If two triangles have equal perimeters, then they could also have which of the following? Select all that apply.

equal heights
equal bases
equal volumes
equal areas

The answer is  20.45 years. The mean age of the combined distribution of both men and women in the course is approximately 20.45 years.(Option-c)

Since we know the percentages of men and women enrolled in the sociology course, we can use them to calculate the weighted average of the mean ages for men and women.

Let the combined distribution of both men and women be represented by the random variable X. We know that X is a weighted average of the mean ages for men and women, with weights equal to their respective percentages. That is:

X = 0.54*M + 0.46*W

We're asked to find the mean age of X. To do that, we need to find the expected value of X, which is the same as the mean of X. So we need to calculate E(X):

E(X) = E(0.54*M + 0.46*W)

By linearity of expectation, we know that:

E(aX + bY) = aE(X) + bE(Y)

So we can simplify E(X) as:

E(X) = 0.54*E(M) + 0.46*E(W)

We're given the mean ages for M and W, so we can substitute these values into the equation:

E(X) = 0.54*20.7 + 0.46*20.2

Simplifying, we get:

E(X) = 20.45 years (option-c)

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Step-by-step explanation:

take the 1st eqn n divide it throughout by 3, the 3rd eqn n divide throughout by 4, all 3 equations will be the same as the 2nd one

The classification which best describes the system of equations is; Consistent and dependent

Discussion:

A linear or nonlinear system of equations as the case may be is termed consistent if there is at least one set of values for the unknowns that satisfies each equation in the system. In essence, when substituted into each of the equations, they make each equation hold true.

Additionally, the system of equations is dependent because the value of each variable is dependent on the others.

Therefore, when equation 1 and 3 are divided by 3 and 4 respectively; the equations become similar to equation 2.

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Answer:

PQ = 46

Step-by-step explanation:

PM = 6x - 49

MQ = 47 - 2x

6x - 49 = 47 - 2x

8x - 49 = 47

8x = 96

x = 12

PM = 6x - 49

      = 6(12) - 49

      = 23

MQ = 47 - 2x

      = 47 - 2(12)

      = 47 - 24

      = 23

PQ = PM + MQ

     = 23 + 23

     = 46

Answer:

1

Step-by-step explanation:

3/9 + 2/3

Simplify the first fraction by dividing the top and bottom by 3

1/3 + 2/3

Since the denominators are the same, add the numerators

3/3

1

Answer:

$19.44

Step-by-step explanation:

5.4 gallons in the ​12-gallon tank on the coldest day of the year.

1 gallon = $3.60

5.4 gallons = x

Cross Multiply

x = 5.4 gallons × $3.60 /1 gallon

x = $19.44

Therefore, you spent $19.44 on gas

In this problem, the salesperson contacts 8 potential customers per day and the probability of a potential customer making a purchase is 0.10.

We have to find the probability that the salesperson will make exactly two sales in a day. This is a binomial probability problem. The binomial probability distribution is a discrete probability distribution that is used when the outcome of an experiment is binary, i.e., it can take only two values. The binomial probability distribution is characterized by two parameters: n and p. The parameter n is the number of trials in the experiment, and p is the probability of success in each trial. In this problem,

n = 8, and p = 0.10.

To find the probability of exactly two successes in 8 trials, we can use the formula:

P(X = k) = nCk * p^k * (1 - p)^(n-k)

where X is the random variable that represents the number of successes in n trials, k is the number of successes we want to find, nCk is the number of combinations of n items taken k at a time, and p is the probability of success in each trial.Using this formula, we get:

P(X = 2) = 8C2 * (0.10)^2 * (0.90)^(8-2)= 28 * 0.01 * 0.43046721= 0.0120936

Therefore, the probability that the salesperson will make exactly two sales in a day is 0.0120936 or about 1.21%.

Thus, the salesperson will make exactly two sales in a day with a probability of 0.0120936 or about 1.21%.

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Answer: b = p - a -c  

Step-by-step explanation:

p= a + b + c  Solving for b means getting b on one side by itself.

p = a + b + c    To solve for b first subtract a from both sides to get,

-b         -b

p - a =  b + c   Now subtract  c from both sides   to get

-c              -c

p - a - c = b

b = p - a -c

Answer:

Step-by-step explanation:

Perimeter P = a + b + c

find b

P - a - c = b

b = P - a - c

The lower bound of [tex]\(p\) is \(14.25\)[/tex] and the upper bound is [tex]\(14.35\).[/tex]

The given truncated number is [tex]\(14.3\)[/tex]. To find the upper and lower bounds of [tex]\(p\)[/tex], we need to consider the possible range of values that could round to [tex]\(14.3\)[/tex] when truncated to 1 decimal place.

