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ss7ja [257]
3 years ago
12

Juanita has a bag of marbles. Without looking, she removes one marble, notes the color and replaces it. She repeats this process

70 times and records the results in the table below. What is the probability that she will pick a blue marble on her 71 st try
Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Given table:

color ----- Frequency

Red ------ 14

Green ----- 19

Blue -------- 21

Yellow ----- 16

Number of process repeated (trials) = 70 times

Probability (event) = number of times the event occurs / total number of trials

From the table we can see that the number of times she pick the blue marble is 21

Probability of picking a blue marble on next try = \frac{21}{70} = \frac{3}{10}

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Please helppppp meeeeeee!!!!!!!!!!!!!!!!!!!!
LenKa [72]

Answer:

The option is C i.e 115°, 65°. proof is given below.

Step-by-step explanation:

Given:

ABCD is a quadrilateral.

m∠ A = 100 + 5x

m∠ B = 77 - 4y

m∠ C = 106 + 3x

m∠ D = 47 + 6y

To Prove:

ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.

m∠ A = m∠ C and

m∠ B = m∠ D

Proof:

ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.

∴ m∠ A = m∠ C

On substituting the given values we get

∴  100 + 5x  = 106 +3x

∴ 5x-3x=106-100\\\\2x=6\\\\x =\frac{6}{2} \\\\x=3

m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°

m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°

∴  m∠ A = m∠ C = 115°

Similarly,

∴ m∠ B = m∠ D

77 - 4y = 47 + 6y

10y = 77 - 47

10y =30

∴y=\frac{30}{10} \\y = 3\\

m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°

m∠ D = 47 + 6y = 47 + 6 × 3 = 47 + 18 = 65°

∴ m∠ B = m∠ D = 65°

Therefore the option is C i.e 115°, 65°

5 0
4 years ago
Help please. <br><br> Please <br><br> Please
iragen [17]

2x - 6 = 60 - x  \\ add \: x \: to \:both \: sides \\  2x + x - 6 = 60 - x + x \\ 3x - 6 = 60 \\ add \: 6 \: to \: both \: sides \\ 3x - 6 + 6 = 60 + 6 \\ 3x = 66 \\ divide \: both \: sides \: by \: 3 \\  \frac{3x}{3}  =  \frac{66}{3}  \\ x = 22

8 0
3 years ago
What is the equation of a line with a slope of 2 and a y intercept of -5?
Elanso [62]

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

7 0
3 years ago
7. 12, 24, 4, 18, 12, 9<br><br> Using the data, create a histogram.
Mnenie [13.5K]

Answer:

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

Step-by-step explanation:

You can use python for that.

By doing

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

And this is the result you get

5 0
3 years ago
Please help i’ll give brainliest
Luba_88 [7]

In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=\frac{\sqrt{5}}{\sqrt{2}} and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. \frac{\sqrt{10}}{2}.

7 0
3 years ago
Read 2 more answers
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