What should be done to solve the equation?
X- 17 = 11
Add 17 to both sides.
Add 17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.

The probability that Sam chooses either the day or the night shift is 0.93.

Probability is a fine conception that measures the liability or chance of an event being. It's expressed as a number between 0 and 1, with 0 indicating that an event is insolvable, and 1 indicating that an event is certain.

Given to the question.

Since Sam can only choose moreover the day shift or the night shift, and the events" choosing the day shift" and" choosing the night shift" are mutually exclusive (i.e., they cannot do at the same time), we can use the addition rule of probability to find the probability that Sam chooses either the day or the night shift.

The addition rule states that the probability of the union of two events A and B, denoted as P (A or B), is given by.

P (A or B) = P(A) P(B)- P (A and B)

where P (A and B) is the probability of the crossroad of events A and B.

Since Sam cannot choose both the day and night shift, P (A and B) = 0. thus, the probability that Sam chooses either the day or the night shift.

The addition rule states that the probability of the union of two events A and B, denoted as P (A or B), is given by:

P (A or B) = P(A) + P(B) - P (A and B)

where P (A and B) is the probability of the intersection of events A and B.

Since Sam cannot choose both the day and night shift, P (A and B) = 0. Therefore, the probability that Sam chooses either the day or the night shift is:

P (day or night) = P(day) + P(night) - P (day and night)

P (day or night) = 0.9 + 0.03 - 0

P (day or night) = 0.93

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Answer:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line given two points on that line, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Using the two points (-4, 0) and (0, -2) we can find the slope of the line:

m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -0.5

Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (-4, 0)

0 = -0.5(-4) + b

b = 2

So the equation of the line is y = -0.5x + 2

Answer: y = -1/2x - 2

Step-by-step explanation:

Using the 2 points you provided, you can find that the slope of the line is -0.5 or -1/2. Substituting this into y = mx + b, the equation is y = -1/2x - 2

Answer:

the answer should be D

Step-by-step explanation:

because my teacher told me the answer

Answer:

D

Step-by-step explanation:

rounding to the nearest tenth and rounding to the nearest hundredth

Edg2020

Answer:

97

Step-by-step explanation:

92+55=147

180-147=33

85+45=130

180-130=50

50+33=83

180-83=97

A standard piece of paper typically has dimensions of 8.5 inches by 11 inches (21.59 cm by 27.94 cm).

These dimensions refer to the North American standard paper size known as "Letter" or "US Letter." It is commonly used for various purposes such as printing documents, letters, and reports. The dimensions are based on the traditional imperial measurement system, specifically the United States customary units. The longer side of the paper is known as the "letter" or "long" side, while the shorter side is called the "legal" or "short" side.

The 8.5 by 11 inch size provides a versatile and widely accepted format for printing and documentation needs.

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Pick the last choice.

Please mark brainliest, I had to give go ogle a bj for this answer.

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

10

Step-by-step explanation:

−6+14−9−(−3)+8

=8−9−(−3)+8

=−1−(−3)+8

=2+8

=10

-6 + 14 - 9 - (-3) + 8

8 - 9 - (-3) +8

-1 + 3 + 8

2 + 8

10

The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

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Answer:

I think it's -6. I have no idea

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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If the perimeter of XYZ is 26 then the answer will be 6.5.

What is composition of transformation?

A composition of transformations combines two or more transformations that were separately applied to the prior image. The result of a composition of reflections along parallel lines is identical to that of a translation (twice the distance between the parallel lines).

What is Perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Given;

The composition of transformations Ry=-5 r (90,A) maps ABC to XYZ .

the perimeter of XYZ is 26

ΔABC is the reflection of ΔXYZ which is transformed with angle 90°.

So,the answer will be \(26\div 4 = 6.5\).

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Answer:

c or d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

80° is the correct answer

Step-by-step explanation:

The angle B is 100° because of the property of  the vertically opposite angle.

