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3 years ago

PLEASE HELP!!!!

Mathematics

1 answer:

Mandarinka [93]3 years ago

8 0

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

Statement is

If you have a small lawn to mow, then you do not live in a mansion.
"If p then q"

Equivalent statements to the given one:

1. Not p or q
2. q or not p
3. If not q then not p

Options to identify equivalent statement

A) If you have a small lawn to mow, then you live in a mansion.

False

B) If you do not have a small lawn to mow, then you live in a mansion.

False

C) If you live in a mansion, then you do not have a small lawn to mow.

True as per rule 3

D) If you do not live in a mansion, then you have a small yard to mow.

False

Correct answer is option C

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Marina thinks the cost to rent scooters was $100 .The actual price is $150.What is Marina's percent error?

zvonat [6]

The percent error is 33.3%

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3 years ago

Read 2 more answers

In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 start fraction, 1, divided by, 10, end fraction times

MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples

9.304,

9.004

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as $\frac{1}{10} \times$ the digit 4 in 3.8463

That is

$\frac{1}{10} \times 0.04 = 0.004$

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0

3 years ago

Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

3 0

3 years ago

Exemplos de problemas com porcentagem (resolvido)

Marizza181 [45]

12 de 24 seria

12÷24 = 0.5
0.5=
50% entonces 12 de 24 es 50%

igual con 18 de 20

18÷20= 0.9
0.9=
90% entonces 18 de 20 es 90%

5 0

3 years ago

Going into a recent election, only about 62% of people old enough to vote were registered. In a community of about 55,200 eligib

luda_lava [24]

All we need to do is to divide the number of eligible voters by 62% to find out how many people have been registered:

55200 ÷ 62% =
= 55200 ÷ 62/100 =
= 55200 * 100/62 =
= 5520000 / 62 =
= 89032,25806451613 ≈ (note the rounding to the nearest whole number)
≈ 89032

Doublecheck:

89032 * 62% =
= 89032 * 62/100 =
= 5519984 / 100 =
= 55199,84 ≈ (the difference is because of the rounding before)
≈ 55200

Answer: There were 89,032 people registered.

4 0

3 years ago