When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 39 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest tenth?​

Answer:

  45

Step-by-step explanation:

You want to know the number of line segments that can be drawn between pairs of points in a group of 10 distinct points.

From the first point, 9 segments can be drawn.

From the second point 8 more segments can be drawn. (The segment to the first point has already been counted.)

From the third point, 7 more segments can be drawn. The total number of segments will be the sum of integers from 1 through 9:

  9(10)/2 = 45

45 line segments can be drawn.

__

Additional comment

This is identical to the "handshake" problem: the number of handshakes in a group of 10 people if each shakes hands with all the others.

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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The scale factor of AABC dilation of ADEF with center (0, 0) is 3.

Scale factor is a numerical value used to indicate the proportional change in the size of an object or image. It is often expressed as a fraction or ratio, for example 1:2, where the first number (1) represents the original size, and the second number (2) represents the new size. This is also referred to as a "scaling factor," since it indicates how much larger or smaller the new size is compared to the original size. Scale factors can be used to resize objects in different directions, such as width, height, and depth.

This means that each point of ADEF was scaled up by a factor of 3. This means that the length and width of ADEF were multiplied by 3 to make the new figure AABC. For example, if the length of ADEF was 6, then the length of AABC would be 18. Similarly, if the width of ADEF was 9, then the width of AABC would be 27.

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An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 62. As a result, the median and the mean would be smaller. The mode would not be affected by the outlier.

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Answer:

there is no additional information shown

Answer: B. both can be arranged in some order

Step-by-step explanation:

At the ordinal level of measurement, data can be ordered in some format however it is not possible to know how much the data vary from each other. For instance: Very Bad, Bad, Good, Very Good. Data can be ordered under this but we won't know just how much of a difference exists.

Interval data can also be ordered and this time we can tell how the data varies from one another for instance by 1 or 2. The only problem here however, is that interval data does not end with zero.

The sides for both triangles are always proportional by a factor of 2, this means that by the postulate AAA we can determine tha they're similar. The correct answer is the second option.

We have a kyte and we have to find the measures of x and y.

As the line KM is the axis of symmetry, the angle TJM is congruent with the angle TLM, that has the measure y.

So y is also the measure of angle TJM, that has a measure of 52 degrees,

Then y = 52 degrees.

To find x, we use the fact that the sum of the angles of a triangle is equal to 180 degrees. The angle at vertex L is y and the angle at vertex T is a right angle (90 degrees).

Then, for triangle TLM, we have:

Answer:

x = 38 degrees.

y = 52 degrees.

Answer:

Step-by-step explanation:

Given function:

Find the value of P(x) at x = 150:

Answer: imaginary axis

Step-by-step explanation:

Answer:

-123-b

Step-by-step explanation:

-116-4-(b+3)

-123-b

Answer: 4x + 100

Step-by-step explanation:

The company charges $4 per foot plus an installation charge of $100.

There is therefore both a fixed element and a variable element.

The fixed element is the $100 installation charge

The variable element is 4 * the number of square feet of carpet which is x: 4 * x

Formula puts them together to give:

= Variable cost + Fixed cost

= 4 * x + 100

= 4x + 100

A box contains five cards lettered A,A,B,C,D. If one card is selected at random from the box and NOT replaced, what is the probability that Jill will draw an A and then a C?​

step 1

Find the probability that Jill draw an A

P=2/5

step 2

Find the probability that jill draw a C

P=1/4

therefore

the probability that Jill will draw an A and then a C is

P=(2/5)(1/4)

P=2/20

After considering the given options we conclude that the evaluated best rated channel is Tel EVision, which is Option B under the condition that Tamela compared the rates of three cable companies.

The cable company that has the best rate per channel is evaluated by applying the principle of division
The rate per channel is found out by using  the proportions in the context of this problem, dividing the total price by the measure of channels.
Hence the rates for each company are given as by:
Then TV Watchers: 30.8/70 = $0.44 per channel.
Tel-EVision: 46.4/145-$0.32
Channels Galore: 40.8/120 = $0.34

Hence, the best rate is the lower rate, which is the causing factor for the answer given at the beginning of the problem.
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Answer:

C. 8, H. 6x^2+43x+55

Step-by-step explanation:

You're looking for a value that will make x-2=6, since you add exponents. So W^8/W^-2 is equal to 1/W^6. Since 8-2=6.

A= length * width

(2x+11)(3x+5), foil it out by taking 2x(3x+5), then 11(3x+5).

6x^2+10x+33x+55, combine like terms

6x^2+43x+55

Answer:

26. H: \(6x^2+43x+55\)

Step-by-step explanation:

\(( 2x + 11 ) ( 3x + 5 )\)

\(6x^2+43x+55\)

If the decision variables for a problem have to be integers, rounding the linear programming optimal solution for that problem will always result in a feasible solution.

However, this solution may not always be optimal. It may result in either a feasible or infeasible solution depending on the problem constraints.

Rounding may also result in an optimal solution if the optimal solution happens to already have integer values for the decision variables. Therefore, rounding may result in a feasible and optimal solution or just a feasible solution but not necessarily always optimal.

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A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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The average period of the trials that were conducted with an amplitude of 10 degrees is 1.694 seconds.

What is amplitude ?

