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3 years ago

An internet company randomly selected 50 of its

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

Answer:

448 subscribers

Step-by-step explanation:

First, find the percentage of people that use the internet more than 15 hours per week.

$\%=\frac{28}{50}=0.56=56\%$

Now, we can use this information to find 56% of 800.

$56\%*800$

Note that percentages can also be written as that number over 100.

$\frac{56}{100}*800=\frac{44800}{100}=448\text{ subscribers}$

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caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe.

Hitman42 [59]

Answer:

18/95

Step-by-step explanation:

What is probability?

Probability is simply the chances of something occuring.

As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes

Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.

In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action

Understanding the question

Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.

So here # of favorable outcomes = # of blue caps = 9

and

total number of outcomes = total # of caps = 7 + 4 + 9 = 20

Finding the probability

For first draw

First let's find the probability that caleb will select a blue cap the first time.

We know that probability = # of favorable outcomes / total # of outcomes

We also know that # of favorable outcomes = 9 and total # of outcomes = 20

Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20

For second draw

Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps

This results us in having # of favorable outcomes as 8 and total # of outcomes as 19

Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19

Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities

From doing so we acquire 9/20 * 8/19 = 18/95

4 0

2 years ago

Read 2 more answers

What is 312/17 in simplest form.

My name is Ann [436]

312/17
= (306+6)/ 17
= 306/17+ 6/17
= 18+ 6/17
= 18 6/17

The final answer is 18 6/17~

7 0

3 years ago

Can someone help me? it’s due in like 10 minutes

Romashka-Z-Leto [24]

Answer:

B. 3x + y = 4

Step-by-step explanation:

y = -3x + 4

Check:

3x + y = 4

-3x -3x

y = -3x + 4

8 0

3 years ago

Read 2 more answers

In circle o, the length of radius OL is 6 cm and the length

AlekseyPX

Answer:

14.2cm

Step-by-step explanation:

The diagram representing the circle and its attributes has been attached to this response.

As shown in the diagram;

The circle is centered at o,

The length of radius OL = 6cm

The length of the arc LM = 6.3cm

The angle MON = 75°

The angle LOM = θ

Remember that;

The length, L, of an arc is given by;

L = (θ / 360) x (2πr) -------------(i)

Where;

θ is the angle subtended by the arc

r = radius of the circle.

Using the formula in equation (i), let's calculate the angle θ subtended by arc LM as follows;

L = (θ / 360) x (2πr)

Where;

L = length of arc LM = 6.3cm

r = radius of the circle = length of radius OL = 6cm

Substitute these values into the equation to get;

6.3 = (θ / 360) x (2 x π x 6)

6.3 = (θ / 360) x (12 x π)

6.3 = (θ / 30) x (π) [Take π = 22/7]

6.3 = (θ / 30) x (22 / 7)

θ = $\frac{6.3*30*7}{22}$

θ = 60.14°

Therefore, the angle subtended by arc LM is 60.14°

Now, from the diagram,

The angle subtended by arc LMN is;

θ + 75° = 60.14° + 75° = 135.14°

Let's now calculate the length of arc LMN using the same equation (i)

L = (θ / 360) x (2πr)

Where;

L = length of arc LMN

θ = angle subtended by LMN = 135.14°

r = radius of the circle = length of radius OL = 6cm

Substitute these values into the equation;

L = (135.14° / 360°) x (2 x π x 6) [Take π = 22/7]

L = 14.15cm

Therefore, the length of arc LMN is 14.2cm to the nearest tenth.

6 0

4 years ago

tina baught 3 video games that each cost the same amount that tax on each vido game was 1.29 she paid

crimeas [40]

Answer:

x=21.5

Step-by-step explanation:

I had this question and got it right!

6 0

3 years ago