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Elis [28]
3 years ago
11

The cost our summer school trip is $17 per students plus a $175 fee for the bus. 1) Write a linear equation for the total cost o

f the trip?2) what will the total cost be if 28 students go to the trip? 3) how many students attempted the trip if the total cost was $889?
Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

Step-by-step explanation:

1)         17x + 175 = y

2)        17(28) + 175 = y

           476 + 175 = y

           651 = y

           Cost for bus and 28 students is $651

3)        889 - 175 = 714

           714/ 17 = 42

           42 students attempted the trip

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A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level
cupoosta [38]

Answer:

The sample required is  n = 135

Step-by-step explanation:

From the question we are told that

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Given that the confidence level is  99%  then the level of  significance is mathematically evaluated as

         \alpha =  100-99

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        \alpha =  0.01

Next we will obtain the critical value  \frac{\alpha }{2} from the normal distribution table(reference  math dot armstrong dot edu) , the value is  

             Z_{\frac{\alpha }{2} } =  Z_{\frac{0.05 }{2} } =  2.58

The  sample size is mathematically represented as

          n = [ \frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ]^2

substituting values

           n = [ \frac{ 2.58 *  9 }{2} ]^2

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3 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
Ksju [112]

Answer:

3.162 units

Step-by-step explanation:

First identify the points that undergo transformation

You have;

A = (0,0)   and B =(1,3)

The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.

<u>Finding coordinates of the image points A' and B' </u>

A'= (0+2,0+1) = (2,1)

B'=(1+2, 3+1)=(3,4)

<u>Finding the distance A'B'</u>

The formula for distance d is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where

x₁=2

x₂=3

y₁=1

y₂=4

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Applying the formula

d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162

The distance A'B' is √10 =3.162 units

8 0
3 years ago
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Lostsunrise [7]
The answer is $1.02
5 0
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valkas [14]
I believe it’s 7/10
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Answer: Sammy


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Hope this helps!


5 0
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