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3 years ago

Use the substitution method to solve the following system of equations:

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

4 0

The answer is (1,1). If you need an explanation why I will be happy to help :)

nadezda [96]3 years ago

4 0

the answer to this question is 1,1

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The diameter of a circle is 6.8 m. Find the circumference to the nearest tenth<br>

matrenka [14]

Answer:

21.4m

Step-by-step explanation:

Circumference : x diameter

is approximately 3.142

3.142 x 6.8 = 21.3656

Nearest tenth = 21.4m

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2 years ago

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3 years ago

A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib

fenix001 [56]

Answer: 0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = $\mu=50\times190=9500\text{ pounds}$

Standard deviation of 50 people $=\sigma=40\sqrt{50}=40(7.07106781187)=282.84$

Then , the probability its maximum safe load will be exceeded =

$P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855$

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0

4 years ago

10) The line FG is a diameter of the circle with centre C (6, 1). Given F is (2.-3), find the coordinates of G.

Maurinko [17]

Answer:

Coordinates of the endpoint g is (10,5)

Step-by-step explanation:

The coordinates of a midpoint can be found using the formula;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

In this case, we have the mid point but we want to get the end point

Thus;

(6,1) = (x1 + 2)/2 , (y1-3)/2

x1 + 2 = 2(6)

x1 + 2 = 12

x1 = 12-2

x1 = 10

y1 - 3 = 2(1)

y1 -3 = 2

y1 = 2 + 3

y1 = 5

The coordinates of G are (10,5)

6 0

3 years ago

10. Use substitution to solve the system of equations below.<br> - x + 2y = 5<br> 3x - 5y =-11

Liula [17]

Answer:

the answer for y is 4 and x is 3

y=4

x=3

6 0

3 years ago