Elsa is in charge of planning a reception for 2200 people. She is trying to decide which snacks to buy. She has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results.

Answer:

I believe the ans is

A ⋂ B = { 6, 12 }

Explanation :

The set operation intersection contains only the elements that are in both set

A ⋂ B

Answer: I think it’s A but I’m not really good with square roots.

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

the perimeter is basically all the way round a shape

P=2l+2d2﹣l2 for the diagnol

Answer: 0.049

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.061

Assuming no deposits or withdrawals are made,  the amount in the  account after 19 years is: 11,454. 133.

Using this formula

A = P(1+r/100)ⁿ

Where:

A = Amount =?

P = Principal = $4700

r = Interest rate =4.8%

n = the number of periods =19 years

Let plug in the formula

A = 4,700 (1 + 4.8/100)¹⁹

A = 4,700 (1 + 0.048)¹⁹

A = 4,700 (1.048)¹⁹

A = $11,454. 133

Therefore the amount is $11,454. 133.

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The most likely scenario for the representative sample is that it contained more adults than children.

Given that the group of tourists contains 150 adults and 50 children, the representative sample aims to accurately reflect the proportions of adults and children in the entire population of 200 people. Therefore, the representative sample is likely to have a similar ratio of adults to children as the entire group.

Since there are more adults (150) than children (50) in the total population, it is more probable that the representative sample would also have a higher number of adults than children. This outcome ensures that the sample maintains a proportionate representation of the population's age groups.

While it is technically possible for the representative sample to contain all 200 tourists or an equal number of adults and children, these scenarios are less likely. The purpose of a representative sample is to accurately capture the characteristics of the population, and having all 200 tourists in the sample would not provide any new information. Similarly, an equal number of adults and children in the sample would not accurately reflect the population's age distribution. Therefore, the most likely scenario is that the representative sample contained more adults than children, as it aligns with the proportions in the total population.

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The representative sample most likely contained more adults than children. This is because of the higher proportion of adults in the entire group, which would be reflected in a representative and random sample.

The representative sample in this context most likely contained more adults than children. This is because a representative sample is meant to represent the demographic distribution of the entire population. In this case, the group of tourists consists of 200 people, of which 150 are adults and 50 are children. Therefore, adults make up a larger proportion of the population, and this would also be reflected in the representative sample.

When pulling a random sample, each tourist in the group would have an equal chance of being selected. However, since there are more adults in the total group, the probability of randomly pulling an adult is higher. This concept is essential in fields like statistics and surveys, where representative samples are key to making inferences about larger populations.

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Answer:

12-20x≥-400

-20x≥-400+12

-20x≥-388

x≥-388/-20

x≥194

Answer:

$93

Step-by-step explanation:

Amaya went to the pet store. She bought x fish for $3.50 each. She bought fish food for $7.00, and a fish bowl for $12.75. Determine how much Amaya spent at the pet store if she bought 4 fish.

Step 1

We calculate the total amount spent on 1 fish

= Cost of fish + Cost of food + Cost if bowl

= $3.50 + $7.00 + $12.75

= $23.25

Step 2

The total amount spent on 4 fishes is calculated as

= $23.25 × 4 fishes

= $93

The probability that student chose running is 9/49 .

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Consider the information as that 49 students choose to attend one of three after-school activities: football, tennis, or running.

11 students choose football,  29 students choose tennis.

The students choose running = 49 - 11 - 29 = 9.

The students choose running = 0

This means out of 49 students 9 choose running.

P(E) = 9/49

Hence, the probability that student chose running is 9/49 .

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The right triangle has a hypotenuse of 80in and its shortest leg is 48in.

You can make a sketch of the triangle to visualize the figure:

To determine the measure of the missing leg you can apply the Pythagorean theorem. This theorem states that the square of the hypothenuse (c) of a right triangle is equal to the sum of the squares of its legs (a and b) so that:

The missing side is the longers leg "b", to determine its length you have to write the expression above for b.

To do so, first, pass a² to the right side of the expression by applying the opposite operation to both sides of it, which means you have to subtract it:

Second, since we need to find the value of b, is to calculate the square root of b², so that the exponent is canceled, and, for the equality to be valid, any operation that is done to one side of the equation must be done to the other side, so you have to apply the square root to both sides of the equal sign:

Now that we have the formula to calculate b, what is left is to replace it with the known measures of the triangle c=80 and a=48

The measure of the other leg of the right triangle is 64in.

Answer:

x= 4 and y=7

Step-by-step explanation:

Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.

Because of this the two equations are true

7= 4+3 (True)

Answer:

y=2x+8.5

Step-by-step explanation:

the equation for the table is y=2x+7

i picked two ordered pairs to find the rate

(13-9)/(3-1) = 2

2 is the rate

From the given information, the probability of getting at least one head in two coin tosses is 3/4 or 0.75.

A coin toss is a random event in which a coin is flipped and the outcome is either heads or tails. The outcome of a coin toss is not dependent on any previous tosses, and each toss is considered to be independent of the others.

The probability of getting at least one head in two coin tosses can be calculated as follows:

There are four possible outcomes when tossing two coins: HH, HT, TH, and TT, where H represents heads and T represents tails. Out of these four outcomes, three have at least one head (HH, HT, TH), and only one has no heads (TT).

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Answer:

c. y + 268 = 12(x + 20)

Step-by-step explanation:

plug in -1 for x and you'll get -40

The expression that most accurately describes the change in the patient's temperature is -2° (3).

Option 3 is the correct answer.

We have,

The expression that most accurately describes the change in the patient's temperature would be:

-2° + (-2°) + (-2°)

This expression represents the successive temperature drops of 2° each time.

By adding the negative values, we account for the decrease in temperature.

This can be written as,

= -2° x 3

= -2° (3)

Thus,

The expression that most accurately describes the change in the patient's temperature is -2° (3).

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Answer:

Answer:

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

x + y = 4.25

16.90x + 4y = 36.35

1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.

2.

x + y = 4.25 (1)

16.90x + 4y = 36.35 (2)

Multiply (1) by 4

4x + 4y = 17 (3)

16.90x + 4y = 36.35 (2)

Subtract (3) from (2)

16.90x - 4x = 36.35 - 17

12.90x = 19.35

Divide both sides by 12.90

x = 19.35 / 12.90

= 1.5

x = 1.5 yards

Substitute x = 1.5 yards into (1)

x + y = 4.25

1.5 + y = 4.25

y = 4.25 - 1.5

= 2.75

y = 2.75 yards

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

The statement which says "The intersection of three planes can be a ray." is; True

In terms of line segments, the intersection of a plane and a ray can be a line segment.

Now, for the given question which states that the intersection of three planes can be a ray. This statement is true because it meets the definition of plane intersection.

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Answer:

False

Step-by-step explanation:

Saw a one star rating on the other answer, so I put false as my answer and got it correct.

The 2 unknown numbers are 4 and 5 .

Let the numbers be x and x + 1.

From the given information,

\(\dashrightarrow\sf \ \ \ x^2 + (x + 1)^2 = 41 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 = 41 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 - 41=0 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ {x}^{2} + x - 20 = 0 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ (x + 5)(x - 4)=0 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \red{x = - 5,4}}}}} \ \bigstar \\ \\ \)

But, as we know -5 is not a natural number,

Hence, x = 4 .

So the 2 unknown numbers are :

★ Solution :

Let the number be x and x + 1.

\(\rule{130}1\)

\(\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}\)

\(:\implies\sf x^2 + (x + 1)^2 = 41 \\\\\\:\implies\sf 2x^2 + 2x + 1 - 41 = 0\\\\\\:\implies\sf 2x^2 + 2x + 40 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + 5x - 4x - 20 = 0\\\\\\:\implies\sf x(x + 5) - 4(x + 5) = 0\\\\\\:\implies\sf (x + 5)(x - 4) = 0\\\\\\:\implies\underline{\boxed{\sf x = -5, 4}}\)

⠀

We know that -5 is not a natural number. Hence, x = 4.

\(\therefore\:\underline{\textsf{The two consecutive natural number is \textbf{4 and 5}}}.\)

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

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Answer:

B. 25

Step-by-step explanation:

30 + 35 + 10 = 75

100 - 75 = 25

Answer:

it's B (25%) players play the woodwinds.

Step-by-step explanation:

35% + 10% + 30%= 75%

100% - 75%= 25%

Answer:

7-(a-2)

Step-by-step explanation:

The most appropriate level of measurement for the Monthly Rainfall is (d) Ratio .

Ratio measurement is used for variables where the values have a meaningful order, the differences between them are meaningful, and there is a true zero point. For example, height, weight, or time.

In the case of monthly rainfall,

(i) the values have a meaningful order (more rainfall or less rainfall),

(ii) the differences between the values are meaningful (0.2 inches difference),  

(iii) there is true zero point  (month with 0 inches of rainfall).

Therefore, the most appropriate level of measurement is Ratio .

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

Monthly rainfall: 3.4 in, 3.6 in, 3.8 in, 4 in, and 4.2 in

Choose the correct answer below.

(a) Nominal

(b) Ordinal

(c) Interval

(d) Ratio

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Answer:

4.5yards and 6 yards is your rectangle measurement

Step-by-step explanation:

I think it is $4,821 because that is what I got as an answer. I hope this helped!

Answer:

She would have $1080 dollars in 48 months.

Step-by-step explanation:

So she earned 8% interest in 48 months.

So you find 8% of 1000 and that would be 80 and add 80 to 1000 because she gained 80 dollars in interest over 48 months so in 48 months she has $1080 dollars.

The given problem involves evaluating an integral using the technique of change of variables. The idea of change of variables is to transform the given integral into a new integral that is easier to evaluate.

In this problem, we are given the integral over a parallelogram enclosed by four lines, and we are asked to make an appropriate change of variables to simplify the integral. To do this, we need to select a suitable transformation that maps the original domain of integration onto a new domain, and that simplifies the integrand. One possible transformation is to use the substitution u = x - 5y and v = 6x - y, which maps the parallelogram onto a rectangle in the uv-plane.

By using this transformation, we can express the given integral as a double integral over the new domain, and we can simplify the integrand using the Jacobian of the transformation. The change of variables technique is a powerful tool in calculus, and it allows us to solve many complex problems that would be difficult or impossible to solve using standard techniques.

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Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

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