In which number is the digit 7 ten time larger than it is in the number 794

A ball is drawn at random from a box containing 12 red,18

Answer:

For a: The probability of getting a red or blue ball is 0.48

For b: The probability of getting a white, blue or orange ball is 0.81

For c: The probability of getting neither white or orange ball is 0.48

Step-by-step explanation:

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$ .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

For a:

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48$

For b:

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81$

For c:

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52$

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0

2 years ago

By visual inspection, determine the best-fitting regression model for the data plot below.

vichka [17]

Answer:

linear

Step-by-step explanation:

5 0

3 years ago

Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i

jeka94

Let $a,b,c$ be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

$\begin{cases}\dfrac1a+\dfrac1b=\dfrac1{\frac65}=\dfrac56\\\\\dfrac1a+\dfrac1c=\dfrac1{\frac32}=\dfrac23\\\\\dfrac1b+\dfrac1c=\dfrac12\end{cases}$

Now,

$\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16$

Then

$\left(\dfrac1b+\dfrac1c\right)+\left(\dfrac1b-\dfrac1c\right)=\dfrac12+\dfrac16\implies\dfrac2b=\dfrac23\implies b=3$

This means

$\dfrac1a+\dfrac13=\dfrac56\implies\dfrac1a=\dfrac12\implies a=2$

and

$\dfrac13+\dfrac1c=\dfrac12\implies\dfrac1c=\dfrac16\implies c=6$

Working together, all 3 pumps would operate at a rate of

$\dfrac1a+\dfrac1b+\dfrac1c=1$

or 1 tank in 1 hour, so the answer is D.

8 0

2 years ago

PLEASE HELP if Suzy can drive 4/5 miles in a half hour how many miles can she drive in 1 hour FOR A TEST PLEASE ANSWER

kati45 [8]

Since you are trying to figure out how many miles she can drive in 1 hour and you already have half of that hour, all you would need to do is double that number.
$\frac{4}{5}$ × $\frac{2}{1}$ = $\frac{8}{5}$

Now, all you would need to do is simplify the answer.
$\frac{8}{5}$ = 1 $\frac{3}{5}$ or 1.6

The answer would be, Suzy can drive 1 $\frac{3}{5}$ or 1.6 miles in 1 hour.

I hope this helps!

5 0

3 years ago

13 cm L 5 cm Calculate the perimeter

aksik [14]

Answer:

36

Step-by-step explanation:

permeter is solved by doing length+length+width+width so therefore you would do 13+13+5+5 which equals 36 as your answer

5 0

3 years ago

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