As we know the property consecutive interior angle that the sum of two angle is 180°

So

Angle B + Angle X  =180°

100 °+ Angle X =180°

Angle X=180°-100°

Angle X = 80°

The statement that correctly compares the water bills for the two neighborhood is D. The range of water bills on Pine Road is higher than the range of water bills on Front Street.

The minimum water bill on Pine Road is $100, while the maximum is $250.

The minimum water bill on Front Street is $100, while the maximum is $225.

Therefore, the range of water bills on Pine Road (250 - 100 = 150) is higher than the range of water bills on Front Street (225 - 100 = 125).

The other statements are not correct. The overall water bills on Pine Road and Front Street are about the same. There are more homes on Front Street with water bills above $225, but there are also more homes on Pine Road with water bills below $150.

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Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 residents from two different neighborhoods are displayed in the histograms. 2 histograms. A histogram titled Pine Road Neighbors has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8. A histogram titled Front Street Neighbors has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 5; 125 to 150, 7; 150 to 175, 8; 175 to 200, 5; 200 to 225, 8; 225 to 250, 7. Which statement correctly compares the water bills for the two neighborhoods? Overall, water bills on Pine Road are less than those on Front Street. Overall, water bills on Pine Road are higher than those on Front Street. The range of water bills on Pine Road is lower than the range of water bills on Front Street. The range of water bills on Pine Road is higher than the range of water bills on Front Street.

Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Given:

Dimensions of the cube: 14 × 14 × 14

The height of the square pyramid: 24

To find:

The volume of the given solid.

Step-by-step solution:

We know that:

The volume of the cube = a³

The volume of the square pyramid = a² (h/3)

The Total volume of the figure = The volume of the cube + The volume of the square pyramid.

The Total volume of the figure = a³ + a² (h/3)

The Total volume of the figure = (14)³ + (14)² (24/3)

The Total volume of the figure = 2744 + 196 × 8

The Total volume of the figure = 2744 + 1568

The Total volume of the figure = 4312 cube units

Final answer:

Thus we can say that the final volume of the figure is 4312 cube units.

The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

Answer:

to be honest I believe it is D

Step-by-step explanation:

sorry if i'm wrong

Answer:

38.46

Step-by-step explanation:

Percentage Calculator: 20 is what percent of 52? = 38.46.

Answer:

11/24

Step-by-step explanation:

Answer:

11/24

Step-by-step explanation:

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Therefore , the solution of the given problem of equation comes out to be the line's y-intercept is 20, and its x-intercept is 0.8.

The equation y=mx+b serves as the basis for a recovery model based on linearity. B is the inclination, and m is the y-intercept. The above sentence is usually referred to as the "mathematical difficulty with two variables" even if y but also y are different components. Bivariate linear equations have two components. For applications of linear functions, there are no easy solutions.

Here,

We set y=0 and solve for x to determine the line's x-intercept:

=> 2.5x + 0.1(0) = 2

=> 2.5x = 2

=> x = 2/2.5

=> x = 0.8

Hence, 0.8 is the x-intercept.

We set x=0 and solve for y to determine the line's y-intercept:

=> 2.5(0) + 0.1y = 2

=> 0.1y = 2

=> y = 20

Hence, 20 is the y-intercept.

As a result, the line's y-intercept is 20, and its x-intercept is 0.8.

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The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Simplification of the given expressions in the exponential form is given by :

1. (n^2)^5 = n¹⁰

2. (7^4)^4 = 7¹⁶

As given in the question,

Given expressions are as follow:

1. (n^2)^5

Simplification of the given expression using exponential rule is:

(m^a)^b = mᵃᵇ

Here value of m = n

value of a = 2

value of b = 5

(n^2)^5

= n⁽²⁾⁽⁵⁾

= n¹⁰

2. (7^4)^4

Here value of m = 7

value of a =4

value of b = 4

(7^4)^4

= 7⁽⁴⁾⁽⁴⁾

= 7¹⁶

Therefore , the value of the given expressions in the exponential form is written as:

1. (n^2)^5 = n¹⁰

2. (7^4)^4 = 7¹⁶

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Answer:

Not enough information to answer this question.