a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop

Answers

Answer 1

Answer: the width of the laptop is 6 inches long.

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Divide. −5 5/8÷5...........................................

X =

10
8
9
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Answers

Answer:

x = 8.

Step-by-step explanation:

Using the chords of a circle intersection theorem:

5x = 4 * 10

x = 40 /5

x = 8.

Answer:

X=8

Step-by-step explanation:

Shown are lines p , r , t , and w. Suppose angles 8 and 10 are congruent. Given this fact, which two line must be congruent? Show all work to receive credit.

Answers

Answer:

lines t and w must be parallel

Step-by-step explanation:

Angles 8 and 10 are alternate interior angles with respect to transversal r across lines t and w. If those angles are congruent, then lines t and w must be parallel.

What fraction has a decimal value between 1/2 and 3/4

Answers

To find the decimal value, we must convert 1/2 and 3/4 into decimal.
1/2=0.5
3/4=0.75
Now we just have choose a random decimal in between the decimal.
Let's choose 0.6
Now we have to convert the decimal into a fraction. So we'll multiply the decimal by100.
0.6×100=60
Then we make the 60 into a fractions. 60/100
Then we'll simply the fraction. 60/100÷10=6/10÷2=3/5
There you go. You have your answer.

The answer is 3/8 you multiply the top number with the bottom

You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the firstversion, you are given three attempts, and you estimate that your probability of success on any given throw is 0.1.
In the second version, you are given five attempts, but the target is smaller, and you estimate that your probability of
success on any given throw is 0.05. The prizes for the two versions of the game are the same, and you are willing to
assume that the outcomes of your throws are independent. Which version of the game should you choose? (Hint: In
the first version of the game, the probability that you do not get the prize is the probability that you fail on all three
attempts.)

Answers

Answer:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^(3-0)=0.729$

And the probability of loss with the first wersion is 0.729

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^(5-0)=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=3, p=0.1)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^(3-0)=0.729$

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

$Y \sim Binom(n=5, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(Y)=(nCy)(p)^y (1-p)^(n-y)$

Where (nCx) means combinatory and it's given by this formula:

$nCy=(n!)/((n-y)! y!)$

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^(5-0)=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape? Round the nearest whole number.

Answers

Answer:

A=28

Step-by-step explanation:

the area of a circle is pi*r^2

so if you fold it into fourths then its the same equation just multiplied by 1/4 because you are finding the area of 1/4 of the circle.

A=1/4* $\pi$ *6^2

A=28.274334

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answers

Answer: 8 years

Step-by-step explanation:

8 years

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