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Gnom [1K]
3 years ago
13

Help please! What is the answer?

Mathematics
2 answers:
algol [13]3 years ago
5 0

Answer:

Scale factor is 0.25

Step-by-step explanation:

To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is

1.5/6

=0.25

natta225 [31]3 years ago
3 0
0.25 because you have to x 1.5 by 4 to get 6 and 0.25 is equivalent to 1/4.
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Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical p
julsineya [31]

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

3 0
3 years ago
2. A CD is marked with a sale sticker saying it is 56% off. The original price is $10.17. What is the sale price?​
klasskru [66]

Answer:

4.4748

Step-by-step explanation:

$10.17- 56% = $4.4748

just round it of to 2 decimals

6 0
3 years ago
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose
Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses


e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Binomial 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.

Poisson mean:

\mu = 0.2

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164


0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

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

In which

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

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819

P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164&#10;

P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so p = 0.181

We want to find P(X = 0).

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

P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671

0.671 = 67.1% probability that neither contains a missing pulse

8 0
3 years ago
The movie, Avatar, earned $760 million in America theaters and $2.022 billion in foreign theaters. How much did Avatar earn worl
SCORPION-xisa [38]

Answer:

2.782 billion

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Question 1
arlik [135]

Answer:

30

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2

(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13

The perimeter of the triangle is 5 + 12 + 13 = 30

6 0
3 years ago
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