According to a survey, 57% of all workers read e-mail while they are in a meeting. Suppose that 19% of those who read e-mail while they are in a meeting write down important notes. Assuming that these figures are true for all workers, if a worker is randomly selected, what is the probability the worker reads e-mail while in meeting and writes important notes

Answer:

[tex]Union = 15[/tex]

Step-by-step explanation:

Given

[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

[tex]Union = 15[/tex]

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

[tex]Intersection = 5[/tex]

Answer:

the answer would be b I'm pretty sure

Answer:

C

Step-by-step explanation:  

 pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.

Answer:c i just took the test

Step-by-step explanation:

[tex]3 {x}^{2} + 11x - 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

B

Step-by-step explanation:

Answer:

The shorter leg is five feet, the longer leg is 12 feet, and the hypotenuse is 13 feet.

Step-by-step explanation:

Let the shorter leg be x.

Since the longer leg is seven feet longer than the shorter leg, the length of the longer leg can be modeled by (x + 7).

Since the triangle is a right triangle, we can use the Pythagorean Theorem, given by:

[tex]a^2+b^2=c^2[/tex]

Where a and b are the side lengths and c is the hypotenuse.

The hypotenuse is 13 and the legs are x and (x + 7). Substitute:

[tex](x)^2+(x+7)^2=(13)^2[/tex]

Square:

[tex]x^2+x^2+14x+49=169[/tex]

Simplify:

[tex]2x^2+14x-120=0[/tex]

We can divide both sides by two:

[tex]x^2+7x-60=0[/tex]

Factor:

[tex](x-5)(x+12)=0[/tex]

Zero Product Property:

[tex]x-5=0\text{ or }x+12=0[/tex]

Solve for each case:

[tex]x=5\text{ or } x=-12[/tex]

Since lengths cannot be negative, we can ignore the negative answer. So, our only solution is:

[tex]x=5[/tex]

The shorter leg is five feet, the longer leg will be (5 + 7) or 12 feet. And the hypotenuse is 13 feet as given.

Answer:

[tex]2x^2y^3[/tex]

Step-by-step explanation:

The given expression is :

[tex]2x^2y^3+4x^2y^5[/tex]

We need to find the greatest common  factor of the expression.

The first term is [tex]2x^2y^3[/tex]

The other term is [tex]4x^2y^5[/tex]

[tex]2x^2y^3[/tex] is common in both terms. So,

[tex]2x^2y^3(1+2y^2)[/tex]

Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].

Option C.88ft².

Answer:

Solution given:

side 1=19ft

side 2=25ft

height=4ft

now

area =½height (side 1+side 2)

=½*4*(19+25)=88ft²

Answer:

The area of trapezoid is 88 ft ² .

Step-by-step explanation:

The, area of trapezoid is given by

= 1 / 2 ( Base ¹ + Base ² ) × Height

Where,

Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.

1 / 2 ( Base ¹ + Base ² ) × Height

Where, given that

Substitute the values

Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft

add the both parallel sides of trapezoid

Area = 1 / 2 × 44 ft × 4 ft

multiply the values , we get

Area = 176 ft ²/ 2

Divide and we get

Area of trapezoid = 88 ft ²

Therefore, the area of trapezoid is 88 ft ².

Answer:

B

Step-by-step explanation:

Given the data:

Class A 55 72 75 89 95

Class B 55 70 75 94 100

CLASS A :

Minimum - 55

Lower quartile - 72

Median - 75

Upper quartile - 89

Maximum - 95

CLASS B :

Minimum - 55

Lower quartile - 70

Median - 75

Upper quartile - 94

Maximum - 100

Evaluating the statements given :

The median score of Class A is greater than the median score of Class B.

Median A = 75 ; Median B = 75 (median are equal), hence, A is not true

The lower quartile of Class A is greater than the lower quartile of Class B.

Lower quartile A = 72 ; Lower quartile B = 70 (A is greater than B) , hence, B is true

The upper quartile of Class A is greater than the upper quartile of Class B.

Upper quartile A = 89 ; Upper quartile B = 94 (A is less than B) , hence, statement is not true

The maximum score of Class A is greater than the maximum score of Class B.

