The scores on a midterm exam were normally distributed with a mean of 75 and a standard deviation of 5. What is the standard score for an exam score of 87​?

Step-by-step explanation:

plase see it i work by paper worksheet

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

5

Step-by-step explanation:

AB as the opposite side of the triangle

BC as the adjacent of the triangle.

sin30°= AB/10

AB = 10sin(30°)

AB = 5

Answer:

35 inches

Step-by-step explanation:

trough subtitution method and destributive equation

The Brady & Matthew Camera Company has recently introduced its latest high-quality digital camera designed for professional use.

1. The Brady & Matthew Camera Company: The company known as Brady & Matthew Camera is the manufacturer of the newly released digital camera.

2. Newest professional quality digital camera: The recently launched camera by Brady & Matthew Camera Company is their latest product in their lineup of professional-grade digital cameras.

3. Features: The new camera is equipped with advanced features that cater to the needs of professional photographers, such as high-resolution image sensors, a wide range of ISO sensitivity, and customizable shooting modes.

4. Image Quality: The camera is designed to deliver exceptional image quality with sharp details, accurate colors, and low noise, ensuring professional-grade results.

5. Durability: The camera is built to withstand the rigors of professional use, featuring a robust body construction and weather sealing to protect against dust and moisture.

6. Ergonomics: Brady & Matthew Camera Company has paid attention to ergonomic design, ensuring that the camera is comfortable to hold and operate for extended periods.

7. Connectivity: The camera is equipped with various connectivity options, including Wi-Fi and Bluetooth, allowing photographers to transfer images wirelessly and control the camera remotely.

8. Accessories: Brady & Matthew Camera Company offers a range of compatible accessories for their new camera, including lenses, external flashes, and battery grips, expanding the capabilities of the camera system.

9. Market Availability: The new professional-quality digital camera by Brady & Matthew Camera Company is now available for purchase from authorized retailers and their official website.

10. Customer Support: The company provides reliable customer support services, including warranty coverage, technical assistance, and firmware updates to ensure a satisfying user experience.

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

The equation of the circle with the origin as centre and passing through the point A(-2;4)

The purchasing power in five years will be $15,476.

To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.

Plugging in X = 5, we have:

\(y = 20000(0.95)^5\)

Calculating the expression, we find:

\(y ≈ 20000(0.774)\)

Simplifying further, we get:

\(y ≈ 15480\)

Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.

Therefore, the closest option to the predicted purchasing power in five years is $15,476.

So the correct answer is:

$15,476.

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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.

To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.

The equation provided is: y = 20000(0.95)^x

Substituting x = 5 into the equation, we have:

y = 20000(0.95)⁵

Now, let's calculate the result:

y ≈ 20000(0.95)⁵

≈ 20000(0.774)

y ≈ 20000(0.774)

≈ 15,480

This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.

By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.

The example equation is: y = 20000(0.95)^x

When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵

Let's now compute the outcome:

y ≈ 20000(0.95)⁵ ≈ 20000(0.774)

y ≈ 20000(0.774) ≈ 15,480

This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.

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Answer:

Step-by-step explanation:

-4x-3=y

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Step-by-step explanation:

(((x3) - 2x2) - 4x) - 2 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-2x2-4x-2 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-2x2-4x-2

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -4x-2

Group 2: -2x2+x3

Pull out from each group separately :

Group 1: (2x+1) • (-2)

Group 2: (x-2) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3-2x2-4x-2

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

Answer: 7/13

Step-by-step explanation:

2(x-5)(x-3)/3(x-5)(x-2)

take (x-5) away from both

2x-3/3x-2

2(5)-3/3(5)-2

=7/13

Answer:

x=-4

Step-by-step explanation:

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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Answer:

45-21=s

(the answer is 24 btw. you can check this by adding 24 and 21 to get 45 c:)

Answer:

45-s=21

Step-by-step explanation:

The ice cream truck started with 45, so that is our original number. Then they sold s amount of ice cream sandwiches leaving them with 21. Therefore, 45-s is equal to the amount left over, 21. (s=24)

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

o.58 x 2465 = n (my calculator isn't working right now)

2465 - n = n

round to nearest number if needed and there's your answer

Answer:

30

Step-by-step explanation:

If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE

Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;

Since CE = 5x, CE = 5(6) = 30

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

(1/2)x+(1/4)=x

x=0.5

3x+3=2(x+7)

x=11

2(x-5)+7=x+8

x=11

0.8x+5=0.2(40-x)

x=3

5(x-1)-6x=-11x

x=0.5

6(x+2)-x=4(x+4)+7

x=11

(1/2)(x+8)+(3/2)x=10

x=3

Step-by-step explanation:

(1/2)x+(1/4)=x

x-0.5x=0.25

0.5x=0.25

x=0.5

3x+3=2(x+7)

3x+3=2x+14

3x-2x=14-3

x=11

2(x-5)+7=x+8

2x-10+7=x+8

2x-x=8+10-7

x=11

0.8x+5=0.2(40-x)

0.8x+5=8-0.2x

0.8x+0.2x=8-5

x=3

5(x-1)-6x=-11x

5x-5-6x=-11x

11x-x=5

10x=5

x=0.5

6(x+2)-x=4(x+4)+7

6x+12-x=4x+16+7

6x-4x-x=16+7-12

x=11

(1/2)(x+8)+(3/2)x=10

0.5x+4+1.5x=10

2x=6

x=3

Any of these 3 qnswers would work 229/45 5 4/45 5.08

Step-by-step explanation:

71/9=14/5+m

14/5-71/9

=-229/45