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dem82 [27]
3 years ago
9

Valerie is saving money for a new backpack. The one she wants costs $57.65. If she saves 7.25 a week, about how many weeks will

it take her to have enough money for the backpack?
Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

8 weeks

Step-by-step explanation:

Given Valerie want's to buy a backpack which costs $57.65

Also given that she saves $7.25 a week

Let the number of weeks she saves the money be x

For her to buy the backpack the following inequality should be satisfied

amount saved > cost of the item

The amount saved = Saving per week \times number of weeks

7.25x > 57.65

x > 7.95

Since x is an  integer we have x = 8

Therefore she has to save 8 weeks to buy the item

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3 years ago
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com
My name is Ann [436]

Answer:

a. The value of alpha is 3.014 and the value of beta is 12.442

b. The probability that data transfer time exceeds 50ms is 0.238

c. The probability that data transfer time is between 50 and 75 ms is 0.176

Step-by-step explanation:

a. According to the given data we have that the mean and standard deviation of the random variable X are 37.5 ms and 21.6.

Therefore, E(X)=37.5 and V(X)=(21.6)∧2  

To calculate alpha we would have to use the following formula:

alpha=E(X)∧2/V(X)

alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

​alpha=3.014

To calculate beta we would have to use the following formula:

β=  V(X) ∧2/E(X)

β=(21.6)  ∧2/37.5

β=466.56 /37.5

β=12.442

b. E(X)=37.5 and V(X)=(21.6)∧2  

Therefore, P(X>50)=1−P(X≤50)

Hence, To calculate the probability that data transfer time exceeds 50ms we use the following formula:

P(X>50)=1−P(X≤50)

=1−0.762

=0.238

The probability that data transfer time exceeds 50ms is 0.238

c. E(X)=37.5 and V(X)=(21.6)∧2  

​Therefore, P(50<X<75)=P(X<75)−P(X<50)  

Hence, To calculate the probability that data transfer time is between 50 and 75 ms we use the following formula:

P(50<X<75)=P(X<75)−P(X<50)

=0.938−0.762

=0.176

​

The probability that data transfer time is between 50 and 75 ms is 0.176

6 0
3 years ago
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Answer:

a. = -35 \\ b. = 9a + 1 \\ c. = -35

Step-by-step explanation:

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3 years ago
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AnnyKZ [126]

lines a and d are parallel and lines b and c are parallel

6 0
3 years ago
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