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3 years ago

Need help with this question

Mathematics

1 answer:

Naddik [55]3 years ago

4 0

Easiest way to graph the line is to connect the intercepts.

-50x - 3y = -1500
-3y = 50x - 1500
y = (-50/3)x + 500
y intercept (0, 500)

-50x - 3(0) = -1500
-50x = -1500
x = 300
(300, 0)

make a line that goes through the points (0, 500) and (300, 0)

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Question 2 (1 point)

KIM [24]

Answer:

first week = m miles

second week = 6 miles less than triple the number of miles they ran the

first week.

Triple of the number of miles they ran the first week = 3 * m = 3m

Therefore = 3m - 6

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3 years ago

Number of twitter followers

kolbaska11 [484]

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3 years ago

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Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

<em>Hence, the variance is 0.01</em>

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3 years ago

What is 33 x 25 by multiplying using partial products

iris [78.8K]

The answer is 825

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3 years ago

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A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as

Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

$x\ge 2y$

2. A florist can make a grand arrangement in 18 minutes $=\dfrac{3}{10}$ hour, then he can make y arrangements in $\dfrac{3}{10}y$ hours.

A florist can make a simple arrangement in 10 minutes $=\dfrac{1}{6}$ hour, so he can make x arrangements in $\dfrac{1}{6}x$ hours.

The florist can work only 40 hours per week, then

$\dfrac{3}{10}y+\dfrac{1}{6}x\le 40$

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines $x=2y$ and $\dfrac{3}{10}y+\dfrac{1}{6}x=40$

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

$\$(10\cdot 126+25\cdot 63)=\$2,835$

8 0

3 years ago