1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dovator [93]
2 years ago
10

Without using (10), show directly that (10.6^-1)^8=17.6^-8

Mathematics
1 answer:
blagie [28]2 years ago
3 0
We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible. 

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm. 

We can apply this rule here:

17.6^-1 ^ 8

-1 * 8 = -8

then, retain the base and replace the exponent with the product nm:

17.6 ^-8. This proves that the left term is equal to the right term. <span />
You might be interested in
Lcm of 2/5 and 5/18?
SSSSS [86.1K]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency
choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when n = 29, p = 0.78. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

P = (0.78)^{7}*0.22 = 0.0386

3.86% probability that the first woman is reached on the 8th call

4 0
3 years ago
kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the near
Mila [183]

Answer: 90%

Step-by-step explanation:

54/60=0.9 0.9*100= 90

6 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1
777dan777 [17]
Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6
7 0
2 years ago
Help....................
Romashka-Z-Leto [24]

Answer:

The interquartile range is <em>50.</em>

Step-by-step explanation:

To find our answer we have to first <em>quartile 1</em> and <em>quartile 3</em> are equal too. When we look at the plot <em>quartile 1  </em>is equal to <em>20,</em> <em>quartile 3 </em>is equal to <em>70</em> because it is in between <em>60</em> and <em>80</em>.  Now to find the interquartile range we will <em>subtract 70</em> from <em>20</em> and we get <em>50</em>.  Therefore, <u><em>50</em></u><em> is our answer.</em>

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the meaning of point (7.5, 12)?
    14·1 answer
  • Can somebody please help me
    14·1 answer
  • How do you solve this?
    12·1 answer
  • 9. Determine whether the statement is always, sometimes, or never true. Two lines with positive slopes are parallel A) Always B)
    11·2 answers
  • Solve for x.<br> 16x – 3(4x + 5) = 2x + 9
    6·2 answers
  • The area of an 20-cm-wide rectangle is 460 cm². What is its length?<br> The length is cm.
    9·1 answer
  • Water Tank A is being filled according to the formula, 3y=750x+300.
    12·1 answer
  • Write the equation of the line in slope intercept form given:<br> m = -6, b = 0
    8·1 answer
  • What is the surface area of this figure?
    13·1 answer
  • One angle of a triangle measures 10 degrees more than the second. The measure of the third angle is twice the sum of the measure
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!