The mean age of all 2530 students at a small college is 22.6 years with a standard deviation of 3.6 years, and the distribution is right-skewed. A random sample of 5 students' ages is obtained, and the mean is 23.0 with a standard deviation of 3.1 years. Complete parts (a) through (c) below . a Find . . S. and x=0 (Type integers or decimals. Do not round) b. Isa parameter or a statistic? The value of his a because it is found from the c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply. A. No, because the large sample condition is not satisfied B. No, because the big population condition is not satisfied C. No, because the random sample and independence condition is not satisfied. D. Yes, all the conditions for using the CLT are fulfilled. What would be the shape of the approximate sampling distribution of many means, each from a sample of 5 students? Normal Right-skewed Left-skewed The shape cannot be determined.

The answer to the given question is 5≤x<9.

Open interval do not include the given points where close intervals include the given points.

According to the given question

x is less than 9 and greater than or equal to 5

5≤x<9

There are 4 types of inequalities lees than, greater than, less than or equal to, greater than or equal to.

Suppose a is greater than 2 and less than 6 this can be written as

2<x<6.

another example a is greater than or equal to 2 and less than or equal to 6 then this can be written as

2≤x≤6.

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Answer:

i can help you but please can you send full questions

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Answer:

x= 18

Step-by-step explanation:

Answer: The answer is F.

Step-by-step explanation: It’s F because the number would be multiplied equally because all of the number are multiplied by 2. The rest of them either have variables or variables with numbers in them, which looks kind of funky, so F is the answer. I hope you get it right :). Sorry, if I was late for the reply and if you already figured it out… :(.

Answer:

I got that C = 2(pi symbol)(r)

The joint probability P(X=0, Y=2) calculated by given joint distribution table. From the table, we see that the value in the intersection of X=0 and Y=2 is 0.22.So, the joint probability P(X=0, Y=2) is 0.22.

Let's go through the joint distribution table again to calculate the joint probability P(X=0, Y=2).

The table represents the joint probabilities of two discrete random variables, X and Y. The values in the table indicate the probability of each combination of X and Y.

Looking at the table, we find the entry corresponding to X=0 and Y=2. In this case, the value is 0.22.

Therefore, the joint probability P(X=0, Y=2) is 0.22. This means that there is a 22% probability of the event where X takes the value 0 and Y takes the value 2 occurring simultaneously.

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Answer:

h=0.25t+3

Step-by-step explanation:

y=mx+b

y=0.25x+3

replace y with h and x with t

h=0.25t+3

Answer:

Alan: 110 lb.

Brady: 140 lb.

Charles: 160 lb.

Damien: 120 lb.

Step-by-step explanation:

Answer:

The answer to this expression would be 15

Step-by-step explanation:

(7) - 4(-2) = 7 + 8 = 15

\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{c - 4x}}\\\huge\boxed{\mathsf{\rightarrow 7 - 4(-2)}}\\\huge\boxed{\mathsf{\rightarrow 7 -(-8)}}\\\huge\boxed{\rightarrow{\mathsf{7 + 8}}}\\\huge\boxed{\mathsf{\rightarrow 15}}\\\\\\\\\\\huge\text{Therefore, your answer is: \textsf{15}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}\)

Answer:360A/pi ^2

Step-by-step explanation:

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer:

Congruent, SSS

Step-by-step explanation:

The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.

Hope this helps :)

Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

maybe xd ad something else please

Answer:

A single rotation accounts for the circumference of the mine winch drum:

from formula:

\(circumference = 2\pi r\)

r » radius.

but r = 2 × diameter.

therefore; radius, r = 2 × 6 = 12 m

\(c = 2 \times 3.14 \times 12 \\ { \underline{ \underline{ \: \: circumference = 75.36 \: m \: \: }}}\)

[ considering π to be 3.14 ]

Answer:

6x^2-6x-6

Step-by-step explanation:

(x^2-3x+2)+(5x^2-3x-8)

x^2+5x^2-3x+(-3x)+2+(-8)

6x^2-3x-3x+2-8

6x^2-6x+2-8

6x^2-6x-6

Answer:

See picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question 7

Angle formed by 2 chords is half of the sum of the intercepted arcs

Question 8

Angle formed by 2 secants is half of the difference of the intercepted arcs

Answer:

1) x=6, y=-6 which is (6,-6) as an ordered pair

3) x=10, y=-1 which is (10,-1) as an ordered pair

Step-by-step explanation:

Question 1:

Solve them like an addition problem:

-4x-2y=-12

4x+8y=-24

________

(-4x+4x)+(-2y+8y)=(-12+-24)

0x+6y=-36

6y=-36

y=-6

Plug value of y into one of the original equations:

4x+8(-6)=-24

4x-48=-24

4x=24

x=6

Question 3:

Solve them like an addition problem:

x-y=11

2x+y=19

_______

(x+2x)+(-y+y)=11+19

3x+0y=30

3x=30

x=10

Plug value of x into one of the original equations:

10-y=11

-y=1

y=-1

Answer:

700

Step-by-step explanation:

The probability of drawing either a queen or a diamond is 15/52

To determine the probability of drawing either a queen or a diamond, we have to find the sum of the probabilities of drawing a queen and drawing a diamond, then subtract the probability of drawing both a queen and a diamond. This is because the probability of drawing both a queen and a diamond has been added twice when we added the individual probabilities.

Thus, we have:P(queen or diamond) = P(queen) + P(diamond) - P(queen and diamond)

The probability of drawing a queen is 4/52, since there are four queens in a deck of 52 cards. The probability of drawing a diamond is 13/52, since there are 13 diamonds in a deck of 52 cards.

There are two ways to draw a card that is both a queen and a diamond, namely the queen of diamonds and the diamond queen. Thus, the probability of drawing both a queen and a diamond is 2/52. Therefore, P(queen or diamond) = 4/52 + 13/52 - 2/52 = 15/52 = 15/4 = 3.75 As a reduced fraction, this is 15/52.

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Answer:

3/4

Step-by-step explanation:

  3

(-----)*2 = 3/4

  8

Answer:

3/4

Step-by-step explanation:

1) multiply numerator x numerator

3 x 2 = 6

2) mantain the same denominator

6/8

3) divide numerator and denominator by 2

3/4

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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The equivalent radian measure of 540° is calculated to be 3π using the relation between degree and radian.

The value of 180° is equivalent to π radian.

π radian= 180°

as we know that

180° = π radian

1° = π/180 radian

540° = 540* π/180

3π radian

therefore, The equivalent radian measure of 540°  is 3π.

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Answer:

d on edge

Step-by-step explanation:

rectangular coordinates and polar coordinates are related to each other by the following relation

On polar coordinates, the first coordinate is the radius and the second the angle. Using this information, we have

Solving thiose expressions, we have

Then, the coordinates of the point Q are

Answer:

It B option.

Step-by-step explanation:

I hope it's the right answer.

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5