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katrin2010 [14]
3 years ago
15

Add. Simplify your answer and write it as a proper fraction or as a whole or mixed number. 9/ 10 + 4/ 5 =

Mathematics
1 answer:
Serjik [45]3 years ago
3 0
Before adding dissimilar fractions (fractions with different denominator), you have to make the fractions similar first. To make the fractions similar, find the Least Common Multiple of the denominator. In this case, the LCM is 10. Then rewrite the fractions using the LCM as the denominator.
9/10 = 9/10; 4/5 = 8/10
You can now proceed with addition -
9/10 + 8/10 = 17/10 or 1 7/10
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Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.59.
bogdanovich [222]
C(p) = 0.59p <=======
7 0
3 years ago
Priya buys a bicycle for $250.
Varvara68 [4.7K]

Answer:

108.60

Step-by-step explanation:

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8 0
3 years ago
Find the length of a rectangle with a perimeter of 76 inches and width of 16 inches.
levacccp [35]

Answer:

22 inches

Step-by-step explanation:

Width (16) x 2 = 32

72 (perimeter) - 32 (width x 2) = 44 inches

44 divided by 2 is 22, which is the length.

3 0
2 years ago
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The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest
Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)

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

P(x < 5) =0.7287= 72.87\%

b) P( port handles 3 or more million tons of cargo per week)

P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)

Calculating the value from the standard normal table we have,

1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%

c)P( port handles between 3 million and 4 million tons of cargo per week)

P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%

P(3 \leq x \leq 4) = 23.7\%

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85  

= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85  

=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15  

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

P( z \leq -1.036) = 0.15

\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0
3 years ago
Pete has an old playstation that he bought for $400.
katrin2010 [14]

Answer:

1 year= $280

Step-by-step explanation:

30% of 400= 0.3 * 400= 120

400-120= 280

after one year the playstation cost 280

30% of 280= 0.3 * 280= 84

280-84= 196

after 2 years it cost $196

multiply the number by 0.3 to get 30% of the total

 

7 0
2 years ago
Read 2 more answers
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