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3 years ago

Is rolling a 3 standard doe and then rolling a sum greater than 4 when counting the next roll an independent event?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

5 0

Answer:

False

Step-by-step explanation:

In this question, you roll 3 from the standard die and then add it with the next roll to see if the sums are greater than 4.

From this explanation you can see that you use the result from your first roll for the second event, so we can conclude that the event is dependent.

Imagine if we change the result of the first roll into 5, without adding the second roll we can know that the sum will be greater than 4. The first event result will influence the second event, so it is a dependent event.

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What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1?

o-na [289]

Answer: 4

There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.

Long Division:

3x + 7

2x - 1 ) 6x² + 11x - 3

- (6x² - 3x) ↓

14x - 3

- (14x - 7)

Synthetic Division:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

$\frac{1}{2}$ | 6 11 -3

| ↓ 3 7

6 14 4

Remainder Theorem:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

f(x) = 6x² + 11x - 3

f( $\frac{1}{2}$ ) = 6( $\frac{1}{2}$ )² + 11( $\frac{1}{2}$ ) - 3

= 6( $\frac{1}{4}$ ) + $\frac{11}{2}$ - 3

= $\frac{3}{2}$ + $\frac{11}{2}$ - $\frac{6}{2}$

= $\frac{8}{2}$

= 4

3 0

3 years ago

Read 2 more answers

estimate 0.037854921 to the nearest hundredth express your answer as a single digit times a power of 10

Vilka [71]

To solve this problem you must apply the proccedure shown below:

1. Let's round the value to the nearest hundredth. As you can see, the digit 8 is in the thousandths place and is greater than 5, therefore, you must round up to 0.038.

2. Now express the value as a single digit times a power of 10, as following:

$38$ x $10^{-3}$

Therefore, the answer is: $38$ x $10^{-3}$

6 0

2 years ago

Read 2 more answers

A rectangle length is 8cm more than three times it’s widith. The perimeter is 128 cm find the length.

Masteriza [31]

Let x = width
length is 8 cm more than three times it’s width so length = 3x + 8

Perimeter of a rectangle = 2(L + W)
so
128 = 2(x + 3x + 8) solve for x (width)
128 = 2(4x + 8)
64 = 4x + 8
4x = 56
x = 14
width = 14 cm
length = 3(14) + 8 = 50 cm

Answer:
width = 14 cm
length = 50 cm

4 0

3 years ago

In order for the parallelogram to be a rhombus x=

Eva8 [605]

Answer:

Step-by-step explanation:

Properties used:-

All sides of rhombus are equal therefore in the triangles

EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL

then we use alternate interior angles

Then we get,

3x-11=x+23

2x=34

x=17

4 0

2 years ago

What is the answer to this equation? Must solve for x. x+5=12x−4

natulia [17]

Answer:

x = 9/11

Step-by-step explanation:

x + 5 = 12x - 4

Subtract x from both sides

x + 5 - x = 12x - x - 4

5 = 11x - 4

Add 4 to both sides

5+ 4 = 11x - 4 + 4

9 = 11x

Divide both sides by 11

9/11 = 11x/11

9/11 = x

x = 9/11

8 0

3 years ago

Read 2 more answers