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3 years ago

Find the value of a in the diagram of the right triangle. Round to the nearest tenth.

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

The answer is the option B

$a=24.2\ in$

Step-by-step explanation:

we know that

In the right triangle of the figure

$sin(27\°)=\frac{11}{a}$

Solve for a

$a=\frac{11}{sin(27\°)}$

$a=24.2\ in$

You might be interested in

Is the inequality always, sometimes or never true?

statuscvo [17]

In order to understand if the inequalities are always, never or sometimes true, you need to perform the calculations:

A) <span>9(x+2) > 9(x-3)
9x + 18 > 9x - 27
the two 9x cancel out and you get:
+18 > -27
which is always true.

B) <span>6x-13 < 6(x-2)
6x - 13 < 6x - 12</span>
</span><span>the two 6x cancel out and you get:
- 13 < -12
which is always true

C) </span><span>-6(2x-10) + 12x ≤ 180
-12x +60 +12x </span>≤ 180
-12x and +<span>12x cancel out and you get:
60 </span><span>≤ 180
which is always true.

All three cases are always true.</span>

3 0

3 years ago

A flush is five cards of the same suit. Find the probability of pulling 5 cards from a deck and getting a flush.

ValentinkaMS [17]

Answer:

0.00198079

Step-by-step explanation:

6 0

3 years ago

A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The s

Fofino [41]

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In this question, we have that:

$\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2$

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when $X = 260$ . So

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{260 - 270}{21.2}$

$Z = -0.47$

$Z = -0.47$ has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

5 0

3 years ago

Russ is solving an equation where both sides are linear expressions. he sets the expressions equal to y and graphs the system fi

Dafna1 [17]

The correct option (D).

There are infinitely many intersection points.

<h3>What is liner equation?</h3>

a two-variable equation that, when plotted on a graph, results in a straight line.

<h3>What does intersection point mean?</h3>

The term "point of intersection" refers to the intersection of two lines.

<h3>According to the given information:</h3>

Russ is attempting to solve an equation whose two sides are both linear expressions.

He graphs the system and finds that they are on the same line after setting the expressions to y.

Since both lines are the same, there are an endless number of junction places.

Russ should therefore consider the outcome to be option (D) There are a limitless number of intersections.

To know more about intersection points and linear equations visit:

brainly.com/question/16982453

#SPJ4

I understand that the question you are looking for is:

Russ is solving an equation where both sides are linear expressions. He sets the expressions equal to y and graphs the system finding that they are the same line. How should Russ interpret this outcome? There are no intersection points. There is exactly one intersection point. There are exactly two intersection points. There are infinitely many intersection points.Russ is solving an equation where both sides are linear expressions. He sets the expressions equal to y and graphs the system finding that they are the same line. How should Russ interpret this outcome?

A. There are no intersection points.

B. There is exactly one intersection point.

C. There are exactly two intersection points.

D. There are infinitely many intersection points

3 0

1 year ago

I need the answer it hrs math

ch4aika [34]

Answer:

(1/2,0)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers