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Slav-nsk [51]
1 year ago
6

You roll a number cube. What is the probability that you roll an even number or a number less than 5?

Mathematics
1 answer:
NISA [10]1 year ago
7 0
Let’s first see the probability of landing an even number. We have 6 sides, and 3 are labeled with an even number. So our chances of rolling a number cube are 3/6 (or 1/2 when simplified).

Next, the probability of rolling a number less then five is 4/6 (or 2/3 simplified), since we have 4 sides labeled with a number less than 5.

To compute two or more probabilities, we multiply them. In this case, the fractions already share the same denominator, 6 (because it’s a cube with 6 sides). So we get:

3/6 * 4/6

We then square 6, which is 36, and multiply 3 by 4, which is 12. This gives us 12/36, which is 1/3 in simplified form.

So there’s out answer: 1/3.
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What is the solution to this equation pls pls pls<br><br> x(at the power of 2) = 6 + 9x
kati45 [8]

Answer:

The solution to the equation are x = 5.089  and    x = -0.589

Step-by-step explanation:

Given:

x(at the power of 2) = 6 + 9x

To Find:

The solution of the equation = ?

Solution:

The given equation can be written as  

=> 2x^2 = 6+9x

=>2x^2-6 -9x=0

=>2x^2-9x-6=0

Using the quadratic formula,

x = \frac{-b\pm \sqrt{(b^2 -4ac}}{2a}

where

a= 2

b = -9

c = -6

Substituting these values,

x = \frac{-(-9)\pm \sqrt{(-9)^2 -4(2)(-6)}}{2(2)}

x = \frac{-(-9)\pm \sqrt{(81) -4(-12)}}{2(2)}

x = \frac{-(-9)\pm \sqrt{81+48}}{4}

x = \frac{-(-9)\pm \sqrt{129}}{4}

x = \frac{-(-9)\pm 11.357}{4}

x = \frac{9 \pm 11.357}{4}

x = \frac{9 + 11.357}{4}                        x = \frac{9 - 11.357}{4}

x = \frac{20.357}{4}                            x = \frac{-2.357}{4}  

x =5.089                                                           x =   -0.589

6 0
2 years ago
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
dezoksy [38]

Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57                          11) 1117        21) 2177       31) 3237

2) 57 + 106= 163      12) 1223      22) 2283    32) 3343

3) 269                      13) 1329      23) 2389     33) 3449

4) 375                       14) 1435      24) 2495     34) 3555

5) 481                        15) 1541       25) 2601     35) 3661

6) 587                       16) 1647      26) 2707     36) 3767

7) 693                       17) 1753       27) 2813      37) 3873

8) 799                       18) 1859       28) 2919     38) 3979

9) 905                       19) 1965       29) 3025    39) 4085

10) 1011                      20) 2071       30) 3131      40) 4191

I hope it helps!

3 0
3 years ago
HELP! Will give branliest!!
nirvana33 [79]

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

3 0
3 years ago
What is the sum of 85 and 34?
snow_tiger [21]
The total sum is 119
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AnnyKZ [126]
Y=1
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2 years ago
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