1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
3 years ago
10

Evaluate the expression 12.6 (2-3) + 2^6 divided by 4

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

\bf 12.6(2-3)+2^6 \div 4\implies \stackrel{\mathbb{P~E~M~D~A~S}}{12.6(\stackrel{\stackrel{2-3}{\downarrow }}{-1})}+2^6\div 4\implies 12.6(-1)+\stackrel{\stackrel{2^6}{\downarrow }}{64}\div 4 \\\\\\ \stackrel{\stackrel{12.6(-1)}{\downarrow }}{-12.6}+64\div 4\implies -12.6+\stackrel{\stackrel{64\div 4}{\downarrow }}{16}\implies \stackrel{\stackrel{-12.6+16}{\downarrow }}{3.4}

You might be interested in
The air temperature in the North Pole in the morning was 3 degrees Celsius. By 10:00 am the temperature dropped 12 degrees. By n
WINSTONCH [101]

Answer: -11 degrees Celsius

Step-by-step explanation:

First you subtract 3-12 leaving -9 then you add positive 5 to -9 giving you -4 then add 9 to equal 5 and lastly 5- 16 to get -11.

3 0
3 years ago
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard d
bagirrra123 [75]

The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

<h3>
How to find the confidence interval for population mean from large samples (sample size > 30)?</h3>

Suppose that we have:

  • Sample size n > 30
  • Sample mean = \overline{x}
  • Sample standard deviation = s
  • Population standard deviation = \sigma
  • Level of significance = \alpha

Then the confidence interval is obtained as

  • Case 1: Population standard deviation is known

\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}

  • Case 2: Population standard deviation is unknown.

\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}

For this case, we're given that:

  • Sample size n = 90 > 30
  • Sample mean = \overline{x} = 138
  • Sample standard deviation = s = 34
  • Level of significance = \alpha = 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).

At this level of significance, the critical value of Z is: Z_{0.1/2} = ±1.645

Thus, we get:

CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90]

Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

Learn more about confidence interval for population mean from large samples here:

brainly.com/question/13770164

3 0
2 years ago
An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on
Ronch [10]

Answer:  C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let \mu be the population mean .

As per given , we have

H_0:\mu=50\\\\ H_a: \mu

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

Also, it is given that ,

n= 48

\overline{x}=46

s= 10

t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value =t_{\alpha,df}=t_{0.025,47}=2.0117

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

4 0
3 years ago
Kevin uses 84 fluid Ounces of water to make an all-purpose cleaner. The directions
DIA [1.3K]

Answer:

he should use 6 fluid oz

Step-by-step explanation:

5 0
4 years ago
Plz help A right triangle has legs with lengths 7 cm and 24 cm.
Lelechka [254]
C²=A²+B²
C²= 7² + 24²
C²= 49 + 576
C²= 625
C=√625
C=25

6 0
3 years ago
Read 2 more answers
Other questions:
  • 3c - 8c + 7 = -18 <br><br> Please help
    12·1 answer
  • Y = -1/5x + 3 ; (2,8)
    10·1 answer
  • Solve 2x - 5 = 2x + 4x - 12 plz :)
    9·2 answers
  • The area (A of a circle with a radius of ris given by the formula A = 772 and its diameter (d) is given by d = 27. Arrange the e
    5·1 answer
  • a sample from a mummified bull was taken from a certain place. The sample shows that 71% of the carbon-14 still remains. how old
    9·1 answer
  • Then value of gold is appreciating 18% every hour you were lucky enough to have gold coin which was worth $40 at the beginning o
    15·1 answer
  • Determine the value of X
    11·1 answer
  • The distance between City A and City B is 500 miles. A length of 1.8 feet represents this distance on a certain wall map. City C
    5·1 answer
  • 2[32-(4-1)³] answer.​
    6·1 answer
  • $250 invested for 5 years at 8% per annum
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!