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2 years ago

Find each angle??????????????

Mathematics

1 answer:

katovenus [111]2 years ago

7 0

Answer:

<BAC=58°

<CAD=32°

Step-by-step explanation:

15x-2+7x+4=90

22x+2=90

22x=90-2

22x=88

x=88÷22

x=4

<BAC=15x-2=15(4)-2=60-2=58°

<CAD=7x+4=7(4)+4=28+4=32°

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Can you help me with this please.

Nataliya [291]

Answer:

c, i believe!!

Step-by-step explanation:

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2 years ago

Read 2 more answers

Twice the sum of 13 and x is not greater than 15

Kobotan [32]

Answer:

x = 0

Step-by-step explanation:

This is saying that 2(13x) < 15

If you have 2[13(0)] < 15

It will come to 2(0) < 15

This equals 0 < 15 which is true therefore making the x value = 0

7 0

3 years ago

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

-4 , 5/8 , 3 and 2.9 order the following Greatest to least

sladkih [1.3K]

Answer:

-4, 5/8, 2.9 3

Step-by-step explanation:

7 0

2 years ago

Sorry for the crumbled paper Can someone help me Complete the chart

Verizon [17]

Answer:

4/10, 0.4, 40%

1/4, 0.25, 25%

Hope this helps also "Hi" again. :)

5 0

2 years ago