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harkovskaia [24]
3 years ago
8

A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is

(500−60t) dollars and the balance of the fundraising account is (175+42t) dollars. a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks. An expression is ( ) dollars. b. What is the total amount (in dollars) in both accounts after 11 weeks? Amount after 11 weeks: $
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 0

Answer:

a. 550-8t

b. 454 dollars

Step-by-step explanation:

a. Calling t the number of weeks, the balance in the first account is

while the balance in the second account is

So, the total amount in both accounts is the sum of the balances of the two accounts:

b. To find the total amount in both accounts after 12 weeks, we just need to substitute t=12 into the total balance, and we find:

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Find the measure of angle Y
Musya8 [376]

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

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divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

8 0
3 years ago
The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat
vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is  given that the

N (μ , σ).

Here μ is 2 hours then

μ  = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

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Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
timama [110]

Answer:

I put c and d on the test

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2 years ago
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