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3 years ago

What is the minimum and maximum of f(x)=-10x^3+6x-2

Mathematics

1 answer:

const2013 [10]3 years ago

5 0

Answer:

Minimum: $(\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})$

Maximum: $(-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )$

Step-by-step explanation:

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laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago

In a survey, 200 people were polled about whether they preferred spending their free time playing sports, watching a movie, or r

Rama09 [41]

A) 25% of males preferred playing sports.

Explanation) .25 is the same is 25%.

B) 25% of the people surveyed preferred reading a book.

Explanation) You have to add up how many males and females rather
to read a book. It's .10 + .15 = 25%.

C) 70 females were surveyed out of 200 people.

Explanation) Add up .15 + .5 + .15 to get .35. Put .35 multiplied by 200 to get 70.

8 0

3 years ago

5 times 7/8 then converted to simplest form?

pantera1 [17]

5*7/8 = 4 3/8
5/1 * 7/8 = 35/8
convert into mixed number because numerator is bigger than the denominator so it it
4 3/8

7 0

3 years ago

Kristin is 20 km behind a truck that is driving 90 km/h how long will it take her to catch up to the truck? how far will she go

malfutka [58]

Time taken for Kristin to catch up with the truck will be found using the formula
time=(distance)/(speed)
distance=20 km
speed=90 km/h
thus
time=20/90=2/9 hours

Answer: 2/9 hours

5 0

3 years ago

PLEASE ANSWER AS FAST AS YOU CAN !Which of the following choices must be true in order for ΔABC ≅ ΔEDC by the AAS congruency the

Goryan [66]

Answer:

A = E and B = D

Step-by-step explanation:

AAS means triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. In this, A corresponds to E and B to D. BC and CD are congruent. Therefore the triangles are congruent

6 0

3 years ago