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lawyer [7]
3 years ago
10

What is the scale factor, k, equal to? k=−1 k=13 k=1 k=3

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

It's k=13

Step-by-step explanation:

aleksandrvk [35]3 years ago
4 0

Answer:

It's k=13

Step-by-step explanation:

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Help !
aivan3 [116]

Answer:

a. p(orange) = 5/14

b. p(green) = 3/14

c. p(red) = 1/7  

d. p(brown) = 2/7  

e. p(brown or red) = 3/7

Step-by-step explanation:

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.

p(color) = (number of pencils of that color)/(total number of pencils)

p(color) = (number of pencils of that color)/14

a. If a pencil is picked at random, what is the probability that the pencil

will be orange?

p(orange) = 5/14

b. If a pencil is picked at random, what is the probability that the pencil

will be green?

p(green) = 3/14

c. If a pencil is picked at random, what is the probability that the pencil will be red?

p(red) = 2/14 = 1/7

d. If a pencil is picked at random, what is the probability that the pencil

will be brown?

p(brown) = 4/14 = 2/7

e. If a pencil is picked at random, what is the probability that the pencil

will be brown or red?

brown: 4

red: 2

brown or red: 4 + 2

p(brown or red) = 6/14 = 3/7

3 0
3 years ago
A car can complete journey of 300 km with the average speed of 60 km per hour how long does it take to complete the journey what
Elden [556K]

Answer:

a. 5 hours

b. 40 kph

Step-by-step explanation:

300 km ÷ 60 km = 5 hours

200 km ÷ 5 hours = 40 kilometers per hour

5 0
3 years ago
Is the given value a solution of the inequality?<br> z + 2&gt; -4; z+ -8
frutty [35]

.

Step-by-step explanation:

4 0
3 years ago
Joshua invested $750 in an account paying an interest rate of
Maslowich
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
5 0
2 years ago
In a factory there are 100100 units of a certain product, 55 of which are defective. We pick three units from the 100 units at r
Nadya [2.5K]

Answer:

There is a 33.67% probability that exactly one of them is defective.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.

Combinations formula:

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)!}

Desired outcomes

One defective(one from a set of 55) and two non defective(two from a set of 45). So

D = C_{55,1}*C_{45,2} = \frac{55!}{54!1}*\frac{45!}{43!2!} = 55*45*22 = 54450

Total outcomes

Three from a set of 100. So

T = C_{100,3} = \frac{100!}{97!3!} = 161700

What is the probability that exactly one of them is defective

P = \frac{D}{T} = \frac{54450}{161700} = 0.3367

There is a 33.67% probability that exactly one of them is defective.

4 0
3 years ago
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