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2 years ago

OFFERING 50 POINTS

2 answers:

8 0

Option B → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.

: Option B

Galina-37 [17]2 years ago

6 0

Answer:

Option B, The sample space has 12 different outcomes

Step-by-step explanation:

Step 1: Determine which of the following is true

Option A → Heads and an even number are very likely outcomes → This is false, although both of these can occur they don't occur "very likely"

Option B → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.

Option C → The sample space has 8 different outcomes → This is false because it doesn't follow the rules of finding the sample space.

Option D → Each result is equally likely → This is false because a coin flipped can land on heads or tails which is 50% while a number cube is usually between 1-6 meaning that there is a 16.667% chance of landing on a number.

Answer: Option B, The sample space has 12 different outcomes

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in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.

anastassius [24]

Answer: 493,700,000

Step-by-step explanation:

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2 years ago

The rectangular field has a perimeter of 98 meters. The width of the perimeter is three times as much as five times the length.

White raven [17]

Answer:

a) x = 3.0625m

y = 45.9375 m

b) A = 140.68359375 m²

Step-by-step explanation:

Let x be the length

Let y be the width

2x + 2y = 98

x + y = 49

y = 3(5x)

y = 15x

x + 15x = 49

16x = 49

x = 3.0625 m

y = 15(3.0625) = 45.9375

A = xy = 3.0625(45.9375) = 140.68359375

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3 years ago

One day at St. Philip's High School, 1/2 of the pupils walked to school, 1/5 of the pupils came to school by bus, and the remai

Doss [256]

Let P be the number of kids,
we know P>57
take 1-(1/2)-(1/5)=3/10
therefore 57 is 3/10P
3/7P=57
P=57*7/3=133 is the answer
it would be incorrect if we didnt get a positive integer.

7 0

3 years ago

One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily

lianna [129]

Answer:

In 9 days will the second warehouse have 1.5 times more coal than the first one

Step-by-step explanation:

The coal left in warehouses after x days can be found using the equation:

first warehouse: 185 - 15x

second warehouse= 237-18x

Let the second warehouse have 1.5 times more coal than the first one after n days then

1.5 ×(185 - 15n)=237-18n which gives:
277,5-22,5n=237-18n and
40,5=4,5n
9=n

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3 years ago

Evaluating integral by net area

N76 [4]

The graph of $f(x)=2$ is a horizontal line. So the area under $f(x)$ on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of $g(x)=\sqrt{64-x^2}$ is the upper half of a circle with radius $\sqrt{64}=8$ . It's symmetric about $x=0$ , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is $\frac{\pi 8^2}4=16\pi$ .

Then use the fact that the definite integral is distributive over sums, meaning

$\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi$

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3 years ago