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Arturiano [62]
1 year ago
12

8. (09.04 LC)

Mathematics
1 answer:
ozzi1 year ago
3 0

Answer:

(x + 3)² + (y -2)² = 4

Explanation:

Circle Formula: (x -h)² + (y -k)² = r²

"r" is radius, "h" is x coordinates of center, "k" is y coordinate of center.

Here given:

  • h = -3, k = 2, r = 2

Insert values:

(x -(-3))² + (y -2)² = 2²

(x + 3)² + (y -2)² = 4

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Joan gets $1,000 paycheck each month. She saves $50 from each paycheck. What percent of her paycheck does Joan save?
kirill [66]

Answer:

The percentage of paycheck Joan saves is 5%  .

Step-by-step explanation:

Given as :

The paycheck that Joan gets each months = x = $1,000

The money that Joan saves from each paycheck = y = $50

Let The percentage of paycheck Joan saves = z%

<u />

<u>Now, According to question</u>

The percentage of paycheck Joan saves = \dfrac{\textrm  money that Joan saves from each paycheck}{\textrm total paycheck money} × 100

Or, z = \dfrac{y}{x} × 100

Or, z = \dfrac{50}{1000} × 100

Or, z = 5%

So, The percentage of paycheck Joan saves = z = 5%

Hence,The percentage of paycheck Joan saves is 5%  . Answer

3 0
2 years ago
Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p
lesya692 [45]

Answer:

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

Step-by-step explanation:

Let <em>X</em> = time it requires Jeannie to catch her plane.

The random variable <em>X</em> is normally distributed, N(46, 5).

Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

P(X>60)=P(\frac{X-\mu}{\sigma} >\frac{60-46}{5} )\\=P(Z>2.8)\\=1-P(Z

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under <em>x</em> minutes.

That is, P (X < x) = 0.96.

Compute the value of <em>x</em> as follows:

P(X

**Use the <em>z</em>-table to compute the value of <em>z</em>.

The value of <em>z</em> is 1.751.

Compute the value of <em>x</em> as follows:

z=\frac{x-46}{5}\\ 1.751=\frac{x-46}{5}\\x=46+(1.751\times5)\\=54.755\\\approx 55

Thus, Jeannie should leave her office 55 minutes early.

4 0
3 years ago
A right triangle is graphed on a coordinate plane. Find the length of the hypotenuse. Round your answer to the nearest tenth. ​
Hoochie [10]

Answer:

7.6

Step-by-step explanation:

From the graph, we know the lengths of two legs.

  a = 3

  b = 7

Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember,  a^2 + b^2 = c^2)

c = √a2 + √b2  

= √(7)2 + √(3)2

= √49 + √9

= √58

= 7.6

8 0
3 years ago
Suppose that farmer's grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the
MArishka [77]
The price would decrease because they want to get rid of the tomatoes

5 0
2 years ago
Read 2 more answers
7. Convert the subtraction problem into an addition problem.<br> 10- (-5)
dalvyx [7]

Answer:

10 + 5

Step-by-step explanation:

If you are subtracting a negative then it become adding a positive. A way to remember this is because it has matching socks.

7 0
2 years ago
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