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lutik1710 [3]
3 years ago
12

Given the function f(x) = -x^2 +7x + 6, find the interval(s) in which f(x) is decreasing.

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

Step-by-step explanation:

f'(x)=-2x+7

f(x) is decreasing if '(x)<0

so -2x+7<0

or 7<2x

or 2x>7

or x>7/2

including end points f(x) is decreasing in [3/2,∞)

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Investing is a game of chance. Suppose there is a 36% chance that a risky stock investment will end up in a total loss of your i
Sergio039 [100]

Answer: P(x ≥ 1) = 0.893

Step-by-step explanation:

We would assume a binomial distribution for the outcome of the investment. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36% = 36/100 = 0.36

q = 1 - p = 1 - 0.36

q = 0.64

n = 5

Therefore,

P(x ≥ 1) = 1 - P(x = 0)

P(x = 0) = 5C0 × 0.36^0 × 0.64^(5 - 0)

P(x = 0) = 1 × 1 × 0.107

P(x = 0) = 0.107

P(x ≥ 1) = 1 - 0.107 = 0.893

3 0
3 years ago
Pls help thx , I’m behind ;(
sweet-ann [11.9K]
5 is the in its value bc its on the y intercept meaning the starting point
6 0
2 years ago
A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
MATH WILL YOU PLEASE HELP!
lidiya [134]

Answer:

I think it's -6x-18, this queston uses distributive property, so you must multiply each term inside the parenthesis to the number outside the parenthesis.

7 0
2 years ago
The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?
Cerrena [4.2K]

Answer:

The solutions to the equation are x = \frac{1}{5} and x = -4

Step-by-step explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

g(x) = 0

(5x - 1)(x + 4) = 0

So

5x - 1 = 0

5x = 1

x = \frac{1}{5}

And

x + 4 = 0

x = -4

The solutions to the equation are x = \frac{1}{5} and x = -4

7 0
3 years ago
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