What is the answer for 6x-2y=7

1 answer:

4 0

$6x-2y=7\ \ \ |+2y\\6x=7+2y\ \ \ |:6\\\\\boxed{x=\dfrac{7+2y}{6}}\\\\6x-2y=7\ \ \ \ |-6x\\-2y=7-6x\ \ \ |:(_2)\\\\\boxed{y=3x-3.5}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=3x-3.5\end{array}\right$

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A polling company reported that 33% of 2302 surveyed adults said that they play basketball. Complete parts (a) through (d) be

Evgen [1.6K]

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

$33\% \text{ of } 2302$ = $\frac{33}{100}\times 2302$

= 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

= $\frac{272}{2302}\times 100$ = 11.82% ≈ 12%

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Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable

notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) $Z=2.45$