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Find the area of the triangle below. The area of the triangle is
in
17 in
8in.
10 in.
15 in
6 in

The correct statement which expresses the number correctly is "In 2,015 we had over 5,400 employees; today we have only 4,500."

Hence, the correct answer is option b.

Sentence B is the correct one as it uses the standard format for expressing large numbers, which is to use commas as the thousands separator. This format is widely accepted in English-speaking countries and is recommended by various style guides, including the Associated Press Stylebook and the Chicago Manual of Style.

Sentence A does not use any thousands separator, which can make the number harder to read and comprehend. Sentence C uses a period instead of a comma, which can cause confusion and is not a standard practice in English-speaking countries. Sentence D is not provided, so it cannot be evaluated for correctness.

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-- The given question is incomplete, the complete question is

"Which sentence expresses numbers correctly? a. In 2015 we had over 5400 employees; today we have only 4500. b. In 2,015 we had over 5,400 employees; today we have only 4,500. c. In 2015 we had over 5.400 employees: today we have only 4,500." --

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

1/5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3  x  12 ÷ (4 + 2)

3 x 12 ÷ 6

36 ÷ 6

therefore the answer is: 6

Answer:

y=x+3

Step-by-step explanation

The slope intercept form equation is y=mx+b. m is the slope and b is the y intercept. In this scenario, plug it back in to m and b. m=1 and b=3 so it would be y=1x+3. However, we don't include the one so it would just be y=x+3

Answer: is 15

GCF of 45 and 60 is the largest possible number that divides 45 and 60 exactly without any remainder. The factors of 45 and 60 are 1, 3, 5, 9, 15, 45 and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 respectively. There are 3 commonly used methods to find the GCF of 45 and 60 Euclidean algorithm, long division, and prime factorization.

Answer:

15

Step-by-step explanation:

Rawlings will need to sell approximately 46,678 zero-coupon bonds to raise $37,100,000.

To calculate the number of bonds Rawlings needs to sell, we can use the formula for the present value of a bond. The formula is:

PV = (FV / \((1 + r)^n\))

Where PV is the present value (the amount Rawlings wants to raise), FV is the future value (the face value of the bonds), r is the market yield, and n is the number of periods.

Given that Rawlings wants to raise $37,100,000, the face value of each bond is $1,000 (per value), and the market yield is 7.6% (or 0.076 as a decimal), we can rearrange the formula to solve for n:

n = ln(FV / PV) / ln(1 + r)

Substituting the values, we get:

n = ln(1000 / 37100000) / ln(1 + 0.076)

Using a financial calculator or spreadsheet software, we can calculate n, which comes out to be approximately 46,678. This means that Rawlings will need to sell around 46,678 zero-coupon bonds to raise the desired amount of $37,100,000.

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The probability that a sample of five parts from a production process that produces 3% defective parts contains exactly two defective parts is approximately 0.2834.

To find this probability, we can use the binomial probability formula:

P(X = 2) = (5 choose 2) * 0.03^2 * (1 - 0.03)^3

Where "X" is the number of defective parts in the sample, "5 choose 2" represents the number of ways to choose 2 defective parts out of 5, and 0.03 and (1 - 0.03) represent the probabilities of selecting a defective and non-defective part, respectively.

Using a calculator, we can simplify and compute:

P(X = 2) = (5 choose 2) * 0.03^2 * 0.97^3

= 10 * 0.0009 * 0.9127

≈ 0.0081

Therefore, the probability is approximately 0.0081 or 0.81%.

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The image of the point (-1, -2, 0) under a dilation with center (0, 0, 0) and scale factor 3 is (-3, -6, 0).

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

Center = (0, 0, 0).

Point = (-1, -2, 0)

Scale factor = 3

A dilation with center (0, 0, 0) and scale factor k multiplies the coordinates of a point by k.

So, to find the image of the point (-1, -2, 0) under a dilation with scale factor 3, we multiply each coordinate by 3:

(-1, -2, 0) --> (3(-1), 3(-2), 3(0))

Image = (-3, -6, 0)

Hence, the image of the point (-1, -2, 0)is (-3, -6, 0).

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Answer:

4

Step-by-step explanation:

\(2+ 3 = 5 \\13-5= 8\\8 divided by 2=4 \\x=4\)

The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.

To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.

Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.

The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.

However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.

For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.

Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.

Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.

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Answer:

# of 5 dollar bills: 9

# of 1 dollar bills: 6

Step-by-step explanation:

9•5 = 45

1•6 = 6

To Check: 45 + 6=51

One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:

So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:

It is, therefore the number is 18.

First let's find how many kilometers the jeep traveled, by subtracting the odometer readings:

Now, to find the miles per gallon, we just need to divide the kilometers by the amount of gallons of gasoline:

So Harry got 17.8 miles per gallon with the Jeep.

