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2 years ago

A number cube is rolled twice . What is the probability of getting a 6 on the first roll

Mathematics

1 answer:

Taya2010 [7]2 years ago

8 0

Answer:

1/6 or 0.1666666667%

Step-by-step explanation:

The probability of getting a 6 would be 1/6. There are 5 other sides the die could land on.

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Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

$f''(x) = 20 {x}^{3} - 6x$

$f''( - \frac{ \sqrt{15} }{5} ) \: < \: 0$

Hence

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} + 750))$

is a maximum point.

$f''( \frac{ \sqrt{15} }{5} ) \: > \: 0$

Hence

$( \frac{ \sqrt{15} }{5} , \frac{1}{125} (- 6 \sqrt{15} + 750))$

is a minimum point.

$f''(0) \: =\: 0$

Hence (0,-6) is a point of inflexion

4 0

2 years ago

You randomly choose one of the tiles. Without replacing the first tile. What is the event of the compound event? Write your answ

Luden [163]

Answer:

87777777777777777777777777

Step-by-step explanation:

7 0

3 years ago

I will mark you brainliest and give 50 points if u help and pls I want the answer to both a and b if u give random answers witho

shusha [124]

Answer:

5a. 4w+24≤100

5b. Dimensions=31ft x 19 ft

Area = 589ft²

Step-by-step explanation:

l=w+12

p=2l+2w

p=2(w+12)+2w

p=2w+24+2w

p=4w+24

The farmer has 100ft of fencing, so maximum that the perimeter (p) can be is 100, meaning (4w+24) has to be less than or equal to 100:

4w+24≤100

For the largest possible perimeter, all 100 of fencing will be used, so allow 100 to be equal to 4w+24)

100=4w+24

4w=76

w=19ft

l=w+12

l=19+12

l=31ft

The dimensions are 31ft x 19ft.

Area=lw

=31*19

=589ft²

4 0

2 years ago

Read 2 more answers

Please help me !! find the missing side and round to the nearest tenth !!

MrRa [10]

The answer is 22.8
Cos 64 = adj./hypotenuse
Cos64=10/x
X(cos64)=10
X= 10/cos64
= 22.8

5 0

2 years ago

Read 2 more answers

Question 1 options: 13.5 12 13 11

ki77a [65]

Answer: 13

nothing in between 13

Down below

4 0

2 years ago