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I am Lyosha [343]
3 years ago
13

a cookie jar contains four oatmeal raisin, one sugar, nine chocolate chip, and six peanut butter cookies. if one is chosen at ra

ndom, find each probability.
Mathematics
1 answer:
VikaD [51]3 years ago
8 0

Step-by-step explanation:

There are a total of 4 + 1 + 9 + 6 = 20 cookies.  So the probabilities of each type for a random cookie are:

P(oatmeal raisin) = 4/20 = 1/5

P(sugar) = 1/20

P(chocolate chip) = 9/20

P(peanut butter) = 6/20 = 3/10

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50 points. Please explain each step​
3241004551 [841]
<h3>Sin\theta_{1}=\frac{3\sqrt{21}}{17}</h3>

Solution given:

Cos\theta_{1}=\frac{10}{17}

\frac{adjacent}{hypotenuse}=\frac{10}{17}

equating corresponding value

we get

adjacent=10

hypotenuse=17

perpendicular=x

now

by using Pythagoras law

Hypotenuse ²=perpendicular²+adjacent ²

substituting value

17²=x²+10²

17²-10²=x²

x²=17²-10²

x²=189

doing square root

\sqrt{x²}=\sqrt{189}

x=3\sqrt{21}

now

In I Quadrant sin angle is positive

Sin\theta_{1}=\frac{perpendicular}{hypotenuse}

<h3>Sin\theta_{1}=\frac{3\sqrt{21}}{17}</h3>
7 0
2 years ago
Read 2 more answers
I need to know how to solve this equations
Vlad [161]
The answer is x=12 hope it helps
3 0
3 years ago
Decrypt the word DKA if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 5 (mapping A to F), and
pochemuha

Answer:

YET

Step-by-step explanation:

TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.

TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.

D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.

SO, D IS DECRYPTED AS Y

GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.

K IS THEN DECRYPTED AS

K = J - I - H - G - F - E

K IS DECRPYTED AS E

GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS

A = Z - Y - X - W - V - U - T.

THUS, DKA IS DECRYPTED AS YET

5 0
3 years ago
The area of the rug is 4 15/36<br> The rug is 2 3/4 meters in height <br> How wide is the rug
sineoko [7]
I assume the rug is rectangle.

The area of rectangle is width (W) multiply by hight (H)

A=4\frac{15}{36}=4\frac{5\cdot3}{12\cdot3}=4\frac5{12}\\\\H=2\frac34\\\\\\A=W\cdot H\\\\4\frac{5}{12}=W\cdot2\frac34\\\\4\frac5{12}:2\frac34=W\\\\ \frac{4\cdot12+5}{12}:\frac{2\cdot4+3}{4}=W\\\\ \frac{53}{12}:\frac{11}4=W\\\\ \frac{53}{12}\cdot\frac4{11}=W\\\\ \frac{53\cdot4}{3\cdot4\cdot11}=W\\\\W=\frac{53}{33}\\\\W=1\frac{20}{33}

The rug is  1\frac{20}{33}  meters wide
4 0
3 years ago
5 tons of fertilizer cost $14,100.00. What is the price per pound?
aivan3 [116]

Answer:

$2,820

Step-by-step explanation:

$14,100.00 / 5= $2,820

8 0
3 years ago
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