A foreign country uses the stellar as its currency. Before a trip to that​ country, Jon wants to exchange ​$1,500 to stellars. Which of Bank A and Bank B has the better exchange​ rate? How many more stellars would he get if he exchanged his ​$1,500 at the better exchange rate instead of at the other​ rate?

Answer:

the angle are 50, 47, 83

Step-by-step explanation:

we know that the sum of the three angles of the triangle is 180 degree

now, 4x+22+3x+26+9x+20=180

x=7

the angle are 50, 47, 83

The percentage of the data set within the range of 10 to 22 is 68.26%.

To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.

First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:

\(z1 = (10 - 16) / 6 = -1.0\)

\(z2 = (22 - 16) / 6 = 1.0\)

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.

Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.

Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.

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Therefore, there are 21 possible selections of two individuals from a group of seven people.

In mathematics, a combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter. Combinations are also known as unordered selections or combinations without repetition. The number of combinations of k objects that can be selected from a set of n distinct objects is denoted by "n choose k" and is given by the formula: n choose k = n! / (k! (n - k)!) where n! is the factorial of n, defined as the product of all positive integers up to and including n, and k! and (n-k)! are the factorials of k and n-k, respectively. In words, this formula says that the number of combinations of k objects that can be selected from a set of n objects is equal to the number of ways to arrange k objects out of n, divided by the number of ways to arrange the remaining n-k objects.

Here,

To determine the number of possible selections of two individuals from a group of seven people, we can use the formula for combinations:

nCk = n! / (k! (n - k)!)

where n is the total number of individuals in the group, and k is the number of individuals to be selected. In this case, we want to select 2 individuals from a group of 7, so we have:

n = 7

k = 2

Substituting these values into the formula, we get:

7C2 = 7! / (2! (7 - 2)!)

= 7! / (2! 5!)

= (7 x 6 x 5!) / (2 x 1 x 5!)

= (7 x 6) / (2 x 1)

= 21

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Answer:

(x-5)(3x+1)=0

x= 5, x= -1/3

Step-by-step explanation:

3x²-14x=5

3x²-14x-5=0

The factor that goes in are 1 and -15 which equal the sum and products.

Sum: -14

Product: -15

Therefore:

3x²+x-15x-5 = 0

Factor by grouping:

x(3x²+x)  -5(-15x-5)

x(3x+1) -5(3x+1)

(x-5)(3x+1) = 0

Use Zero Product Property to solve for X

x-5 = 0  3x+1 = 0

x= 5, x= -1/3

Answer:

6

Step-by-step explanation:

dfsfads

Answer:

x = 2

Step-by-step explanation:

This is an isosceles triangle, which means at least two sides are equal.

Set x + 3 equal to 3x-1 and solve for x.

x + 3 = 3x -  1 --- subtract x and add 1 to opposite sides.

4 = 2x --- divide 2 to each side.

2 = x

Answer:

2x - 13

Step-by-step explanation:

If x represents the greater number, then the other number is x - 13. The sum of these two numbers is:

x + (x - 13) = 2x - 13

Step-by-step explanation:

We can start by finding the number of stamps in one book:

Number of stamps in 1 book = 20

To find the number of stamps in 4 books, we can multiply the number of stamps in one book by 4:

Number of stamps in 4 books = 20 x 4 = 80

To find the number of stamps in 12 books, we can use the information given in the problem that there are 380 stamps in 19 books:

Number of stamps in 19 books = 380

Number of stamps in 1 book = 380/19

Number of stamps in 12 books = (380/19) x 12 = 240

Therefore, there are 80 stamps in 4 books, and 240 stamps in 12 books.

Answer:

80 stamps, 240 stamps

Step-by-step explanation:

20*4

= 80 stamps

20*12

= 240 stamps

Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

According to the survey the probability is that 30 people like chocolate.

Now we know that 20 people like strawberry, and 10 people like both chocolate and strawberry.

Therefore to determine how many people like chocolate we know that

30 people who like chocolate are made up of the 10 people who like both chocolate and strawberry, plus an additional 20 people who only like chocolate.

Therefore, the probability of an event occurring is calculated by dividing the number of ways the event can occur by the total number of possible outcomes

Probability = 30 / (30+20+10) = 30/60 = 0.5

Therefore, 30 people in total like chocolate.

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To check which point satisfies the inequality 2x + y > 10, we substitute each value of x and y in the equation.

A. 2(2) + 3 > 10

    7 > 10

  This is incorrect. So the point does not satisfy the expression.

B. 2(3) + 2 > 10

    8 > 10

    This is also incorrect.

C. 2(4) + 3 >10

     11 > 10

     This is correct since 11 is greater than 10. So point (4,3) satisfies the inequality.

D. 2(3) + 4 > 10

    10 > 10

 This is also incorrect.

What is inequality?

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Answer:

reduction of interest rates, late fees and other charges, and reduction in the amount of your monthly payment.

