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prohojiy [21]
2 years ago
12

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. U

se the value 3.14 for pie, And do not round your answer.
Mathematics
1 answer:
love history [14]2 years ago
8 0

Answer:

0.9675sq.cm

Step-by-step explanation:

Find a related diagram attached

Area of the shaded region = Area of rectangle - area of semicircle

Area of rectangle = 3cm * 1.5cm

Area of rectangle = 4.5sq.cm

Given

diameter of the semicircle = 3cm

area = πd²/8

Area of the semicircle = 3.14(3)²/8

Area of the semicircle = 3.5325sq.cm

Area of the shaded region = 4.5 - 3.5325

Area of the shaded region = 0.9675sq.cm

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The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

Z = \frac{X - \mu}{\sigma}

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
HELP ASAP <br> What is the slope of the line on the graph?
ollegr [7]
The slope of this line is -1/6.  

2 Point:     (6,2)         (-6,6)
                   x₁ y₁         x₂ y₂
       

Remember: 
  
    rise          change in y          y₂ - y₁          6 - 2            4
 ---------- =  ------------------- = ------------- = ----------- = ----------
    run            change in x         x₂ - x₁         -6 - 6          -12


Simplify 4/-12

     4 ÷ 4             1
  -------      = ------------- = -1/3
   -12 ÷ 4          -3

The slope of the line is -1/3.






3 0
3 years ago
Look at pic 10 pts will mark brainilest
Nina [5.8K]

Answer:

<em>For part one...</em>

<em><u>you will multiply 4.5 by 3 to get 13.5 . </u></em>

<em>For part two,</em>

<u><em> you will multiply 3m by 4 to get 12.</em></u>

<u><em></em></u>

<em> (: </em><em><u>I hope this helps! BRAINLIEST is appreciated to get to virtuoso</u></em><em> :)</em>

6 0
2 years ago
The functions f(x) and g(x) are shown on the graph f(x)=^2 what is g(x)
igomit [66]

i thank it is B i hope that helped

4 0
3 years ago
Read 2 more answers
X^2+y^2+14x+10y=7 <br> center and radius
Sholpan [36]
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x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2

Answer:\\\boxed{(-7;-5)-center;\ 9-radius}
8 0
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