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2 years ago

Write the equation for a circle with a center at (5,-2) and a radius of 4.

Mathematics

1 answer:

choli [55]2 years ago

8 0

Answer:

$(x-5)^2+(y+2)^2=4^2$

Step-by-step explanation:

The equation of a circle is: $( x - h )^2 + ( y - k )^2 = r^2$ where ( h, k ) is the center and r is the radius. Therefore, the equation in this instance is $(x-5)^2+(y+2)^2=4^2$ .

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Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

kirza4 [7]

Answer:

$P(X < 24 )= 21.186\%$

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

7 0

3 years ago

If a soup recipe calls for 1 cup of carrots for every 3 cups of chicken, how many cups of carrots are needed if we have 18 cups

AveGali [126]

How many 3's are there in 18? 6! So we need 6 cups of carrots for 18 cups of chicken!

6 0

2 years ago

Read 2 more answers

Are words even real is anything we as humans taught real in life is it lies please answer with your own thoughts

den301095 [7]

Technically, everything we know was made up by our own minds. We thought of it all. We decided that the color of the sky would be called "blue" and not "doorknob". Education is a continuous cycle that never stops progressing.

6 0

3 years ago

Read 2 more answers

Solve this question<br> 2(x+3)=x-4

Whitepunk [10]

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4 (Multiply the 2 by the x and the 3);

2x+6=x-4 (Now you group like terms)

2x-x=-4-6

x=-10

8 0

2 years ago

Read 2 more answers

Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe

nirvana33 [79]

Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here

5 0

3 years ago