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2 years ago

If events A and B are independent, P(A) = 0.62, and P(

Mathematics

1 answer:

professor190 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

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The number of boys if the total height would of the boys is 16.4 meters and their average height is 1.2 meters

galben [10]

Number of boys= 16.4÷ 1.2=13

3 0

2 years ago

(Look at picture above) Find the volume of the cone. Round your answer to the nearest tenth. 9 yd 7 yd The volume of the cone is

nata0808 [166]

Answer:

V = 115.5 cubic yards

Step-by-step explanation:

V (cone) = 1/3πr²h

just substitute given values to get:

r = 7/2 or 3.5

h = 9

V = π(3.5²)(9)/3

V = 115.5 cubic yards

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2 years ago

What is csc ( Reduce fractional answers to lowest terms.

harina [27]

Answer:

cscA = $\frac{5}{4}$

Step-by-step explanation:

Using the identity

csc x = $\frac{1}{sinx}$ , then

sinA = $\frac{opposite}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{8}{10}$ = $\frac{4}{5}$ , thus

cscA = $\frac{1}{\frac{4}{5} }$ = $\frac{5}{4}$

4 0

2 years ago

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

For Carton the dimensions are:

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

1 year ago

Line FG contains points F (3,7) and G (-4,-5) line HI contains points (-1,0) and I (4,6) lines FG and HI are. ?

ludmilkaskok [199]

FG : (3,7)(-4,-5)
slope = (-5 - 7) / (-4-3) = -12/-7 = 12/7

y = mx + b
slope(m) = 12/7
(3,7)...x = 3 and y = 7
now we sub, we r looking for b, the y int
7 = 12/7(3) + b
7 = 36/7 + b
7- 36/7 = b
49/7 - 36/7 = b
13/7 = b
so ur equation is : y = 12/7 + 13/7.....slope = 12/7, y int = 13/7

HI : (-1,0)(4,6)
slope = (6 - 0) / (4 - (-1) = 6/5

no need to go any farther.....these lines have different slopes...and their not negative reciprocals....so there will be one solution. Answer is : neither.

7 0

2 years ago

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