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Alecsey [184]
3 years ago
12

A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? Show your reasoning.

Mathematics
1 answer:
snow_lady [41]3 years ago
5 0

Answer:

Step-by-step explanation:

5 gallons  is 1/10 of 50 gallons; this is 10% of capacity.

30 gallons    30/50, or 60%

45 gallons     45/50, or 90%

100 gallons                    200%

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If Jake drove 3/4 of the 128-mile trip, how many miles did he drive?
Gnoma [55]
3/4*128=96
He drove 96 miles
7 0
3 years ago
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Write an equation in standard form of the line passing through the points (3,3) and (-3,5)
Korvikt [17]

Answer:

The equation of line AB  with points (3,3) and (-3,5) is given as

: x + 3y = 12

Step-by-step explanation:

Here, the given points are A (3, 3) and B (-3,5).

Now, slope of any line is given as :

m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{5-3}{-3 - 3}   = \frac{2}{-6}  = -\frac{1}{3}

Hence, the slope of the line AB is (-1/3)

Now , A POINT SLOPE FORM of an equation is

(y - y0)  = m (x - x0) ; (x0, y0)  is any arbitrary point on line.

So, for the point (3,3) the equation of the line is

y - 3y-3 = -\frac{1}{3} (x-3)   \implies 3y - 9 = 3 -x

Hence, the equation of line AB  with points (3,3) and (-3,5) is given as:

x + 3y = 12

8 0
3 years ago
Given that parallelogram ABCD and angle D=145 what is the measure of angle C
stiv31 [10]
Opposite angles of parallelogram are equal.
sum of interior angles of parallelogram is 360 degrees.

Therefore,
A + B + C + D = 360
x + 145 + x + 145 = 360 
x = 35
Therefore angle C is 35 degrees 
8 0
3 years ago
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Exercise 6.13 presents the results of a poll evaluating support for the health care public option in 2009, reporting that 52% of
sleet_krkn [62]

Answer:

A sample size of 6755 or higher would be appropriate.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error M is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

52% of Independents in the sample opposed the public option.

This means that p = 0.52

If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?

Sample size of size n or higher when M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.645\sqrt{\frac{0.52*0.48}{n}}

0.01\sqrt{n} = 0.8218

\sqrt{n} = \frac{0.8218}{0.01}

\sqrt{n} = 82.18

\sqrt{n}^{2} = (82.18)^{2}

n = 6754.2

A sample size of 6755 or higher would be appropriate.

3 0
3 years ago
Goood morning here is your monday morning pts
nignag [31]
Thank u very much :)
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3 years ago
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