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3 years ago

Evaluate each expression 5(2+4)-(2+3^3)

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

4 0

Answer:

Step-by-step explanation:

5(2+4)-(2+3^3)

=5(8)-(2+27)

=40-29

=11

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Amar keeps picking playing cards out of a standard deck of 52 cards in the hopes that he will

lapo4ka [179]

Answer:

The required probability is, 0.78

Step-by-step explanation:

There are, (52 - 13) = 39 cards which are not spade

5 cards can be chosen from the deck of 52 cards in

$^{52}{C}_{5}$ ways

and out of these 5 choices, none of them will be spade in,

$^{39}{C}_{5}$ ways

So,

P(None of the chosen cards is spade)

= $\frac {^{39}{C}_{5}}{^{52}{C}_{5}}$

$\simeq 0.22$

Hence,

P(out of these 5 choices, at least one card is spade)

$\simeq (1 - 0.22)$

= 0.78

4 0

3 years ago

Use the Counting Principle to find the probability. Choosing the 7 winning lottery numbers when the numbers are chosen at random

frozen [14]

Answer: 120

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

Since the order of the numbers doesn't matter we can use the formula:

$\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120$

7 0

3 years ago

Read 2 more answers

A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav

Genrish500 [490]

Answer:

24 km/h

Step-by-step explanation:

The speed of the boat in the lake = x
The speed of the current = 3 km/h

<u>Required equation:</u>

54 / (x + 3) + 42 / (x - 3) = 96/x
9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
9x² - 27x + 7x² + 21x = 16x² - 144
6x = 144
x = 144/6
x = 24 km/h

7 0

3 years ago

Use pictures or words to explain what shapes can be put together to make a hexagon shape.

GenaCL600 [577]

Triangles are the easiest shape to make a hexagon out of. You can do this by lining up 6 triangles where each base of the triangle lines up.

5 0

3 years ago

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there

Vedmedyk [2.9K]

Answer:

a) 151lb.

b) 6.25 lb

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

In this problem, we have that:

$\mu = 151, \sigma = 25, n = 16$

a) The expected value of the sample mean of the weights is 151 lb.

(b) What is the standard deviation of the sampling distribution of the sample mean weight?

This is $s = \frac{\sigma}{\sqrt{n}} = \frac{25}{\sqrt{16}} = 6.25$

8 0

3 years ago