Simplify the following expression.<br> 11 to the 6th power<br> 114 to the 4th power

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of x sat

LekaFEV [45]

Answer:

0.75

Step-by-step explanation:

plato

6 0

3 years ago

A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting

Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees} = \frac{6}{15}$

b.) The probability that a secretary wins a ticket on second draw. It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant wins on first draw)

= $\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}$

= $\frac{\frac{5}{15} \times \frac{6}{14}}{\frac{5}{15} } = \frac{6}{14}$ .

The probability that a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw = $\frac{6}{15}$ is not true.

The probability that a secretary wins on the second draw = $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secretaries \hspace{0.1cm} remaining } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} remaining} = \frac{6 - 1}{15 - 1} = \frac{5}{14}$

c.) The probability that a consultant wins on the first draw =

$\frac{number \hspace{0.1cm} of \hspace{0.1cm} consultants \hspace{0.1cm} } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} } = \frac{5 }{15} = \frac{1}{3}$

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= $\frac{6}{15} \times \frac{5}{14} = \frac{1}{7}$

Therefore the only statement that is not true is b.)

5 0

3 years ago

Help help math math math math math

chubhunter [2.5K]

<h3>Answer: y - 4 = -2(x - 5)</h3>

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

Explanation:

Point slope form is

y - y1 = m(x - x1)

where m is the slope and (x1,y1) is the point the line goes through.

Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.

-2 will go in the second box that's just to the left of the parenthesis.

The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.

We go from this

y - y1 = m(x - x1)

to this

y - 4 = -2(x - 5)

5 0

2 years ago

I have a thanksgiving packet. I’m stuck on these last two pages. Can anyone help me on the question. Thanks.

vovikov84 [41]

I think the Honda and Dodge have the same ratio. If you do the math, the ratio will come out to (12,1) or 12 for both types of cars.

6 0

3 years ago

The sum of two numbers is 60 and the difference is 2 what are the numbers.

oksian1 [2.3K]

Let the two numbers be x and y
Then
x + y = 60
And
x - y = 2
x = y + 2
Putting the value of x in the first equation we get
x + y = 60
y + 2 + y= 60
2y + 2 = 60
2y = 60 - 2
2y = 58
y = 58/2
y = 29
Now putting the value of y in the first equation we get
x + y = 60
x + 29 = 60
x = 60 - 29
x = 31
So the value of the two numbers comes out to be 31 and 29. I hope the procedure is clear enough for you to understand.

7 0

3 years ago

Read 2 more answers

Simplify the following expression. 11 to the 6th power 114 to the 4th power