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Naddika [18.5K]
3 years ago
8

The width of a rectangle is 3 meters less than the length period the perimeter is 14 meters. Find the width

Mathematics
1 answer:
beks73 [17]3 years ago
3 0
The width of the rectangle is 2 meters
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The television station has received/A many complaints about/B
NARA [144]

<u>The television station has received/A many complaints about/B the clothing advertisements, which some/C viewers condemn to be/D </u><u>tasteless</u><u>. No error/E</u>

The correct option is D.

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  • Well, you could mean that  Writing Question is a 'trick one' .

What is a television station called?

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6 0
2 years ago
Find the value of x for which l is parallel to m.
lozanna [386]

I think its the same on both sides so it would be 154 hope this helps and is right have a nice day

8 0
2 years ago
When we toss a coin, there are two possible outcomes: a head or a tail. Suppose that we toss a coin 100 times. Estimate the appr
marin [14]

Answer:

96.42% probability that the number of tails is between 40 and 60.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

100 tosses, so n = 100

Two outcomes, both equally as likely. So p = \frac{1}{2} = 0.5

So

E(X) = np = 100*0.5 = 50

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5

Estimate the approximate probability that the number of tails is between 40 and 60.

Using continuity correction.

P(40 - 0.5 \leq X \leq 60 + 0.5) = P(39.5 \leq X \leq 60.5)

This is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 39.5. So

X = 60.5

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

Z = \frac{60.5 - 50}{5}

Z = 2.1

Z = 2.1 has a pvalue of 0.9821

X = 39.5

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

Z = \frac{39.5 - 50}{5}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.9821 - 0.0179 = 0.9642

96.42% probability that the number of tails is between 40 and 60.

8 0
2 years ago
X = 6 y = - 3 A. Neither B. Parallel C. Perpendicular
9966 [12]

the answer is (a)neither

8 0
3 years ago
What are two fractions between 3/5 and 4/5
Scrat [10]
Two fractions between 3/5 and 4/5 are 13/20 and 11/15
6 0
3 years ago
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