In mathematics, amplitude refers to the maximum displacement or distance from the equilibrium position of a periodic function, such as a sine or cosine wave. In other words, if a periodic function oscillates back and forth between two extreme values, the amplitude is the maximum distance from the average value or midpoint of the oscillation to one of the extreme values.

To calculate the average period of the trials that were conducted with an amplitude of 10 degrees, we simply add up all the periods and divide by the total number of trials.

10 degrees: 1.66 s, 1.700 s, 1.71 s, 1.68 s, 1.72 s

Average period = (1.66 + 1.700 + 1.71 + 1.68 + 1.72) / 5 = 1.694 seconds

Therefore, the average period of the trials that were conducted with an amplitude of 10 degrees is 1.694 seconds.

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Answer:

Step-by-step explanation:

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.

Answer:She incorrectly factored out the value of a.

Step-by-step explanation:

In solving a quadratic equation by completing the square method, the value a is not factored out. Rather, the steps involved are:

Divide through all the terms by a

Move the term c/a to the right had side

Complete the square on both sides using the value of b/2

Obtain the values of x

Answer: B. She subtracted the wrong value to maintain balance after completing the square.

The slope of the curve at point P is -x₀^(-2), and the equation of the tangent line at point P is y - y₁ = -x₀^(-2)(x - x₁).

To find the slope of the curve and the equation of the tangent line at a given point P on the curve y = 1/x, we can use the concept of derivative. The derivative of the function represents the slope of the curve at any point. By evaluating the derivative at point P, we can determine the slope. With the slope in hand, we can then use the point-slope form of a line to write the equation of the tangent line at point P.

The function y = 1/x can be written as f(x) = x^(-1). To find the slope at a given point P, we differentiate the function with respect to x using the power rule for differentiation. The derivative of f(x) = x^(-1) is f'(x) = -x^(-2).

At point P, we substitute the x-coordinate of P into f'(x) to find the slope. Let's say the x-coordinate of point P is x₀. Thus, the slope of the curve at point P is f'(x₀) = -x₀^(-2).

To find the equation of the tangent line at point P, we use the point-slope form of a line: y - y₁ = m(x - x₁), where (x₁, y₁) is the coordinates of point P and m is the slope. Substituting the values, the equation of the tangent line is y - y₁ = -x₀^(-2)(x - x₁).

In summary, the slope of the curve at point P is -x₀^(-2), and the equation of the tangent line at point P is y - y₁ = -x₀^(-2)(x - x₁).

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Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

x = 5    y = -13

Step-by-step explanation:

5(5) - 3 = 22 and 5 - (-13) = 18

The value of x and y is △ABC ≅ △DEF are 5 and -13 respectively

Since △ABC is congruent to △DEF. hence all the sides of △ABC will be equal to △DEF.

Given the sides of △ABC to be 18, 25, and 5x − 3.

Sides of △DEF to be 25, 22, and 5 − y

This shows that the third side of triangle △ABC is 22, hence

5x - 3 = 22

5x = 22 + 3

5x = 25

x = 5

Similarly, the thirs side of △DEF will be 18, hence;

5 - y = 18

y = 5 - 18

y = -13

Hence the value of x and y is △ABC ≅ △DEF are 5 and -13 respectively

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Answer:

311.41m3

Step-by-step explanation:

A=2πrh+2πr2

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

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In this experimental design, the y variable is the testosterone levels.

A variable is defined as any symbol or letter that is used to express an unknown quantity. There are two types of variables: the dependent variable (y variable) and the independent variable ( x variable).

An independent variable (x variable) is the variable which causes the change in another variable.

A dependent variable (y variable) is the result or effect of that change in the dependent variable.

If we are interested in what happens to testosterone levels as the men age in adult men ages 18 years and older, then the x variable is the age and the y variable is the testosterone levels.

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To begin with, we can simplify y using the Pythagorean identity:

y = 2 cos²(x) + 3 sin²(x) + 5

y = 2 (cos²(x) + sin²(x)) + sin²(x) + 5

y = 2 + sin²(x) + 5

y = sin²(x) + 7

Next, we can further rewrite this using the half angle identity for sine:

y = (1 - cos(2x))/2 + 7

y = 15/2 - 1/2 cos(2x)

Now, since cos(x) is bounded between -1 and 1, we have

max(y) = 15/2 - 1/2×(-1) = 15/2 + 1/2 = 8

and

min(y) = 15/2 - 1/2×1 = 15/2 - 1/2 = 7

Then the sum of the maximum and minimum is 8 + 7 = 15.

Answer:

yes

Step-by-step explanation:

10:20=

5 times 2= 10

5 times 4= 20

2:4=

1 times 2=2

2 times 2= 4

1:2

yes the ratio 1:2 and 10:20 are equivalent

Answer:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)

Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

Factorize the numerator in the above expression

[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)

Factor out x^2 + 5x + 8

[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

Split the fractions

(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

Divide the common factors

(x^2 + 5x + 8) + 23/(x - 2) hope this help btw your welcome

Answer:

The answer is really option A. x^2 - x +2-5/x-1

Step-by-step explanation:

I just took the test and got it right :)

Answer:

oi

Step-by-step explanation:

Answer:

11 feet maybe

Step-by-step explanation: