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Paraphin [41]
2 years ago
11

A number sentence is said to be true if both numerical expressions are

Mathematics
1 answer:
Igoryamba2 years ago
6 0
If both expressions are equivalent (that is when both evaluate to the same number)
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You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the n
mojhsa [17]

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

4 0
2 years ago
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per
ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

Step-by-step explanation:

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 time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that \mu = 2

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

We want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

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

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707

P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707

P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804

P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902

P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176

1.76% probability that in one hour more than 5 clients arrive

8 0
2 years ago
Read 2 more answers
Find the lettered angles in each of the following.
trapecia [35]

Answer:

q = 80 degrees

r = 70 degrees

s = 10 degrees

t = 70 degrees

u = 40 degrees

v = 60 degrees

Step-by-step explanation:

starting with the fact that all angles in any triangle always sum up to 180 degrees :

q = 180 - 60 - 40 = 80 degrees

r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees

the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.

that means the angles must be equal.

v = 60 degrees

u = 40 degrees

similar for 10-r-blank and t-s-blank.

s = 10 degrees

t = 70 degrees

6 0
2 years ago
Read 2 more answers
Mr. Duncan spent 75% of his savings to buy a camera.The camera cost $325.How much did he originally have in his savings
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

he spent 75% of his savings to buy a camera that costs 325....

so 75% of his original savings is 325

let x represent his original savings...." of " means multiply.." is " means equals

75%(x) = 325....turn ur percent into a decimal

0.75x = 325.....divide both sides by 0.75

x = 325 / 0.75

x = 433.33 <=== ur answer

check...

0.75(433.33) = 325

324.99 (rounds to 325) = 325

3 0
3 years ago
Which numbers belong to the solution set of the inequality?
alina1380 [7]

Answer:

B. 2, 4, 5, 7

Step-by-step explanation:

6x<48

Divide by 6 on both sides:

x < 8 (excluding 8)

You can test values greater than 8, and if it yields false, then try different numbers.

Hope this helps!

8 0
2 years ago
Read 2 more answers
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