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3 years ago

Is this a valid conclusion? A. B. C. D.

Mathematics

2 answers:

Fofino [41]3 years ago

8 0

Answer: a.

Step-by-step explanation:

qaws [65]3 years ago

5 0

Answer:

goodbye is a great conclusion

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4. Let g be the function that satisfies g(0)=0

ki77a [65]

We have that for the Question "Find expressions for g(x) and g′′(x)." it can be said that expressions for g(x) and g′′(x) is

a) $g(x) = (-x^2,x$

b) $g''(x)= (-2,x$

From the question we are told

Let g be the function that satisfies g(0)=0 and whose <em>derivative </em>satisfies g′(x)=2|x|.

<h3>The Expressions for g(x)</h3>

Generally the equation for the g'(x) is mathematically given as

$g'(x) = (-2x,x$

Since

$g(x=\int{g'(x)})$

$g(x)=g'(x) = (-x^2,x$

Therefore

$g''(x)= (-2,x$

For more information on Expressions visit

brainly.com/question/19007362

4 0

3 years ago

63% of US adults opposed to taxes on junk food and soda. You randomly select 10 US adults. Find the probability that the number

WARRIOR [948]

Answer:

a) 0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.

b) 0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.

c) 0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are opposed to taxes on junk food and soda, or they are not. Each adult is independent of other adults, which means that the binomial probability distribution is used to solve the 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.

63% of US adults opposed to taxes on junk food and soda.

This means that $p = 0.63$

You randomly select 10 US adults.

This means that $n = 10$

(a) exactly one

This is $P(X = 1)$ . So

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

$P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008$

0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.

(b) at least four

This is

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{10,0}.(0.63)^{0}.(0.37)^{10} \approx 0$

$P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008$

$P(X = 2) = C_{10,2}.(0.63)^{2}.(0.37)^{8} = 0.0063$

$P(X = 3) = C_{10,3}.(0.63)^{3}.(0.37)^{7} = 0.0285$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0008 + 0.0063 + 0.0285 = 0.0356$

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0356 = 0.9644$

0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.

(c) less than eight

This is

$P(X < 8) = 1 - P(X \geq 8)$

In which

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

In which

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

$P(X = 8) = C_{10,8}.(0.63)^{8}.(0.37)^{2} = 0.1529$

$P(X = 9) = C_{10,1}.(0.63)^{9}.(0.37)^{1} = 0.0578$

$P(X = 10) = C_{10,2}.(0.63)^{10}.(0.37)^{0} = 0.0098$

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1529 + 0.0578 + 0.0098 = 0.2205$

$P(X < 8) = 1 - P(X \geq 8) = 1 - 0.2205 = 0.7795$

0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.

5 0

3 years ago

Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping

seropon [69]

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that $A(0) = 109$

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that $r = 0.03$

$A(t) = A(0)(1-r)^t$

$A(t) = 109(1-0.03)^t$

$A(t) = 109(0.97)^t$

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

$A(4) = 109(0.97)^4 = 96.49$

Rounding to the nearest whole number, 96 people.

6 0

3 years ago

The list shows all of the combinations of cutlery at a dinner table. A total of four pieces consisting of forks and spoons are l

sweet-ann [11.9K]

6/16 which is .375, round that to the nearest hundredth and you get .38

6 0

3 years ago

Use the following function to find r(0) r(x)=-x+1

e-lub [12.9K]

Answer:

If r(x) = -x+1

then,

r(0) = -(0) + 1

3 0

3 years ago