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nikklg [1K]
3 years ago
15

The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

that the times are normally distributed. What is the probability someone will spend no more than 30 minutes reading online national news reports
Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of  time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(no more than 30 minutes)

P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)

Calculation the value from standard normal z table, we have,  

P(x \leq 30) = 0.118 = 11.8\%

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

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At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilom
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Answer:

Eli has to run for 2.25 minutes at this pace to win the bet.

Step-by-step explanation:

At his last track meet, Eli ran the 400-meter dash in 54 seconds.

So, the speed of Eli's run is \frac{400}{54} \times 60 = 444.44 meters per minute.

Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within \frac{1000}{444.44} = 2.25 minutes.

Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)

6 0
3 years ago
Which statement describes why AABC and ADEF are congruent by SAS?
Amanda [17]

Answer:It is The first one.

Step-by-step explanation:

8 0
2 years ago
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area? square units
Tasya [4]

Answer:

28 units²  

Step-by-step explanation:

Assume that your net has the dimensions shown below.

Its area is

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2 grey rectangles    =  2(4 × 1) = 2 × 4  =  8 units²

2 green rectangles  = 2(2 × 1)  = 2 × 2  = <u> 4 units²</u>

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5 0
3 years ago
Read 2 more answers
What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?
mr_godi [17]
There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

_____________________________________________________________

Method 2
--------------------------------------------------
Identify the triangle
--------------------------------------------------
This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles 
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x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

6 0
3 years ago
1.An ice cream cone has a radius of 3 inches and a height of 5 inches. Which measurement is the closest to the volume in cubic i
Murljashka [212]
First question
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Second qustion
Violume = height * radius * radius * 3.14
28*8*8*3.14= 5626.88 cm3
So the answer is 1875.63 because it's the closest
4 0
3 years ago
Read 2 more answers
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