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Lady_Fox [76]
3 years ago
7

Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer: The probability of Sarah picking a blue marble on 2 consecutive draws without replacement = 15.8%

Step-by-step explanation:

Given: Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.

The probability of Sarah picking a blue marble on 2 consecutive draws without replacement = \dfrac{40}{100}\times\dfrac{39}{99}=0.157575757576\approx15.8\%

Hence, the probability of Sarah picking a blue marble on 2 consecutive draws without replacement = 15.8%

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Question in attachment
kiruha [24]

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

6 0
3 years ago
Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta
alexdok [17]

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

3 0
3 years ago
In shop a crunchy peanut butter costs $325 for 250g
FinnZ [79.3K]

Answer:

shop b

Step-by-step explanation:

We can find for example how much 100 grams of peanut butter cost in each shop using a proportion

shop A 100 : 250 = x : 325

x = (325 * 100) / 250 = $130

shop B  100 : 340 = x : 408

x = (408 * 100)/ 340 = $120

We discovered that shop B is cheaper

5 0
3 years ago
Peter and Amanda collect seashells on a beach. They both had 0 seashells when they started. Peter collects 5 seashells every min
ankoles [38]

Answer:

5x+8y

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
What is the constant of proportionality in the equation y=2xy
dybincka [34]

Answer:

2 is the constant of proportionality in the equation y = 2x .

Step-by-step explanation:

Definition of constant of proportionality

When two variables are directly proportional to each others .

Let us assume that u and v .

u \propto vu∝v

Than the equation becomes u= kv

Where k is called the constant of proportionality .

Thus in the question x and y are proportional variables .

i.e

y \propto xy∝x

y = kx

Where k is called the constant of proportionality .

Compare the equation y = kx with y=2x .

Thus

k = 2

Therefore 2 is the constant of proportionality in the equation y = 2x

the explanation is not mine only the answer

6 0
2 years ago
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