 Liza
Then we have
\(\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza\)
If Liza takes 120 steps, then the number of the step taken by Pete will be
\(\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72\)
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Does this table represent a proportional relationship?хy0 037614O YesΟ ΝοMaybe
The elements in the table are in proportional.
Since for every 3unit increase in x, there is a 7 unit increase in y element. Thus, the elements in the table are in proportional.
When x=0 the value of y=0, when x=3 the value of y=7, and finally when x=6 the value of y=14.
The elements is in proportional because the next element is then defined as the multiple of two of the previous element.
\(\begin{gathered} x=0 \\ x=0+3 \\ x=3+3 \\ \text{And for y} \\ y=0 \\ y=0+7 \\ y=7+7 \end{gathered}\)Find the next three terms in each geometric sequence.
1. 638, -216, 72.......
2. 1/6, 1/2, 4.......
3. 72, 36, 18.......
The next three terms in each geometric sequence is 72, 36, 18, 9, 4.5, 2.25.
What is the general form of geometric progression?The general form of Geometric Progression is: a, ar, ar 2, ar 3, ar 4,…,a n. Where,
a = First term.
r = common ratio.
a n = nth term.
General Term or Nth Term of GP.
Let a be the first term
And, r be the common ratio for a G.P.
The general form of Geometric Progression is:
GP-series
Where,
a = First term
r = common ratio
arⁿ ⁻¹ = nth term
The next three terms of the GP is :
2.25 + 2.25 = 4.5
4.5 + 4.5 = 9
9 + 9 = 18
18 + 18 = 36
36 + 36 = 72
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A student scored 80% on their Unit 5 Test. If the test was worth 65 points, how many points did the student earn?
write the equation of a line given its slope m=6 and its y intercept b= -5 . What would the answer be ?
Answer:
y= 6x-5
Step-by-step explanation:
So you can plug it into the equation
y= mx + b
y= 6x-5
hope that helps
Jahlil made 14 pints 14 pints14, start text, space, p, i, n, t, s, end text of ice cream. he gave 1 quart 1 quart1, start text, space, q, u, a, r, t, end text to his neighbor and then made milkshakes with half of the remaining ice cream.
Jahlil initially made 14 pints of ice cream. He gave 1 quart (equivalent to 2 pints) to his neighbor and then made milkshakes with half of the remaining ice cream. As a result, he had 12 pints of ice cream left.
Jahlil started with 14 pints of ice cream. A quart is equivalent to 2 pints, so when he gave 1 quart (2 pints) to his neighbor, he was left with 14 - 2 = 12 pints of ice cream.
With 12 pints remaining, Jahlil decided to make milkshakes using half of the ice cream. Since half of 12 is 6, he used 6 pints of the remaining ice cream to make milkshakes. This means that he utilized half of the original quantity of ice cream.
By giving away 2 pints and making milkshakes with 6 pints, Jahlil effectively used 2 + 6 = 8 pints of the initial 14 pints he made. This leaves him with 14 - 8 = 6 pints of ice cream remaining for other purposes or further distribution.
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Solve the two-step equation. 3 4 (x) − 1.72 = −6.82 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x = .
Answer:
1. The first step is to add 1.72 on both sides.
2. The second step is to multiply by 4/3 on both sides.
3. The solution is x = -6.8
Step-by-step explanation:
EDGE 2020
The value of x in the the two-step equation is -6.80.
What is the value of x in the equation?In order to determine the value of x, take the following steps:
The first step is to combine similar terms together:
3/4x = -6.821 + 1.72
Add similar terms
3/4x = -5.101
Divide both sides of the equation by 4/3
x = -6.80
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Please help, the best answer will be marked brainiest
What is the area of a square with a side length of 12 units? What is the area of a square with a side length of 2.5 units? Please show work and give an accurate answer
Answer:
Area of a square with side lengths of 12: 144 units^2
Area of a square with side lengths of 2.5 units: 6.25 units^2
Step-by-step explanation:
To find the area of a square using side lengths you need to square the length of the side.
For the first question you square 12, so 12 x 12 would give you your area. Therefor the area is 144 units^2
For the second question you square 2.5, so 2.5 x 2.5 would give you the area. Therefor the area is 6.25 units^2
PLEASE HELP ME AS SOON AS POSSIBLE WITH EXPLANATIONS PLEASE!!!!!
The statements true of the two-dimensional plane sections that could result from one of these slices made by Misha are B, C, D, E, and F.
