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3 years ago

The ration of the weight of vegetables sold to the weight of fruits sold is 45 : 144.

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

A) 0.3215
b) 8/25

(Based of my past 7 years of school)

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24x^5-8x^4+12x^3-4x^2 / 4x^2

Margaret [11]

Answer:

The detailed process of simplification is :

Step-by-step explanation:

$\frac{24x^{5} - 8x^{4} + 12x^{3} - 4x^{2} }{4x^{2} }$

= $\frac{24x^{5} }{4x^{2} }$ - $\frac{8x^{4} }{4x^{2} }$ + $\frac{12x^{3} }{4x^{2} }$ - $\frac{4x^{2} }{4x^{2} }$ ..........................separate the terms

= 6 $x^{5-2}$ - 2 $x^{4-2}$ + 3 $x^{3-2}$ - 1 ................ subtract the power of x from denominator

= 6 $x^{3}$ - 2 $x^{2}$ + 3 $x$ -1

= 2 $x^{2}$ ( 3 $x$ -1 ) + (3 $x$ -1 )................................... Take (3 $x$ -1 ) common in (6 $x^{3}$ - 2 $x^{2}$ )

= (3 $x$ -1 ) (2 $x^{2}$ +1) .......................................Take (3 $x$ -1 ) common in whole equation

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3 years ago

A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th

taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0518

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

$n = 27, s = 21.4$ . So

$M = 2.0518\frac{21.4}{\sqrt{27}}$

$M = 8.45$

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

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3 years ago

Are the following figures similar?

Tcecarenko [31]

No the corresponding angles are not congruent, because the angle measures on the smaller figure are 90, 90, 137, and 43, while the larger figure has angle measures of 90, 90, 136, 44. that is why the following figures are not congruent.

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3 years ago

Which equation illustrates the identity property of multiplication? (a + bi) × c = (ac + bci) (a + bi) × 0 = 0 (a + bi) × (c + d

labwork [276]

Answer:

$(a + bi) \times 1 = (a + bi)$

Step-by-step explanation:

The identity property means that whatever you put in is whatever comes out. Notice that if we multiply 1 with any number, we get that number back. So multiplying by 1 is the identity property of multiplication.

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3 years ago

Read 2 more answers

Megan’s driveway is 14/15 mile long. Megan’s driveway is 2/15 mile longer than Matt’s driveway. How long is Matt’s driveway?

marshall27 [118]

Answer:

4/5 mile

Step-by-step explanation:

14/15 - 2/15 = 12/15 or 4/5

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2 years ago

﻿The ration of the weight of vegetables sold to the weight of fruits sold is 45 : 144.

The ration of the weight of vegetables sold to the weight of fruits sold is 45 : 144.