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kenny6666 [7]
2 years ago
12

When Emily commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 25 minutes and a s

tandard deviation of 2.5 minutes. Out of the 203 days that Emily commutes to work per year, how many times would her cornmute be shorter than 21 minutes, to the nearest whole number?​
Mathematics
1 answer:
Dominik [7]2 years ago
5 0

Answer:

answer 298

Step-by-step explanation:

just focus your module brainless me

You might be interested in
Check whether the relation R on the set S = {1, 2, 3} is an equivalent
kozerog [31]

Answer:

R isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.

Step-by-step explanation:

Let S denote a set of elements. S \times S would denote the set of all ordered pairs of elements of S\!.

For example, with S = \lbrace 1,\, 2,\, 3 \rbrace, (3,\, 2) and (2,\, 3) are both members of S \times S. However, (3,\, 2) \ne (2,\, 3) because the pairs are ordered.

A relation R on S\! is a subset of S \times S. For any two elementsa,\, b \in S, a \sim b if and only if the ordered pair (a,\, b) is in R\!.

 

A relation R on set S is an equivalence relation if it satisfies the following:

  • Reflexivity: for any a \in S, the relation R needs to ensure that a \sim a (that is: (a,\, a) \in R.)
  • Symmetry: for any a,\, b \in S, a \sim b if and only if b \sim a. In other words, either both (a,\, b) and (b,\, a) are in R, or neither is in R\!.
  • Transitivity: for any a,\, b,\, c \in S, if a \sim b and b \sim c, then a \sim c. In other words, if (a,\, b) and (b,\, c) are both in R, then (a,\, c) also needs to be in R\!.

The relation R (on S = \lbrace 1,\, 2,\, 3 \rbrace) in this question is indeed reflexive. (1,\, 1), (2,\, 2), and (3,\, 3) (one pair for each element of S) are all elements of R\!.

R isn't symmetric. (2,\, 3) \in R but (3,\, 2) \not \in R (the pairs in \! R are all ordered.) In other words, 3 isn't equivalent to 2 under R\! even though 2 \sim 3.

Neither is R transitive. (3,\, 1) \in R and (1,\, 2) \in R. However, (3,\, 2) \not \in R. In other words, under relation R\!, 3 \sim 1 and 1 \sim 2 does not imply 3 \sim 2.

3 0
3 years ago
a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
Lisa [10]

Answer:

The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

Let x be the original price

x *80% = 270

.80x = 270

Divide each side by .80

.80x/.80 = 270/.80

x =337.50

The original price is 337.50

5 0
3 years ago
Read 2 more answers
How can u show that two objects are proportional using a graph
Grace [21]
The graph has to be a straight line that pass through the origin (0,0)
3 0
3 years ago
If AB= 5 what is the exact length of BD in square ABCD ​
Afina-wow [57]

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

5 0
3 years ago
9. Audrey is buying a new car for $32,998.00. She plans to make a down payment of $4,200.00. If she's to make monthly payments o
skelet666 [1.2K]
 the next five years Audrey paid 3.7%
7 0
3 years ago
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