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2 years ago

Given a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10, find the value of x.

Mathematics

1 answer:

V125BC [204]2 years ago

8 0

Step-by-step explanation:

m∠3+ m∠5 = 180° (co-int angles are supplementary)

5x+ 10 + 3x + 10 = 180° (co-int ∠'s, parallel lines)

8x + 20 = 180

8x = 160

x= 160/8

x= 20°

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Help pls you get 27 points

Trava [24]

Answer:

C. [-5] < [-3] || D. [-4] < [-2]

Step-by-step explanation:

in A. 5 should be greater, > than -3

in B. 2 should be greater, > than -4

in C. its correct answer. true statement.

in D. its correct answer. true statement.

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1 year ago

A 6-sided die is rolled. what is the probability of rolling a number less than 4?

ohaa [14]

1/2

Step-by-step explanation:

All outcomes of a single die= 6

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11 months ago

A random sample of size n1= 25, taken from a normal population with a standard deviation σ1= 5, has a mean X1= 80. A second rand

sesenic [268]

Answer:

The 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X_1 =80$ represent the sample mean 1

$\bar X_2 =75$ represent the sample mean 2

n1=25 represent the sample 1 size

n2=36 represent the sample 2 size

$\sigma_1 =5$ sample standard deviation for sample 1

$\sigma_2 =3$ sample standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =80-75=5$

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.88$

The standard error is given by the following formula:

$SE=\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$

And replacing we have:

$SE=\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=1.118$

Confidence interval

Now we have everything in order to replace into formula (1):

$5-1.88\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=2.898$

$5+1.8\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=7.102$

So on this case the 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

7 0

2 years ago

You noticed that $750 was stolen from your checking account using your debit card, but life being as busy as it is, you didn't r

Mekhanik [1.2K]

Answer:

The answer is: full liability for unauthorized debit charges

Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the card owner's duties and liabilities.

You have to tell your card issuer, either by writing or by phone. This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.

So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a "full liability for unauthorized debit charges."

Thus, this explains the answer.

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2 years ago

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melisa1 [442]

You would need 8.25 cups

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2 years ago

Read 2 more answers

Given a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10, find the value of x.​

Given a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10, find the value of x.