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1 year ago

Which lines are parallel if M^4 +M^5? Justify your answer.

Mathematics

1 answer:

Igoryamba1 year ago

4 0

Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.

When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel

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A school baseball team raised $810 for new uniforms. Each player on the team sold one book of tickets. There were 10 tickets and

Lena [83]

Answer:

270 tickets were sold
not needed: books per player, tickets per book

Step-by-step explanation:

To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:

(total revenue)/(revenue/ticket) = total tickets

$810/$3 = 270 . . . total tickets

None of the other numbers in the problem are needed: books per player (1), tickets per book (10).

3 0

1 year ago

You roll a colored cube with one white side, two red sides, and three blue sides. What is the expected number of red sides you w

miskamm [114]

Hello!

This is an example of theoretical probability. If you rolled the die 1,000 times, you would probably roll red about 333 times. On average, this is 1/3, and with a die it is 2/6. As you can see, it will be rolled 2/6 of the time on average, so our answer is A) 2.

I hope this helps!

3 0

1 year ago

Read 2 more answers

A large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times

WARRIOR [948]

Answer:

We conclude that the new procedure will not decrease the population mean amount of time required to produce the part.

Step-by-step explanation:

We are given that a large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times follow a normal distribution with mean time μ = 45 hours.

A random sample of 25 parts will be selected and the average amount of time required to produce them will be determined. The sample mean amount of time is = 43.118 hours with the sample standard deviation s = 5.5 hours

Let $\mu$ = population mean amount of time required to produce an electrical part using new procedure

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 45 hours {means that the new procedure will remain same or increase the population mean amount of time required to produce the part}

Alternate Hypothesis, $H_a$ : $\mu$ < 45 hours {means that the new procedure will decrease the population mean amount of time required to produce the part}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }$ ~ $t_n_-_1$

where, $\mu$ = sample mean amount of time = 43.118 hours

s = sample standard deviation = 5.5 hours

n = sample of parts = 25

So, test statistics = $\frac{43.118-45}{{\frac{5.5}{\sqrt{25} } } }$ ~ $t_2_4$

= -1.711

Now at 0.025 significance level, the t table gives critical value of -2.064 at 24 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the new procedure will remain same or increase the population mean amount of time required to produce the part.

4 0

1 year ago

Carly commutes to work, and her commute time is dependent on the weather. When the weather is good, the distribution of her comm

Stels [109]

We are given with
x1 = 20 min
s1 = 2 min

x2 = 30 min
s2 = 4 min

p = 0.9
Condition (x > 25)

We need to get the t-value between the two means and comparing it wit the t-value for the time of 25 minutes given that there is a 90% probability that the weather will be good. Simply use the t-test formula and use the t-test table to get the probability.

8 0

2 years ago

Read 2 more answers

Which expression has a value that is 6 times the value of the expression 63 – 3y?

nikklg [1K]

I think it’s d hope this helps

3 0

2 years ago