Let A be 3×2, and B be 2×3 non-zero matrix such that AB=0. Then
A is not left invertible

This means that the probability that a randomly selected woman from STEM majors at the university does not meet the age requirement for the internships is approximately 0.0228 or 2.28%.

Without any specific information about the age requirement for the internships or the age distribution of the women in STEM majors at the university, it is impossible to calculate a precise probability.

However, assuming that the age requirement is above the average age of women in STEM majors at the university, we can make a rough estimate.

Let's say that the average age of women in STEM majors at the university is 21 years old, and the age requirement for the internships is 25 years old.

Then, the probability that a randomly selected woman from the STEM majors does not meet the age requirement is the probability that her age is less than 25.

Assuming that the age of women in STEM majors follows a normal distribution with a mean of 21 years old and a standard deviation of 2 years (just for illustration purposes), we can use a standard normal distribution table or a calculator to find the probability that a randomly selected woman's age is less than 25.

Using a standard normal distribution table, we find that the probability of z-score less than (25-21)/2 = 2 is about 0.9772.

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Answer

Hope it helps

Answer:

4.25%

Step-by-step explanation:

Commision =  441.30 - 375 = 66.30

Commision is based on  = 6560-5000 = 1560

Rate of Commision = (in decimal) 66.30/1560 = 0.0425  

Rate of Commision = 0.0425  * 100 =   4.25 %

Answer:

1) The vertex form of the function reveals the highest point:

h(t)=-2(t-1)^2+32

2) At its highest point, the squirrel was 32 meters above the ground.

Explanation:

took the dumb quiz

The vertex format of the given equation so that the answer appears as a number in the equation is \(h(t) = -2(t-1)^2+32\) and at its highest point, the squirrel is 32 meters above the ground.

Given :

1) Write the given equation in vertex formate so that the answer appears as a number in the equation.

\(h(t) = -2t^2+4t+30\\h(t) = -2(t^2-2t-15)\\h(t) = -2(t-1)^2+32\)

2) From the above equation it can be concluded that at its highest point, the squirrel is 32 meters above the ground.

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The solution to the quadratic equation 6x² + 6 = 12x is x = 1

The quadratic equation is given as:

6x² + 6 = 12x

Equate the equation to 0

6x²  - 12x + 6 = 0

Expand the equation

6x²  - 6x - 6x + 6 = 0

Factorize the expression

6x(x  - 1) - 6(x - 1) = 0

Factor out x - 1

(6x - 6)(x  - 1) = 0

Split

6x - 6 = 0 or x - 1 = 0

Solve for x in both instance

x = 1 or x = 1

Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1

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Answer

Slope of the line is 2/3

Step-by-step explanation:

Given the slope-intercept equation

2x - 3y = 5

The standard form of the slope-intercept equation is

y = mx + b

where m = slope of the line

b = intercept of the y-axis

Rearrange the above equation

2x - 3y = 5

-3y = 5 - 2x

-3y = -2x + 5

Divide through by -3

-3y/-3 =-2x/-3 + (5/-3)

y = 2x/3 - 5/3

Hence, the slope of the line is 2/3

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

Explanation:

Add up the four numbers given: 4+8+4+10 = 26 items total

Kick out the 4 black shirts since they are neither blue, nor are they pants.

So we have 26-4 = 22 items that are blue or a pair of pants (or both).

Divide that over the total (26) to get the probability we're after:

22/26 = (11*2)/(13*2) = 11/13

Side note: 11/13 = 0.8462 = 84.62% approximately

the constant term is the one that is multiplied by a variable or letter, so in this case the constant term is 0.25

Answer:

50:100:150

Step-by-step explanation:

300 / 1+2+3

300/6 = 50

50:50x2:50x3

50:100:150

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

52.11

Step-by-step explanation:

I just know

Answer:

Parallelogram, Rectangle, Square, Rhombus, Trapezoid. ... ANSWER Trapezoid: there is one pair of parallel sides

Step-by-step explanation:

there is one pair of parallel sides

An industry whose average annual rate of change is projected to decrease the most in the 2006-2016 period is: B. Educational services.

An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a period of time.

Mathematically, the average rate of change between two (2) points can be calculated by using this expression;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Next, you should read the points on the x-axis and y-axis of your missing graph and then substitute them into formula for calculating the average rate of change.

After evaluating the equation for each period, you should get a numerical value for the average rate of change with the lowest value in comparison with the other period, which is Educational services.

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Complete Question:

Based on the above chart, which industry's average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006?

A. Utilities

B. Educational services

C. Federal government

D. State and local government

Answer:

200 bucks

Step-by-step explanation:

20/2=10 per hour

10x20=200

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

Answer:

The length of rectangle A is 12 in

36 / 3 = 12

Hope this helps.

