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Stolb23 [73]
3 years ago
9

Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gall

ons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

0.057168

Step-by-step explanation:

Given :

Mean = 1510

Standard deviation = 57

P(X > 1600)

To obtain the Zscore we use

(x - mean) / σ

P(Z > 1600) = P(Z > (x - mean) / σ)

P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)

P(Z > 1.579) = 0.057168 (Z probability calculator)

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What two numbers' sum=-4 and product=-2
n200080 [17]

Let <em>a</em> and <em>b</em> be the two numbers. Then

<em>a</em> + <em>b</em> = -4

<em>a b</em> = -2

Solve the second equation for <em>b</em> :

<em>b</em> = -2/<em>a</em>

Substitute this into the first equation:

<em>a</em> - 2/<em>a</em> = -4

Multiply both sides by <em>a</em> :

<em>a</em>² - 2 = -4<em>a</em>

Move 4<em>a</em> to the left side:

<em>a</em>² + 4<em>a</em> - 2 = 0

Use the quadratic formula to solve for <em>a</em> :

<em>a</em> = (-4 ± √(4² - 4(-2))) / 2

<em>a</em> = -2 ± √6

If <em>a</em> = -2 + √6, then

-2 + √6 + <em>b</em> = -4

<em>b</em> = -2 - √6

In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.

7 0
2 years ago
One alloy is 2 parts iron to 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be comb
Shalnov [3]
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy!
8 0
3 years ago
I'm having trouble in this one, Please help me
mars1129 [50]

Answer:

a. -2/12

b. -0.1

c. 1/9

Step-by-step explanation:

-2/12 = -1/6 < -1/8

-0.1 = -1/10 > -1/8

and 1/9 is the only positive fraction, making it simpler to place.

8 0
3 years ago
Kathy had $10 and gave half of it to her brother. She then gave a third of the remaining
liq [111]

Kelly has $10

- half: $10 - 1/2 x $10

$10 - $5 = $5

- one third: $5 - 1/3 x $5

$5 - $1.6667... or $5 - $1 and 2/3 = $3.33... or $3 and 1/3 or $10/3

She will have left $3.33 left, or $3 and 1/3

3 0
2 years ago
Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at
damaskus [11]

The question is incomplete. Here is the complete question:

Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at the end of her vacation was t dollars. Let d represent the number of days Val rented the bicycle. Write an equation representing the total cost at the end of her vacation.

Answer:

t=f+8.5d

Step-by-step explanation:

Given:

Flat rental fee = f

Variable fee per day = $8.50

Total cost at the end vacation = t

Number of days of her vacation = d

Using unitary method, we can find the variable fee for 'd' days.

1 day variable fee = $8.50

Therefore, 'd' days variable fee = 8.50d

Total cost at the end of her vacation can be obtained by adding the fixed rental fee and the variable fee obtained for the given number of days.

Now, total cost is given as:

Total cost = Flat rental fee + Variable fee

Substituting all the variables and framing above in the form of an equation, we get:

t=f+8.5d

Therefore, the equation representing the total cost at the end of her vacation is t=f+8.5d

7 0
3 years ago
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