What makes a two-dimensional plane sections?A. False. The only two-dimensional plane sections that could result from slicing a cube with a plane are squares or rectangles, but not triangles.
B. True. A plane section that is square could result from one of these slices through the cube.
C. True. A plane section that is rectangular but not square could result from one of these slices through the cube.
D. True. A plane section that is triangular could result from one of these slices through the pyramid.
E. True. A plane section that is square could result from one of these slices through the pyramid.
F. True. A plane section that is rectangular but not square could result from one of these slices through the pyramid.
Therefore, the correct statements are B, C, D, E, and F.
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Find the area of the polygon in square units.
This may be wrong
Answer: 240.25 square units
Step-by-step explanation:
You could take the perimeter already given, and turn this into a rectangle.
Since the left side is blank, this means you add 7 to thirteen to get the measurement of it. It would take a while to explain, and it seems like you want the answer soon.
You end up with a perimeter of 62.
If you get 2 sets of 2 values from this perimeter, you can create a width and height for your "rectangle"
You could turn this into a square even. Divide the perimeter by 4 to get a length of each side.
Each side of your rectangle (now square) is equal to 15.5 units.
Since the formula for area for a rectangle is width times height, multiply 15.5 by itself, and you get an area measure of 240.25 square units.
The uniform distribution defined over the interval from 25 to 40 has the probability density function Of(x) = 1/40 for all x. f(x) = 5/8 for 25 < x < 40 and f(x)= 0 elsewhere. f(x) = 1/25 for 0
The probability density function for the uniform distribution over the interval from 25 to 40 is given by f(x) = 5/8 for 25 < x < 40 and f(x) = 0 elsewhere.
In probability theory and statistics, a probability density function (PDF) describes the likelihood of a random variable taking on a specific value within a given range. In this case, we are dealing with a uniform distribution over the interval from 25 to 40. The PDF, denoted as f(x), is defined as 1 divided by the width of the interval, which is 40 - 25 = 15 in this case.
Since the uniform distribution is continuous, the PDF remains constant within the interval and is equal to 1 divided by the width. Therefore, we have f(x) = 1/15 for 25 ≤ x ≤ 40, which means that any value within this range has an equal probability of occurring.
Outside the interval from 25 to 40, the PDF is equal to 0, indicating that the probability of obtaining a value outside this range is zero. This makes sense since the uniform distribution assigns equal probability to each point within the interval but assigns zero probability to values outside of it.
In summary, the probability density function for the uniform distribution over the interval from 25 to 40 is f(x) = 5/8 for 25 < x < 40 and f(x) = 0 elsewhere. This means that any value within the interval has a probability density of 5/8, while values outside the interval have a probability density of 0.
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a⁵/a³×a⁸ is equal to
Answer:
a^10
Step-by-step explanation:
simplify the expression
a^2 x a^8
then calculate the product
a^2 x a^8
= a^10
Determine the length of the diagonal for a TV that has a width of 50 inches and a height of 37 inches. Round ONLY your answer to the nearest inch.
Answer:
62.2 inches
Step-by-step explanation:
a²+b²=c²
Plug in your known variables.
50²+37²
This will equal to 3869
Now you will have 3869 = c²
Square root both sides
√3869 = √c²
62.2 inches ≈ c
David drew a double number line diagram and stated that 50% of 36 is 16. Is he correct?
The claim we need to check is that 16 is the 50% of 36.
Recall that if we add 50% and 50%, we should end up with 100%. In our case, we have that our 100% is 36. So, if it was true that 16 is the 50% of 36, then it should happen that if we add 16 with itself, we should get 36.
Note that
\(16+16=32\)Since 16+16 is not 36, it is not true that 16 is the 50% of 36.
how do I solve −2x−9≥5 to get x
Answer:
x = - 7
Step-by-step explanation:
- 2x = 5 + 9
- 2x = 14
x = - 14 / 2
x = - 7
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
x ≤ -7
Step-by-step explanation:
−2x−9 ≥ 5
add 9 to both sides
-2x -9 +9 ≥ 5+9
-2x ≥ 14
divide -2 on both sides
since we're dividing by a negative number we need to flip our inequality sign
-2x/-2 ≥ 14/-2
x ≤ -7
in professional tennis, the length of time that the strings of a tennis racquet last is distributed uniformly anywhere from 5 to 30 days. given that the strings are still not broken on day 15 since they were strung, what is the probability that the strings will not break for at least another 10 days? round your answer to 2 digits after the decimal.
