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3 years ago

Elections In a mayoral election, the number of votes for the incumbent was

1 answer:

ozzi3 years ago

5 0

$100\%+25\%=125\%=\frac{125}{100}=1.25\\\\x;y-number\ of\ votes\ cast\ for\ candidates\ for\ mayor\\\\ \left\{\begin{array}{ccc}x=1.25y\\x+y=5175\end{array}\right\\\\subtitute:\\\\1.25y+y=5175\\2.25y=5175\ \ \ \ |divide\ both\ sides\ by\ 2.25\\\boxed{y=2300}\\\\x=1.25\times2300=2875\\\\Answer:\boxed{\boxed{2875}}$

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In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hir

Ede4ka [16]

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}= p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

(a)

The sample selected is of size <em>n</em> = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0204^{2})$ .

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.96$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size <em>n</em> = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0306^{2})$ .

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.31$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

6 0

3 years ago

Y is directly proportional to x when y=30, x=6

rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

4 0

3 years ago

The highest scorer of the women's basketball championship was Jessica Bradley. She scored more points than Tina Harner, her te

Arisa [49]

Answer:

Jessica Bradley - 856 Points

Tina Harner - 707 Points

Step-by-step explanation:

FULL QUESTION:

The highest scorer of the women's basketball championship was Jessica Bradley. She scored 149 more points than Tina Harner, her teammate. Together, Bradley and Harner scored 1563 points. How many points did each player score during the championship?

Let T = points scored by Tina Harner

J = points scored by Tina Harner

She scored 149 more points than Tina Harner, her teammate. This means;

J = T + 149...........(i)

Together, Bradley and Harner scored 1563 points. This means;

J + T = 1563 .........(ii)

How many points did each player score during the championship?

We have to find T and J.

Substitute value of J from eqn (i) into eqn (ii)

T + 149 + T = 1563

2T = 1563 - 149 = 1414

T = 1414 / 2 = 707

J = 707 + 149 = 856

Jessica Bradley - 856 Points

Tina Harner - 707 Points

3 0

3 years ago

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best repres

masya89 [10]

x represents the minutes and y shows how many gallons over that time.

5 0

3 years ago

A Euler circuit has ___ ODD vertices

xenn [34]

Answer:

A Euler circuit has TWO ODD vertices

Step-by-step explanation:

4 0

3 years ago