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3 years ago

Consider the function f(x)=−2/3x+5 . What is f(12) ? Enter your answer, as a simplified fraction, in the box.

Mathematics

2 answers:

Gwar [14]3 years ago

5 0

$f(x)=-\frac{2}{3}x+5$

f(12) this means that x is 12, so you can plug in 12 for "x" in the function:

$f(x)=-\frac{2}{3}x+5$

$f(12)=-\frac{2}{3}(12)+5$

$f(12)=-\frac{24}{3} +5$

f(12) = -8 + 5

f(12) = -3

Your answer is -3

sladkih [1.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

f(12)=-2/3(12)+5

f(12)=-8+5

f(12)=-3

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3 years ago

In the diagram b||c find the value of y. 74 (2y+34)

IRINA_888 [86]

Answer:

y = 36

Step-by-step explanation:

The two angles are supplementary since they are same side exterior angles

74 + (2y+34) = 180

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3 years ago

If (9,33) is an ordered pair of the inverse of F(x), which of the following is an ordered pair of the function F(x) ?

Artyom0805 [142]

If (9,33) is an ordered pair of the inverse of F(x), [or F⁻¹(x)], then
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4 years ago

The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu

Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that $p = 0.7$

20 adults

This means that $n = 20$

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144$

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0

3 years ago

Using the law of sines, find the solutions for the missing inputs.

SashulF [63]

$\frac{a}{ \sin(a) } = \frac{b}{ \sin(b) }$
$\frac{12}{ \sin(38) } = \frac{b}{ \sin(85) }$
$\frac{12}{ \sin(38) } = \frac{a}{ \sin(57) }$
$180 - (85 + 38) = 57$
$\frac{12}{ \sin(38) } = \frac{b}{ \sin(85) }$
$\sin(85) \times \frac{12}{ \sin(38) } = b$
$\sin(57) \times \frac{12}{ \sin(38) } = a$
sorry for the order of steps

5 0

3 years ago