Step-by-step explanation:

hope it helps

The total number of ways of selecting the committe is; 2100 ways

The formula for probability combinations is;

\(^{n} C_{r}\) = n!/(r!(n - r)!)

We need to first multiply all the combinations since the committee definitely has:

One  chair, a vice chair, a secretary, and 4 additional people. Thus;

¹⁰C₁ * ⁹C₁ * ⁸C₁ * ⁷C₄

Now we know that there can only be seven people chosen from the ten  given people so that combination will look like this;

⇒¹⁰C₇

So the total number of ways in which the selection of committee members can be done is by the selection of required members out of the total selected members.

It can be represented as follows:

(¹⁰C₁ * ⁹C₁ * ⁸C₁ * ⁷C₄)/¹⁰C₇

= 210

But we also need to keep in mind that there are ten different people who can be chosen as the chair, vice chair or secretary so;

210 * 10 = 2100 ways

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In order to find how much stronger was the first gust than the second, we just need to subtract their values.

So we have that:

So the strongest wind gust was 4 miles per hour stronger than the second strongest wind gust.

Answer:

it is A . I hope its helpful

If Joanna French's washing lines needs 16.11 metres of line to go around her garden three times, we can multiply 16.11 by three to get the length that one stretch. We get 5.37 metres as a result.

The lengths of the three portions of the line must be added up in order to determine the length across the backyard. The entire length of the path is 16.11 metres, which can be calculated by multiplying 5.37 by 3.

The 16.11 metres that separate Jo French's backyard are the result. This figure is predicated on the laundry line being strung across the garden in a straight path without sagging or curving.

It's crucial to keep in mind that the distance over the back yard may vary if the laundry line is not extended in a straight line. This estimate assumes that the laundry line is the only object using space in the backyard, therefore, the real length across the yard may differ if other items or impediments are present.

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three inequalities are below

x ≥ 1 (at least one banana)

y ≥ 1 (at least one apple)

x + y ≤ 5

Saira must buy 4 bananas and 1 apple for the shopkeeper to get the maximum profit.

a. Let's write down the three inequalities:

Let x represent the number of bananas and y represent the number of apples Saira must buy.

1. Saira must buy at least one of each fruit:

x ≥ 1 (at least one banana)

y ≥ 1 (at least one apple)

2. The capacity of her basket is not more than 5 fruits:

x + y ≤ 5 (capacity constraint)

3. The shopkeeper's profit on each banana is Rs. 26 and on each apple is Rs. 10:

Total profit = 26x + 10y

b. Let's draw the graphs on the same axis to show these conditions:

First, let's graph the line x = 1, which represents the condition of buying at least one banana:

- Draw a vertical line passing through x = 1.

Next, let's graph the line y = 1, which represents the condition of buying at least one apple:

- Draw a horizontal line passing through y = 1.

Finally, let's graph the line x + y = 5, which represents the capacity constraint of the basket:

- Plot the points (5, 0) and (0, 5) and draw a line passing through these points.

c. Now, let's shade the area containing the solution set:

- Shade the region above the line x = 1 (including the line).

- Shade the region to the right of the line y = 1 (including the line).

- Shade the region below and to the left of the line x + y = 5 (including the line).

d. To determine the number of each fruit Saira must buy for the shopkeeper to get the maximum profit, we need to find the corner point within the shaded region that maximizes the total profit.

By evaluating the profit function at each corner point, we can determine the maximum profit:

Corner Point 1: (1, 1)

Profit = 26(1) + 10(1) = 36

Corner Point 2: (1, 4)

Profit = 26(1) + 10(4) = 66

Corner Point 3: (4, 1)

Profit = 26(4) + 10(1) = 114

The maximum profit is obtained at Corner Point 3: (4, 1).

Therefore, Saira must buy 4 bananas and 1 apple for the shopkeeper to get the maximum profit.

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Answer:

w

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

12/5

Step-by-step explanation:

4/5 x 3 = (4 x 3)/5 = 12/5 (2 and 2 fifths)

Answer:

Simplified:

Step-by-step explanation:

Given equation:

Multiply ONLY the numerator with the whole number to get the answer:

Simplify:

Answer:

your answer would be 19=x

Answer:

m <5 = 65°

m<8 = 115°

Step-by-step explanation:

m<2= m<5 = 65° (vertically opposite angles are equal)

m<5 + m<4 = 180 (co-int angles, parallel lines)

65+ m<4 =180

m<4 = 115°

Therefore

m<4=m<8 = 115° (vertically opposite angles are equal)

Answer:

m<5 = 65 degrees  m<8 = 115 degrees

Step-by-step explanation:

m<2 = 65 degrees

m<2 = m<5 so

m<5 = 65 degrees

A line is 180 degrees, so

180 degrees - 65 degrees = 115 degrees

m<8 = 115 degrees