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Slav-nsk [51]
3 years ago
6

The Malthouse Charity Run is a 5 kilometre race. The time taken for each runner to complete the race was recorded. The data was

found to be normally distributed with a mean time
of 28 minutes and a standard deviation of 5 minutes.

A runner who completed the race is chosen at random.

Write down the probability that the runner completed the race in more than 28 minutes.

3b. [2 marks]

Calculate the probability that the runner completed the race in less than 26 minutes.

3c. [3 marks]

It is known that 20% of the runners took more than 28 minutes and less than minutes to complete the race.

Find the value of .
Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

0.5 ; 0.34458

Step-by-step explanation:

Given that:

Mean (m) = 28

Standard deviation, s = 5

To obtain the Zscore :

Z = (x - m) / s

1.) P(x > 28)

Z = (28 - 28) / 5

Z = 0

P(Z > 0) = 0.5 (Z probability calculator)

2.) P(x < 26)

Z = (26 - 28) / 5

Z = - 0.4

P(Z > -0.4) = 0.34458 (Z probability calculator)

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Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) &lt; 0.
azamat

The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

Read more about inequalities here.

brainly.com/question/25275758

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8 0
2 years ago
What is the slope of the line whose equation is y - = 0? slope = slope = - slope = 0
sasho [114]

Answer:

the slope is 0

Step-by-step explanation:

7 0
3 years ago
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
never [62]

Vicki: 10 + 10 + 20 = 40

Johnny: 10 + 10 + 30 = 50

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5 0
3 years ago
Which logarithmic equation is equivalent to the exponential equation below? 70.81 = ea
bixtya [17]
Loge 70.81 = a
Log to the base e is also  written as ln
ln 70.81 = a
4 0
3 years ago
Read 2 more answers
The ratio of the number of left-handed batters to the number of right handed batters is 5:8. There are 45 left-handed batters. f
Anuta_ua [19.1K]
Answer=15:39

Step1(find the number of right handed batters)

Left-handed batters=45

 5    45
__=___
8      x


Cross multiply
5x=360
divide both sides by 5
x=72
Right-handed batters=72

Step 2 (find the number of total batters)
total batters=45+72=117

Step3 (find the ratio of left handed batters to total batters)

Left-handed batters to total batters= 45/117
45/117 can be shortened to 15/39

Answer=15:39

8 0
3 years ago
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