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Grace [21]
3 years ago
9

Evaluate the expression.

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

98 is the answer of the expression

Step-by-step explanation:

AS it is a simple algebraic expression so these are solved by BDMAS rule which means that we have to solve the brackets first starting from the smaller bracket first which is inside a larger bracket then we will move to Division then multiplication then addition and then subtraction


so the following equation can be written as

= 2^{3}[\frac{1}{4}+4(36/12)]

First of all solving smallest bracket and division inside it

= 2^{3}[\frac{1}{4}+4(3)]

Multplying 4 inside

= 2^{3}[\frac{1}{4}+12]

Now solving the 2³

= 8[\frac{1}{4}+12]

Now solving the expression inside the bracket by taking LCM

= 8[\frac{1 + 4*12}{4}]

= 8[\frac{1 + 48}{4}]

= 8[\frac{49}{4}]

Now multiplying 8 with inside values

= [\frac{8*49}{4}]

AS 8 cuts out with 4 so

= 2 * 49

= 98

which is the answer of the expression



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If 9a+6b+4c=7, what is -24b-16c-36a
Alexandra [31]

Answer:

-24b - 16c - 36a = -28

Step-by-step explanation:

Given the initial equation of 9a + 6b + 4c = 7 and looking at the second equation of -24b - 16c - 36a, I notice that all of the coefficients of the variables have been multiplied by a factor of -4.  Since all of the factors have been multiplied by the same factor, multiplied the answer to the equation by a -4 as well will give us the answer to the problem.  Since the original answer is 7, multiplying this answer by a factor of -4:  (7)(-4) = -28.  

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3 years ago
The digits from the serial number of a dollar bill are listed below.<br><br> 6,8,5,8,2,8,5,8
Mandarinka [93]

Answer:

8 occurs most often so the number is 8.

4 0
3 years ago
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In a recent poll, 370 people were asked if they liked dogs, and 7% said they did. Find the margin of error of this poll, at the
Dennis_Churaev [7]

Answer:

ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218

Step-by-step explanation:

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".  

p represent the real population proportion of interest

\hat p=0.07 represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

z represent the critical value for the margin of error

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.10 and \alpha/2 =0.05. And the critical value would be given by:  

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And replacing into formula (a) the values provided we got:

ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218

The margin of error on this case would be ME=0.0218

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