which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c

Given:

The semicircle with dimeter 6 cm.

Required:

FInd the area.

Explanation:

We have figure of semicircle and area of semicircle

Radius is half of diameter. That is radius equal 3cm.

Answer:

A) C) D)

Step-by-step explanation:

We can simply divide them to find out the answer.

A) 100/4=25

B)150/10=15

C)225/9=25

D)275/11=25

E)100/5=20

Answer:

-26

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

sorry for no explanation

Answer:

tw ni oe haso layo esma question sodnww aokos

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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fv(40,20) ≈ (f(40.1,20) - f(40,20))/0.1 , ft(40,20) ≈ (f(40,20.05) - f(40,20))/0.05 are the required functional estimations of a given representations.

However, we can estimate the partial derivatives with respect to x (fv) and y (ft) at the point (40,20) using the definition of partial derivatives:

fv = ∂f/∂x ≈ (f(40+h,20) - f(40,20))/h

where h is a small increment in the x direction. Similarly,

ft = ∂f/∂y ≈ (f(40,20+k) - f(40,20))/k

where k is a small increment in the y direction.

To estimate fv(40,20) and ft(40,20), we need to choose small values of h and k and evaluate the function at the corresponding points. Let's say h = 0.1 and k = 0.05:

fv(40,20) ≈ (f(40.1,20) - f(40,20))/0.1

ft(40,20) ≈ (f(40,20.05) - f(40,20))/0.05

We can then use these estimates to approximate the value of f(40.1,20.05) using the first-order Taylor approximation:

f(40.1,20.05) ≈ f(40,20) + fv(40,20)0.1 + ft(40,20)0.05

Note that this is an approximation and may not be very accurate if the function is highly nonlinear or has discontinuities. However, it can give us a rough idea of the value of f(40,20) and how it changes with small variations in x and y.

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The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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Jennifer Davis will earn $910.00 in simple interest on her investment.

The principal amount is $2,600.

The interest rate is 7% per year.

The time period is 5 years.

To calculate the simple interest, we can use the following formula:

simple interest = principal * interest rate * time

Plugging in the values for the principal, interest rate, and time period, we get:

simple interest = 2600 * 0.07 * 5 = 910

Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.

In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.

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The equivalent radian measure for 10 degrees is approximately 0.1745 radians.

To find the equivalent radian measure for 10 degrees using the given proportion, we can set up the equation:

d/180° = r/π radians

Plugging in 10 degrees for d, the equation becomes:

10°/180° = r/π radians

Simplifying the left side of the equation:

1/18 = r/π radians

To find the value of r, we can cross-multiply:

r = (1/18)  π radians

Calculating the right side of the equation:

r ≈ 0.1745 radians (rounded to four decimal places)

Therefore, the equivalent radian measure for 10 degrees is approximately 0.1745 radians.

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Answers

2x+3y=4

A=2 , B=3 , C=4

step by step:

2x+3y=2  the slope is -2/3

3y=-2x+2

y=-2/3 x+2

parallel line have the same slope: -2/3

the equation of parallel line that passes through point (2,0) y=mx+b

find b

2(2)+3(0)=b

4+0=b

b=4

the equation will be

2x+3y=4

to check : graph the equations:

Answer:

the slope is rhe same -2

Step-by-step explanation:

the slope is the opposite +1/2

The statement that describes when the plans are based on the same number of aerobic exercise sessions is:

The number of strength-training exercises and aerobic exercises per week is calculated as follows:

Let a be the number of strength-training exercises and b be the number of aerobic exercises per week respectively.

For the beginner plan:

15a + 20b = 90  eqn. (1)

For the advanced plan:

20a + 30b = 130 eqn. (2)

Solving the simultaneous equation by elimination method:

Multiply eqn. (1) by 3 and eqn. (2) by 2

45a + 60b = 270 eqn. (3)

40a + 60b = 260 eqn. (4)

Subtract eqn. (4) from eqn. (3)

5a = 10

a = 2

Substitute a = 2 in eqn (2)

b = 3

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Complete question:

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.

The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.

The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:

\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)

where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.

Substituting the values, we get:

\(P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090\)

Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l

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The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%

To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour

and the Poisson distribution applies, follow these steps:

Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.

Use the Poisson probability formula:

P(k) =\((e^{(-\lambda)} \times\lambda^k) / k!,\)

where P(k) is the probability of k calls,

e is the base of the natural logarithm (approximately 2.71828),

λ is the average rate (3 calls per hour), and

k! is the factorial of k (6 in this case).

Calculate \(e^{(-\lambda)}: e^{(-3)} = 0.04979.\)

Calculate \(\lambda^k: 3^6 = 729.\)

Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.

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Answer:

the discount comes to $15 off

Step-by-step explanation:

percentages are reversible; 30% of 50 is the same as 50% of 30

Answer:

3

Step-by-step explanation:

5*3=15 and 12*3=36, and since it asks for the scale factor then the scale factor is 3.

The yummy bakery sold 216 roles and oh so good bakery sold 523 roles.

Given is that yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls.

