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3 years ago

Divide Rs.300 between A and B in the ratio2:3

Mathematics

1 answer:

kherson [118]3 years ago

3 0

The value of 300 is divided into 120 and 180 in the ratio of 2:3.

<u>Step-by-step explanation</u>:

The total value is 300.
This total of 300 should be divide in the ratio of 2:3.

Let us assume that the common factor be x in the ratio.

The value of the part A is 2x.
The value of the part B is 3x.

It is known that, 2x + 3x = 300

⇒ 5x = 300

⇒ x = 300/5

⇒ x =60.

<u>To find the values of A and B :</u>

A= 2x

⇒ 2(60)

⇒ 120

B= 3x

⇒ 3(60)

⇒ 180

The value of 300 is divided into 120 and 180 in the ratio of 2:3.

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What is the approximate radian measure<br> of an angle with a degree measure of<br> 59.6°?

Stella [2.4K]

Answer:

The approximate radian measure of the angle. So we have 15 nine 0.6 degrees convert degrees to radiance. You have to multiply by pi over 1 80. So if we did that, that'd be 59.6 pi over 1 80. So if we want to know the approximate value, we're going to use the pi button on our calculator to figure out what 59.6 times pi is. That's approximately 187.2389, Divided by 1 80. So now I would divide that number by 180 and that gives me 1.04 radiance, 1.04 radiance is the answer.

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2 years ago

Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:

Igoryamba

Answer: 44°

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°

If your polygon has six sides, the final angle will be:

= 360 - (63 + 64 + 82 + 49 + 58)

= 360 - 316

= 44°

6 0

3 years ago

It has been found that 50.3% of U.S. households own stocks and mutual funds. A random sample of 300 heads of households indicate

katrin [286]

Finding the p-value of the test using the z-distribution, as we are working with a proportion, it is found that this was a significant difference for levels of significance of 0.02 and lower.

<h3>What are the hypothesis test?</h3>

At the null hypothesis, we test if the proportion is of 50.3%, hence:

$H_0: p = 0.503$

We have a two-tailed test, hence at the alternative hypothesis we test if the proportion is different, that is:

$H_1: p \neq 0.503$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

In this problem, the parameters are:

$n = 300, \overline{p} = \frac{171}{300} = 0.57, p = 0.503$

Hence:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.57 - 0.503}{\sqrt{\frac{0.503(0.497)}{300}}}$

$z = 2.32$

<h3>What is the p-value?</h3>

Considering a two-tailed test, using a z-distribution calculator, the p-value is of 0.0203. Hence this was a significant difference for levels of significance of 0.02 and lower.

More can be learned about the z-distribution at brainly.com/question/26454209

5 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! <br><br> What is (f/g)(x) ?

Rudiy27

Answer: $\bold{D.\ \dfrac{x+4}{x}\ where\ x \neq 0, \dfrac{2}{3}}$

<u>Step-by-step explanation:</u>

f(x) = 3x² + 10x - 8

g(x) = 3x² - 2x

$\dfrac{f(x)}{g(x)}=\dfrac{3x^2+10x-8}{3x^2-2x}=\dfrac{(3x-2)(x+4)}{x(3x-2)}=\dfrac{x+4}{x}$

Restriction on x: the denominator cannot be equal to zero. So,

x(3x - 2) ≠ 0

→ x ≠ 0 and 3x - 2 ≠ 0

3x ≠ 2

x $\neq \dfrac{2}{3}$

8 0

3 years ago

Need both answers please

Harman [31]

1. Yes. They are congruent because they are literally the same rectangle.

2. Angles h and g are both 90 degrees because they are rectangles and the inside angles of a rectangle must add up to 360. So you get 90 + 90 + 90 + h = 360. 270 + h = 360. h = 90. Same with g.

Because they are congruent as told in the problem, c = 13 ft. and d = 18 ft.

8 0

3 years ago