Lower bound: To find the lower bound, we need to consider the greatest number that rounds down to [tex]\(14.3\)[/tex]. This is obtained by subtracting 0.05 from the given truncated number:

[tex]\(\text{{Lower bound}} = 14.3 - 0.05 = 14.25\)[/tex]

Upper bound: To find the upper bound, we need to consider the smallest number that rounds up to [tex]\(14.3\)[/tex]. This is obtained by adding 0.05 to the given truncated number:

[tex]\(\text{{Upper bound}} = 14.3 + 0.05 = 14.35\)[/tex]

Therefore, the lower bound of [tex]\(p\) is \(14.25\)[/tex] and the upper bound is [tex]\(14.35\).[/tex]

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Answer:

B

Step-by-step explanation:

Hope this helps

Answer: D

Steps: CXLI = 141 seconds

Plz mark brainliest:)

The distance from the center of a circle to the edge is called the radius of the circle. In this case, the distance is given as 4 units.

Therefore, the radius of the circle is 4 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. If you want to find the circumference of the circle, you can use this formula by substituting the radius value.

The radius of a circle is the distance from the center of the circle to any point on the edge of the circle. If the distance from the center of the circle to the edge of the circle is 4, then the radius of the circle is 4.

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Answer:

I can

Step-by-step explanation:

i can

Answer:

A. By extracting square roots

1. x = 13

4. x = 6

2. b = 5/3

5. t = 9

3. y = 1/3

B. By factoring

1. x = -7

3. x = -7 or x = 2

2. m = -8 or m = -2

4. y = -5 or y = 1

C. By completing the square

1. x = 2 or x = 3

2. x = 10 or x = -8

3. x = 3 or x = -4

D. Using the quadratic formula

1. x = 2 or x = -7

2. x = 1 or x = -5

3. x = 3 or x = -4.5.

Step-by-step explanation:

A. By extracting square roots

1. x² = 169

Extracting square roots from both sides of the equation gives;

√(x²) = x and √169 = 13

∴ √(x²) = √169 = 13

x = 13

4. (x - 2)² = 16

Extracting square roots from both sides of the equation gives;

√(x - 2)²= √16 = 4

However;

√(x - 2)² = x - 2

∴ x - 2 = √16 = 4

x - 2 = 4

x = 4 + 2 = 6

x = 6

2. 9·b² = 25

√(9·b²) = √25 = 5

√(9·b²) = √9 × √(b²) = 3·b

∴ 3·b = √25 = 5

3·b = 5

b = 5/3

5. 2·(t - 3)² - 72 = 0

2·(t - 3)²  = 72

(t - 3)²  = 72/2 = 36

t - 3 = √36 = 6

t = 6 + 3 = 9

t = 9

3. (3·y - 1)² = 0

√(3·y - 1)² = √0

∴ 3·y - 1 = 0

3·y = 0 + 1 = 1

y = 1/3

B. By factoring

1. x² + 7·x = 0

By factoring, we have;

x·(x + 7) = 0

(x + 7) = 0/x = 0

x + 7 = 0

x = 0 - 7 = -7

x = -7

3. x² + 5·x - 14 = 0

Noting that 7 × (-2) = -14 and 7 + (-2) = 5, we get;

x² + 5·x - 14 = (x + 7)·(x - 2) = 0

∴ x = -7 or x = 2

2. m² + 8·m = -16

m² + 8·m + 16 = 0

Which gives;

m² + 8·m + 16 = (m + 8) × (m + 2) = 0

m = -8 or m = -2

4. 2·y² + 8·y - 10 = 0

Which gives;

2·(y² + 4·y - 5) = 0

y² + 4·y - 5 = 0/2 = 0

y² + 4·y - 5 = (y + 5) × (y - 1) = 0

y = -5 or y = 1

C. By completing the square

1. x² + 5·x + 6 = 0

x² + 5·x =  -6

Adding (5/2)² to both sides of the equation gives;

x² + 5·x + (5/2)² =  -6 + (5/2)²

Which gives;

(x + 5/2)² =  -6 + (5/2)² = 1/4

x + 5/2 = ±√(-6 + (5/2)²) = ±√(1/4)

x + 5/2 = ±1/2

x = 5/2 - 1/2 or x = 5/2 + 1/2

∴ x = 2 or x = 3

2. x² + 2·x = 8

x² + 2·x + (2/2)² = 8 + (2/2)²

2/2 = 1 and (2/2)² = 1² = 1

∴ x² + 2·x + (2/2)² = 8 + (2/2)² gives;

