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lisov135 [29]
3 years ago
13

Tiara kept track of the number of good tennis serves that she made in a row.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0
First we put them in order....

9,11,12,15,16,17,17,19
Q1 (lower quartile) = (11 + 12) / 2 = 23/2 = 11.5
Q2 (median) = (15 + 16) / 2 = 31/2 = 15.5
Q3 (upper quartile) = (17 + 17)/2 = 34/2 = 17

so the upper quartile (Q3) = 17 <==
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What is the product of 5,811 x 102 = ________? <br> 5,811<br> 581,100<br> 581,110<br> 581,200
babunello [35]

Answer:

592,722

Step-by-step explanation: 5,811 x 102 gets 592,722 when you multiply it

plus product means result of multiplication.

Hope this helps :)

4 0
3 years ago
Which of the following are solutions to ? Check all that apply.
Usimov [2.4K]
The answer is D. -1/6
7 0
3 years ago
Prove that sin3a-cos3a/sina+cosa=2sin2a-1
Sloan [31]

Answer:

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

Step-by-step explanation:

we are given

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

we can simplify left side and make it equal to right side

we can use trig identity

sin(3a)=3sin(a)-4sin^3(a)

cos(3a)=4cos^3(a)-3cos(a)

now, we can plug values

\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}

now, we can simplify

\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}

\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}

\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}

now, we can factor it

\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}

\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}

we can use trig identity

sin^2(a)+cos^2(a)=1

\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}

we can cancel terms

=3-4(1-sin(a)cos(a))

now, we can simplify it further

=3-4+4sin(a)cos(a))

=-1+4sin(a)cos(a))

=4sin(a)cos(a)-1

=2\times 2sin(a)cos(a)-1

now, we can use trig identity

2sin(a)cos(a)=sin(2a)

we can replace it

=2sin(2a)-1

so,

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1


7 0
3 years ago
Read 2 more answers
Bigideasmath.
ratelena [41]
The total number of calories for 18 cups of milk is 1620 calories.
If two cups of milk is 180 calories then divide 180/2 to find the unit rate.
Then multiply 90 by the number of cups (18) and then you get the total number of calories for that many drinks.
6 0
3 years ago
Make the ratios equal. 9:25 = 36:?
satela [25.4K]

The equivalent ratio of 9:25 is 36:100.

Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.  

In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.

25 x 4 = 100

To learn more about ratios, please check: brainly.com/question/17995727

7 0
3 years ago
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