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3 years ago

Joe needs to read 4 novels each month.

Mathematics

1 answer:

marusya05 [52]3 years ago

4 0

9514 1404 393

Answer:

N = 4M
44

Step-by-step explanation:

If Joe reads 4 novels each month, the number of novels read will be 4 times the number of months that have passed.

N = 4M

When M=11, we have ...

N = 4×11 = 44

Joe needs to read 44 novels in 11 months.

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Misha Larkins [42]

Answer:

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Step-by-step explanation:

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3 years ago

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Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

$(x-a)^2 + (y-b)^2 = r^2$

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

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3 years ago

Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours

Alona [7]

Answer:

Option C is correct.

Step-by-step explanation:

We have been given total 8 data

Data is : 12,15,18,20,23,23,28

Here, n=7

Median is $\frac{n+1}{2}=\frac{7+1}{2}=4th term$

Median is 20.

When one data is added n=8

The median of even number of data is

$median=\frac{\frac{n}{2}\text{th and}\frac{n}{2}+1\text{th}}{2}$

Median is $\frac{8}{2}\text{th and}\frac{8}{2}+1th$

Median is $4\text{th and}5th$

4th terms is 20

5th terms is 23

Since, median should not be change hence,

Median will be 20.

Therefore, option C is correct.

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Check the picture below.

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