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3 years ago

What is the product of 5 to the power of 3 and 25?

1 answer:

5 0

Convert the worded expression to algebra
let the product = x

(5³) × 25 = x
write 25 as a base of 5 to a power
(5³) × (5²) = x

using the laws of indices
x = 5 $^{3 + 2}$
= 5⁵

product therefore is = 3125

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3 years ago

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Oranges sell 8 for $1.84. Find the unit rate.

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3 years ago

At Doggy Daycare, there are 3 trainers assigned for every 12 dogs. There are 72 dogs enrolled for the daycare on Tuesday. Determ

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Step-by-step explanation:

make a ratio relation:

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3 years ago

In a certain exam of grade ten, 75% students got high score in mathematics, 65%

faltersainse [42]

(i) The percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

<h3>What is probability?</h3>

The probability exists in the analysis of the possibilities of happening of an outcome, which exists acquired by the ratio between favorable cases and possible cases.

The number of students who got high scores in Mathematics was 75%.

The number of students who got high scores in English was 65%.

(i) The percentage of students who got high scores in both the subjects

100% - 6% = 94%

(75% + 65%) - 94%

= 140% - 94%

= 46%

Therefore, the percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam

= 300 $*$ 46%

= 300 $*$ (46 / 100)

= 300 $*$ 0.46

= 138.

Therefore, the total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ9

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2 years ago

Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds th

kow [346]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

X : 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7,31.6

True standard deviation (σ) = 4

α = 0.01

Mean (m) of the data:

Σ(X) /n = 520.7/20

m = 26.035 = 26.04

Uaing calculator :

Sample standard deviation (s) = 4.785

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

Test statistic (t) : (m - μ) / (s/√n)

t = (26.04 - 25) / (4.785/√20)

t = 0.972

We can obtain the p value using the pvalue from t score calculator :

df = n - 1 = 20 - 1 = 19

Decision:

If p < 0.01 ; reject null

p(0.972, 19) = 0.1716

Since p > 0.1716 ; we fail to reject the Null

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3 years ago