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1 year ago

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Mathematics

1 answer:

docker41 [41]1 year ago

5 0

Answer:

For all values of x,

f(x)=2x-3

and

a) Find fg(x).

Simplify and give your answer in the form ax² + b

b) Find gf(x).

Simplify and give your answer in the form ax² + bx + c

g(x) = x² + 1

Step-by-step explanation:

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According to a recent survey, the probability that the driver in a fatal vehicle accident is female (event F) is 0.2805. The p

Aleks [24]

Question d:

(D) Find the probability of F'nA'

Answer:

0.4140

0.7619

0.2381

0.9576

Step-by-step explanation:

Given that :

Female in fatal accident P(F) = 0.2805

Driver is 24 years or less P(A) = 0.1759

Driver is female and 24 years or less P(FnA) = 0.0424

A.) Find the probability of FUA.

P(FUA) = P(F) + P(A) - P(FnA)

= 0.2805 + 0.1759 - 0.0424

= 0.4140

(b) Find the probability of F'UA.

P(F'UA) = 1 - P(F) + P(FnA)

= 1 - 0.2805 + 0.0424

= 0.7619

C.) P(FnA') = 1 - P(F'UA)

= 1 - 0.7619

= 0.2381

(d) Find the probability of F'nA'

P(F'nA') = (FnA)' = 1 - (FnA)

= 1 - 0.0424

= 0.9576

4 0

2 years ago

Need help please !!!

ehidna [41]

Using SOH CAH TOA

Sin =opposite/hypotenuse

that means opposite=2

Hypotenuse=3

Cos=Adjacent/Hypotenuse

Using Pythagorean theorem

Hyp^2=Opp^2 +Adj^2

3^2 =2^2+adj^2

9=4+adj^2

9-4=adj^2

5=adj^2

Taking the square root of both sides

√5=adj

:: cos=√5/3

5 0

3 years ago

Can someone please help me with this, btw don’t mind the white-out

inysia [295]

Answer:

x< 10

Step-by-step explanation:

To start the absolute difference between 20 and 5 is 15. Next, write out an equation for the problem:

x * 1.5 < 15,

Then divide by 1.5 on both sides...

Boom! x < 10.

7 0

2 years ago

in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation

Akimi4 [234]

Answer:

$f(x) = 63000(0.97)^x$

Step-by-step explanation:

Given

$f(0) = 63000$ ---x = 0, in 2012

$f(5) = 54100$ -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

$f(x) = ab^x$

Where

$b = rate$

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

$f(x) = 63000(0.97)^x$

Set x = 0

$f(0) = 63000(0.97)^0 = 63000*1=63000\\$

Set x = 5

$f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100$

This is true because the calculated values of f(0) and f(5) correspond to the given values

For option (d), we have:

$f(x) = 52477(0.97)^x$

Set x = 0

$f(0) = 52477(0.97)^0 - 52477* 1 = 52477$

This is false because the calculated value of f(0) does not correspond to the given value

For option (e), we have:

$f(x) = 63000(0.97)^\frac{1}{5x}$

Set x = 0

$f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =$ undefined

This is false because the f(x) is not undefined at x = 0

For option (f), we have:

$f(x) = 52477(0.97)^{5x$

Set x = 0

$f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477$

This is false because the calculated value of f(0) does not correspond to the given value

From the computations above, only (c) $f(x) = 63000(0.97)^x$ is true

4 0

2 years ago

Rewrite the expression with rational exponents as a radical expression

Ann [662]

Answer:

$5\sqrt[4]{x}$ or the fourth answer

Step-by-step explanation:

Apply the rule $x^{\frac{m}{n}}=\sqrt[n]{x^m}$ to rewrite the exponentiation as a radical.

$5\sqrt[4]{x^1}$

Anything raised to 1 is the base itself.

Answer = $5\sqrt[4]{x}$

Plz mark me brainliest, hope this helps.

8 0

3 years ago