x² + 2·x + 1 = 8 + 1 = 9

(x + 1)² = 9

x + 1 = ±√9

x = 1 + 9 or x = 1 - 9

x = 10 or x = -8

3. 2·x² + 2·x = 24

2·(x² + x) = 24

x² + x = 24/2 = 12

x² + x = 12

x² + x + (1/2)² = 12 + (1/2)²

(x + 1/2)² = 12 + (1/2)² = 49/4

√(x + 1/2)² = √(49/4) = ±7/2 = ± 3.5

x + 1/2 = ±3.5

x = -1/2 + 3.5 or x = -1/2 - 7/2

x = -0.5 + 3.5 or x = -0.5 - 3.5

x = 3 or x = -4

D. Using the quadratic formula

1. x² + 5·x = 14

Simplifying, gives;

x² + 5·x - 14 = 0

The quadratic formula for the equation, a·x² + b·x + c = 0, is given as follows;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

Comparing with the equation in the question, we get;

[tex]x = \dfrac{-5\pm \sqrt{5^{2}-4\times 1\times(-14)}}{2\times 1} = \dfrac{-5\pm \sqrt{81}}{2} = \dfrac{-5\pm 9}{2} = \dfrac{-5+ 9}{2} \ or \dfrac{-5 - 9}{2}[/tex]

x = 4/2 or x = -14/2

x = 2 or x = -7

2. 2·x² + 8·x - 10 = 0

quest

2. 2·x² + 8·x - 10 = 0

[tex]x = \dfrac{-8\pm \sqrt{8^{2}-4\times 2\times(-10)}}{2\times 2} = \dfrac{-8\pm \sqrt{144}}{4} =\dfrac{-8+ 12}{4} \ or \dfrac{-8 - 12}{4}[/tex]

x = 4/4 or x = -20/4

x = 1 or x = -5

3. 2·x² + 3·x = 27

Rewriting the above equation in the form a·x² + b·x + c = 0, we get;

2·x² + 3·x - 27 = 0

Which gives;

[tex]x = \dfrac{-3\pm \sqrt{3^{2}-4\times 2\times(-27)}}{2\times 2} = \dfrac{-3\pm \sqrt{225}}{4} =\dfrac{-3+ 15}{4} \ or \dfrac{-3 - 15}{4}[/tex]

x = 12/4 = 3 or x = -18/4 = -4.5

x = 3 or x = -4.5.

I think the answer of this question is number b. quadratic

Answer:

AAS

Step-by-step explanation:

Answer:

EZ 3rd one think bout it commmon since

Step-by-step explanation:

a) The different possible samples, assuming 2 ages are randomly selected with replacement, are:

A. (56, 56), (56, 46), (56, 60), (46, 46), (46, 60), (60, 60)

B. (56, 46), (56, 60), (46, 56), (46, 60)

C. (56, 46), (56, 60), (46, 60)

D. (56, 56), (56, 46), (56, 60), (46, 56), (46, 46), (46, 60), (60, 56), (60, 46), (60, 60)

b) To find the range of each sample, we subtract the minimum age from the maximum age. The sampling distribution of the ranges can be summarized in the following table representing the probability distribution:

Sample Range  Probability

2               2/9

10              3/9

14              3/9

c) To compare the population range to the mean of the sample ranges, we need the population range. Since the given information only provides the ages of the government officials when they died, the population range cannot be determined. Therefore, we cannot compare the population range to the mean of the sample ranges.

Note: The actual range of the population would depend on the complete set of ages of government officials, which is not provided in the given information.

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Answer:

Rollerskates: 9 miles/hr

Bike: 17.5 miles/hr

Step-by-step explanation:

How fast→ referring to speed

Speed= distance/ time

Rollerskates:

Distance= ¾ mile

Time= 5 mins

Since the question wants the speed to be in miles per hour, convert the time from minutes to hours.

60 mins= 1 hr

1 min= 1/60 hr

Time= 5/60 hr

Speed

[tex] = \frac{3}{4} \div \frac{5}{60} \\ = \frac{3}{4} \times \frac{60}{5} \\ = 9 \: miles/hr[/tex]

Bike:

Distance= 3.5 miles

Time

= 12 mins

= 12/60 hr

= ⅕ hr

Speed

= distance ÷ time

= 3.5 ÷ ⅕

= 3.5 ×5

= 17.5 miles/hr

Answer:

D the slope of the line is 1/2 and the y intercept is 0 so the answer is y = 1/2x + 0 or just y = 1/2x

We are given a differential equation with an initial value problem. We will be using Euler's method to compute the approximate y-values of the solution at different x-values with the given step size.

