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3 years ago

Rewrite 85% as a fraction in simplest form and as a decimal

Mathematics

1 answer:

nignag [31]3 years ago

3 0

85 %

85/100 - divide by 5 for the numerator and denominator

85/5= 17

100/5=20

Simplest form : 17/20

As decimal : 0.85 because of 85/100

Answer:

Simplest form : 17/20

As decimal : 0.85

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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

xxMikexx [17]

Answer:

0.3009 is the probability that the applicant has graduate degree given he is a male.

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

$n(M) = 206$

Number of applicants that are male and have a graduate degree = 62

$n(M\cap G) = 62$

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(M) = \dfrac{206}{450} = 0.4578$

$P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378$

We have to find the probability that the applicant has graduate degree given he is a male.

$P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009$

Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.

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3 years ago

Solve proportion, if necessary round to nearest hundredth.

polet [3.4K]

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In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiti

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Step-by-step explanation:

Simple:

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A rock is tossed upward. Its height after t seconds is given by S = −16t2 + 24t + 3 feet. What is its maximum height? When does

Mama L [17]

Answer:

Step-by-step explanation:

The height of the rock ,(s), in feets after t seconds is given by the function

S = −16t^2 + 24t + 3

The given function is a quadratic equation. If values of height attained is plotted against time, the shape of the graph will be a parabola whose vertex would correspond to the maximum height obtained by the object.

Vertex of the parabola = -b/2a

a = - 16

b = 24

Vertex = - 24/- 16×2 = 24/32

Vertex = 0.75

So the maximum height is 0.75 feet

To determine the time at which it will reach a maximum height of 0.75, we will substitute s = 0.75 into the equation.

S = −16t^2 + 24t + 3

0.75 = −16t^2 + 24t + 3

−16t^2 + 24t + 2.25 = 0

Applying the general formula for quadratic equation,

t = b ± √b^2 - (4ac)]/2a

a = -16

b = 24

c = 2.25

t = - 24 ± √24^2 - 4(-16 × 2.25)]/2×-16

t = - 24 ± √(576 + 144)]/-32

t = - 24 ± √(720)/-32

t = (- 24 ± 26.83)/-32

t = 2.83/-32 or t = -50.83 /-32

t = - 0.088 or t = 1.588

The time cannot be negative so,

The time take to reach maximum height is 1.588 seconds

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3 years ago