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Bond [772]
3 years ago
6

State which measure of center, or measure of spread, represents the situation. A company finds the difference between the lighte

st and the heaviest packages it ships.
Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
The difference between the minimum data point and the maximum data point is called the range. This is a measure of spread.
Other measures of spread include the interquartile range/IQR, which helps eliminate outliers, the standard deviation, and the mean absolute deviation. Measures of central tendency include the mean, median & mode.

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A mixture of alcohol and water contains a total of 50 ounces of liquid. There are 10 ounces of pure alcohol in the mixture. What
suter [353]
20% is alcohol and 80% is water hope this helped
5 0
3 years ago
Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?
frosja888 [35]
Y=(kx)/z


15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

x=20
z=6
y=(6*20)/6
y=20
8 0
3 years ago
Laura spends 23 of her vacation in Texas and the remaining 9 days in Florida.
QveST [7]

She spends 14 days in Texas

4 0
3 years ago
Please help me and show your working out thank youu
slava [35]

Answer:

Step-by-step explanation:

mm = 1357

m = 1.357

cm = 135.7

5 0
3 years ago
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