We can write the relation as -

2x - 9 + x = 639

3x - 9 = 639

3x = 648

x = 216

So, we can write -

2x - 9 = 2 x 216 - 9 = 532 - 9 = 523

Therefore, the yummy bakery sold 216 roles and oh so good bakery sold 523 roles.

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∠BCF and ∠GHF are corresponding angles.

The correct answer is an option (C)

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a line that intersects two or more lines at distinct points."

For given question,

line AD are line GJ are parallel line.

line KF is transversal which intersects line AD at point C and line GJ at point H.

line EL is  a perpendicular line to line AD are line GJ

We know that corresponding angles is any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Therefore, ∠BCF and ∠GHF are corresponding angles.

The correct answer is an option (C)

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Answer:

C.

Step-by-step explanation:

A concave polygon must have atleast an internal angle which is greater than other angles.

\({ \underline{ \blue{ \sf{christ \: † \: alone}}}}\)

Answer:

8,036 here is the answer

Answer:

8 036 here is answer

Step-by-step explanation:

I just calculated

Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.

To use this function in Excel, you need to provide the range of x-values and the range of y-values.

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Answer:

21/26

Step-by-step explanation:

In the simplest categorization, English has 26 alphabets. Out of which, 5 are vowels and rest 21 are consonants.

so the fraction would be 21/26

Answer: 140%

Step-by-step explanation:

Answer:

140%

Step-by-step explanation:

BRAINLIEST PLSSSS

Answer:

D) 900 in.3

Step-by-step explanation:

Volume = (base area)^2 times (height divided by 3)

300^2 * 3/3

Answer:

its b

Step-by-step explanation:

The leftmost vertex is (0, 4), and the rightmost vertex is (2.5, 0). Therefore, the smallest x-value (a, b) is 0, and the largest x-value (a, b) is 2.5.

The extreme points of the feasible region in linear programming are the vertices of the polygon formed by the constraints. The smallest x-value is the leftmost vertex, and the largest x-value is the rightmost vertex.

The extreme points of the feasible region are the vertices of the polygon formed by the constraints of the linear programming problem. Each vertex represents a unique combination of values for the decision variables that satisfies all of the constraints.

The smallest x-value (a, b) of the extreme points corresponds to the leftmost vertex of the feasible region, and the largest x-value (a, b) corresponds to the rightmost vertex of the feasible region.

For example, consider the following linear programming problem:

Maximize 3x + 2y

Subject to:

x + y ≤ 4

2x + y ≤ 5

x, y ≥ 0

The feasible region is a polygon with vertices at (0, 0), (0, 4), (1.5, 2.5), and (2.5, 0). The leftmost vertex is (0, 4), and the rightmost vertex is (2.5, 0). Therefore, the smallest x-value (a, b) is 0, and the largest x-value (a, b) is 2.5.

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To find the probability (P(H > 74.6)), calculate the cumulative probability of the standard normal distribution for the z-score corresponding to 74.6 inches.

First, we calculate the z-score using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, the z-score is (74.6 - 66) / 5 = 1.72. Next, we look up the cumulative probability in the standard normal distribution table corresponding to a z-score of 1.72. From the table, we find the cumulative probability to be approximately 0.9564. Since we want the probability of heights greater than 74.6 inches, we subtract the cumulative probability from 1: 1 - 0.9564 = 0.0436.

Therefore, the probability that a student in this class has a height greater than or equal to 74.6 inches is approximately 0.0436, which is approximately equal to 0.0427 (rounded to four decimal places). So the answer is option (a) 0.0427.

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The dividend is represented by synthetic division is \(\rm 2x^3 + 10x^2 + x + 5\).

Given

A vertical line and a horizontal line combine to make an L shape.

There are two rows of entries within the shape.

Row 1 has entries 2, 10, 1, 5.

Row 2 has entries blank, -10, 0, -5.

Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1.

Entry -5 is on the outside to the left of the shape.

The entry represents the zero of the divisor.

This entry to the variable (assume the variable is x) is;

\(\rm 2x^3 + 10x^2 + x + 5\)

Hence, the dividend is represented by synthetic division is \(\rm 2x^3 + 10x^2 + x + 5\).

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Answer:

B.) 2x^3+10x^2+x+5

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If you plug in 5 for x and 3 for y then the equation would be 3(5)+5(3) or 15+15.

Answer:

12

Step-by-step explanation:

4x+12+10x=180

14x+12=180

14x=168

x=12

Answer:

pi 7^2 - 20

Step-by-step explanation:

area of the circle - area of the square

The mean for the girls is estimated to be 56.0% of the mean for the boys.

To estimate the mean for the girls as a percentage of the mean for the boys,

we need to calculate the mean for the boys.

We can use the midpoint method to estimate the mean.

The midpoint of each class interval is given in the table, so we can multiply each midpoint by the corresponding frequency and add up the results.

Then, we can divide by the total number of boys (40) to get the mean.

(18 * 20 + 30 * 9 + 50 * 7 + 60 * 6) / 40

= 348 / 40

= 8.7

So the mean for the boys is £8.70.

To get the percentage of the mean for the girls, we can divide the mean for the girls (£48.80) by the mean for the boys (£8.70) and multiply by 100:

£48.80 / £8.70 * 100

= 56.0%

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