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4 years ago

Find angle 1 149 degrees 118 degrees 69 degrees 59 degrees

Mathematics

1 answer:

Mandarinka [93]4 years ago

7 0

∠A = 118°

<u>Step-by-step explanation:</u>

By using the property of parallelogram, diagonals bisect each other,

So ∠D = 31° + 31° = 62°

Another property of parallelogram says that,

consecutive angles are supplementary, that is ∠A and ∠D add up to 180 degrees.

Now we have the angle D as 62°, to find A, we can write as,

∠A + ∠D = 180°

∠A + 62° = 180°

It was rewritten to get ∠A as,

∠A = 180° - 62° = 118°

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Write a factored equation that has the solutions x=6 and x=-1

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Answer:

y = (x - 6)(x + 1)

Step-by-step explanation:

Use factored form, y = a(x - r1)(x - r2), where r1 and r2 are roots.

Since the solutions are 6 and -1, plug in these numbers:

y = (x - 6)(x + 1)

So, the factored equation is y = (x - 6)(x + 1)

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The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$