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3 years ago

Write all your answers as a fraction. 1. 8/3 - 8/5/

Mathematics

1 answer:

allsm [11]3 years ago

5 0

Answer:

16/15

Step-by-step explanation:

Simplify the following:

8/3 - 8/5

Put 8/3 - 8/5 over the common denominator 15. 8/3 - 8/5 = (5×8)/15 + (3 (-8))/15:

(5×8)/15 + (3 (-8))/15

5×8 = 40:

40/15 + (3 (-8))/15

3 (-8) = -24:

40/15 + (-24)/15

40/15 - 24/15 = (40 - 24)/15:

(40 - 24)/15

| 3 | 10

| 4 | 0

- | 2 | 4

| 1 | 6:

Answer: 16/15

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3 years ago

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Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?

JulijaS [17]

Answer:

B) Multiply the divisor and dividend by 100

Step-by-step explanation:

To get rid of both the decimals in the decimal and dividend.

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3 years ago

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Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 9 adult smartphone use

valina [46]

Answer:

0.18173219.

Step-by-step explanation:

We have been asked to find what will be the probability that at least 6 of 9 adults use their smartphones in meetings or classes.

We will find our answer using Bernoulli's trails.

$_{r}^{n}\textrm{c}\cdot p^{r}\cdot (1-p)^{n-r}$

First of all we will find the probabilities when r is 6, 7,8 and 9 then we will add them all.

When r=6,

$_{6}^{9}\textrm{c}\cdot 0.46^{6}\cdot (1-0.46)^{9-6}$

$\frac{9!}{6!3!} *0.46^{6} *0.54^{3}$

$\frac{9*8*7*6!}{6!*3*2*1} *0.009474296896*0.157464$

$84*0.009474296896*0.157464=0.12532$

Similarly we will find Probabilities when r=7, 8 and 9.

When r=7

$_{7}^{9}\textrm{c}\cdot 0.46^{7}\cdot (1-0.46)^{9-7}$

$\frac{9!}{7!2!} *0.46^{7} *0.54^{2}$

$\frac{9*8*7!}{7!*2*1} *0.00435817657216*0.2916$

$36*0.00435817657216*0.2916=0.04575039$

When r=8

$_{8}^{9}\textrm{c}\cdot 0.46^{8}\cdot (1-0.46)^{9-8}$

$\frac{9!}{8!1!} *0.46^{8} *0.54$

$\frac{9*8!}{8!*1!} *0.00200476*0.54$

$9 *0.00200476*0.54=0.0097431336$

When r=9,

$_{9}^{9}\textrm{c}\cdot 0.46^{9}\cdot (1-0.46)^{9-9}$

$\frac{9!}{9!0!} *0.46^{9} *1$

$1 *0.00092219*1=0.00092219$

Now let us add all the probabilities to get the final answer.

$0.12532+0.04575+0.00974+0.00092219=0.18173219$

Therefore, probability that at least 6 of 9 adults use their smartphones in meetings or classes is 0.18173219.

6 0

4 years ago

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How do i solve this inequality? -2|3m|+3<-51

9966 [12]

Answer:

m >9 or m < -9

Step-by-step explanation:

-2|3m|+3<-51

Subtract 3 from each side

-2|3m|+3-3<-51-3

-2|3m|<-54

Divide each side by -2, remembering to flip the inequality

-2|3m|/ -2>-54/-2

|3m|> 27

To get rid of the absolute values, we separate into two inequalities, one as written and one negative, remembering to flip the inequality

3m >27 or 3m <-27

Divide by 3 on each side

3m/3 >27/3 or 3m/3 <-27/3

m >9 or m < -9

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3 years ago

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ZanzabumX [31]

Answer:

Step-by-step explanation:

$\left[\begin{array}{ccc}7&31\\142&19\end{array}\right]$ = 7(19) - 142(31) = - 4269

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3 years ago