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adoni [48]
3 years ago
11

Find the least common denominator for these two rational expressions -4/a^2 and 5/3a

Mathematics
2 answers:
Firdavs [7]3 years ago
7 0

Answer:

<u>The answer is 3a², where a ≠ 0</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Rational expressions are 4/a² and 5/3a

2. Find the least common denominator for these two rational expressions.

Denominators of the expressions are:

a² and 3a ⇒ a² = a * a, 3a = 3 * a

The least common denominator will be:

<u>3a², where a ≠ 0</u>

3a²/a² = 3 and 3a²/3a = a

jeyben [28]3 years ago
4 0

Answer:

3a²  

Step-by-step explanation:

least common denominator of a² and 3a

a²  = a *a

3a = 3 * a

least common denominator = 3 * a*a =3a²  

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It
Nezavi [6.7K]

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

From the z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

6 0
4 years ago
Write a variable expression to describe the rule for the sequence. Then find the 100th term in the sequence. –4, 1, 6, 11, 16, .
SVETLANKA909090 [29]

Answer:

a+(n-1)d

Step-by-step explanation:

491

3 0
3 years ago
Alex, Toby and Samuel are playing a game together.
Shalnov [3]

Answer:

1/9

Step-by-step explanation:

There are three places and three people.

Times them together for the total outcomes:

1/3 x 1/3= 1/9

8 0
3 years ago
A shop owner offered a 20%discount off the regular price of a mirror.The amount of the discount is $3.00
Scrat [10]

Answer:

A) $15

Step-by-step explanation:

let x represent the regular price of the mirror

so, 20% of x = 3

20/100 * x = 3

20x = 300

x = 300/20

x = 15

Hence, the regular price of the mirror is $15

8 0
3 years ago
Read 2 more answers
Find the areas of the shaded regions.
diamong [38]

Answer:

41.8887 cm^2

Step-by-step explanation:

area of a circle
A = pi * r^2
A = pi * (3 + 4)^2
A = pi * 49
A = 153.94

120 / 360 = 1/3
153.94 / 3 = 51.3134

now area of inner circle
A = pi * 3^2
A = pi * 9
A = 28.274
28.274 / 3 = 9.4247

subtract
51.3134 - 9.4247 = 41.8887

7 0
3 years ago
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