All categories

2 years ago

Jana's friend draws a card that shows a 0. Draw a point at 0. What is the opposite of 0?

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

8 0

Answer:

There is no opposite of 0.

Step-by-step explanation:

There cannot be a zero the opposite of zero. If there was, then there would be two 0's, and there is only one.

You might be interested in

Joe is riding his bicycle. He rides for 3 hours at a speed of 4.8 kilometers per hour. For how many kilometers does he ride?

eduard

Answer:

14.4km

Step-by-step explanation:

<h2>Speed = distance / time </h2>

speed = 4.8 km/h
time = 3 hrs
distance = ?

Distance = speed * time

Distance = 4.8 * 3 = 14.4km

5 0

1 year ago

The hourly median power (in decibels) of received radio signals transmitted between two cities

trasher [3.6K]

Using the lognormal and the binomial distributions, it is found that:

The 90th percentile of this distribution is of 136 dB.

There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.

There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.

In a <em>lognormal </em>distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{\ln{X} - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = \sqrt{1.22}$

Question 1:

The 90th percentile is X when Z has a p-value of 0.9, hence <u>X when Z = 1.28.</u>

$Z = \frac{\ln{X} - \mu}{\sigma}$

$1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}$

$\ln{X} - 3.5 = 1.28\sqrt{1.22}$

$\ln{X} = 1.28\sqrt{1.22} + 3.5$

$e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}$

$X = 136$

The 90th percentile of this distribution is of 136 dB.

Question 2:

The probability is the <u>p-value of Z when X = 150</u>, hence:

$Z = \frac{\ln{X} - \mu}{\sigma}$

$Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}$

$Z = 1.37$

$Z = 1.37$ has a p-value of 0.9147.

There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.

Question 3:

10 signals, hence, the binomial distribution is used.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, we have that $p = 0.9147, n = 10$ , and we want to find P(X = 6), then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065$

There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.

You can learn more about the binomial distribution at brainly.com/question/24863377

5 0

2 years ago

For Judy's birthday, her friend gave her a gift card. She went to the clothing store and bought a total of $178.25 worth of clot

vladimir1956 [14]

Answer:

<h3>The percentage is <u>60%</u> of the total amount paid with the gift card. </h3>

Step-by-step explanation:

Given:

Total worth of clothing is $178.25 and the amount paid with cash is $71.30.

Let us find the part of amount paid with the gift card:

Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).

$G\ =\ 178.25-71.30$

$G\ =\ 106.95$ .

So, the amount paid with the gift card is $106.95.

Now, according to question:

$\frac{106.95}{178.25}\times100$

$=0.6\times100$

$=60$ %.

Therefore, the percentage is <u>60%</u> of the total amount paid with the gift card.

6 0

2 years ago

The distance from Rodney's house to the park is 100 meters. If he walks to the park and back to his house, how far will he have

konstantin123 [22]

Answer:

c. 20,000cm

Step-by-step explanation:

from is house to the park is 100m

from the park back to his house is another 100m

100m+100m=200m

1m = 100cm

200m = xcm

cross multiply

xcm = 200×100

xcm= 20,000cm

3 0

2 years ago

What is the mean of the number 48,78,54,68

lorasvet [3.4K]

Answer:

Step-by-step explanation:

$mean = \frac{48 + 78 + 54 + 68}{4} \\ = \frac{248}{4} \\ = 62$

6 0

2 years ago