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asambeis [7]
3 years ago
8

Taryn collected data for the rain collected over a number of days in various cities. Which of the data sets represents a scatter

plot with a line of best fit that BEST displays a relationship where, as the number of days increases, the amount of rain collected remains constant?
A.
(5, 1), (2, 7), (3, 6), (4, 4), (1, 8), (6, 0)

B.
(1, 6), (5, 6), (3, 5), (4, 5), (6, 5)

C.
(3, 1), (5, 5), (1, 6), (6, 2), (2, 7)

D.
(2, 3), (6, 8), (5, 8), (1, 1), (3, 5), (4, 6)
Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

Step-by-step explanation:

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Find the exact value of cos theta​, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.
vova2212 [387]

Answer:

cos \theta = -\frac{8}{17}

Step-by-step explanation:

For this case we know that:

sin \theta = \frac{15}{17}

And we want to find the value for cos \theta, so then we can use the following basic identity:

cos^2 \theta + sin^2 \theta =1

And if we solve for cos \theta we got:

cos^2 \theta = 1- sin^2 \theta

cos \theta =\pm \sqrt{1-sin^2 \theta}

And if we replace the value given we got:

cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

cos \theta = -\frac{8}{17}

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3 years ago
Find the part of the number.<br><br><br> * Find 3 1/16 of 32.
oee [108]

Answer:

98

Step-by-step explanation:

6 0
3 years ago
p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually
hichkok12 [17]

Answer:

P earned $ 718.85.

Step-by-step explanation:

Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:

16,000 x 0.12 x 3 = X

1,920 x 3 = X

5,760 = X

16,000 x (1 + 0.12 / 1) ^ 3 = X

16,000 x 1.12 ^ 3 = X

16,000 x 1.404928 = X

22,478.85 = X

22,478.85 - 16,000 = 6,478.85

6,478.85 - 5,760 = X

718.85 = X

Therefore, P earned $ 718.85.

5 0
3 years ago
suzie spent 3 1/2 hours at the beach. she spent 45 minutes playing in the sand and the rest of the time playing in the water. ho
Anika [276]

Answer:

2 hours and 45 min

Explanation:

3 hours+30 minutes

subtract 30

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subtract 15

2 hours and 45 min

6 0
2 years ago
Allison has 1/2 cup of yogurt for making fruit parfaits.Each parfait requires 1/8 a cup of yogurt.How many parfaits can she make
cupoosta [38]
Allison can make 4 fruit parfaits.

Since one parfait requires 1/8 cup of yogurt, add:
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They all share a common denominator, so:

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Simplify your answer (divide numerator and denominator by the common factor of 2) :

4/8 = 1/2

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5 0
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