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sesenic [268]
2 years ago
12

Two different floor plans are being offered in a new housing development. Several prospective

Mathematics
1 answer:
cricket20 [7]2 years ago
7 0

Answer:

0.912

Step-by-step explanation:

<em>The complete question is attached.</em>

<em />

"OR" in probability means "ADDITION". So we find the individual probabilities and "ADD" them.

P(Plan A) would be the total people for plan A (add up column of Plan A) divided by total number of people [add up all the numbers].

Looking at the table, we have:

P (Plan A) = 38/68

Now,

P(40-49 Group) can be found by adding up the row of 40-49 age group and dividing by the total. So, we have:

P(40 - 49 Group) = 24/68

Now, adding up both:

38/68 + 24/68 = 62/68 = 0.912

You might be interested in
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a
statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by P = 2l + 2w. We are given the perimeter of the pool along with the width.

P = 486

w = l - 35

From here, all we have to do is plug back into the original formula:

486 = 2l + 2(l - 35)

Which can be further simplified as:

486 = 2l + 2l - 70

486 = 4l - 70

From here, all we have to do is add 70 to both sides of the equation and divide by four:

556 = 4l

139 = l

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

P = 2l + 2w

P = 2(139) + 2(104)

P = 278 + 208

P = 486

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0
3 years ago
Read 2 more answers
An amount of 40.000 is borrowed for 6 years at 5% interest, compounded annually If the loan is paid in full at the end of that p
Stella [2.4K]

Answer:

A  =  $56,740

Step-by-step explanation:

Use the Compound Amount formula A = P(1 + r)^t.  Substitute 0.05 for r and $40,000 for P:

A = $40,000(1 + 0.05)^6

A  =  $56,740.26, or, rounded off to the nearest dollar,

A  =  $56,740

4 0
3 years ago
Evaluate 3x-2y; if x=7 and y=3
Zarrin [17]

Answer:

15

Step-by-step explanation:

3x - 2y = ?

3(7) - 2(3) = ?

21 - 6 = ?

= 15

All you have to do is substitute the given values & follow the order of operations! Best of luck.

3 0
3 years ago
How would I find x, I know it's an isosceles triangle but I so not know how to solve for it?????​
Wittaler [7]

Answer:

x=7 (if your teacher cares it could + or - 7)

Step-by-step explanation:

Okay, since it's a 90 degree triangle you can use the Pythagorean theorem

( a^2 + b^2 = c^2)

Since it's an isosceles triangle the other side is x because it's the same value.

x^2 + x^2= (7\sqrt{2} )^2

Add the left side

2x^2= 7^2 + \sqrt{2}^2 roots and square roots cancel each other out

So -> 2x^2= 49 x 2 =98

just solve for x.

x^2 = 98/2

x^2= 49

Square root both sides

x= 7

3 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) &lt; 5(2 – x)? Select two options. x &lt; 5 –6x – 5 &lt; 10 – x –
7nadin3 [17]

Given:

The inequality is

-3(2x-5)

To find:

The correct representations of the given inequality.

Solution:

We have,

-3(2x-5)

Using distributive property, we get

-3(2x)-3(-5)

-6x+15

Therefore, the correct option is C.

Isolate variable terms.

15-10

5

It means, the value of x is greater than 5.

Since 5 is not included in the solution set, therefore, there is an open circle at 5.

So, the graphical represents of the solution is a A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Therefore, the correct option is D.

4 0
3 years ago
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