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Setler79 [48]
3 years ago
5

Round 36.319 to the nearest tenth

Mathematics
2 answers:
frozen [14]3 years ago
4 0
The answer is 36.
Explanation
vampirchik [111]3 years ago
3 0
36.3 because the digit in the hundredths place is not 5 or greater
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determine the equation of the circle if its center is (8,-6) and which passes through the points (5,-2).
ser-zykov [4K]

Answer:

(x - 8)² + (y + 6)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (8, - 6 ) , then

(x - 8)² + (y - (- 6))² = r² , that is

(x - 8)² + (y + 6)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (8, - 6 ) and (x₂, y₂ ) = (5, - 2 )

r = \sqrt{(5-8)^2+(-2-(-6))^2}

  = \sqrt{(-3)^2+(-2+6)^2}

  = \sqrt{9+4^2}

  = \sqrt{9+16}

   = \sqrt{25}

   = 5

Then equation of circle is

(x - 8)² + (y + 6)² = 5² , that is

(x - 8)² + (y + 6)² = 25

6 0
2 years ago
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches.
nalin [4]

Answer:

option C 13.5%

Step-by-step explanation:

As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as

P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]

P(64<X<66.5)=P(-2<Z<-1)

P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)

P(64<X<66.5)=0.4772-0.3413=0.1359

Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.

If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.

5 0
3 years ago
Find y in the line through (4,y) and (7,2) has a slope of 6
Alenkasestr [34]

Answer:

The value of y is -16.

Step-by-step explanation:

To find the missing coordinate, we can use the slope equation and plug in all known values.

m(slope) = (y2 - y1)/(x2 - x1)

6 = (y - 2)/(4 - 7)

6 = (y - 2)/-3

Now we can solve using cross multiplication.

y - 2 = -3*6

y - 2 = -18

y = -16

8 0
3 years ago
Identify the factors of 6ab − 8a + 21b − 28. (5 points)
cupoosta [38]
Rearrange to

6ab+21b-8a-28 now factor 1st and 2nd pair of terms...

3b(2a+7)-4(2a+7)

(3b-4)(2a+7)

So it is the third one down...
4 0
3 years ago
Read 2 more answers
What is a formula for the nth term of the given sequence?<br> 20,50, 125...
loris [4]

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50.  Thus the common factor is 2.5.  The formula for the nth term is

a(n) = a(1)*r^(n - 1)  => a(n) = 20*2.5^(n - 1)

3 0
3 years ago
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