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3 years ago

Mrs smith earns 3,500$ a month. She saves 280$ a month. Savings is what percent of her income

Mathematics

1 answer:

disa [49]3 years ago

6 0

Answer:

Step-by-step explanation:

(there's many percentage calculators online) basically just look up "what percent is 280 of 3500')

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Hi, can you please help me answer this direct proportion question?

Oksanka [162]

Answer:

X = 100

Step-by-step explanation:

In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.

Multiply the left by k, so $y = \frac{k}{\sqrt{x} }$
we know that y= 5, for x = 36, so sub this in the equation
$5 = \frac{k}{\sqrt{36} }$
simplify $5 = \frac{k}{6 }$
re-arrange for k, k = 5*6 = 30
now we know k, we can create the real equation, $y = \frac{30}{\sqrt{x} }$
sub in 3 as y
$3 = \frac{30}{\sqrt{x} }$
x = 100

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2 years ago

Express each decimal as fraction or mixed number in simplest form 1.) 5.8 2.) 9.32

ioda

1.) 29/5
2.) 233/25.
I hope it helps

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3 years ago

From 1000 students half being boys and half being girls 100 names were pulled out of a hat to complete a survey for school what

Mama L [17]

Random sampling. its where you pick or make a smaple at random

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3 years ago

Read 2 more answers

Suppose that bugs are present in 1% of all computer programs. A computer de-bugging program detects an actual bug with probabili

lawyer [7]

Answer:

(i) The probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

Step-by-step explanation:

Denote the events as follows:

B = bugs are present in a computer program.

D = a de-bugging program detects the bug.

The information provided is:

$P(B) =0.01\\P(D|B)=0.99\\P(D|B^{c})=0.02$

(i)

The probability that there is a bug in the program given that the de-bugging program has detected the bug is, P (B | D).

The Bayes' theorem states that the conditional probability of an event E given that another event X has already occurred is:

$P(E|X)=\frac{P(X|E)P(E)}{P(X|E)P(E)+P(X|E^{c})P(E^{c})}$

Use the Bayes' theorem to compute the value of P (B | D) as follows:

$P(B|D)=\frac{P(D|B)P(B)}{P(D|B)P(B)+P(D|B^{c})P(B^{c})}=\frac{(0.99\times 0.01)}{(0.99\times 0.01)+(0.02\times (1-0.01))}=0.3333$

Thus, the probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii)

The probability that a bug is actually present given that the de-bugging program claims that bug is present is:

P (B|D) = 0.3333

Now it is provided that two tests are performed on the program A.

Both the test are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is:

P (Bugs are actually present | Detects on both test) = P (B|D) × P (B|D)

$=0.3333\times 0.3333\\=0.11108889\\\approx 0.1111$

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii)

Now it is provided that three tests are performed on the program A.

All the three tests are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is:

P (Bugs are actually present | Detects on all 3 test)

= P (B|D) × P (B|D) × P (B|D)

$=0.3333\times 0.3333\times 0.3333\\=0.037025927037\\\approx 0.037$

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

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3 years ago

Wha is the name of the line that you use to define a parabola?

Basile [38]

Answer is:

Directrix - D.

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3 years ago

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