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Afina-wow [57]
3 years ago
13

25 POINTS!

Mathematics
2 answers:
IrinaK [193]3 years ago
7 0

Answer:

0.32

.22

regular (capuccino is incorrect)

Step-by-step explanation:

in the mocha column 25 people prefer hot and 12 people prefer cold are equal to 37 people.  25+12=37

relative frequency of preferring cold is 12.  12÷37 = .32

In the hot column 11, 25, 19, 30 people are combined for total of 85 people who prefer hot coffee.  11+25+19+30=85

relative frequency of preferring a latte is 19: 19÷85 = .22

combine regular column for 17 ÷ 28 = .61

combine mocha column for 12÷40 = .30

combine latte column for 20÷39 = .51

combine cappucino column for 27÷57 = .47

The type of coffee that has the highest percentage of people who prefer it cold is regular.  (if you combine only the cold column you will end up with cappuccino which is wrong.)

Alex777 [14]3 years ago
6 0

Answer:

the dude up top correct just saying

Step-by-step explanation:

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Andre received $60 for his birthday and put it in his piggy bank. Each week, he put 3 more dollars in the bank. The amount of mo
Dahasolnce [82]

Answer:

96 (dollars)

Step-by-step explanation:

D represents the amount of money Andre has in his bank after w weeks.  This formula is written as D(w) = 3w + 60 (dollars).

After 12 weeks, Andre will have accumulated D(12) = 3(12) + 60 dollars, or

36 + 60 dollars, or 96 dollars.  This is answer choice B.

3 0
3 years ago
If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?
yulyashka [42]

Answer:

2nd answer choice :)

Step-by-step explanation:

7 0
3 years ago
Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b).

The sine difference identity is:

\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a).

The cosine addition identity is:

\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b).

The cosine difference identity is:

\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b).

We need to find a way to put some or all of these together to get:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}.

So I do notice on the right hand side the \sin(a+b) and the \sin(a-b).

Let's start there then.

There is a plus sign in between them so let's add those together:

\sin(a+b)+\sin(a-b)

=[\sin(a+b)]+[\sin(a-b)]

=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]

There are two pairs of like terms. I will gather them together so you can see it more clearly:

=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]

=2\sin(a)\cos(b)+0

=2\sin(a)\cos(b)

So this implies:

\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)

Divide both sides by 2:

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

By the symmetric property we can write:

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

3 0
3 years ago
You’re given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. H
ch4aika [34]

Answer:

C.2

Step-by-step explanation:

7 0
3 years ago
2n +9+5n=30 need help on this
Rus_ich [418]
2n+9+5n=30  combine like terms on left side

7n+9=30  subtract 9 from both sides

7n=21  divide both sides by 7

n=3
8 0
3 years ago
Read 2 more answers
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