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arsen [322]
2 years ago
9

The simple interest on a certain sum of money is 3/8 of the the sum after 6 1/4 years. Find the the rate per cent charged.

Mathematics
1 answer:
Masja [62]2 years ago
3 0
Time= 6 1/4= 25/4
Principal- Rs x
Rate=?
Rate=100 * Simple Interest
Rate= 100*3x*4 divided by x*8*25
Rate=6%
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You have a standard deck of 52 playing cards and draw out a single card at random. What is the chance of picking out a nine? Wri
motikmotik

There are 9 number cards from 2 to 10 in a deck of cards.

(2-10) has one 9

(2-10) has one 9

(2-10) has one 9

(2-10) has one 9

There are 4 nines in a deck of 52 cards. We know that 4 x 9 = 36.

The chance or probability of taking out a 9 is (36/52).

Reducing this fraction to the lowest terms we get 9/13.

5 0
3 years ago
A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
3 years ago
The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What
UkoKoshka [18]

Answer:

36 cubic centimeters

Step-by-step explanation:

In this question, we are tasked with calculating the volume of the rectangular prism.

mathematically, that can be obtained by using the formula for the volume of the rectangular prism.

V = Base area * height

from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.

Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters

3 0
3 years ago
Read 2 more answers
(2x + 3)/5 = (x - 2)/3<br><br> What is x?
RSB [31]
The answer should be 5 or -5
8 0
2 years ago
Mnv<br><img src="https://tex.z-dn.net/?f=2%20%5Ctimes%20%5Cfrac%7B7%7D%7B%3F%7D%20%20%3D%204" id="TexFormula1" title="2 \times \
faltersainse [42]

Answer:

? = 7/2

Step-by-step explanation:

? = x

a denominator can’t be equal to 0

x ≠ 0

14/x = 4

14 = 4x

x = 7/2

6 0
2 years ago
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