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Solnce55 [7]
2 years ago
10

The lengths of three sides of a triangle are in the ratio 3 : 4 : 5. The perimeter of the triangle is 156 centimeters. What is t

he difference in length between the longest and shortest sides?
Mathematics
1 answer:
julsineya [31]2 years ago
6 0

3x + 4x + 5x = 156

12x = 156

x = 13

3*13 = 39

5*13 = 65

65-39=26 cm difference

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The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
rosijanka [135]

Answer:

y = \frac{1}{3} x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

y + 6 = \frac{1}{3} (x - 9) ← distribute

y + 6 = \frac{1}{3} x - 3 ( subtract 6 from both sides )

y = \frac{1}{3} x - 9 ← in slope- intercept form

3 0
3 years ago
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X + 2x + 12y + 4 Using the expression shown, add like terms and produce an equivalent expression.
Aleksandr-060686 [28]

Answer: 3x+12y+4

Step-by-step explanation:

The only like terms are the x+2x so we add them to get the simplfied answer

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What is the area of the composite figure
deff fn [24]

to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.

first, find the area of the triangle:

multiply 13 and 5 to get 65.

divide 65 by 2.

32.5.

then, find the area of the rectangle:

multiply 5 and 14 to get 70.

add those answers up, and you get:

102.5

3 0
3 years ago
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe
soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of 87, thus \mu = 87.
  • The standard deviation is of 25, thus \sigma = 25.

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

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

Z = \frac{60 - 87}{25}

Z = -1.08

Z = -1.08 has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

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

Z = \frac{110 - 87}{25}

Z = 0.92

Z = 0.92 has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

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

Z = \frac{125 - 87}{25}

Z = 1.52

Z = 1.52 has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

7 0
3 years ago
Could someone please solve this and explain how to do it?
galben [10]

Answer:

no clue buddy sry

Step-by-step explanation:

4 0
3 years ago
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