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3 years ago

Estimate the quotient 67 divide 4

1 answer:

7 0

4 goes into 67 16 times when whole, with a remainder of 3.

That 3 makes the quotient 16.75
If rounding to the next whole number, 17.
If rounding to the ones place, 16.8

:D

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What is the final elevation if a bird starts at 20 m and changes 16 m?

charle [14.2K]

Answer:

36 meters

Step-by-step explanation:

The bird starts at 20 and (assuming it goes up) increases by 16 meters. You have to add to get 36. However, if the bird flies 16 meters down, the answer would be four meters. The answer 36 is assuming the bird flies upward.

5 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

HELP PLS ASAP! i uploaded a picture of the question. ;-;

stepladder [879]

Answer:

Quarter 2

Explanation:

Quarter 1 had a 4.19505% increase in earnings, but quarter 2 had a 11.586% increase.

7 0

3 years ago

Simplify the following fraction (9/16/1/4)-1/5

german

Answer: $\frac{41}{20}$

Step-by-step explanation:

The first step is to make the division of the fractions $\frac{9}{16}$ and

$\frac{1}{4}$ . To do this, you can flip the fraction $\frac{1}{4}$ over and multiply the numerators and the denominators of the fractions. Then:

$(\frac{\frac{9}{16}}{\frac{1}{4}})-\frac{1}{5}=(\frac{9}{16}*4)-\frac{1}{5}=\frac{36}{16}-\frac{1}{5}$

Reduce the fraction $\frac{36}{16}$ :

$=\frac{9}{4}-\frac{1}{5}$

Now you can make the subtraction: in this case the Least Common Denominator (LCD) will be the multiplication of the denominators. Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

$=\frac{45-4}{20}=\frac{41}{20}$

6 0

3 years ago

Solve for x. (x - 4)(x - 4) = 0

statuscvo [17]

I believe that x=4 would be the answer

5 0

3 years ago

Read 2 more answers