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miskamm [114]
3 years ago
15

The city is planning to install streetlights and wants five lights along a walkway of 60 yards. if there is a light at the begin

ning and at the end of the walkway and the lights are evenly spaced, what is the distance between each light

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0
If you try to imagine a walkway has a total of 60 yards starting from the first streetlight down to the last streetlight. Knowing that there are a total of five streetlights all in all, that means there are only 3 left to space evenly between the first and the last streetlight. Consequently, there would be four spaces all in all. Please see the picture so that you would understand better.

That means there are 4 evenly spaced lengths measuring to x yards. Therefore,

x = 60/4 = 15 yards

The distance between each light is 15 yards.

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your sister is selling girl scout cookies that cost $4.25 a box. your family bought 6 boxes. how many more boxes of cookies must
Nataly [62]
$4.25 • 6= $25.5
$255-$25.5= $229.5
$229.5/$4.25= 54 boxes of cookies
6 0
3 years ago
An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do
vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

5 0
3 years ago
Whats the best definition<br> of slope
yanalaym [24]

Answer:

The slope of a line is a number that defines the direction + steepness of a linear function. It can be found using the formula rise/run.

Step-by-step explanation:

Not sure how to explain this otherwise but that is what the slope is. ^

8 0
3 years ago
Read 2 more answers
Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
Use the segment tool to draw a rectangle with a length of 4 units and a height of 2 units. one of the sides of the rectangle fal
Naya [18.7K]
The best and most correct answer among the choices provided by the question is the first choice. Move segment mus be done to draw the rectangle. I hope my answer has come to your help. God bless and have a nice day ahead!
6 0
3 years ago
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