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Aleks [24]
3 years ago
10

Expand the number 1120 into its corresponding exponential form. 25 · 5 · 7 52 · 8 22 · 53 · 7 2 · 5 · 7

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

(A) 2^{5} * 5 * 7

Step-by-step explanation:

Your question formatting made it very complicated to understand the possible answers.  Please use some notation or the equation editor next time.

So, the exponential form a way to write a number using multiplications and powers.

Let's examine the various options (if I read them correctly)

(A) 2^{5} * 5 * 7 - YES!

2^{5} is 32, so 32 * 5 * 7 = 160 * 7 = 1120

(B) 5² · 8  - NO

= 25 * 8 = 200

(C) 2² * 5³ * 7 - NO

= 4 * 125 * 7 =500 * 7 = 3500

(D) 2 · 5 · 7 - NO

= 10 * 7 = 70

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A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that sh
marissa [1.9K]

Answer:

P (She selects the route of four specific capitals) = \frac{1}{2686320}=(3.7226)10^{-7}

D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Step-by-step explanation:

Let's start assuming that each route is equally likely to be chosen.

Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :

P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states

The favourable cases in which the route of four specific capitals is selected is equal to 1 .

For the denominator we need the permutation number of 4 in 42.

The permutation number is defined as :

nPr=\frac{n!}{(n-r)!}

42P4=\frac{42!}{(42-4)!}=\frac{42!}{38!}=2686320

The probability of event A is : \frac{1}{2686320}=(3.7226)10^{-7}

Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.

7 0
3 years ago
In the fifth grade there are 4/5 as many students who do not have glasses as those who do wear glasses if there are 60 students
Allushta [10]

Answer:

300 students

Step-by-step explanation:

Since 4/5 of students do not wear glasses, 1/5 of students do.  

There are 60 students who wear glasses, so let 'x' represent the number of students who wear glasses

(1/5)x = 60     is our equation.  "One-fifth of the number of students who wear glasses is 60"

Now solve for x

(1/5)x = 60

    x = 300    (multiply both sides by 5 to get rid of the fraction)

8 0
3 years ago
Jade’s weekly paycheck is $306.25. She makes $8.75 per hour. Divide to find the number of hours per week Jade works.
ZanzabumX [31]

So if Jade makes $306.25 a week and for every hour she works, she makes $8.75, then all you have to do is divide 306.25 by 8.75.

306.25/8.75 = 35 hours should be your answer

Let me know if that doesn't make sense or you still don't understand it :)

5 0
3 years ago
Read 2 more answers
The height of an airplane as it descends to an airport runway
olga55 [171]
Rational. Not whole or integer because its an exact measurement and not irrational because it CAN be expressed as a ratio (fraction, decimal measurement )
4 0
3 years ago
Bruce drew a scale drawing of a restaurant. The scale he used was 1 millimeter 10 meters The restaurant's kitchen is 3 millimete
Burka [1]

Answer:

answer=30

Step-by-step explanation:

by taking the length as x

1 millimetre = 10 metres

3 millimetres = x

10×3= 30 metres

HOPE THIS HELPS

8 0
2 years ago
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