Maximum A = 94 ; maximum B = 100 ; A < B ; Hence, statement is not true

Answer:

(14-9i)+(2+3i) = 16-6i

Step-by-step explanation:

We need to find the equivalent of (14-9i)+(2+3i).

We need to add the two expressions.

(14-9i)+(2+3i) = 14+2 -9i+3i

= 16-6i

Here, the real part is 16

The imaginary part is -6

Hence, the required answer is equal to 16-6i.

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm

Answer:

(0, 19)

Step-by-step explanation:

In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.

You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

The y-intercept is (0, 19).

The y-intercept is the point where the graph intersects the y-axis.

Given is an equation of a line, y = 10x/3+19

To solve for the y-intercept,

Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

For more references on y-intercept, click;

https://brainly.com/question/14180189

#SPJ2

Answer:

730

Step-by-step explanation:

separate each rectangle

use the formula to calculate the area of each rectangle.

1st rectangle

area = length ×breadth

length =5, breadth =8+25+8=41

A1=5×41=205

2nd rectangle

A2=8×25=200

....

A3=5×25=125

A4=8×25=200

Add all As and you have your ans 730

Answer:

0.3

Step-by-step explanation:

Answer:

A. an = 1(4)^n-1

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:

[tex]a_n = a_1(q)^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

We are given the following sequence:

[tex]a_1 = 1[/tex]

[tex]a_n = 4a_{n-1}[/tex]

So

[tex]a_2 = 4a_1 = 4[/tex]

[tex]a_3 = 4a_2 = 16[/tex]

[tex]a_4 = 4a_3 = 64[/tex]

That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].

The first term is already given, [tex]a_1 = 1[/tex]. So

[tex]a_n = a_1(q)^{n-1}[/tex]

[tex]a_n = 1(4)^{n-1}[/tex]

And thus, the correct answer is given by option A.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

In order to evaluate f(g(-1)), you first need to find g(-1).

The graph of g(x) crosses the line x = -1 at y = 1, so g(-1) = 1.

The second step is evaluating f(1). The graph of f(x) crosses the line x=1 at y=4, so f(1) = 4.

  f(g(-1)) = f(1) = 4

Answer: B

Step-by-step explanation: Look at where the lines intersect

Answer:

area of polygon : 120in²

Answer:

4

Step-by-step explanation:

these are two similar triangles, so to solve for x, we create two similar ratios!

x/2 = 7/3.5

cross multiply.

14=3.5x

divide 14 by 3.5

x=4

Answer:

x = 6, y = -8

Step-by-step explanation:

First we take the equations side by side and put them like this:

 6x + 2y = 16

+ 2x - 2y = 32

8x = 48

Then solve for x.

x = 6

Then insert x back into either equation

2(5) - 2y = 32

10 - 2y = 32

solve for y,

y = -10

Answer:

Step-by-step explanation:

3x^2 -2x -5=0

3x^2 -(5-3)x -5=0

3x^2 -5x +3x -5=0

x(3x -5)+1(3x -5)=0

(x+1)(3x-5)=0

either (x+1)=0           OR, (3x-5)=0

x+1=0

x=0-1

x=-1

3x-5=0

3x=0+5

x=5/3

x=-1, 5/3

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

Answer:

3/2

Step-by-step explanation:

Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3

Slope 2 perpendicular to Slope 1 :

-1 ÷ -⅔ = 3/2

Answer:

22.3 minutes

Step-by-step explanation:

The computation of the travel time is as follows:

Given that

[tex]\mu[/tex] = 17

And, the standard deviation is 4.5

P(X≤C) = 0.88

P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤  (C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 0.88

(C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 1.175

c = [tex]\mu[/tex] +  1.175 × [tex]\sigma[/tex]

= 17 + 1.175 × 4.5

= 22.3 minutes

Hence, the travel time is 22.3 minutes

Answer:

I think the answer is 1,032 pounds

Step-by-step explanation:

You would have to multiply the dimensions of the table first:

8*3*1=24.

Then you would multiply that by 43.

24*43=1,032.

I THINK this is the answer.