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FrozenT [24]
3 years ago
5

How do I do this and what’s the answer

Mathematics
2 answers:
lakkis [162]3 years ago
6 0

Answer:

The area of the four curved surfaces is the area of one circle with a radius of 4 cm

Area = PI * radius^2

Area = PI * 4 ^ 2

Area = PI * 16 = 50.26548245744 sq cm

Area of entire square = 8 * 8 = 64 sq cm

Area of yellow region = 64 - 50.265 sq cm =

= 13.735 = 13.7 sq cm (rounded to nearest tenth)

Step-by-step explanation:

weeeeeb [17]3 years ago
6 0

Answer:

Area of the yellow part = 13.76

Step-by-step explanation:

Remark

Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.

Area of the square

A = s^2

A = 8^2

A = 64

Area of the 4 quarter circles.

Area = 4* (1/4) * Pi * r^2

r = 4   (1/2 of the square's side)

Area = 4*(1/4) * pi * 4^2

Area = pi * 4^2

Area = 16 * pi

Area of the yellow part

Area of the yellow part = Area of the square - Area of the 4 quarter circles.

Area of the yellow part = 64 - 16*pi    This is a possible answer.

Area of the yellow part = 64 - 50.24

Area of the yellow part = 13.76    This is the answer I'd try first.

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Answer:

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Step-by-step explanation:

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The right way is to cross out one negative symbol between the two parentheses

6 0
3 years ago
A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection
Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : p=0.35

Sample size : n= 500

Sample proportion : \hat{p}=\dfrac{156}{500}=0.312

Test statistic for population proportion :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0
3 years ago
The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

3 0
3 years ago
Susie has a bag with 8 hair pins, 6 pencils, 3 snacks, and 5 books. What is the ratio of books to pencils?
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Answer:

D) 5/8

Step-by-step explanation:

Since Susie has 5 books and 8 hair pins, you get 5:8 which can be transferred into a fraction of 5/8.

7 0
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Where does the line y = 4x + 1 intersect the y-axis (the y-intercept)?
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Answer:

(0,1)

Step-by-step explanation:

The equation for slope is y=mx+b.

The b value stands as the y - intercept.

6 0
2 years ago
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