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3 years ago

Which expression is equivalent to 1/3b - 7?

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

4 0

The answer Is 1/3(b-21)

olga55 [171]3 years ago

3 0

Answer:

$\dfrac{1}{3}(b-21)$

Step-by-step explanation:

We need to find an equivalent expression for $\dfrac{1}{3}b-7$

The denominator of first fraction is 3 and that of other is 1.

$\dfrac{1}{3}b-7\\\\=\dfrac{b-21}{3}$

$=\dfrac{1}{3}(b-21)$

Hence, the equivalent expression is $\dfrac{1}{3}(b-21)$ .

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Carl is making the kite shown (shorter sides measure 24 inches) with a perimeter of 120 inches

elena-14-01-66 [18.8K]

Answer:

To solve for x the equation would be. (120 - 48) ÷ 2 = X

Step-by-step explanation:

This is because to follow pemdas you do the parenthesis first so you subtract both of the shorter sides. Next since there are two longer sides you divide by two to get the answer. Each longer side is equal to 36 inches.

Hope this helps

6 0

3 years ago

olga nikolaevna [1]

Answer:

the answer is 18 cm

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$