can someone help me with this too thank you very much!!! :D

Answer:

1370 metros creo no se tal ves

If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

Based on the given information, it can be concluded that the average age of all the students at City College is likely around 20. However, it's important to note that this conclusion is only valid if the sample of 90 students is representative of the entire student population at City College. If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

The average age in a sample of 90 students at City College is 20. However, based on this sample alone, it cannot be conclusively determined that the average age of all the students at City College is also 20. This is because the sample may not be fully representative of the entire student population. More information or a larger sample would be needed to make a more accurate conclusion about the average age of all students at City College.

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If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

Based on the given information, the average age in a sample of 90 students at City College is 20.

To determine if this sample can be used to conclude the average age of all students at City College, we need to consider these terms:
Sample:

A subset of a population, which in this case is the group of 90 students at City College.
Population:

The entire group of students at City College that we want to make a conclusion about.
Average (Mean) Age:

The sum of ages divided by the total number of students, in this case, 20 years.
Representativeness:

How well the sample reflects the characteristics of the entire population.
If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

However, if the sample is not representative, the conclusion may not be accurate.

To make a more accurate conclusion, it is important to ensure that the sample is representative by using a larger sample size or random sampling methods.

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Answer:

I think it is 0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph

Answer:

a=82°

b=32°

Step-by-step explanation:

x is the reflection of b

y is the reflection of a

Answer:

Hint: 0 is x1, -2 is y1, 10 is x2, and -6 is y2.

Step-by-step explanation:

I'm not sure how to explain it, but that's how you can label your coordinates to  make it easier to substitute it into the formula. The first number at the beginning of the coordinate is x and the other is y. For example, (3, 7). The three is x and the seven y. If you have two coordinates, then one group has a 1 underneath it while the other has a 2. Simply put, (x1, y1) and (x2, y2). The only thing left is to find the midpoint of segment AB (or line, not sure) by using the midpoint formula.

(If you still need help, you can always reply back)

Answer:

Y = x + 10

Step-by-step explanation:

This is because if we look at x, aka Jordan’s age, we see that she is always 10 years younger than Lae.

hence, to find Lae’s age we just add 10 to x, or Jordan’s age, which looks like:

y = x + 10

have a great day! :)

Answer: y=x+10

Step-by-step explanation: Y (Lae), is ten years older than X (Jordan). This means that Lae is ten year older plus the age that Jordan is.

Answer:

Step-by-step explanation:

answer should be 0.39

The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is 0.39.

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

Given:

A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line.

Assuming that field goal attempts can be considered random events.

P = 0.85

n = 5

Standard deviation = √{5 x 0.85 x (1 - 0.85) = 0.79

The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is,

= P (X ≥ 4)

= P (X ≥ 3.5)

= 1 - P(X < 3.5)

= 0.39

Therefore, the probability is 0.39.

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(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

(b) Consumer surplus ≈ 434

(c) 434 dotars (d)  -1155 dotars.

To calculate the deadweight loss, we need to find the area between the supply and demand curves from the equilibrium quantity to the quantity \(x_C\).

To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for the quantity.

Demand function: D(x) = 61 - x
Supply function: S(x) = 22 + 0.5x

Setting D(x) equal to S(x):
61 - x = 22 + 0.5x

Simplifying the equation:
1.5x = 39
x = 39 / 1.5
x ≈ 26

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

To find the point (\(x_C\), \(P_C\)) where the price ceiling is enforced, we substitute the given price ceiling value into the demand function:

P_C = $30
D(\(x_C\)) = 61 - \(x_C\)

Setting D(\(x_C\)) equal to \(P_C\):
61 - \(x_C\) = 30

Solving for \(x_C\):
\(x_C\) = 61 - 30
\(x_C\) = 31

(b) The point (\(x_C\), \(P_C\)) is (31, $30).

To calculate the new consumer surplus, we need to integrate the area under the demand curve up to the quantity \(x_C\) and subtract the area of the triangle formed by the price ceiling.

Consumer surplus

\(=\int[0,x_C] D(x) dx - (P_C - D(x_C)) * x_C\\=\int [0,x_C] (61 - x) dx - (30 - (61 - x_C)) * x_C\\=\int [0,31] (61 - x) dx - (30 - 31) * 31[61x - (x^2/2)]\)
evaluated from

0 to 31 - 31[(61*31 - (31²/2)) - (61*0 - (0²/2))] - 31[1891 - (961/2)] - 311891 - 961/2 - 311891 - 961/2 - 62/2(1891 - 961 - 62) / 2868/2
Consumer surplus ≈ 434

(c) The new consumer surplus is approximately 434 dotars.

