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Likurg_2 [28]
3 years ago
6

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
2 answers:
olga_2 [115]3 years ago
6 0

Answer:

10

Step-by-step explanation:

\sin 30\degree = \frac{5}{x}\\\\ \frac{1}{2}= \frac{5}{x}\\\\x = 5\times 2\\\\x = 10 \\

hram777 [196]3 years ago
5 0

Officer: "How old was she?!"

Seggs Defender: ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar
a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1200, \sigma = 60

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

Z = \frac{X - \mu}{\sigma}

-2.325 = \frac{X - 1200}{60}

X - 1200 = -2.325*60

X = 1060.5

The bulbs should be replaced each 1060.5 days.

4 0
3 years ago
The equations of four lines are given. Identify which lines are parallel.
Stella [2.4K]
Lines 2 & 3 are parallel.
7 0
3 years ago
Kelly is making a chart to show her parents that the number of minutes she spoke on her cell phone decreased over the last 5 mon
Arturiano [62]
The choice isB
all the numbers in that choice decrease in numerical order
4 0
3 years ago
Determine whether the random variable is discrete or continuous. a. The distance a baseball travels in the air after being hit.
vodomira [7]

Answer and explanation:

Discrete random variables can be counted as integers and you can't divide them. Continuous random variables are counted as real numbers and are magnitudes that can´t be counted as an exact number (there will always be an uncertainty in the measurement).

a. The random variable is continuous. Distance is a measurement.

b. The random variable is discrete. You can count how many people are sitting at a computer.

c. The random variable is continuous. Weight is a measurement.

d. The random variable is discrete. You can count how many fishes were caught.

e. The random variable is discrete. You can count how many hints a web site had.

7 0
3 years ago
Is 2 tons and 500 pounds equivalent to 2 1/4 tons?
mixas84 [53]

Answer: Yes

Step-by-step explanation:

1 ton = 2000 pounds and 500 is 1/4 of 2000

5 0
4 years ago
Read 2 more answers
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