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sammy [17]
3 years ago
10

The average speed on a certain highway is μ = 58 with a standard deviation of σ = 10. What portion of cars are traveling between

 55 and 65 mph?
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
The portion of cars traveling between 55and 65 mpg could be 59 card
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Jayden has been reading a 275275275-page book for english class. on average, he has read about 101010 pages in 151515 minutes (\
Vitek1552 [10]
<span>75 pages.
   OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
   To make things easier, first convert the time to just minutes. So 5 * 60 + 50 = 300 + 50 = 350 minutes.

   Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
 X * 15/10 + (350 - X)*10/15 = 275

   Solve for X.
 X * 15/10 + (350 - X)*10/15 = 275
 X * 15/10 + 350*10/15 - X*10/15 = 275
 X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
 X(45/30 - 20/30) = 825/3 - 700/3
 X(25/30) = 125/3
 X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
   So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>
7 0
3 years ago
Pls help me !! will mark brainliest... i just need you to solve for m&lt;1 and m&lt;7 !! thanks !!
frez [133]

Step-by-step explanation:

=( n-2)180

= ( 4 - 2 )180

= 360

So, 144 + 90 + m<2 +m<1 = 360

144 + 90 + 85 + m<1 = 360

319 + m<1 = 360

m<1 = 360 - 319

m<1 = 41

their is an unknown angle so let's call it x

let's find x first ( m<6=49)

x + m<6 = 180

x + 49 = 180

x = 180 - 49

x = 131

Now let's find m<7

m<7 + 38 + m<4 + x = 360

m<7 + 38 + 85 + 131 = 360

m<7 + 254 = 360

m<7 = 360 - 254

m< 7 = 106

8 0
3 years ago
Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
kobusy [5.1K]

The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

Learn more about system of equations from here brainly.com/question/13729904

#SPJ4

6 0
2 years ago
Which property was used to simplify the expression?<br><br> (3z)^2 = 3^2z^2 = 9z^2
svet-max [94.6K]
One of the product rules for exponents was used.
(ab)^{c}=a^{c}b^{c}

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}
3 0
4 years ago
2x+12=14 ......... please help it’s to hard
NikAS [45]

Answer:

1

Step-by-step explanation:

2x+12=14 \\ 2x =  14 - 12 \\ 2x = 2 \\ x =  \frac{2}{2}  \\ x = 1

5 0
4 years ago
Read 2 more answers
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