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Flauer [41]
3 years ago
5

Which set is a proper subset of the counting numbers? {−1,0,1} {5} {0} {1,2,3,…}

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

{5}

Step-by-step explanation:

Set of counting numbers:

Set of numbers you count with, starting from 1. So

C = {1,2,3,4,5,....}

Proper subset of a set:

A proper subset of a set A is a subset B that is not equal to A, that is, all elements of B are in A but A has at least one element that is not in B.

In this question:

The set of counting numbers is C = {1,2,3,4,5,....}

Among the options, {-1,0,1} and {0} are not subsets of C, as they contain elements that are not in C, while {1,2,3,...} is not a proper subset, as it is equals to C. So the correct answer is {5}.

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A contractor is considering a sale that promises a profit of ​$35 comma 000 with a probability of 0.7 or a loss​ (due to bad​ we
Nady [450]

Answer:

$19,100

Step-by-step explanation:

The expected profit would be the probability of profit multiplied by the profit and the sum of probability of loss multiiplied by the loss.

So, we can say:

E(p) = P(p)*P + P(L)*L

Where

E(p) is expected profit

P(p) is probabilty of profit (0.7)

P is the profit (35,000)

P(L) is probability of loss (0.3)

L is the loss (-18,000)

Substituting these values, we get:

E(p) = P(p)*P + P(L)*L

E(p) = (0.7)(35,000) + (0.3)(-18,000)

E(p) = 19,100

The expected profit is $19,100

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4 years ago
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BartSMP [9]
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5 0
3 years ago
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Find the values of x, y, and z. The diagram is not to scale.
Kruka [31]

we know that

The sum of the internal angles in the triangle must be 180 degrees

see the attached figure with letters to better understand the problem

Step 1

<u>Find the measure of the angle x</u>

In the triangle ABC

63\°+36\°+x\°=180\°

solve for x

99\°+x\°=180\°

x\°=180\°-99\°

x=81\°

therefore

<u>the answer Part a)  is</u>

the measure of angle x is 81\°

Step 2

<u>Find the measure of the angle z</u>

we know that

x+z=180\° --------> by supplementary angles

substitute the value of x

81\°+z=180\°

z=180\°-81\°

z=99\°

therefore

<u>the answer Part b)  is</u>

the measure of angle z is 99\°

Step 3

<u>Find the measure of the angle y</u>

In the triangle ACD

13\°+z\°+y\°=180\°

solve for y

13\°+99\°+y\°=180\°

112\°+y\°=180\°

y\°=180\°-112\°

y\°=68\°

therefore

<u>the answer Part c)  is</u>

the measure of angle y is 68\°

5 0
3 years ago
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If the sum of simple interest and compound interest at the rate of 8% per annum for 2 years is rupees 816. Find the principal.​
PilotLPTM [1.2K]

p=?

r=8

i=816

t=2years

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p=I×100/t×r

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4 0
3 years ago
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Solnce55 [7]

Answer:

19y+21

Step-by-step explanation:

= 3y + 3y + 7y + 6y + 15 + 6 \\  = 6y + 6y + 7y + 15 + 6 \\  = 12y + 7y + 21 \\ =  19y + 21

4 0
3 years ago
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