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3 years ago

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Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of pap

er. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?

1 answer:

DENIUS [597]3 years ago

3 0

Answer:

odd

Step-by-step explanation:

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

Please ..........help me

Ad libitum [116K]

Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.

6 0

3 years ago

Tim is training for a marathon, He ran 24 miles in 5 days, if he ran the same distance each diay, how far did he run per day?

malfutka [58]

Answer:

I believe its 4.8, which is confusing seeing as its not an option.

Step-by-step explanation:

If he ran 24 miles in 5 days, divide 24 by 5 to get your answer.

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3 years ago

3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.

STatiana [176]

Answer:

the answer is 5 because thats the varible

Step-by-step explanation:

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2 years ago

ΔJKL is dilated about the origin with a scale factor of 2/3. Which of the following is the image point of K(6,12)?

Snowcat [4.5K]

Answer: (4,8) which is choice A

f = 2/3 is the scale factor

x = 6 and y = 12 pair up to get the coordinates for point K's location

multiply f by x and y to get the new location

f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4

f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8

The results we get are 4 and 8. So (6,12) moves to (4,8)

This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.

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3 years ago