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Effectus [21]
2 years ago
6

The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of 0.7 m

inutes. What is the probability that a conversation lasts longer than 6 minutes? 0.045 0.077 0.955 0.922
Mathematics
2 answers:
zloy xaker [14]2 years ago
8 0
The probability of the message lasting longer than six minutes is 0.955. I hope this helps!
krek1111 [17]2 years ago
4 0

Answer:

0.077

Step-by-step explanation:

Data:

u = 5

σ = 0.7

x = 6

Calculation:

P(X>x)=P(z>\frac{x - u}{devst})

P(X>6)=P(z>\frac{6-5}{0.7})

P(X>6)=P(z>\frac{1}{0.7})

P (X> 6) = P [z> 1.43]

To find z> 1.43 in the normal distribution graph, we must subtract from the total probability (which is 1) the value of z <1.43 (note that the sign of inequality has been changed). So, we have

P (X> 6) = 1 - P [z <1.43]

We look in the normal distribution table for the z-score of 1.43, and get 0.92364. So,

P(X>6) = 1 - 0.92364

P(X>6) = 0.076564

P(X>6) = 0.077 (Rounded)

Hope this helps!

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A TV that usually sells for $178.09 is on sale for 30% off. If sales tax on the TV is 5%, what is the price of the TV, including
marusya05 [52]
178.09 \times \frac{70}{100}\times \frac{105}{100} = \frac{178.09 \times 70 \times 105}{100\times 100} = \frac{1308961.5}{10000} = 130.89615 \approx \boxed{130.90}

Your answer is $130.90

Note: We multiply by 70/100 because of the 30% discount. 100 - 30 = 70. So we have to multiply by 70%.

Also, we multiply by 105/100 because there is 5% tax. The tax means that we have to pay more which means 100 + 5 = 105.

Hope this helped :D
8 0
3 years ago
Read 2 more answers
How much less than 3x2−7x+9 is 2x2+4x−8? What is the value of the result when x=2?
DIA [1.3K]
3x^2 - 7x + 9 - (2x^2 + 4x - 8).....distribute the - thru the parenthesis
3x^2 - 7x + 9 - 2x^2 - 4x + 8....combine like terms
x^2 - 11x + 17 <== this is how much less it is

x^2 - 11x + 17.....when x = 2
2^2 - 11(2) + 17 =
4 - 22 + 17 =
21 - 22 =
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6 0
3 years ago
Help me out!!What is the area of the polygon in square units?
yuradex [85]

Answer:

  • D) 80 square units

Step-by-step explanation:

<em />

<em>It is easy to find the area if we simplify the task.</em>

Split the polygon into trapezoid and triangle by adding imaginary line y = 2 parallel to the x-axis.

Now find the area of each part.

<h3>Trapezoid </h3>

It has parallel bases:

  • 0 - (-8) = 8 units and
  • 4 - (-8) = 12 units

Its height is:

  • 4 - 2 = 2 units

The area is:

  • A = (b₁ + b₂)h/2 = (8 + 12)*2/2 = 20 units²

<h3>Triangle</h3>

It has base:

  • 4 - (-8) = 12 units

Height:

  • 2 - (-8) = 10 units

The area is:

  • A = bh/2 = 12*10/2 = 60 units²

<h3>Total area </h3>

of the polygon is:

  • 20 + 60 = 80 units²

Correct choice is D

4 0
2 years ago
PLZ HELP ASAP :( I need to show work and this is my very last assignmenttt<br> (part 2)
grin007 [14]

Answer:

3. 60°

4. 378.542

Step-by-step explanation:

in the picture

4 0
3 years ago
I need help asap. rn ​
tiny-mole [99]

Answer:

4

Step-by-step explanation:

For this, you need to find the scale factor of two sides that are already given to you.

So, we will have to use the hypotenuse and one of the legs to make sure there is an accurate scale factor.

Hypotenuse:

15 / 5 = 3

Leg:

6 / 2 = 3

____________

So the scale factor is 3.

Using the leg (with the x) we need to divide 12 by the scale factor (3) to give us what x is equal to.

12 / 3 = 4

So, the answer is 4.

7 0
2 years ago
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