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3 years ago

Line A is represented by the following equation: x + y = 2

1 answer:

5 0

A system of linear equations will have no solution when the two lines making up the equation are parallel. Here, a system having x + y = 2 will have no solution if the second equation is x + y = a. where a is any real number.

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State the type of angles and solve for the given variable.

Evgen [1.6K]

Step-by-step explanation:

the given pair is Alternate Exterior Angle

so their values are equal so,

→ 2x + 26 = 3x - 33

→ 2x - 3x = -33 - 26

→ x = 59

therefore option C is correct

hope this answer helps you dear...take care and may u have a great day ahead!

6 0

2 years ago

In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 40 lb. weight if the bar is 9

creativ13 [48]

So...we can write eqn as

40x = 50(x-1)
so. -10x=-50
so. x=5

therefore .... the distance of 40 lb will be 5 ft ...answer !!!

4 0

3 years ago

Read 2 more answers

Which are partial products for 68 × 43?

blagie [28]

Partial products are the products obtained during the intermediate stages in order to complete a multiplication process.

Consider 68 $\times$ 43, we have to determine the partial products in this.

Now, $68 \times 43$

Expanding this, we get

$(60+8) \times (40+3)$

= $(60\times 40) +(60 \times 3) + (8 \times 40) + (8 \times 3)$

= 2400 + 180 + 320 + 24

= 2924

Hence, $8 \times 40=320$ and $8 \times 3 = 24$ are the required partial products in the product of 68 and 43.

So, Option 3 and 4 are the correct answers.

3 0

2 years ago

What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.

Musya8 [376]

Answer:

8.08%

Step-by-step explanation:

Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.

Answer:

Given that:

Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2

The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$ , where x is the raw score.

If the sample size (n) is taken then the z score is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }$

Therefore for this problem the z score is:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41$

From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%

5 0

3 years ago

What is thermodynamics

Art [367]

Answer:

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation.

4 0

2 years ago