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qaws [65]
3 years ago
10

PLSSSSS HELPPPPPPPPPPPPP

Mathematics
1 answer:
inysia [295]3 years ago
6 0

1.2 \: cubic \: feet \times  \frac{1 \: gallon}{7.48 \: cubic \: feet}  \times  \frac{8.33 \: pounds}{1 \: gallon}

= 1.33636364 pounds

I'm not too sure about tons because I don't really know what it is.

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.          

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.0793.

P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793  

= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793  

=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.410) = 0.9207

\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51  

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0
3 years ago
Solve the system of equations using substitution. Write the solution as an ordered pair.
IrinaK [193]

Answer:

  (-3, 3)

Step-by-step explanation:

Substitute for y:

  x+6 = -2x -3

  3x = -9 . . . . . . . add 2x -6 to both sides

  x = -3 . . . . . . . . divide by 3

  y = (-3) +6 = 3 . . substitute for x in the first equation

The solution is ...

  (x, y) = (-3, 3)

4 0
3 years ago
What is x and what converse is used to find x
mrs_skeptik [129]

Answer:

4

Step-by-step explanation:

the third angle of the inner triangle is defined by using the rule that the sum of all angles in a triangle must be 180 degrees. let's call this angle a

180 = 48 + 16x + a

132 - 16x = a

and then we know that both angles, 28x and a together must also be 180, as they are complementing each other to cover the whole top of the base line.

so,

28x + 132 - 16x = 180

12x = 48

x = 4

8 0
3 years ago
A car takes 54.9 seconds to travel 1 mile. How long does it take the car to travel 4.3 miles? First round to the nearest whole n
fiasKO [112]

Answer: Rounded: 236 seconds

Not rounded: 236.07 seconds

Step-by-step explanation: We know that it takes the car 54.9 seconds to travel one mile, and we know that 1 times 4.3 is 4.3, so 4.3 times 54.9 equals 236.07 seconds.

5 0
3 years ago
An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
Alex777 [14]
72⁰_______3π m
360⁰______15π m

C = 15π = 2π r
r = 7•5 m
8 0
3 years ago
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