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Flauer [41]
3 years ago
12

Please help I will give brainliest!

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

1

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 <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

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]

<u>Answer:</u>

<h2>SA = 84 ft²</h2>

<u>Explanation:</u>

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 <u>depth is the dependent variable(as its values varies with time)</u> while the <u>time is the independent variable</u>, 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
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