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andrezito [222]
3 years ago
10

Type the correct answer in the box. Write your answer as a reduced fraction, using / for the fraction bar. A six-sided fair die

is rolled 4 times in a row. The probability of getting a 4 only on the last trial is .
Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:   \bold{\dfrac{125}{1296}}

<u>Step-by-step explanation:</u>

The probability of NOT getting a 4 means the probability of getting a 1, 2, 3, 5, or 6 which is 5 out of 6 = \dfrac{5}{6}

The probability of getting a 4 is 1 out of 6 = \dfrac{1}{6}

The probability of getting a 4 only on the last roll is:

NOT 4    and     NOT 4    and    NOT 4   and     Yes 4

    \dfrac{5}{6}           x            \dfrac{5}{6}            x          \dfrac{5}{6}           x           \dfrac{1}{6}      =      \dfrac{5^3}{6^4}= \dfrac{125}{1296}

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yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now,  7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

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3 years ago
PLEASE HELP LOOK AT PICTURE
Vladimir79 [104]
Hello! As e increases, the value of 3 will increase as well, making the answer A! Hope this helped you! :)
8 0
3 years ago
Round 5,890 to the nearest thousand
frutty [35]
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3 0
3 years ago
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hi I was just a little bit of time with my module and I didn't know what is answer of the module now please please be sure of th
GREYUIT [131]

1. 5 x 4 = A. 20

2.

\frac{2}{5}  \times 25 = 2 \times 5 = 10

the answer is D. 25

3.

\frac{3}{5}  \div 15 =  \frac{3}{5}  \times  \frac{1}{15}  =  \frac{1}{5}  \times  \frac{1}{5}  =  \frac{1}{25}

the answer is A. 1/25

4.

4 \div  \frac{1}{2}  = 4 \times  \frac{2}{1}  = 8

the answer is C. 8

5.

9 \div  \frac{1}{3}  = 9 \times  \frac{3}{1}  = 27

the answer is D. 27

6.

20 \div  \frac{1}{4}  = 20 \times  \frac{4}{1}  = 80

the answer is D. 80

7.

\frac{9}{10}  \div  \frac{1}{2}  =  \frac{9}{10}  \times  \frac{2}{1}  =  \frac{18}{10}  =  \frac{9}{5}  = 1 \frac{4}{5}

the answer is C. 1 4/5

8.

9 \div  \frac{3}{2}  = 9 \times  \frac{2}{3}  =  \frac{18}{ 3}  = 6

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9.

\frac{3}{4}  \div  \frac{3}{8}  =  \frac{3}{4}  \times  \frac{8}{3}  = 2

the answer is A. 2

3 0
3 years ago
Are the co ordinates of A 3,4 ?
Lubov Fominskaja [6]

Answer:

A: 2,3

B: -5,1

for ii and iii and b), the easiest way to find the points are by moving on the x-axis(straight across/ horizontal line), then the y-axis(the up to down one). the first point for example (-3,-2), you would move 3 times to the left, and 2 times to the bottom, because if its a negative x, you move left, while if its a positive x, you move right, and if its a negative y, you move down, while a positive y moves you up.

Step-by-step explanation:

I really hope it helps!!!

4 0
2 years ago
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