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dem82 [27]
3 years ago
13

A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2

in. Some friends play a game throwing coins onto the mat to see who can land a coin on one of the circles.
Assuming that a coin always lands on the mat, what is the probability that a coin thrown at random will land inside one of the circles?

Use 3.14 to estimate Pi
Enter your answer, as decimal rounded to the nearest hundredth.

Please help thank you so much!

Mathematics
2 answers:
adell [148]3 years ago
8 0
 the answer is 0.79 by my calculations
grandymaker [24]3 years ago
6 0
The answer is 0.79. I know it's the answer I am a genius in math.
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2x + y = 7<br> this is my first day in algebra and i have no clue how to solve a literal equation
Elenna [48]

Answer:

y = 7 - 2x

Step-by-step explanation:

Step 1:

2x + y = 7               Equation

Step 2:

y = 7 - 2x          Subtract 2x on both sides

Answer:

y = 7 - 2x

Hope This Helps :)

7 0
4 years ago
What is the domain of y = log5^x
professor190 [17]

Answer:

The answer is all real numbers

5 0
3 years ago
A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea
Flura [38]

Answer: (0.163,\ 0.189)

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = Sample proportion.

n= Sample size.

z* = Critical value.

Let p = Proportion of adults in the U.S. who have donated blood in the past two years.

As per given , we have

n= 2322

Sample proportion of adults in the U.S. who have donated blood in the past two years. : \hat{p}=\dfrac{408}{2322}\approx0.1757

By z-table , the critical value for 90% confidence : z*= 1.645

Then, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years will be

0.1757\pm ( 1.645)\sqrt{\dfrac{0.1757(1-0.1757)}{2322}}

0.1757\pm ( 1.645)\sqrt{0.0000623727433247}

0.1757\pm ( 1.645)(0.00789764163056)

0.1757\pm 0.013

=(0.1757- 0.013,\ 0.1757+ 0.013)

=(0.1627,\ 0.1887)\approx(0.163,\ 0.189)

Hence, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. = (0.163,\ 0.189)

5 0
3 years ago
What is the equation of a parabola that has intercepts of x=-2 and x=6 and passes through point (8,6)?
mezya [45]

Step-by-step explanation:

general form of a parabola :

y = ax² + bx + c

we have 3 points of the parabola to calculate the 3 variables :

the 2 intercepts are actually

(-2, 0)

(6, 0)

and then

(8, 6)

so, we get the 3 equations

0 = a(-2)² + b×-2 + c = 4a - 2b + c

0 = a×6² + b×6 + c = 36a + 6b + c

6 = a×8² + b×8 + c = 64a + 8b + c

from the 1st equation we get

c = -4a + 2b

using that in the 2nd equation we get

0 = 36a + 6b - 4a + 2b = 32a + 8b = 4a + b

b = -4a

therefore,

c = -4a + 2b = -4a + 2×-4a = -4a - 8a = -12a

using all that in the 3rd equation we get

6 = 64a + 8×-4a + -12a = 64a - 32a - 12a = 20a

a = 6/20 = 3/10 = 0.3

b = -4a = -4×3/10 = -12/10 = -1.2

c = -12a = -12×3/10 = -36/10 = -3.6

so, we have

y = 3/10 x² - 12/10 x - 36/10 = 3/10 × (x² - 4x - 12)

3 0
2 years ago
Find the weekly gross wage for a full-time person who earns $19.75 hourly.
Ber [7]

Answer:

$790

Step-by-step explanation:

A full time person works 40 hours a week.  So multiply the hourly pay of $19.75 by 40 (full time hours) and you get your weekly gross wage of $790

3 0
3 years ago
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