To calculate the new producer surplus, we need to integrate the area above the supply curve up to the quantity \(x_C\).

Producer surplus \(= (P_C - S(x_C)) * x_C - \int[0,x_C] S(x) dx(30 - (22 + 0.5x_C)) * x_C - \int[0,31] (22 + 0.5x) dx(30 - (22 + 0.5*31)) * 31 - [(22x + (0.5x^2/2))]\)
evaluated from 0 to 31(30 - 37.5) * 31 - [(22*31 + (0.5*31²/2)) - (22*0 + (0.5*0²/2))](-7.5) * 31 - [682 + 240.5 - 0](-232.5) - (682 + 240.5)(-232.5) - 922.5-1155
(d) The new producer surplus is -1155 dotars. (This implies a loss for producers due to the price ceiling.)

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The graph of y = -5x + 10 is a function because (d) yes, because it passes the vertical line test.

From the question, we have the following parameters that can be used in our computation:

y = -5x + 10

The above equation is a linear function

As a general rule of functions and relations

All linear functions are functions

This is because they pass the vertical line test

So, the true statement is (d)

Hence, the relation y = -5x + 10 is a function because (d) yes, because it passes the vertical line test.

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Complete question

Does this graph show a function? Explain how you know.

y = -5x + 10

A. No; there are y-values that have more than one x-value.

B. Yes; there are no y-values that have more than one x-value.

C. No; the graph fails the vertical line test.

D. Yes; the graph passes the vertical line test.

Answer:

the answer 50

Step-by-step explanation:

this is because of the triangle therom thing which is all triangles are equal to 180 degrees which means you gotta add 35+95 which gives 130 then subtract 180-130 which equals 50 and thats the missing angle.

Answer:

50

Step-by-step explanation:

'Cause I love my mama UnU

Answer:

a=7, b=14

Step-by-step explanation:

a. 2/6=x/21

cross multiply=

2×21=x×6

then solve

42=6x

divide both sides by 6

x=42/6=7

b. 150/84=25/x

cross multiply=

84×25=150×x

then solve

2100=150x

divide both sides by 150

x=2100/150=14

HOPE THIS HELPS.

Answer:

it would be 25

Step-by-step explanation:

pls mark brainlist

Answer:

x = 30

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

Step-by-step explanation:

You can't do this without some conversion of units. You can do it with just the definition of a Liter

1 Liter has 1000 mL

1000mL > 800 mL

5 Liters requires a conversion

5 Liters = 5 * 1000 = 5000 mL

Difference = Sara - Teresa       use to determine how much more Sara has

Difference = 5000 - 800

Difference = 4200

Sara has 4200 more mL than Teresa

Answer:

108°

Step-by-step explanation:

The shape is a pentagon. The angles in a pentagon add up to 540°. 540°÷5=108°

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

Answer:

It would be y=12x

Step-by-step explanation:

I think

Answer:

if x=24°and y = 54°

sin x + sin y

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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The favourable outcomes are there between 1 and 25 and of multiples of 3 are 3, 9, 15 and 21.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query. There is a chance that it will rain or not. Here, probability can be used.

The number of favorable outcomes that are an odd multiple of 3 is 4.

It should be noted that from the numbers between 1 and 25, the multiples of 3 will be 3, 6, 9, 12, 15, 18, and 121.

Then, from the multiples of 3, we'll choose the odd multiples which are 3, 9, 15, 21.

Therefore, the odd multiples will be 4.

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The directional derivative of function f at a given point in the direction indicated by the angle θ can be calculated using the formula:

D_θ f(x, y) = ∇f(x, y) · u_θ

where ∇f(x, y) is the gradient of f(x, y) and u_θ is the unit vector in the direction of θ. Let's calculate the directional derivatives for the given functions and points.

a) For the function f(x, y) = \(x^2y^5 - y^6\), at the point (3, 1), and in the direction θ = π/4:

First, we calculate the gradient of f(x, y):

∇f(x, y) = (\(2xy^5, 5x^2y^4 - 6y^5\))

Next, we calculate the unit vector u_θ:

u_θ = (cos(θ), sin(θ)) = (cos(π/4), sin(π/4)) = (√2/2, √2/2)

Now, we calculate the dot product of ∇f(x, y) and u_θ:

∇f(x, y) · u_θ = \((2xy^5, 5x^2y^4 - 6y^5\)) · (√2/2, √2/2)