Using the given differential equation: y′ =2−3x+2y, we know that y(0) = 3.We need to compute the approximate y-values of the solution at different x-values with the given step size of 0.5. To do that we will be using Euler's method. The Euler's method is as follows:

y1 = y0 + h(y′0)

where,y0 = 3 (initial value of y at x = 0)h = 0.5 (step size)

y′0 = 2−3x0+2y0 (the differential equation at x0 = 0, y0 = 3)

y1 = 3 + 0.5(2 - 3(0) + 2(3))= 6y2 = y1 + h(y′1)

where,y1 = 6 (the value of y at x = 0.5)

y′1 = 2−3x1+2y1 (the differential equation at x1 = 0.5, y1 = 6)

y2 = 6 + 0.5(2 - 3(0.5) + 2(6))= 12y3 = y2 + h(y′2) where,y2 = 12 (the value of y at x = 1)

y′2 = 2−3x2+2y2 (the differential equation at x2 = 1, y2 = 12)

y3 = 12 + 0.5(2 - 3(1) + 2(12))= 22y4 = y3 + h(y′3)

where,y3 = 22 (the value of y at x = 1.5)

y′3 = 2−3x3+2y3 (the differential equation at x3 = 1.5, y3 = 22)

y4 = 22 + 0.5(2 - 3(1.5) + 2(22))= 36

Thus, we used the Euler's method with step size 0.5 to compute the approximate y-values of y1≈y(0.5), y2≈y(1), y3≈y(1.5), and y4 ≈y(2) of the solution of the initial-value problem y′ =2−3x+2y, y(0) = 3.

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Answer:

x = -3

Step-by-step explanation:

3(4x + 8) = - 35+23​

Combine like terms

3(4x + 8) =-12

Divide by 3

3/3(4x + 8) = -12/3

4x+8 = -4

Subtract 8 from each side

4x+8-8 = -4-8

4x = -12

Divide by 4

4x/4 = -12/4

x = -3

Answer:

x= -3

Step-by-step explanation:

first distribute 3 into the parenthesis

than it will result in 12x+24=-35+23. Than add -35+23

Than it will result in 12x+24=-12. Than subtract 24 from each sides.

This will result in 12x=-36. Than divide 12/-36 than you get -3 for x

Answer:

hiiiii

Step-by-step explanation:

Answer:

-.-_-.- rlly dont use this just to find friends

Step-by-step explanation:

Answer:

They can order ≤ $24 in order for the inequality to be correct

The asset's variance is approximately 0.0358, and its standard deviation is approximately 0.1891.

To calculate the variance and standard deviation of the asset's returns, we'll follow the steps mentioned earlier using the given probability distribution:

⇒ Calculate the expected return (μ):

μ = (0.27 * 0.25) + (0.18 * 0.25+) + (0.10 * 0.30) + (0.04 * 0.20+)

  = 0.0675 + 0.045 + 0.03 + 0.008

  = 0.1505

⇒ Calculate the variance (σ^2):

σ^2 = [(0.27 - μ)^2 * 0.25] + [(0.18 - μ)^2 * 0.25+] + [(0.10 - μ)^2 * 0.30] + [(0.04 - μ)^2 * 0.20+]

Substituting the values and simplifying:

σ^2 = [(0.27 - 0.1505)^2 * 0.25] + [(0.18 - 0.1505)^2 * 0.25+] + [(0.10 - 0.1505)^2 * 0.30] + [(0.04 - 0.1505)^2 * 0.20+]

    = [(0.1195)^2 * 0.25] + [(0.0295)^2 * 0.25+] + [(-0.0505)^2 * 0.30] + [(-0.1105)^2 * 0.20+]

    = 0.017972 + 0.00021617 + 0.0030309025 + 0.01459516

    = 0.0358141325

⇒ Calculate the standard deviation (σ):

σ = √(σ^2)

  = √(0.0358141325)

  ≈ 0.1891

Therefore, the asset's variance is approximately 0.0358 and the standard deviation is approximately 0.1891.

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Answer:

b

Step-by-step explanation:

The domain of the graph is the value on the x-axis. Domain = 0≤y≤50,where x≥0

Since we are not given the required graph. I am going to explain in a general way that is applicable to any form of a graph

Domains are input values of a function for which the function exists.

For a graph, they are values of the curve or line function along the x-axis.

Using the attached graph for instance. The domain of the graph is the value on the x-axis. Domain = 0≤y≤50,where x≥0

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Answer: bro u need to give us the answer choices not just the answer

Step-by-step explanation:

Answer:

1. d

2. c

3. b

4. a

Step-by-step explanation:

Answers:

1. d

2. c

3. b

4. a

================================================

Explanation:

For problem 1, subtracting a negative is the same as adding a positive. The two negatives cancel out

In problem 2, we can add a negative to mean we're subtracting. One way to think of it is like adding on debt to your bank balance.

Problem 3 is similar to problem 2. The first term -17 isn't changed.

Problem 4 is similar to problem 1. The only difference is that the 17 is negative this time around.