MATHEMATICS HIGH SCHOOL

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minutes. What is the probability that a conversation lasts longer than 3 minutes?0.043351
0.063748
0.02275
0.095424

Answers

Answer 1
Answer: Let x be a random variable representing the length of a text messaging conversation, then
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
Answer 2
Answer:

The probability that a conversation lasts longer than 3 minutes is 0.02275.

How to Calculate the Probability

Given:

  • Mean= 2 minutes
  • Standard deviation= 0.5 minutes

We would use x to denote the random variable.

Next to find the probability that a conversation lasts longer than 3 minutes is:

P(x > 3) = 1 - P(x < 3)

1 - P(z < (3 - 2)/0.5)

= 1 - P(z < 2)

= 1 - 0.97725

= 0.02275

Read more about probability here:

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What times what equals 96

Answers

The requried 96 can be expressed as the product of two numbers in five different ways,

96 = 2 x 48

96 = 3 x 32

96 = 4 x 24

96 = 6 x 16

96 = 8 x 12

What is the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
To find two numbers that multiply to 96, we can factorize 96 into its prime factors:

96 = 2 x 2 x 2 x 2 x 2 x 3

Now we can group these factors into pairs, where each pair multiplies to 96,

2 x 48 = 96

3 x 32 = 96

4 x 24 = 96

6 x 16 = 96

8 x 12 = 96

Learn more about Factors here:
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Factors of 96: 1,2,3,4,6,8,12,16,24,32,48,96

So 48 x 2 = 96

Round 4745 to the nearest thousand

Answers

Answer:

5000

Step-by-step explanation:

4745 is closer to 5000 than 4000 because it's over 4500

Tiff's Treats two-thirds of a glass of juice which fraction is equivalent to 2/3

Answers

2/3 is equal to 4/6 because if you have the numerater and denominator both multiply 2 it would be equal.
2×2           4
____  = ____
3×2           6

Eight less than a number doubled is twenty more than the number. What is the number?

Answers

Let the number be a ....=>Number doubled : 2a ..=>Eight less than the no. Doubled : 2a - 8=>Eight less than the no. doubled is 20 more than the no. : 2a - 8 = 20 + a=>2a - 8 - 20 - a = 0=>2a -a - 20 -8 = 0=>a -28 = 0=>a = 28=>so the number is 28...Hope it helps!!!

What is 1,000,000 written as a power of ten?

Answers

1,000,000 is written as 10^6. Other wise it would be too low or too high.

The perimeter of the scalene triangle is 54.6 cm.Which equation can be used to find the value of b if side a measures 8.7 cm?

8.7 + b = 54.6
17.4 + b = 54.6
26.1 + b = 54.6
34.8 + b = 54.6

Answers

the correct question is
The perimeter of the scalene triangle is 54.6 cm.
Which equation can be used to find the value of b if side a measure 8.7 cm and side c measure 26.1 cm?

we know that
the perimeter of a triangle is equal to

P=a+b+c \n P=54.6 cm equation 1

P=a+b+c \n P=8.7+26.1+b equation 2

equate equation 1 and equation 2
54.6=(8.7+26.1)+b \n 54.6=34.8+b

therefore

the answer is the option D
34.8 + b = 54.6

Answer:The correct answer is :

34.8 + b = 54.6

Step-by-step explanation:

The perimeter of the scalene triangle =  Sum of length of all sides

Given that perimeter of the scalene triangle = 54.6 cm

a = 8.7 cm , c = 26.1 cm

a + b + c= 54.6 cm

8.7 cm + b + 26.1 cm= 54.6 cm

34.8 cm+b = 54.6 cm

From the given options the correct answer is:

34.8 cm+b = 54.6 cm
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