               = (\(\sqrt{2}xy^5 + 5\sqrt{2}x^2y^4 - 6\sqrt{2}y^5\))/2

b) For the function f(x, y) = 2x sin(xy), at the point (2, 0), and in the direction θ = π/3:

First, we calculate the gradient of f(x, y):

∇f(x, y) = (2sin(xy) + 2xy cos(xy), \(2x^2\) cos(xy))

Next, we calculate the unit vector u_θ:

u_θ = (cos(θ), sin(θ)) = (cos(π/3), sin(π/3)) = (1/2, √3/2)

Now, we calculate the dot product of ∇f(x, y) and u_θ:

∇f(x, y) · u_θ = (2sin(xy) + 2xy cos(xy), \(2x^2\) cos(xy)) · (1/2, √3/2)

               = (sin(xy) + xy cos(xy), \(x^2\) cos(xy))

In summary, the directional derivative of function f at the given point in the indicated direction can be calculated by finding the gradient of f, the unit vector in the direction of θ, and then taking their dot product.

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Answer:

26.40

Step-by-step explanation:

r=12

s=4

5r − 8.35s =

5(12) - 8.35(4) = ==> plug in 12 for r and 4 for s

60 - 33.40 =   ==> simplify

60.00 - 33.40 =

60 - 33 + 0.00 - 0.40 =

27 - 0.40 = 26.40

Answer:

550.8

Step-by-step explanation:

5.4 times 102 = 550.

You can solve this problem by using multiplication stacking.

Answer:

$9.95 per shirt.

Step-by-step explanation:

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Using the values of two pairs, (13, 154.50) and (24, 263.95),

rate of change = \( \frac{109.45}{11} \)

rate of change = 9.95 \)

(Note: you'd get the same rate of change if you use the values of any two pairs on the table.)

The rate of change of the total cost of t-shirt with respect to the number of ordered t-shirt is $9.95 per shirt.

Answer:

Option 2

Step-by-step explanation:

Area of the shaded region = Area of rectangle - Area of semicircles sliced off along the width of the rectangle

Area of rectangle = Length × Width

                             = 34 × 14

                             = 476 square feet

Area of the semicircle = \(\frac{1}{2}\pi r^2\)

Here, r = radius of the semicircle

From the picture attached,

Radius of the semicircle = \(\frac{14}{2}\)

                                        = 7 feet

Therefore, area of the semicircle = \(\frac{1}{2}(\pi )(7)^2\)

                                                       = 76.97 square feet

Area of the shaded region = 476 - 2(76.97)

                                            = 476 - 153.94

                                            = 322.06 square feet

Option (2) will be the answer.

Answer:

radius = 10 units

Step-by-step explanation:

using the Pythagorean theorem:

height of triangle = 6 units

base of triangle = 16/2 = 8 units

radius² = 6² + 8² = 36 + 64 = 100

radius = √100 = 10 units

Answer:

Step-by-step explanation:

A proportion can be written a number of ways. Here, we're asked for a specific ratio. Ratios are generally written using a colon (:) or a division symbol (/ or ÷). Here, the cable bill must be computed from the amounts of the other portions of the bill. That computation lends itself to being written in different ways. The point of the exercise is unclear, so the desired 'three different ways' are also unclear.

__

If we assume that the cable TV portion of the bill is separable from the package, it can be written as ...

  cable bill = $90 -35 -14 = $55 -14 = $41

So, the ratio of internet to cable bills can be written as any of ...

  internet : cable = 35 : (90 -35 -14)

  internet : cable = 35 : (55 -14)

  internet : cable = 35 : 41

  internet / cable = 35 / (90 -35 -14)

  internet / cable = 35 / (55 -14)

  internet / cable = 35 / 41

__

Of course, the computation of the cable bill can be accomplished other ways, so that expression could be any of

  cable bill = 90 -49 = 76 -35

Then you could have ...

  internet : cable = 35 : (90 -49)

  internet / cable = 35 / (76 -35)

The expression is written as a number in scientific notation as 2.16 × 10^1. Option B

Scientific notation can be described as a form of expressing or representing  large numbers or very small numbers in a more simpler form.

It is also called index form or standard form.

From the information given, we have;

Now, let's substitute the values

3. 6 × 10^5 ×  1. 5 × 10^8/2. 5 × 10^4

Multiply the decimals and add the powers

5. 4 × 10^5/2. 5 × 10^4

Divide the values and subtract the powers, we get

2. 16 × 10^5-4

2. 16 × 10^1

Hence, the value is 2. 16 × 10^1

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Answer:

The expression is written as a number in scientific notation as 2.16 × 10^1. Option B

Step-by-step explanation: