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marissa [1.9K]
3 years ago
11

The center of the circle is (-4,6). the circle passes through the point (-2,3). what is it’s radius

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Answer:

Radius is 3.6

Step-by-step explanation:

Using Pythagorean Theorem we find the Hypotenuse with the side lengths which are 3 and 2.

The quick equation to solve that would be

\sqrt{3^2+2^2} =\sqrt{13} = 3.60

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Charlie wants to swim across a river that's is 400 meters wide. He begins swimming perpendicular to the shore he from but ends u
nirvana33 [79]
Let's calculate Charlie swimming distance. Assume Charlie swimming distance is D.
D^2 = 400^2 + 100^2 => D = 412 meters

Assume d is Carter's distance.
d^2 = 400^2 + 150^2 => d = 427 meters

Carter swims more than Charlie by:
d - D = 427 - 412 = 15 meters
4 0
3 years ago
A crane lift a pallet of concrete Blocks 8 feet from the back of a truck the truck drives away in the crane lowers the palate 13
levacccp [35]

Answer:

  5 ft below the level of the back of the truck

Step-by-step explanation:

+8 -13 = -5

Relative to the back of the truck, the final position of the pallet is 5 ft below where it started.

6 0
4 years ago
How to solve for h? I don't understand it
Vesnalui [34]
H is the altitude of a right triangle, so h²=AD*DC=(20-4)*4=64
h=√64=8
D is the correct answer. 
6 0
3 years ago
A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

X=1 number of citrus trees that are infected with the citrus red mite.

n=5 random sample taken

\hat p=\frac{1}{5}=0.2 estimated proportion of citrus trees that are infected with the citrus red mite.

p true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56  

And rounded up we have that n=6147

5 0
4 years ago
How do you write 35,326 in words
maks197457 [2]

thirty-five thousand, three hundred twenty-six.

3 0
3 years ago
Read 2 more answers
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