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4 years ago

Simplify (x^8/64)^1/2 The answer is x^4/8 but can you please show me how to get the answer.

Mathematics

1 answer:

navik [9.2K]4 years ago

3 0

Answer:

Step-by-step explanation:

Whenever you have exponents raised to another exponent, you multiply the exponents!

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There are 40 people at Drake's sweet sixteen party. Drake's only rule is that everyone in the party must meet and shake each oth

nikdorinn [45]

1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.

2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).

3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.

7 0

3 years ago

Read 2 more answers

he XO Group Inc. conducted a survey of brides and grooms married in the United States and found that the average cost of a weddi

ahrayia [7]

Answer:

A. P(X<20,000) = 0.0392

B. P(20,000 < x < 30,000) = 0.488

C. Amount = $39,070

Step-by-step explanation:

From XO group website

Cost of a wedding = $29,858

Mean, μ = $29,858

Standard Deviation, σ =$5,600

a. Calculating the probability that a wedding costs less than $20,000

P(X<20,000)?

First, the z value needs to be calculated.

z = (x - μ)/σ

x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

So, P(X<20,000) = P(Z<-1.76)

From the z table,

P(Z<-1.76) = 0.0392

P(X<20,000) = 0.0392

b. Calculating the probability that a wedding costs between $20,000 and $30,000

P(20,000 < x < 30,000)

First, the z value needs to be calculated.

z = (x - μ)/σ

When x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

When x = 30,000

z = (30,000 - 29,858)/5600

z = 0.02

P(20,000 < x < 30,000) = P(-1.76 < z <0.02) --- using the z table

P(-1.76 < z <0.02) = 0.508 - 0.0392

P(-1.76 < z <0.02) = 0.4688

P(20,000 < x < 30,000) = 0.488

c. Using the following formula, we'll get the amount it'll a wedding to be among the 5% most expensive

z = (x - μ)/σ where x = amount

Make x the subject of formula

x = σz + μ

Fist we need to get the z value of 5%

z0.05 = 1.645

x = σz + μ becomes

x = 5600 * 1.645 + 29,858

x = $39,070

Amount = $39,070

5 0

3 years ago

PLEASE HELP URGENT THANK YOU

Fynjy0 [20]

So far the only true statement I see is that function f is increasing whilst function g is decreasing.

I cannot say yes to the first one as there is a lack of x-intercepts.

Past the interval of 0,2, there are no changes in the line of function g as it remains the same despite the increase in y. Function f on the other hand has a rate of change.

The y-intercepts are the same (positive 2) so the third statement is out.

8 0

3 years ago

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the fir

iris [78.8K]

Answer:

{h| 0 ≤ h ≤ 60}

Step-by-step explanation:

Next time, please separate the possible answer choices with commas or semi-colons, or put them on separate lines.

The second set says it all: {h| 0 ≤ h ≤ 60}. This guy cannot work more than 60 hours per week, and h cannot be negative.

9 0

3 years ago

Read 2 more answers

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

creativ13 [48]

Answer:

The answer is " $\bold{-\frac{1}{2}}$ "

Step-by-step explanation:

Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:

$\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}$

The chances of losing a dollar add up to that amount, so 5/6.

Price predicted = $\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)$

$=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\$

The final answer is " $-\frac{1}{2}$ "

6 0

3 years ago