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3 years ago

Please help I will give brainliest!

Mathematics

1 answer:

mina [271]3 years ago

7 0

Answer:

Step-by-step explanation:

Let's look at the first option in this multiple-choice; 18. 18 is divisible by 18, but is not divisible by 35, so that answer isn't right.

What about 3? 3 is divisible by 18, but it isn't divisible by 35. Let's move on.

7 is divisible by 35, but it isn't divisible by 18.

1 is universally divisible by anything. That doesn't mean it is the greatest common factor, but in this case it is, because none of the other options are a factor of both numbers given. Therefore, 1 is divisible by 18.

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businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message

KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let X = number of text messages receive or send in an hour.

The random variable X follows a Poisson distribution with parameter λ.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: $\lambda=\frac{62.7}{24}= 2.6125$ .

The probability of a random variable can be computed using the formula:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...$

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

$P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180$

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

$=1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667$

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0

2 years ago

The Diagram shows the net of a square pyramid and its dimensions

Serjik [45]

Answer:

Explanation:

SA = the area of one side of the pyramid times 4 + the area of the base of the pyramid

Area of a triangle = (height × base)/2

Area of a sqaure = lenght²

given:

h = 4 ft | b = 6 ft | l = 6 ft

SA = 4(h×b×1/2) + l²

SA = 4(4×6×1/2) + 6²

SA = 4×12 + 36

SA = 48 + 36

SA = 84 ft²

3 0

2 years ago

Betty Learned how to play a total of 14 songs over the course of 7 weeks of piano lessons.In all, how many weeks of piano lesson

galina1969 [7]

Answer:

18 weeks

Step-by-step explanation:

14 songs / 7 weeks

2 songs per week

36 songs * 1 week/ 2 songs

36 /2 weeks

18 weeks

5 0

2 years ago

10/b10=6/b-2 solve for b pls

Andrews [41]

The answer is b= -2/5

8 0

2 years ago

A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 ho

Blababa [14]

Answer:

y-32=3(x-5)

Step-by-step explanation:

The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:

The rate of change, Slope, m=3 inches per hour

If the depth of the water after 5 hours is 32 inches.

The depth is the dependent variable(as its values varies with time) while the time is the independent variable, we can write this as a pair (x,y)=(5, 32).

The point slope form of the equation of a line is of the form: $y-y_1=m(x-x_1)\\(x_1,y_1)=(5,32), m=3\\$Substituting these values, we obtain:\\y-32=3(x-5)\\This is the equation of the function in point slope form.$

4 0

3 years ago