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4 years ago

The figure below shows parallel lines cut by a transversal:

Mathematics

1 answer:

Vlada [557]4 years ago

6 0

Answer

<span>∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Hope it helps</span>

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If in fact 15% of the items in shipment are defective, what is the probability of at least 2 defectives in the sample

Mashcka [7]

Posibility it is 20%

3 0

3 years ago

Every summer ,an ice cream stand sells 3 times as many sugar cones as waffle cones. Last year, they sold 288 cones. For the upco

RoseWind [281]

No, because 72*3 is 216. In order for it to be the right amount, the number of sugar cones must be 3 times the amount of the number of waffle cones.

5 0

3 years ago

Read 2 more answers

Describe how you can find the number of solutions of two or more

Len [333]

Answer:

Suppose we have a system of two linear equations, this can be written as:

y = a*x + b

y = c*x + d

Now, we have 3 possible cases here.

The solutions of the system are the points where the graphs of the linear equations do intersect.

Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.

And we know that two lines are parallel if they have the same slope and different y-intercept.

Then the system:

y = a*x + b

y = a*x + c

has no solutions.

If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:

y = a*x + b

y = a*x +b

has infinite solutions.

And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:

y = a*x + b

y = c*x + d

has only one solution.

Now, if we have more equations:

y = a*x + b

y = c*x + d

y = k*x + n

We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.

One case where we have a solution here is if the 3 equations have the same y-intercept:

y = a*x + b

y = c*x + b

y = d*x + b

where the solution is the point (0, b)

Of course, there are other possible solutions, but these are not as formulaic as this ones.

8 0

3 years ago

PLEASE HELP ME! I will mark you as a BRAINLIST!!

disa [49]

The answer is -15

See the attached image for the steps on how I got that answer.

8 0

3 years ago

Find the P-value for a left-tailed hypothesis test with a test statistic of z= -1.55. Decide whether to reject Upper H 0H0 if

nikitadnepr [17]

Answer:

0.0606

Step-by-step explanation:

Given that test statistic for a left tailed test is

z=-1.55

$H_0: \bar x=\mu\\H_a: \bar x < \mu$

Significance level = 0.10

let us find p value from z value

p value for left tailed is

0.060571

Since p value < 0.10 our alpha, we reject null hypothesis.

p value = 0.0606

Conclusion: Reject null hypothesis.

There is statistical evidence to show that sample mean is less than population mean.

8 0

3 years ago