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2 years ago

Kevin has a deck of cards. There are 10diamonds, 5 spades, 12 clubs and 3 hearts.A card was chosen at random. What is the

Mathematics

1 answer:

ivann1987 [24]2 years ago

5 0

Answer: 2/3.

Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total. 1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well. The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.

Have a great day! :)

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If the confidence level is decreased and the standard deviation and sample size stay the same, then the margin of error will be

Eduardwww [97]

Answer:

true

Step-by-step explanation:

If the standard deviation is increased and the sample size and confidence level stay the same, then the margin of error will also be increased

3 0

3 years ago

At 10 percent interest, how long does it take to quadruple your money?

horsena [70]

It takes about 14.55 years for quadruple your money

Solution:

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

Rule of 144 Formula:

$N = \frac{144}{R}$

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

$\rightarrow N = \frac{144}{10} = 14.4$

Thus it takes about 14.4 years for quadruple your money.

Another method:

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

$Amount = Principal(1+\frac{R}{100})^n$

$4 = 1(1+\frac{10}{100})^n$

$4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55$

Thus Option D 14.55 years is correct

7 0

3 years ago

-6x+4y=10 X-5y=-21 Please solve !

galina1969 [7]

X-5y=-21
x=-21+5y

-6(-21+5y)+4y=10
126+-30y+4y=10
126+-26y=10
-26y=-116
y=4.4615
x=1.3076

5 0

3 years ago

What is the value of x in units

nikdorinn [45]

$\triangle RQT\ \text{and}\ \triangle SRT\ \text{are similar. Therefore the sides are in proportion.}\\\\\dfrac{RT}{TQ}=\dfrac{TS}{RT}\\\\\text{We have}\ RT=x,\ TQ=16,\ TS=9.\ \text{Substitute:}\\\\\dfrac{x}{16}=\dfrac{9}{x}\qquad\text{cross multiply}\\\\x^2=(9)(16)\\\\x^2=144\to x=\sqrt{144}\\\\\boxed{x=12}$

6 0

3 years ago

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What is the mean? {38, 21, 64, 59, 21, 12, 13, 66, 55, 21}

pogonyaev

Answer:

Step-by-step explanation:

Add all the numbers up and you will get 370. How many numbers are there in total? 10 right so you divide 370 with 10 and get 37.

hope this help

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3 years ago

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