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3 years ago

Please help me in this it's similar figures assessment

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

Answer:

Step-by-step explanation:

the triangles are similar so the sides are in proportion

(x/10)=(12/6)

6x=10*12

x=10*12/6=20

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You decide to market your own custom computer software. You must invest 3,255 for computer hardware,and spend 2.90 to buy and pa

ivanzaharov [21]

Answer: c) 300 copies

Step-by-step explanation:

Let x represent the number of copies that you must sell to break even.

You decide to market your own custom computer software. You must invest 3,255 for computer hardware,and spend 2.90 to buy and package each disk. This means that the total cost of producing each software would be

3255 + 2.9x

If each program sells for $13.75, it means that the total revenue from selling each software would be

13.75x

In order to break even, total cost would be equal to total revenue. Therefore,

3255 + 2.9x = 13.75x

13.75x - 2.9x = 3255

10.85x = 3255

x = 3255/10.85

x = 300 copies

8 0

2 years ago

Which algebraic expression has a term with a coefficient of 3? A -5y-7 B 3y+1 c 3(y-6) D-2y+5+3

kiruha [24]

B. 3y+1

Hope this helps! :)

7 0

2 years ago

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago

Does anyone know the answer to this?

pishuonlain [190]

Answer:

Rectangle

Step-by-step explanation:

(hope this helps!!)

8 0

2 years ago

Read 2 more answers

Use the babylonian method to approximate square root of 24 to the nearest hundredth.

irina [24]

We will start with our guess of 12, since 12*2 = 24.
Divide 24 by 12; 24/12=2. Average this answer with our guess: (12+2)/2=7. This is our new guess.
24/7=3.428571429. Average this with our guess of 7: (3.428571429+7)/2=5.214285715. This is our new guess.
24/5.214285715=4.602739726. Averaging with our guess: (4.602739726+5.214285715)/2=4.90851272. New guess!
24/4.90851272=4.889464766. Averaging with our guess: (4.889464766+4.90851272)/2=4.898988743. New guess! You can see as we go through our guesses are closer and closer to the same number...)
24/4.898988743=4.898970228. Averaging: (4.898970228+4.898988743)/2=4.898979486. At this point our answer is the same every time down to the hundred-thousandth. Our estimate to the nearest hundredth would be 4.90.

6 0

2 years ago

Please help me in this it's similar figures assessment​

Please help me in this it's similar figures assessment