PLEASE HELPPP ILL BRAINLIST/5 STAR.
The total surface area of a cube with a side length of 8cm is:
A) 513 cm square
B) 384 cm square
C) 96 cm square
D) 64 cm Square
The letter representing the gradient in the formula y = mx + c is:
A) y
B) m
C) x
D) c
The gradient and y - intercept of the line y = -3x + 4 is:
A) -3x and 4
B) 3 and 4
C) -3 and 4
D) 4 and -3
The gradient of the line passing through the points (3, -2) and (2,-3) is:
A) 1
B) -1
C) 3b (b+4) - 4 (b-5)
Answer:
1. 384 cm square
2. m
3. -3 and 4
4. 1
Answer:
1) B
2) B
3) C
4) A
Step-by-step explanation:
Area of cube:\(\sf \boxed{\text{Area of cube = $6a^2$}}\)
Here, a is the side of the cube.
Area of cube = 6 * 8 * 8
= 384 square cm
Option B
2) y = mx + c.
Here, m is the slope or gradient and c is the y-intercept.
Option B
3) y = -3x + 4
Compare with y =mx + c,
where m is the gradient and c is the y-intercept.
m = -3 and = 4
Option C
4)
\(\sf Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\)
\(\sf =\dfrac{-3-[-2]}{2-3}\\\\=\dfrac{-3+2}{-1}\\\\=\dfrac{-1}{-1}\\\\=1\)
Option A
Does 11/25 have a repeating decimal form
the nth term of a quadratic sequence can be written as an^2 + bn +c. Here are its first 4 terms. 3, 14, 29, 48. find the values of a, b and c.
The values of a , b and c in the given quadratic sequence are
a = 2, b = 5, c = -4
Quadratic Sequence:The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.
Now in the given question ,
For nth term we have,
an² + bn + c
n = 1:
a + b + c = 3 Eq. 1
n = 2:
4a + 2b + c = 14 Eq. 2
n = 3:
9a + 3b + c = 29 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 11 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 15 Eq. 5
Eq. 5 minus Eq. 4
2a = 4
a = 2
Plug in a = 2 into Eq. 4
3(2) + b = 11
b = 5
Plug in a = 2 and b = 5 into Eq. 1.
2+5 + c = 3
c = -4
The required values are , a = 2, b = 5, c = -4.
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Which of the following are not polynomials?
+ x +1
A. x²
B. +x+
N
C. x2 + 0x2 + 2x + 2
DX-2 + x +1
+
3x+1
Answer:
letter a
Step-by-step explanation:
hope it helps
..............
r is inversely proportionate to a
when r = 12 a = 1.5
work out the value of r when a = 5
work out the value of a when r = 9
Answer:
r = 3.6 , a = 2
Step-by-step explanation:
given that r is inversely proportional to a then the equation relating them is
r = \(\frac{k}{a}\) ← k is the constant of proportion
to find k use the condition when r = 12 , a = 1.5
12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )
18 = k
r = \(\frac{18}{a}\) ← equation of proportion
when a = 5 , then
r = \(\frac{18}{5}\) = 3.6
when r = 9 , then
9 = \(\frac{18}{a}\) ( multiply both sides by a )
9a = 18 ( divide both sides by 9 )
a = 2
Would it be surprising to get a sample mean of ¯ = 64.7 or larger in an SRS of size 20 when = 64 inches and = 2.5 inches? Justify your answer
The dotplot depicts that Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and σ = 2.5.
How to explain the dotplotThe dotplot shows that only 12% of the simulated sample means were 64.7 or greater. This means that it is unlikely to get a sample mean of 64.7 or greater if the population mean is actually 64. In other words, the evidence suggests that the population mean height is greater than 64 inches.
The dotplot shows the distribution of the sample means of 250 simulated samples of size 20. The population mean is 64 and the population standard deviation is 2.5.
The fact that only 12% of the simulated sample means were 64.7 or greater means that it is unlikely to get a sample mean of 64.7 or greater if the population mean is actually 64.
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You pick a card at random. Without putting the first card back, you pick a second card at
random.
123
What is the probability of picking a 2 and then picking a 1?
Write your answer as a fraction or whole number.
Answer:
1/6
Step-by-step explanation:
Firstly, Pr(e) = n(e)/Total outcome
Pr(2) = 1/3
Pr(1) = 1/2
Pr(1 and 2) = 1/3 * 1/2 = 1/6
What had been a big change in tenement construction design and law, instituted by the Health Dept. that alleviated problems in the worst tenements?
