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Katyanochek1
2 months ago
6

landon owns a hybrid SUV that can travel 400 miles on a 15-gallon tank of gas.Determine how many miles he can travel on a 6 gall

ons.
Mathematics
2 answers:
zzz [12.3K]2 months ago
7 0
Let x denote the miles traveled. We have the equation 400 miles divided by 15 gallons equals x divided by 6 gallons. Cross-multiplying yields: (15 gallons)(x) = (400 miles)(6 gallons) Thus, 15x equals 2400 miles. Solving for x gives us x = 2400 miles divided by 15, leading to x = 160 miles.
tester [12.3K]2 months ago
7 0
From another answer, "There are various methods to calculate this. One approach is:

With a range of 400 miles on a 15-gallon fuel tank,
400 / 15 results in 26.66666666666667 miles for every gallon (it seems odd, but we'll reach a concise outcome shortly)
Thus, 26.66666666666667 multiplied by 6 gallons equals 160 miles.

<span>Final result: Landon's SUV can go </span>160 miles<span> using 6 gallons."</span><span />
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Five thousand tickets are sold at​ $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a
babunello [11817]

Response:

the expected value of this raffle if you purchase 1 ticket = -0.65

Breakdown of the calculation:

Details:

5,000 tickets are sold at​ $1 each for a charitable raffle

Winners will be chosen at random with cash prizes as follows: 1 prize of ​$500​, 3 prizes of ​$300​, 5 prizes of ​$50​, and 20 prizes of​ $5.

Therefore, the value and its respective probability can be calculated as follows:

Value                              Probability

$500 - $1 = $499              1/5000

$300 - $1 = $299              3/5000

$50 - $1 = $49                    5/5000

$5 - $1 = $4                     20/5000

-$1                           1 - 29/5000 = 4971/5000

The expected value of the raffle when buying 1 ticket is computed as follows:

E(x) = \sum x * P(x)

E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000} + (-1 * \dfrac{4971}{5000} ))

E(x) = (0.0998 + 0.1794+0.049 + 0.016 + (-0.9942 ))

E(x) = (0.3442 -0.9942 )

\mathbf{E(x) = -0.65}

So, the expected value of this raffle when one ticket is purchased = -0.65

7 0
2 months ago
Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his
AnnZ [12381]
a. The point estimate for the population mean is b. The confidence interval at 80% is c. This means there is an 80% probability that the true mean of the population lies within the given confidence interval.
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1 month ago
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. Hi
Svet_ta [12734]
A) The independent variable in this scenario is the quantity of books purchased. C) The overall cost for the year hinges on the number of books obtained. E) The output of this function is the total yearly cost.
5 0
2 months ago
6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form
PIT_PIT [12445]
Given: Triangle ABC is rotated 90 degrees counterclockwise and then translated vertically by 3 units to form triangle A'B'C'. To determine: The transformation rule necessary to map each point (x,y) on Triangle ABC to its equivalent point on Triangle A'B'C'. Solution: For a figure that undergoes a 90-degree counterclockwise rotation, the transformation will be defined as: To translate a figure upward by 3 units, the appropriate transformation will be applied afterwards. Hence, when triangle ABC experiences a rotation of 90 degrees counterclockwise followed by a translation of 3 units upward to create triangle A'B'C', the transformation rule will be established accordingly.
7 0
1 month ago
Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =
Svet_ta [12734]
The provided function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To determine the function's value at each vertex, simply plug in the respective x and y coordinates into the equation to find the value of P as shown below:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67

3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

I hope this is useful:)
3 0
2 months ago
Read 2 more answers
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