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3 years ago

4/7 - 2/8 = whats the difference

Mathematics

1 answer:

Lelu [443]3 years ago

4 0

Answer: 9/28

Step-by-step explanation:

Multiply the denominators by each other to make them the same. Multiply each numerator by the same number as it’s corresponding denominator. Subtract as usual and simplify

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find the internal representation of 531, if the computer uses a 32 bit memory location to store each number

Fudgin [204]

The internal representation of 531 using a 32 bit memory location to store each number is; 00000000000000000000001100100001

<h3>Representation of numbers in the computer</h3>

When representing numbers, they are divided by 2 as follows;

531/2 = 265 remainder 1

265/2 = 132 remainder 1

132/2 = 66 remaining 0

66/2 = 33 remainder 0

33/2 = 16 remainder 1

16/2 = 8 remainder 0

8/2 = 4 remainder 0

4/2 = 2 remainder 0

2/2 = 1 remainder 0

1/2 = 0 remainder 1

Hence, the representation of 531 in a computer using a 32 bit memory is;

00000000000000000000001100100001.

Read more on number representation in a computer;

brainly.com/question/19667078

5 0

2 years ago

Evaluate -5 exponent 3

Snezhnost [94]

$-5^3 = -5 * -5 * -5\\-5 * -5 = 25\\25 * -5 = -125$

The answer is -125.

5 0

3 years ago

You have a coin that is not weighted evenly and therefore is not a fair coin. Assume the true probability of getting heads when

Alexandra [31]

Answer:

$X \sim Binom(n=157, p=0.52)$

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:

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

And we want this probability:

$P(X$

And we can use the following Excel code to find the exact answer:

"=BINOM.DIST(75,157,0.52,TRUE)"

And we got 0.1633

The other way to solve the problem is using the normal approximation

We need to check the conditions in order to use the normal approximation.

$np=157*0.52=81.64 \geq 10$

$n(1-p)=157*(1-0.52)=75.36 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=157*0.52=81.64$

$\sigma=\sqrt{np(1-p)}=\sqrt{157*0.52(1-0.52)}=6.26$

We want this probability:

$P(X$

And using the continuity correction we have this:

$P(X$

We can use the z score given by this formula $Z=\frac{x-\mu}{\sigma}$ .

$P(X< 76.5)=P(\frac{X-\mu}{\sigma}< \frac{76.5-81.64}{6.26})=P(Z < -0.821)=0.206$

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

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

$X \sim Binom(n=157, p=0.52)$

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:

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

And we want this probability:

$P(X$

And we can use the following Excel code to find the exact answer:

"=BINOM.DIST(75,157,0.52,TRUE)"

And we got 0.1633

The other way to solve the problem is using the normal approximation

We need to check the conditions in order to use the normal approximation.

$np=157*0.52=81.64 \geq 10$

$n(1-p)=157*(1-0.52)=75.36 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=157*0.52=81.64$

$\sigma=\sqrt{np(1-p)}=\sqrt{157*0.52(1-0.52)}=6.26$

We want this probability:

$P(X$

And using the continuity correction we have this:

$P(X$

We can use the z score given by this formula $Z=\frac{x-\mu}{\sigma}$ .

$P(X< 76.5)=P(\frac{X-\mu}{\sigma}< \frac{76.5-81.64}{6.26})=P(Z < -0.821)=0.206$

4 0

4 years ago

What is the y-intercept of a line that passes through the points (5, -6.5) and (-12, 2)?

n200080 [17]

Answer:

y-intercept = -4

Step-by-step explanation:

equation of a line: y=mx+b

two points given are (5, -6.5) and (-12, 2)

first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.

formua to find m: $\frac{2-(-6.5)}{-12-5}$ = -0.5

to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.

if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b

then you just solve for b and it turns out to be -4.

4 0

3 years ago

Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?

Marysya12 [62]

Answer:

3/7

Step-by-step explanation:

(# yellow)/(total #) = 135/315 = 3/7

The probability that a randomly chosen flower will be yellow is 3/7.

5 0

4 years ago

Read 2 more answers