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3 years ago

The length and width of a rectangular frame is 15 inches and 8 inches.What is the length of the diagonal of this frame

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

The length of the diagonal of the frame equal 17 inches

Step-by-step explanation:

The diagonal dividing the rectangle as made the rectangle 2 triangles

So according to Pythagoras Theorem,

Hypothenus² = opposite² + adjacent²

The diagonal lent is the Hypothenus.

so the two other sides are taking as opposite and adjacent respectively

so taking h as hypothenus,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17

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Find the area of the shape

Oliga [24]

Answer:

27 pi

Step-by-step explanation:

First find the area of a circle

A = pi r^2

A = pi ^^2

36 pi

We know this is 3/4 of a circle so multiply the area by 3/4

3/4 * 36 pi

27 pi

6 0

4 years ago

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

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 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 fo

defon

Answer:

Y=10x-250

Step-by-step explanation:

We can treat this problem like we are attempting to graph a line from 2 points (hopefully you know how to do that)

the two points are (40,150)(55,300)

7 0

3 years ago

Line e has a slope of 7/4 line f is parallel to line e what is the slope for line f

Ugo [173]

Answer:

line f has a slope of -7/4

Step-by-step explanation:

parallel line always have opposite slopes

6 0

4 years ago

Read 2 more answers

An arc that measures 180 degrees is called a

Aleks04 [339]

An arc that measures 180 degrees is called a semicircle.

If it measures less than 180 it’s a minor arc.

If it measures greater than that it’s called a major arc

6 0

3 years ago