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3 years ago

Which of the following is equivalent to log base(25) 125?

Mathematics

2 answers:

kodGreya [7K]3 years ago

8 0

Answer:

answer for this one is 3/2 or 1.5.

Step-by-step explanation:

Scilla [17]3 years ago

3 0

The solution to the problem is as follows:

x = log (25) (125)

125 = 25^x

log 125 = x log 25
<span>
x = 3/2
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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PLEASE HELP <br> WILL GIVE BRAINLIEST AND 5.0 RATING

jasenka [17]

Answer:

Step-by-step explanation:

(-4,-5)

move up 3 units

change in y-axis

-5+3=-2

(-4,-2)

4 0

2 years ago

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces

nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

The probability of being higher than x is:

$P(X > x) = \frac{b - x}{b-a}$

The probability of being between c and d is:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that $a = 8.5, b = 12$

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

$P(X \leq x) = \frac{x - a}{b-a}$

$P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286$

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

$P(X > x) = \frac{b - x}{b-a}$

$P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857$

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

$P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714$

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

$P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571$

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0

3 years ago

If Q is the midpoint of segment PR, PQ = 17 cm, then what is the total length of PR?

Tpy6a [65]

Answer:

34 cm

Step-by-step explanation:

PR = PQ + QR

PQ = QR because Q is the mid-point

Since PQ = 17 cm, then QR = 17 cm

so,

PR = 17 + 17

PR = 34 cm

6 0

2 years ago

What is the mean score of the vaulter?

dsp73

~Hello There!~

6.856 + 7.923 + 8.135 = 22.914
22.914/3 = 7.638 <=== Mean score

Hope This Helps You!
Good Luck :)
Have A Great Day ^_^

- Hannah ❤

6 0

3 years ago

Read 2 more answers

A science fair poster is a rectangle 48 inches long and 36 inches wide what is the area of the poster in square feet/10335939/1f

statuscvo [17]

48 inches is 4 feet.
36 inches is 3 feet.

The question is asking for the area in square feet of a rectangle that is 4 feet long by 3 feet wide. That area is the product of these dimensions:
(4 ft)×(3 ft) = 12 ft²

5 0

3 years ago