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3 years ago

HELP ASAP

Mathematics

2 answers:

Zarrin [17]3 years ago

7 0

45.3 I think good luck

Aleks04 [339]3 years ago

6 0

Answer:

The correct angle is 45.3°

Step-by-step explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to $\frac{32}{45}$ . To find the value of x, take the arcsin of both sides and you'll get that $x = arcsin(\frac{32}{45})$ ⇒ $x$ ≈ 45.3°.

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Read 2 more answers

Tickets to the zoo cost $12 for adults and $8 for children. The school

larisa [96]

Answer:

Step-by-step explanation:

Given

$240 = 12x + 8y$

Required

Plot a graph

First, we need to determine the minimum and maximum values of x and y

For x:

Minimum = 0

For maximum; Let y = 0

$240 = 12x + 8y$

$240 = 12x + 8 * 0$

$240 = 12x$

Solve for x

$x = 240/12$

$x = 20$

For y:

Minimum = 0

For maximum; Let x = 0

$240 = 12x + 8y$

$240 = 12 * 0 + 8 * y$

$240 = 8y$

Solve for y

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See Attachment for graph

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3 years ago

The thompson's need their garage door opener repaired. the table shows the service charge and hourly labor fees for two repair c

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3 years ago

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.

SVEN [57.7K]

Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Step-by-step explanation:

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.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that $\mu = 73.5, \sigma = 5.1$

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

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

$Z = \frac{69 - 73.5}{5.1}$

$Z = -0.88$

$Z = -0.88$ has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

3 0

3 years ago