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Andrew [12]
3 years ago
11

The length of a city’s bus routes are normally distributed with a mean of 14.5 mi and a standard deviation of 3.2 mi.

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
Thank you for posting your question here at brainly. Please see below answer:

a) What percentage of city bus routes are less than 15 mi? 
56.20820167 ≈ 56.2%

b)What percentage of city bus routes are greater than 20 mi? 
4.282995170  ≈ 4.3 %

c) What percentage of city bus routes are less than 10 mi?
<span>7.98 ≈ 7.98 %</span>
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John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled
Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

<h3>What is a slope?</h3>

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

y= -\frac{2}{5}x+20\\

The slope is, -\frac{2}{5} and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

#SPJ9

4 0
1 year ago
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
kirza4 [7]

Okay follow these patterns and you will always get your answer

Cone = (13)πr2h, where r is the radius and h is the height.

Cube = s2, where s is the length of the side.

Cylinder = πr2h, where r is the radius and h is the height.

Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.

Sphere = (43)πr3, where r is the radius.

ANSWER: (D) 904.78 cm^3

5 0
2 years ago
Given f() = 3x – 29<br> Find f (4)
julia-pushkina [17]
Sub in 4 as x
3(4) - 29
= -17
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3 years ago
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Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.
frutty [35]

Answer:

Kayla is correct The center is a fixed  point in the middle of the sphere

Step-by-step explanation:

In mathematics we have certain habit of rules for notation of points, coordinates, segments, angles and so on.

Usually we denote points,  by letters even more we denote with the first letter of the object we are denoting

Occasionally, we also denote  segments as radius in a circle and in a sphere, with letters,  that is r stands for  radius, h stands for height, in most cases we denote point for capital letters ( in a segment)  

When we denote radius, with small letter it should be placed at the center or over the segment we are traying to denote.

For points we only need to place the letter close to the to the point we want to denote.

Therefore Kayla is correct when says that c stand for " the center of the sphere"

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3 years ago
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Natasha_Volkova [10]
The answer is D and it's pretty simple to do:

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3 years ago
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