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3 years ago

Two less than six times a number is eight

Mathematics

2 answers:

GrogVix [38]3 years ago

8 0

Answer:

6x-2=8

x=1 $\frac{2}{3}$

Step-by-step explanation:

pychu [463]3 years ago

7 0

Answer:

Step-by-step explanation:

8=4

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11. A scuba diver's elevation changed by -12 3/4 feet every minute. This was

Andrei [34K]

Answer:

-8 1/2 ft / min

Step-by-step explanation:

X = second diver rate

1 1/2 X = -12 3/4

3/2 X = - 51/4

X = - 51/4 * 2/3 = - 102/12 = -8 1/2 ft / min

7 0

2 years ago

Use the triangle to answer the question.Find the value of x. Round to the nearest degree.

AlexFokin [52]

Given:

base = 16

hypotenus = 21

$\cos \theta=\frac{base}{hypotenus}$

Angle = x

$\begin{gathered} \cos x=\frac{16}{21} \\ \cos x=0.76 \\ x=\cos ^{-1}(0.76) \\ x\approx40 \end{gathered}$

The value of x is 40 degree.

5 0

1 year ago

The length of a rectangle is 8 centimeters. what is the width?

topjm [15]

Answer:

This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.

7 0

3 years ago

The probability that a student has a Visa card (event V) is .73. The probability that a student has a MasterCard (event M) is .1

snow_lady [41]

We assumed in this answer that the question b is, Are the events V and M independent?

Answer:

(a). The probability that a student has either a Visa card or a MasterCard is $\\ P(V \cup M) = 0.88$ . (b). The events V and M are not independent.

Step-by-step explanation:

The key factor to solve these questions is to know that:

$\\ P(V \cup M) = P(V) + P(M) - P(V \cap M)$

We already know from the question the following probabilities:

$\\ P(V) = 0.73$

$\\ P(M) = 0.18$

The probability that a student has both cards is 0.03. It means that the events V AND M occur at the same time. So

$\\ P(V \cap M) = 0.03$

The probability that a student has either a Visa card or a MasterCard

We can interpret this probability as $\\ P(V \cup M)$ or the sum of both events; that is, the probability that one event occurs OR the other.

Thus, having all this information, we can conclude that

$\\ P(V \cup M) = P(V) + P(M) - P(V \cap M)$

$\\ P(V \cup M) = 0.73 + 0.18 - 0.03$

$\\ P(V \cup M) = 0.88$

Then, the probability that a student has either a Visa card or a MasterCard is $\\ P(V \cup M) = 0.88$ .

Are the events V and M independent?

A way to solve this question is by using the concept of conditional probabilities.

In Probability, two events are independent when we conclude that

$\\ P(A|B) = P(A)$ [1]

The general formula for a conditional probability or the probability that event A given (or assuming) the event B is as follows:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

If we use the previous formula to find conditional probabilities of event M given event V or vice-versa, we can conclude that

$\\ P(M|V) = \frac{P(M \cap V)}{P(V)}$

$\\ P(M|V) = \frac{0.03}{0.73}$

$\\ P(M|V) \approx 0.041$

If M were independent from V (according to [1]), we have

$\\ P(M|V) = P(M) = 0.18$

Which is different from we obtained previously;

That is,

$\\ P(M|V) \approx 0.041$

So, the events V and M are not independent.

We can conclude the same if we calculate the probability

$\\ P(V|M)$ , as follows:

$\\ P(V|M) = \frac{P(V \cap M)}{P(M)}$

$\\ P(V|M) = \frac{0.03}{0.18}$

$\\ P(V|M) = 0.1666.....\approx 0.17$

Which is different from

$\\ P(V|M) = P(V) = 0.73$

In the case that both events were independent.

Notice that

$\\ P(V|M)*P(M) = P(M|V)*P(V) = P(V \cap M) = P(M \cap V)$

$\\ \frac{0.03}{0.18}*0.18 = \frac{0.03}{0.73}*0.73 = 0.03 = 0.03$

$\\ 0.03 = 0.03 = 0.03 = 0.03$

3 0

4 years ago

HELP. EH PLEASE :’)

krek1111 [17]

Answer:

Two consecutive numbers are numbers that come after each other:x , x + 1 are consecutive numbers.3 \sqrt{3} = 3√3 = 5.19615242271Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

Step-by-step explanation:

7 0

3 years ago