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Viktor [21]
3 years ago
13

I need the answer asap

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

(a) 1.353 x 10^9

Step-by-step explanation:

Jumping 9 places back to obtain standard form

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A binomial event has n = 60 trials. The probability of success for each trial is 0.20. Let x be the number of successes of the e
OLga [1]

Answer:

12 and 3.0984

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\mu_{x} = np

The standard deviation of the binomial distribution is:

\sigma_{x} = \sqrt{np(1-p)}

In this problem, we have that:

n = 60, p = 0.2

So

\mu_{x} = np = 60*0.2 = 12

\sigma_{x} = \sqrt{np(1-p)} = \sqrt{60*0.8*0.2} = 3.0984

So the correct answer is:

12 and 3.0984

4 0
3 years ago
Find the area of the figure below, formed from a triangle and a rectangle, in square centimeters.
Kitty [74]

Answer:

44 square cm

Step-by-step explanation:

Total Area = Area of triangle + Area of rectangle

= (1/2 * base * height) + (Length*Width)

= (1/2 × 8 × 6) + ( 10 × 2)

= 24 + 20

= 44 square cm

4 0
2 years ago
What is the gcf of 35, 20,15
fgiga [73]

Answer:

Prime factorisation of the numbers -

\\  \sf \: 35 = 7 \times  \underline5 \\  \\  \sf \: 20 =  \underline5 \times 4 \\  \\  \sf \: 15 = 3 \times  \underline5 \\

As, we can see that the 5 is common in the both three numbers. So,

<u>GCF</u><u>,</u><u> </u> greatest common factor (35, 20, 15) = <u>5</u>

3 0
3 years ago
Read 2 more answers
For every 3 boys there are 5 girls if there are 30 girls how many boys will be there
scoray [572]

Answer:

18 boys

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
how do you put this into an equation. full tank of gas is 525 miles. Only driving round trip to work takes 13 miles a day. how m
MatroZZZ [7]
Watch for units in questions. This will help you set up equations. You can do math with units. That's why area is in units of distance squared, (distance × distance  = distance²) etc.

There is a rate given (units/units) which is 13 miles/day. When you multiply this by days, the days cancel out by division leaving miles. Or if total miles is divided by the rate (flip & multiply for fractions) you get days.

525 mi × (1 day / 13 mi) = days you can drive until fill up
~ 40.4 days

** at the end of 40th day or maybe even beginning of the 41st you will prob need to fill up the gas tank.

The problem wants you to replace these quantities with variables.
y = miles to/from work (13 mi)
x = miles until fill up (525 mi)
d = days you can drive

Then just replace the quantities with the assigned variables...
x/y = d

 


5 0
3 years ago
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