What is the area of a triangle with vertices at (-2, -1), (4, -1), (6,5)?
6 square units
9 square units
18 square units
36 square units

The statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

So, in this case, Mai did sampling(sample of 30 students was selected) instead of working on entire population (all students of her school).

In her sample, she found that 27 out of 30 students think its a good idea to start and end the school day an hour later than usual.

So, from sample, 90% of those 30 students think  it’s a good idea to start and end the school day an hour later than usual.

And yes, we can use this data to approximate or predict about the percentage of students who think  it’s a good idea to start and end the school day an hour later than usual.

But we cannot surely say that it will be exactly 90%.

The only statement we can give about the population is:

Almost (or such unsure wordings) 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!

Thus, the statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

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Answer:

60

Step-by-step explanation:

By the triangle midsegment theorem, 2(SU)=RV.

2(w-30)=w, meaning w=60.

So, RV=60 as well

Note that the pool is in the shape of square with each of its four sides measuring 'x' units.

(a)

So the total length of the rectangular system is given by,

Thus, the total length of the rectangle is (x+20) units.

(b)

Similarly the total width of the rectangular system is given by,

Thus, the total width of the rectangle is (x+16) units.

(c)

Consider that the area of the rectangular area is calculated as,

Substitute the values,

Thus, the above expression gives the area of the given rectangle.

Answer:

x =82

Step-by-step explanation:

2/5 (x − 17) = 26

Multiply each side by 5/2

5/2 *2/5 (x − 17) = 26*5/2

x-17 =65

Add 17 to each side

x-17+17 = 65+17

x =82

Answer:

Step-by-step explanation:

u got to just learn how to do it

Answer:

(2, 1)

Step-by-step explanation:

\(\frac{X1+X2}{2} , \frac{Y1 + Y2}{2}\)

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

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Probability is a measure of the likelihood of an event occurring. Probabilities can also be expressed as percentages, with 0% representing an impossible event and 100% representing a certain event.

There were 33 customers who came for dinner and did not order dessert, and there were a total of 182 customers. So the probability that the customer came for dinner and did not order dessert is:

P = 33/182= 0.18.

There were 33 customers who came for dinner and did not order dessert, and there were 74 customers who did not order dessert, for a total of 107 customers. So the probability that the customer came for dinner or did not order dessert is:

P = 107/182 = 0.59.

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Answer:

X>3

Step-by-step explanation:

Answer:

There are 72 candles in each box

Step-by-step explanation:

Key skills needed for this problem: Division

1) The problem says there are 1728 candles in 24 boxes. We need to find the number of candles in one box.

2) To solve this equation, we need to divide 1728 by 24. 1728 divided by 24 is 72.

This means there are 72 candles in each box.

Hope you understood and have a nice day!! :D

Answer:  4

Step-by-step explanation:

-1+-10 is -11

5+2 is 7

-11+7 is 4

Answer:

Answer is a.multiplication.

Step-by-step explanation:

I hope it's helpful!

Answer:

thirty-six of a miles or \(36\) miles of a miles <--- I didn't know if you meant regular miles

Step-by-step explanation:

We can convert 1 hour to 60 minutes

\(60\div20=3\)

Since it is \(3\) \(times\) the time and we assume her rate is consistent we multiply 3 by 12

\(3\cdot12=36\) of a miles

thirty-six of a miles

Brainliest please :)

Answer:

Vanessa walks her puppy for 36 miles in 1 hour.

Step-by-step explanation:

She walks 12 miles in 20 minutes

1 hour = 60 minutes

There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles

-Chetan K

The required method typically employed is C) Experimental design.

The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.

Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.

In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.

The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.

Thus, Suitable option is C)Experimental design.

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Answer:

The exterior angle is 77

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

2x+11 = x +44

First we need to find x

Subtract x from each side

2x+11-x = x+44

x +11 = 44

Subtract 11 from each side

x+11-11 = 44-11

x =33

Now we can find the exterior angle

2x+11 = 2(33)+11 = 66+11 = 77

The exterior angle is 77

Answer:

6x+6 or 4x+10

Step-by-step explanation:

hope u like it

Answer:

a) 196cm^2

b) 225cm^2

c) 180 cm^2

Step-by-step explanation:

a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.

a = (14cm)^2

a = 196cm^2

b) a = (15cm)^2

   a = 225cm^2

c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.

a = l x w

a = 18cm x 10 cm = 180 cm^2

:)

Answer:

£330

Step-by-step explanation:

The total ratio between Paul and Malachy is 2 + 3 = 5.