Answer:

36 itdb36 i think ye sit is

Step-by-step explanation:

The sequence of events when a NullPointerException is thrown in m3() is as follows:

1. The main() method is called and begins execution.
2. The m1() method is called from main().
3. The m2() method is called from m1().
4. The m3() method is called from m2().
5. A NullPointerException is thrown in m3().
6. The exception is caught in the catch block of m2().
7. The catch block in m2() executes and prints the exception message.
8. The m2() method finishes execution and returns to m1().
9. The m1() method finishes execution and returns to main().
10. The main() method finishes execution and the program terminates.

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Answer:

given: FE/DE = GE/CE

proven: DEC ~ FEG

Statement:                                                    Reason:            

m<DEC=m<FEG                                            vertical angles theorem

FE/DE=GE/CE               corresponding sides in similar triangle are proportional

DEC~FEG                                                       SAS criterion of similarity

Step-by-step explanation:

Answer:

44/60

Step-by-step explanation:

times the top by the bottom.

Answer:

equal parts of this story is the order I am the first thing to say about this

Answer:

3s + 9

Step-by-step explanation:

3 * (S+3) = 3 S + 9

The quadratic form is y = x² + 18 + 24

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

The given expression,

y = (x + 4)² + 8

y = x² + 16 + 8x + 8

y = x² + 8x + 24

Hence, the quadratic form is y = x² + 18 + 24

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Answer:

Y=-3x+0 or Y=-3x

Step-by-step explanation:

Y=mx+b

m=slope

b=y-intercept (where the line crosses the y axis)

The line crosses the Y axis at (0,0), so:

Y=mx+0 or

Y=mx

Slope:

Rise/run= Change in y/Change is x= 9/-3=-3

So:

Y=-3x+0 or

Y=-3x

Answer: 3x + y = 0

Step-by-step explanation: Remember that slope is represented by

rise over run from one point to the next on our graph.

To get from the point (0, 0) to (3, -9), we go down -9 units

so our rise is -9 and we run 3 units so our run is 3.

Our slope therefore or m = -9/3 or -3.

Our y-intercept is represented by the point where this line

crosses the y-axis which in this case is up 0 units.

So our y-intercept or b = 0.

Since we have the slope and y-intercept of our line,

we can now write its equation in y = mx + b form.

Since m = -3 and b = 0, that gives us y =-3x + 0.

Now we convert this equation to standard form.

Just add 3x to both sides to get 3x + y = 0.

So the equation of this lie is 3x + y = 0.

Answer:

Step-by-step explanation:

5x(1)=5x

Answer:

The answer is A

Step-by-step explanation:

The multiplicative identity property is applied to numbers in the operation of multiplication. The property states that when a number is multiplied by the number 1 (one), the product will be the number itself. This property is applied when numbers are multiplied by 1. Here, 1 is known as the multiplicative identity element because when we multiply any number with 1, the obtained result will be the same number. This property can be applied to real numbers, complex numbers, integers, rational numbers, and so on. The multiplicative identity property is expressed as: a × 1 = a, where 'a' is any real number.

Example:

44 × 1 = 44, where 44 is the number on which we applied the multiplicative identity.

Note: The multiplicative identity is not applied when any number is multiplied by -1 because the result will not be the same number.

For example, 23 × -1 = -23

Answer:

81

Step-by-step explanation:

Therefore, the ratio of girls to boys in the auditorium is 8:11.

The ratio of girls to boys in the auditorium can be calculated by dividing the number of girls by the number of boys. In this case, there are 16 girls and 22 boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 16 / 22

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.

Ratio of girls to boys = 8 / 11

This means that for every 8 girls, there are 11 boys in the auditorium

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Answer:

\(x=-2\)

Step-by-step explanation:

\(x-x(3x-5)=x-2(x^2+x)-x^2-14\)

\(x-3x^2+5x=x-2x^2-2x-x^2-14\)

\(-x\)                 \(-x\)  

\(-3x^2+5x=-2x^2-2x-x^2-14\)

\(-3x^2+5x=-3x^2-2x-14\)

\(+3x^2\)             \(+3x^2\)

\(5x=-2x-14\)

\(+2x\)   \(+2x\)

\(7x=-14\)

\(\frac{7x}{7} =\frac{14}{7}\)

\(x=-2\)

Hope this helps!

Answer:

D

Step-by-step explanation:

Note that I will be using a, b, and y instead of their Greek counterparts.

First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get

sin(b+y) = sin(b)cos(y) + cos(b)sin(y)

sin(b-y) = sin(b)cos(y) - cos(b)sin(y)

sin(a+y) = sin(a)cos(y) + cos(a)sin(y)

sin(a-y) = sin(a)cos(y) - cos(a)sin(y)

Plugging these into our equation, we get

(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))

/

(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))

=

2cos(b)sin(y) / 2cos(a)sin(y)

= cos(b)sin(y)/cos(a)sin(y)

= cos(b)/cos(a)

Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get

cos(b) / cos(π-b)

After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get

cos(π-b) = cos(π)cos(b) - sin(π)sin(b)

= -cos(b) + 0

= -cos(b)

Plugging that back into our equation, we get

cos(b) / -cos(b) = -1

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.