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3 years ago

The living room size on the blue print is 6 inches and the actual size is 10 feet. What is the scale factor?

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

Answer:The scale factor is 20.

Step-by-step explanation:

6 INCHES = 1/2 FOOT

10 FOOT TO 1/2 FOOT = 10/(1/2) = 20/1

The scale factor is 20 to 1

or, since your scale is 6 in to 10 ft

you may list the scale factor as 1 to 20

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Item 9 You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate? The annu

xxTIMURxx [149]

Answer:

0.06 or 6%

Step-by-step explanation:

I=Prt, so r= 1/(Pt)

T= 9 months/12 months=0.75

R=$18/($400*0.75)=0.06 or 6%

Note the * is times

7 0

3 years ago

Question 61 pts Richard has been given a 12-question multiple-choice quiz in his history class. Each question has three answers,

Brut [27]

Answer:

0.946 = 94.6% probability that he will answer at least 2 questions correctly.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

12 questions.

This means that $n = 12$

Each question has three answers, of which only one is correct.

This means that $p = \frac{1}{3} = 0.3333$

Assuming that Richard guesses on all 12 questions, find the probability that he will answer at least 2 questions correctly.

Either he answers less than 2 questions correctly, or he answers at least 2 questions correctly. The sum of the probabilities of these outcomes is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$ . So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = x) = C_{12,0}.(0.3333)^{0}.(0.6667)^{12} = 0.008$

$P(X = x) = C_{12,1}.(0.3333)^{1}.(0.6667)^{11} = 0.046$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.008 + 0.046 = 0.054$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.054 = 0.946$

0.946 = 94.6% probability that he will answer at least 2 questions correctly.

3 0

3 years ago

BIG POINTS!

nlexa [21]

The volume V of a cone with radius r is one-third the area of the base B times the height h.
so,

The answer is 57.3248408

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3 years ago

UM 1

Alchen [17]

ye it is correct answer you can't thanks your self

6 0

3 years ago

What is an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5)

Anna [14]

Pareallell lines have same slope
y=mx+b, m=slope
y=3x-8 so we need
y=3x+b
find b

so given (4,-5)
we can subsitute the point
(x,y)
(4,-5)
x=4 then y=-5

so
-5=3(4)+b
-5=12+b
-17=b

y=3x-17 is equation
D is answer

3 0

3 years ago