As per given by the question,

There are given given that the equation,

The equation is,

Now,

For finding the value of x,

The given equation can be written as;

Now,

Hence, the value of x is -3.

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Given, The points are, J(3,2), K(-4,2) and L(-4,-3)

The distance formula is given by

d = √(x₂ - x₁)² + (y₂ - y₁)²

We need to calculate the distance from J to K, then from K to L, then from L to J. Finally, we add all the three distances to obtain the total distance,

JK distance:

JK = √(x₂ - x₁)² + (y₂ - y₁)²JK

= √((-4)-(3))² + (2-2)²JK

= √(-7)² + 0²JK = √49JK

= 7 units (as each unit represents 10 ft)KL distance:

KL = √(x₂ - x₁)² + (y₂ - y₁)²KL

= √((-4)-(-4))² + ((-3)-2)²KL

= √0² + (-5)²KL = √25KL

= 5 units (as each unit represents 10 ft)

LJ distance:

LJ = √(x₂ - x₁)² + (y₂ - y₁)²LJ

= √(3-(-4))² + (2-(-3))²LJ

= √(3+4)² + (2+3)²LJ

= √7² + 5²LJ

= √49 + 25LJ

= √74LJ

≈ 8.6 units (as each unit represents 10 ft)

Total distance sprinters sprint from J to K, then from K to L, then from L to J and then back to J.

Total distance = JK + KL + LJ + LJ

Total distance = 7 + 5 + 8.6 + 8.6

Total distance = 29.2 units

Total distance = 29.2 × 10 ft = 292 ft (to the nearest foot).

Hence, the total distance that players sprint during this drill is 292 ft.

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For the 4 night at the hotel, the answer is 290 since you insert 4 in where the x should be 150+35(4). For the second question, the answer is 8 since you subtract the money you have (430) by the parking cost (150). This lead to 280 and you divide it by the amount you need to spent on hotel charge per night (35) and you get 8. That means that you can spend 8 night at the hotel.

No, an isosceles triangle is not always a right triangle.

An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. The two equal sides are known as the legs, and the angle opposite the base is known as the vertex angle.

A right triangle, on the other hand, is a triangle that has one right angle (an angle measuring 90 degrees). In a right triangle, the side opposite the right angle is the longest side and is called the hypotenuse.

While it is possible for an isosceles triangle to be a right triangle, it is not a requirement. In an isosceles triangle, the vertex angle can be acute (less than 90 degrees) or obtuse (greater than 90 degrees). Only if the vertex angle of an isosceles triangle measures 90 degrees, then it becomes a right isosceles triangle.

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Answer:

2,000

Step-by-step explanation:

take 10×200 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

3

Answer:

30

Step-by-step explanation:

A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

3x - 40 = 50

3x = 90

x = 30

Since x was made to represent correct answers, the player had 30 correct answers.

Answer:

Y= 8X + 4

Step-by-step explanation:

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.857 or 85.7%.

The random variable X represents the outcome of the first test, where it takes on a value of 1 if the student passes and 0 if the student fails.

Similarly, the random variable Y represents the outcome of the second test, taking on a value of 1 if the student passes and 0 if the student fails. Given that the joint probability of passing both tests is 0.6, we can interpret this as the probability of X=1 and Y=1.

The marginal probability of failing the first test is 0.3, which can be represented as P(X=0). To find the conditional probability of passing the second test, given that the student passed the first test, we use the formula \(P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1).\)

Since we know that \(P(X=1 and Y=1) = 0.6, and P(X=1) = 1 - P(X=0) = 1 - 0.3 = 0.7\), we can substitute these values into the formula:
\(P(Y=1 | X=1) = 0.6 / 0.7\)

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The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.8571 or 85.71%.

The conditional probability of passing the second test, given that the student passed the first test, can be calculated using the formula for conditional probability:

P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1)

We are given that the joint probability of passing both tests is 0.6, which means P(X=1 and Y=1) = 0.6.

To find P(X=1), we need to use the marginal probability of failing the first test, which is given as 0.3. Since the marginal probability of passing the first test is the complement of failing the first test (i.e., 1 - 0.3 = 0.7), we can say P(X=1) = 0.7.

Now we can substitute these values into the conditional probability formula:

P(Y=1 | X=1) = 0.6 / 0.7

Simplifying this expression, we have:

P(Y=1 | X=1) = 0.8571

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Answer:

D.40°

Step-by-step explanation:

Angle U is congruent to angle S because UR = RS and UT=TS. Through that we now know U is also = 100°. A quadrilateral has to equal 360° degrees so 360°- 120° - 100°- 100° = 40° degrees

T is 40°

Answer:

its D. 40

hope that helped you

Answer: I can barley see that

Step-by-step explanation:

Answer:

give me brainliest plssss i need it

Step-by-step explanation: