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serg [7]
2 years ago
12

As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple

puzzles while listening to soothing music. Twenty-three (23) out of 56 employees solved the puzzles in less than 7 minutes. Suppose an employee in the study is selected randomly. Calculate the probability that they take longer than 7 minutes to solve the puzzles.
Mathematics
1 answer:
zhenek [66]2 years ago
4 0

Answer:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

P(A)=\frac{Possible outcomes}{Total outcomes}

For this case if we replace we got:

P(A) =\frac{23}{56}=0.411

And using the complemnt rule we got:

0.411 +P(A')=1

And solving for P(A') we got:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

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Scrat [10]

Answer:

y = 2x - 4

Step-by-step explanation:

Rearrange the given equation to slope-intercept form.

x + 2y = 2

2y = -x + 2

y = -1/2x + 1

The slope of the given line is -1/2.  The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.

-1/2 = 2

Find the equation of the new line with the point-slope form using the new slope and given point.

y - y₁ = m(x - x₁)

y - 6 = 2(x - 5)

y - 6 = 2x - 10

y = 2x - 4

The equation will be y = 2x - 4.

7 0
3 years ago
Read 2 more answers
What two numbers add to 8 and multiply to 28
anygoal [31]
Find numbers that multiply to 28 and add them to see if they add to 8
28=
1 and 28=29 not 8
2 and 14=16 not 8
4 and 7=11 not 8
that's it'
no 2 numbers
we must use quadratic formula

x+y=8
xy=28

x+y=8
subtract x fromb oths ides
y=8-x
subsitute
x(8-x)=28
distribute
8x-x^2=28
add x^2 to both sides
8x=28+x^2
subtract 8x
x^2-8x+28=0

if you have
ax^2+bx+c=0 then x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
so if we have
1x^2-8+28=0 then
a=1
b=-8
c=28

x=\frac{-(-8)+/- \sqrt{(-8)^{2}-4(1)(28)} }{2(1)}
x=\frac{8+/- \sqrt{-48} }{2}
x=\frac{8+/- 4 \sqrt{-3} }{2}
x=4+/- 2 \sqrt{-3}
x=4+/- 2i \sqrt{3}
there are no real numbers that satisfy this
5 0
3 years ago
What is 4.338 as a fraction when the 338 is repeating<br>i give brianliest
Inga [223]

If <em>x</em> = 4.338338338…, then

1000<em>x</em> = 4338.338338338…

and subtracting <em>x</em> from this eliminate the trailing decimal.

1000<em>x</em> - <em>x</em> = 4338.338338338… - 4.338338338…

999<em>x</em> = 4334

<em>x</em> = 4334/999

6 0
2 years ago
Help please! thank you.
grin007 [14]

Answer:

since the bases (X) are the same only the exponents will be subtracted and b is greater than a to get a negative exponent

Step-by-step explanation:

5 0
3 years ago
F(x) = x? – x3<br> Select the value of f(-2)<br> 4<br> -12<br> 12<br> A<br> B<br> C D
Talja [164]

Step-by-step explanation:

f(x) = x² - x³

f(-2) = (-2)² - (-2)³

= 4 - (-8)

= 4 + 8 = 12

3 0
2 years ago
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