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3 years ago

1)) Click on the obtuse angle. L

Mathematics

2 answers:

Luba_88 [7]3 years ago

7 0

Answer: 2
How to: Must be larger than 90, smaller than 180

Hope that helps :)

lutik1710 [3]3 years ago

5 0

Answer:

second option is the answer

obtuse angle means the angle is larger than 90 degrees

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Eric is saving $60 every week to buy a new laptop that costs $480. He has already saved $180.

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Answer:

Step-by-step explanation:

You saved $200 on a laptop you purchased online. If this was a 25% savings from the original price, find the original cost of the laptop.

13,962 results

Math

You saved $200 on a laptop you purchased online. If this was a 25% savings from the original price, find the original cost of the laptop.

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3 years ago

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What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?

Trava [24]

Answer:

The value of the expression would be 11.

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

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3 years ago

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I need help!! I don’t know which one it is. Which point is closest to point A? Point__

aleksandrvk [35]

Answer:

Point D

Step-by-step explanation:

The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.

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2 years ago

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3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li

stira [4]

Answer:

There are 20,000 milligrams chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

The volume of water in the swimming pool is 8000 gallons.

Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be $x.$

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, $x$ is equivalent to $8000.$

Now, to get the quantity of chlorine by using cross multiplication method:

$\frac{2.5}{1} =\frac{x}{8000}$

By cross multiplying we get:

$20000=x\\\\x=20,000\ mg.$

Therefore, there are 20,000 milligram chlorine in the pool.

6 0

3 years ago