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Kisachek [45]
2 years ago
14

(Score for Question 2: ___ of 10 points)

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
4 0

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

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An experiment is conducted to test the claim that james bond can taste the difference between a martini that is shaken and one t
sammy [17]

In hypothesis testing the claim that we have to test always goes into alternative hypothesis. The null hypothesis is negation of claim.

Here the claim to be tested is James bond can taste the difference between a martini that is shaken and one that is stirred.

So negation of this claim is James bond can not taste the difference between a martini that is shaken and one that is stirred.

So the null hypothesis for given experiment is

Null hypothesis: James bond can not taste the difference between a martini that is shaken and one that is stirred.

Alternative hypothesis: James bond can taste the difference between a martini that us shaken and one that is stirred.

5 0
3 years ago
PLZ HELP ME OUT How do I know a number is rational or irrational?
Harrizon [31]

Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Step-by-step explanation:

So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

8 0
3 years ago
Consider -q &gt; 5. Use the addition and/or subtraction property of inequality to solve.
AleksandrR [38]

The correct answer would be -5 > q

In order to solve this using only addition and subtraction, what we need to do is change the side each term is on. This will allow us to get the variable to be a positive number.

-q > 5 ----> Subtract 5 from both sides

-5 - q > 0 -----> Add q to both sides

-5 > q

8 0
3 years ago
The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. Wha
valkas [14]
The answer is 0.3413 because Explanation:

<span>z=<span><span>x−u</span>σ</span></span>, where <span>u=6 0andσ=10</span>.

Therefore the probability student finish the test between 50 to 60 minutes is,

<span>P<span>(50≤x≤60)</span>=P<span>(<span><span>50−60</span>10</span>≤z≤<span><span>60−60</span>10</span>)</span></span>

<span>P<span>(−1≤z≤0)</span>=P<span>(z≤0)</span>−P<span>(z≤−1)</span></span>

<span>=0.5000−0.1587=<span>0.3413</span></span>

3 0
3 years ago
The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.
raketka [301]

Use the polynomial remainder theorem. It says that a polynomial f(x) has remainder f(c) upon division by x-c.

Here we have

f(x)=x^4+3x^3-8x^2+5x-9

and c=-5, so the remainder is

f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}

6 0
3 years ago
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