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3 years ago

The risk of a child developing cancer is approx 3 in 1500. If there are approx 11,721,722 children, how many have cancer?

Mathematics

1 answer:

Maslowich3 years ago

4 0

Answer:

Approximately 23,433 children will have cancer.

Step-by-step explanation:

3/1500 can be simplified to 1/500, which can also be written as 0.002. To find the number of children who have cancer, we do 11,721,722 * 0.002, which gives us 23,433.444 which we can round to 23,433.

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Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x

Tcecarenko [31]

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

$(x-h)^2+(y-k)^2=r^2$

Where the point (h,k) is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

$x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121$

Add 10x to both sides:

$x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121$

Make two groups for variable "x" and variable "y":

$(x^2+10x)+(y^2-20y)=-121$

Complete the square:

Add $(\frac{10}{2})^2=5^2$ inside the parentheses of "x".

Add $(\frac{20}{2})^2=10^2$ inside the parentheses of "y".

Add $5^2$ and $10^2$ to the right side of the equation.

Then:

$(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4$

Rewriting, you get that the equation of the circle in center-radius form is:

$(x+5)^2+(y-10)^2=2^2$

You can observe that the radius of the circle is:

$r=2$

And the center is:

$(h,k)=(-5,10)$

6 0

3 years ago

Read 2 more answers

At a baseball game, a vender sold a combined total of 240 sodas and hot dogs. The number of sodas sold was two times the number

olga55 [171]

Answer:

Sodas: 160

Hot Dogs: 80

Step-by-step explanation:

Sodas: s

Hot Dogs: d

s+d=240

s=2d

3d=240

d=80

s=160

7 0

3 years ago

Classify the sample statistics as biased or unbiased estimators of the corresponding parameters. For example, if the sample mean

Aloiza [94]

Biased estimators are Sample median & sample standard deviation

Unbiased are sample mean sample variance and sample proportion

Neither choice include population mean, standard deviation proportion and variance

Step-by-step explanation:

6 0

3 years ago

I need help with this problem

Ipatiy [6.2K]

We just check on the graph and see that

the answer is x = -7 and x = 2

5 0

2 years ago

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Question 15 h(x) = 2x + 8 when x = 6. Evaluate

Naddik [55]

Answer:

h(6) = 20

Step-by-step explanation:

h(x) = 2x + 8

h(6) = 2(6) + 8

h(6) = 12 + 8

h(6) = 20

3 0

3 years ago