PLEASE HELPPPPPPPP

Mathematics

1 answer:

galina1969 [7]3 years ago

6 0

Try expressing the problem in the form of two equations. y, or the first number, is equal to half of (1/2) a second number (x) plus 3:

y = 1/2x + 3

y is also equal to 1/4 of the second number (x) plus 5:

y = 1/4x + 5

An easy way to check using the graph is to compare the y-intercepts. The first equation we came up with has a y-intercept of 3, and the second one has a y-intercept of 5. If you look at the graph, the equations intersect the y-axis at (0, 3) and (0, 5). Check ✓

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ANEK [815]

Answer:

The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157

Step-by-step explanation:

We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.

So z-score for sample proportion q = 0.72

z = $\frac{q - p}{\sqrt{\frac{p(1-p)}{n} } }$ = $\frac{0.72 - 0.75}{\sqrt{\frac{0.75(1-0.75)}{158} } }$ = - $\frac{0.03}{0.0344}$ = - 0.872