One significant change was the implementation of the New York State Tenement House Act of 1901, which required new tenement buildings to have adequate ventilation and light, indoor plumbing, and fire escapes.
During the late 19th and early 20th centuries, tenement housing in urban areas was characterized by overcrowding, poor sanitation, and inadequate ventilation.
These conditions led to high rates of disease and mortality among the working-class population that lived in them. To address these issues, the New York City Health Department instituted a series of reforms that required tenement buildings to meet certain design and construction standards.
It also mandated minimum room sizes and set limits on the number of people who could occupy a single room.
These changes helped to improve the living conditions in the worst tenements, reducing the spread of disease and improving the overall health of the city's working-class population.
While tenement housing remained a significant problem in urban areas for many years, the reforms instituted by the Health Department represented an important step towards improving the quality of life for those who lived in these buildings.
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professional tennis player serena williams has a career win record of 81%. if we took a simple random sample of 55 of her matches, what is the probability that at least 45 would be wins?
The probability that at least 45 would be wins is given as 43.64%
How to solve for the probabilityWe have to find the proportion
p = x / n
where x = 45 wins
n = number = 55 matches
p = 45 / 55
= 0.8182
We are to find the probability of P ≥ 0.8182
The formula is given by p-µ)/σ
where
p = 0.8182
µ = 81 percent
σ = standard deviation
To get the standard deviation
√0.81(1 - 0.81) / 55
= 5.29%
We have to enter the values in the formula, such that
0.8182 - 0.81 / 0.0529
= 0.16
Using the excel formula we are to find 1 - P(Z < 0.16)
=NORM.S.DIST(z,1)
1 - 0.5636
= 0.4364
= 43.64%
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5. For the function:
G(x)=2x² +1/x+3
Part I:
a. What value of x makes this function undefined? (2 points)
b. Write the equation of the vertical asymptote defined by this value of x.
(2 points)
c. which expression has a larger degree, the numerator or denominator?
d. use this information and your choice of long or synthetic division to determine the equation of the oblique asymptote for this function.
Step-by-step explanation:
a. The function G(x) is undefined for x = -3 since division by zero is undefined.
b. The equation of the vertical asymptote is x = -3.
c. The degree of the numerator is 2, since the highest power of x is x². The degree of the denominator is 1, since the highest power of x is x¹. Therefore, the numerator has a larger degree.
d. To find the equation of the oblique asymptote, we can use long division. We divide 2x² by x to get 2x, which we then multiply by x+3 to get 2x²+6x. We subtract this from 2x²+1 to get -6x+1. We then divide -6x by x to get -6, which we multiply by x+3 to get -6x-18. We subtract this from -6x+1 to get 19. Therefore, the oblique asymptote is y = 2x - 6 with a remainder of 19/(x+3).
The function is undefined at x=-3, which also defines the vertical asymptote. The numerator has a larger degree than the denominator. Synthetic division yields an oblique asymptote at y = 2x - 6.
Explanation:Part I:
a. The function G(x) is undefined when the denominator equals zero. Therefore, the value of x that makes the function undefined is x = -3.
b. The vertical asymptote of the function is defined by the value of x which makes the function undefined, which means the equation of the vertical asymptote is x = -3.
c. The numerator 2x² +1 has a larger degree than the denominator x + 3, as the highest power of x in the numerator is 2, and in the denominator it is 1.
d. Because the degree of the numerator is larger than the degree of the denominator, there is an oblique asymptote. We determine the equation of the oblique asymptote by long division or synthetic division. Here, we use synthetic division and find that the divison gives us 2x - 6 as the quotient. Therefore, the equation of the oblique asymptote is y = 2x - 6.
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Two sides of a triangle have the following measures. Find the range of possible measures for the third
side.
7) 12, 11
Answer:6 <x< 64
Step-by-step explanation:i hope this help
What is 9.6 as a mixed number?
Answer:
9 3/5
Step-by-step explanation:
96/10 = 48/5
help me solve for k please anyone
Answer:
Rounding the the nearest tenth then it is 3.5
Step-by-step explanation:
If K is the midpoint of ER, EK = x + 5, and ER = 4x + 2, what is the length of KR?
Answer:
Step-by-step explanation:
EK = ½ER
x+5 = ½(4x+2)
x+5 = 2x+1
x=4