The amount that Paul will receive is:

2/5 * 2750 = £1100

The second ratio is between Paul, his wife and their son in the ratio 5:4:1. The total ratio between Paul, his wife and their son is:

5 + 4 + 1 = 10

The amount that Paul's wife will receive is:

4/10 * 1100 = £440

The amount that their son will receive is:

1/10 * 1100 = £110

Therefore, the amount that the wife will receive over the son is:

440 - 110 = £330

Applying the sine ratio, the length of side AB in the right triangle is: 11.04 cm.

In any given right triangle, where we know the reference angle, ∅, the length of the opposite side and the length of the hypotenuse, the sine ratio is expressed as: sin ∅ = opposite/hypotenuse.

Given the following:

Plug in the values into the sine ratio formula:

Sin 35.43 = 6.4/AB

AB = 6.4 / sin 35.43

AB = 6.4 / sin 35.43

AB = 11.04 cm

Thus, by applying the sine ratio, the length of side AB in the right triangle is: 11.04 cm.

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Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

Given

\(\frac{48}{60}\)

To simplify find the highest common factor of 48 and 60, that is 12

Divide both values by 12

\(\frac{48}{60}\) = \(\frac{4}{5}\) ← in simplest form

The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator

The ratio of prime numbers to composite numbers in the lowest term is 4:5.

A number with precisely two factors, "1" and the number itself, is referred to as a prime number. A composite number can be divided by at least one positive integer in addition to being divisible by 1 and the number itself since it contains more than two elements. The number 1 is neither a prime nor a composite. In addition to these two, coprime numbers fall into a similar category of numbers.

From the set of whole numbers from 1 to 9, there are 4 prime numbers (2, 3, 5, 7) and 5 composite numbers (4, 6, 8, 9). The ratio of prime numbers to composite numbers in the lowest term is 4:5, which can also be expressed as 4/5.

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P(A and B) = P(A) × P(B) is the formula used to assess if two events are independent (B).

P(A) is the chance that event A will occur.

The chance that event B will occur is marked as P(B).

If the chance of both occurrences happening at the same time, P (A and B), equals the product of the individual probabilities of each event, P(A) x P(B), the events are called independent.

If, on the other hand, the chance of both occurrences occurring simultaneously is less than the product of the individual probabilities of each event, the events are deemed dependent.

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Answer:

Each friend shovels 1/12 of 8 driveways, or 8/12 driveways = 2/3 of a driveway.

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Chris owes $35 in interest to the back next month.

We know that a credit card's interest rate is nothing but the price one  pay for borrowing money. This is called the annual percentage rate (APR).

The Interest paid is calculated by the formula:

I = PTR ÷ 100

where P = Principal amount ,

R= rate of interest in percentage ,

and T= period.

Here, P = $2800,

R = 15%

T=  1 year

Using above formula,

I = (2800 x 15 x 1) ÷ 100

I = 420.

He will pay an interest of 420 ÷ 12= $35 per month.

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Answer:

c=12.5

Step-by-step explanation:

Multiply both sides by 2 to get rid of the fraction.

You are left with 2c-9=16

Add 9 To both sides

You are left with 2c=25

Divide both sides by 2 to get C by itself

You are left with c=25/2

Simplify

c=12.5

Pretty sure the answer is B The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

Step-by-step explanation:

Since the 10 % solution that you're adding to the 30% solution is 10% acid when you add it to the 30 acid percent solution it would never decrease the acidity levels farther than 10 percent no matter how much you put because the solution your adding is at a 10% acidity and the other solution is 30% acidity and has a higher acidity level than the 10% so it could never go lower than the solution you are adding to it.

Really hope I did an okay job at explaining.

Answer:

B on edge

Step-by-step explanation:

Passed the test