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Andreyy89
3 years ago
6

A line that intersects a circle at two points is a(n)______ of the circle.

Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer:

secant

Step-by-step explanation:

A secant is a line that intersects a circle in exactly two points.

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Emma Sanchez is currently renting an apartment for $725 per month and paying $275 annually for renter’s insurance. She just foun
Savatey [412]

Answer:

Annual Cost of Rent: $725*12=8700

Add: Renter's Insurance=$275

Total Cost=$8,975

Now if she purchased a house then let's see how much annual cost she need to bear:

EMI=$185000-$10,000=$175000/Total PVIF @5% for 30Years

EMI=$939.44

Hence. Annually it would be $939.44*12=$11273.28

So, it is quite clear that by purchasing the owned home Emma needs to bear extra cost of $2298.28 per year apart from the yearly expenditure that is property taxes insurance and maintenance which is of 10% of total cost of the house that is $18,500($185000*10%).

Hence, to purchase a house is not feasible and to go for the rent option is more viable for Emma.

7 0
3 years ago
Which of these represents six miles less than twice the original distance?
Alexeev081 [22]
If the original distance is x, then twice the original distance is 2x.
6 less than something means minus six, or -6.
So the answer would be A) 2x-6
7 0
3 years ago
Read 2 more answers
A cube has a surface area of 96 square centimeters. How long is each face of the cube?
netineya [11]

Answer:

I believe the answer would be 4

Step-by-step explanation:

I'm going to use (a) to represent the side length in my explanation. side length is equivalent to the square root of the surface area over 6. The 6 is coming from there being 6 faces on a cube. So to solve this equation, you would first write it out.  a=96/6. Next you would divide 96/6, giving you 16. and then lastly, you would find the square root of 16, which is 4. giving you a final answer of 4.

Hope this helps, and you understand it more!

6 0
3 years ago
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
rusak2 [61]

Answer:

(a) The probability that the thickness is less than 3.0 mm is 0.119.

(b) The probability that the thickness is more than 7.0 mm is 0.119.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.

Step-by-step explanation:

We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.

Let X = <u><em>thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.</em></u>

So, X ~ Normal(\mu=5.0,\sigma^{2} =1.7^{2})

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean thickness = 5.0 mm

           \sigma = standard deviation = 1.7 mm

(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)

    P(X < 3.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{3.0-5.0}{1.7} ) = P(Z < -1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)

    P(X > 7.0 mm) = P( \frac{X-\mu}{\sigma} > \frac{7.0-5.0}{1.7} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X \leq 3.0 mm)

    P(X < 7.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{7.0-5.0}{1.7} ) = P(Z < 1.18) = 0.881

    P(X \leq 3.0 mm) = P( \frac{X-\mu}{\sigma} \leq \frac{3.0-5.0}{1.7} ) = P(Z \leq -1.18) = 1 - P(Z < 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.

4 0
3 years ago
Which is the simplified form of the expression (6^-2•6^5)^-3
Arisa [49]

Answer:

1

Step-by-step explanation:

( {6}^{ - 2}  \times  {6}^{5} ) ^{ - 3}  \\  = ( {6}^{3} )^{ - 3}  \\  =  {6}^{0}  \\  = 1

6 0
3 years ago
Read 2 more answers
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