Answer:
Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060
Step-by-step explanation:
In order to calculate the probability that the store will sell exactly seven card tables in a given week we would have to calculate the following formula:
probability that the store will sell exactly seven card tables in a given week= e∧-λ*λ∧x/x!
According to the given data furniture store sells four card tables in a week, hence λ=4
Therefore, probability that the store will sell exactly seven card tables in a given week=e∧-4*4∧7/7!
probability that the store will sell exactly seven card tables in a given week=0.060
Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060
So,
We need to convert the gallons into cups.
1 gal. = 16 c.
2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44
3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58
5 gal. = 5(16) = 80
There are 20 + 15 = 35 people. Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda. We just need to subtract these amounts from what Bob has.
44 - 35 = 9 cups of lemonade
58 - 35 = 23 cups of punch
80 - 35 = 45 cups of soda
Obviously, then, Bob will have enough drinks.
He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over. In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.
Answer:
$204.89
Step-by-step explanation:
Step 1
We have to first find the area of the circular sign.
Since the sign is circular in shape, we use the Area of Circle.
Area of a Circle = πr²
r = 1.5 feet
π = 3.14
Area of a Circle = 3.14 × 1.5²
= 7.065ft² or 7.065 square feet.
Step 2
We find out how much it cost to print the circular sign.
We are told in the question that
The printing company charges $29 per square foot
Hence,
1 square foot = $29
7.065 square feet =
Cross multiply
= 7.065 × $29
=$ 204.885
Approximately to the nearest cent, $204.89
Therefore, it will cost $204.89 to print the circular sign
Answer:
A
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = 8 - 10 = - 2, thus
= 10 - 2(n - 1) → A
Answer:
A
Step-by-step explanation:
Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.