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NikAS [45]
3 years ago
6

Whats the equation for this​

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0

Answer:

x^2 + y^2 + 4x + 4y  = -119/16

Step-by-step explanation:

The axes x and y are calibrated in 0.25

If the circle is carefully considered, the radius r of the circle is:

r = -1.25 - (-2)

r = 0.75 units

The equation of a circle is given by:

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

The center of the circle (a, b) = (-2, -2)

Substituting  (a, b) = (-2, -2) and r = 0.75 into the given equation:

(x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y  = -119\\\\x^2 + y^2 + 4x + 4y  = -119/16\\

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At a particular garage, 60% of the customers require an oil change, 20% require tire rotation, and 75% of customers require at l
ZanzabumX [31]

Answer:

a. 5%

b. 55%

c. 70%

Step-by-step explanation:

a. The probability of customer wanting both services (P(O&T)) is:

P(O)+P(T)+P(O\&T) = 0.75\\P(O)+P(O\&T) =0.60\\P(T)+P(O\&T) = 0.20\\P(O)+P(T)+P(O\&T) -[P(O)+P(T)+2P(O\&T)]=0.75 -(0.60-0.20)\\P(O\&T)=0.05=5\%

The probability is 5%

b. The probability that the customer will need an oil change, but not a tire rotation (P(O)) is :

P(O)+P(O\&T) = 0.60\\P(O\&T) = 0.05\\P(O) =0.60-0.05 = 0.55 = 55\%

The probability is 55%

c. The probability that the customer will want exactly one of these two services (P(O)+P(T)) is:

P(O)+P(T)+P(O\&T) = 0.75\\P(O\&T) = 0.05\\P(O)+P(T) =0.75-0.05 = 0.70 = 70\%

The probability is 70%

4 0
3 years ago
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Answer:

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A construction company is strung up signs on 4 mile of the road.. if the company places a sign every 1/8 of a mile, how many sig
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"A construction company is stringing up signs ... "


Divide 4 miles by 1/8 mile:


4 miles

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Which expression below represents "11 more than the difference of b and y?"
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Hope this helps
Have a happy holidays
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2 years ago
The first discount on a camera was 18%. The second discount was 20%. After these two discounts the price was $328. What was the
Artyom0805 [142]

Answer:

$500

Step-by-step explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

<u>Second Discount</u>

20% off means we paid 80%. We know we paid $328 of some price.

\frac{80}{100} =\frac{328}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

80y=100(328)\\80y=32800

I now solve for y by dividing by 80.

\frac{80y}{80} =\frac{32800}{80} \\y= $410

The price after the first discount was $410.

<u>First Discount</u>

We will repeat the steps above with $410. 18% off means we paid 82%.

\frac{82}{100} =\frac{410}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

82y=100(410)\\82y=41000

I now solve for y by dividing by 82.

\frac{82y}{82} =\frac{41000}{82} \\y= $500

The original price was $500.


5 0
3 years ago
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