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3 years ago

Write -93.74 as a mixed number.

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

3 0

As a mixed number, -93.74 would be -93 74/100 or -93 37/50

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In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected.

Phoenix [80]

Answer:

c. 60

Step-by-step explanation:

Given

$n = 61$ --- sample

$\bar x = 23$

Required

Determine the degrees of freedom (df)

This is calculated as:

$df = n - 1$

$df = 61 - 1$

$df = 60$

8 0

3 years ago

Problem Solving<br> Find the exact solution of each equation for 0 < theta < 2 pi

horrorfan [7]

Answer:

C) $\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$

Step-by-step explanation:

$sin^2\theta=\frac{1}{2},\: 0\leq\theta\leq2\pi\\ \\\frac{1-cos(2\theta)}{2}=\frac{1}{2}\\ \\1-cos(2\theta)=1\\\\cos(2\theta)=0\\\\2\theta=\frac{\pi}{2}+\pi n\\ \\\theta=\frac{\pi}{4}+\frac{\pi}{2}n\\ \\ \theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$

Recall the identity $sin^2\theta=\frac{1-cos(2\theta)}{2}$

5 0

2 years ago

Stella graphed y = 100 - 25/3 * x to represent the percentage of battery life remaining on her phone after x hours. What is a re

Leya [2.2K]

Answer:

from 0 to 12 hours, that is $0\leq x\leq 12$

Step-by-step explanation:

Notice that the x represents the number of phone hours used, therefore it has to be a number larger or equal zero, but NOT a negative number.

So on one end we have that the number of phone hours used (x) must be larger or equal zero: $x\geq 0$

On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

$y=0=100-\frac{25}{3} x\\\frac{25}{3} x=100\\25 x = 100*3 = 300\\x = \frac{300}{25} = 12$

Therefore, the upper limit for the number of usable phone hours is 12 hours.

Then we write:

$0\leq x\leq 12$ hours

4 0

3 years ago

The figures below are similar. Find the value of x. Have a good day

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The ratio is 1:2

The longer side ratio is 4:8 so that is how I got it

The shorter side would be 2:X. X=4

4 0

4 years ago

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Find f(x) and g(x) so that the function can be described as y= f(g(x)) y=9/x^2 + 2

fgiga [73]

\left[y \right] = \left[ 0\right][y]=[0] I hope helping with u

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3 years ago