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S_A_V [24]
2 years ago
15

the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use

compatable numbers to estimate the width of the hall
Mathematics
1 answer:
Vadim26 [7]2 years ago
5 0
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
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a student concluded that the solution to the equation sqrt 2x+1+3=0 is x=4 Do you agree? Explain why or why not.
Lina20 [59]

Answer:

  No.

Step-by-step explanation:

We assume you're concerned with

  \sqrt{2x+1}+3=0

The sum of a non-negative number and a positive number cannot be zero. The square root is always non-negative.


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2 years ago
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Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
telo118 [61]
With the choices you gave, the answer to this question is the first statement, "2 loaves of bread and 4 batches of muffins''. I arrived with the answer through multiplying the amount of flour and sugar required for each loaf of bread and batch of muffins. 
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2 years ago
A student has to take two quizzes tomorrow. He has only enough time to study for one of them. The history quiz has 5 true or fal
nalin [4]

Answer:

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

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Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

6 0
2 years ago
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If X is a normal random variable with parameters µ = 10 and σ 2 = 36, compute
alex41 [277]

Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = \frac{x-10}{6}

is N(0,1)

a)  P(X > 5),

=P(Z>-0.8333)\\=0.7977

(b) P(4 < X < 16),

=P(|z|

(c) P(X < 8),

=P(Z

(d) P(X < 20),

=P(Z

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6 0
2 years ago
Isabella filled her pool with water at a constant rate.
Anon25 [30]

Answer:

The size of Isabella's pool is 220 liters.

Step-by-step explanation:

Let the size of Isabella's pool be x liters, R be the rate of fill, t be the time of fill and V be the volume of water filled in the pool.

As the rate of fill is constant,

Therefore, volume of water filled in the pool can be given as,

V= Rt

Volume of water left is given as x-V=x-Rt

From the table,

Volume of water left after t=2 minutes is 184 liters.

So, x-R(2)=184\\x-2R=184 -------- 1

Volume of water left after t=12 minutes is 4 liters.

So, x-R(12)=4\\x-12R=4 ------------2

Multiply equation 1 by 6 and equation 2 by -1, we get

6x-12R=1104\\-x+12R=-4

Now, we add the above equations, we get

(6x-x)+(12R-12R)=1104-4\\5x=1100\\x=\frac{1100}{5}=220

Therefore, the size of Isabella's pool is 220 liters.

6 0
2 years ago
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