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Sladkaya [172]
3 years ago
12

A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey r

evealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $97 and a standard deviation of $12. If nothing is known about the shape of the distribution, what percentage of homes will have a monthly utility bill of less than $73?
a)at least 75%

b)at most 25%

c)at most 11.1%

d)at least 88.9%
Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer:

c) at most 11.1%

Step-by-step explanation:

We have the data that is 97 ± 12, with 97 being the mean and 12 the standard deviation.

Now, the percentage of people who reached them for less than 73 dollars, if it were a normal distribution:

z = (73 - 97) / 12 = - 2

so it would be, a probability of 0.0228 or 0.228%.

But we don't know what distribution it has, but we can get an idea.

A and D discarded, as they are very high values, and 73 is well below the average.

B) is still a very high value.

Therefore the answer is C, at most 11.1%

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What is the length of each side of a square room if the area is 400 ft²?
kifflom [539]
The area of a square is 

A = s²

s² = 400

s = √400

s = 20

each side of a square room is 20. 

hope this helped, God bless!
5 0
3 years ago
Which absolute value function, when graphed, will be wider than the graph of the parent function, f(x) = |x|?
Iteru [2.4K]

There is no absolute value function when graphed, will be wider than the graph of the parent function f(x) = |x|

<h3>What is an absolute value function?</h3>

An absolute value function is a function such that,

|x|=-1  when x\geq 0 and |x|=1 when x\leq 0

For the given example,

We have been given a parent function f(x) = |x|

We need to find the absolute value function, when graphed, will be wider than the graph of the parent function.

Consider the graph of all absolute value functions.

The graph of f(x) = |x| + 3 is represented blue color.

The graph of f(x) = |x − 6| is represented green color.

The graph of f(x) = |x| is represented red color.

The graph of f(x) = 9|x| is represented violet color.

From this graph, we can observe that,

f(x) = |x| + 3 is as wise as the parent absolute value function f(x) = |x| translated up by 3 units.

Similarly, the function f(x) = |x - 6| is as wise as the parent absolute value function f(x) = |x| translated right by 6 units.

This means, there is no absolute value function when graphed, which will be wider than the graph of the parent function f(x) = |x|

Learn more about the absolute value function here:

brainly.com/question/10664936

#SPJ1

6 0
2 years ago
in a parking garage, the number of SUV's is 40 percent of the non SUV's. Gina counted 98 suv's in the parking garage. How many v
kondor19780726 [428]
You can find this answer multiple ways.

One way is to represent it as an equation and solve for x, The total number of vehicles.

0.4x = 98
x = 245 vehicles

Or write a proportion using the fraction for 40%.

2/5 = 98/x

5 x 49 = 245

There are 245 vehicles in the garage.
8 0
3 years ago
For Items 6-10, Identity each sequence as arithmetic geometric or neither arithmetic state the common difference iritis geometri
S_A_V [24]
The answer chalk be d beach’s I think that if u divide the file into the adding h get the sndwbfjxurbrkxuf r du t do r can ur you. I I d ci t ci wait too y the. In the answer if the confindernt ox r FITB rxir cont the game so get better at the game
4 0
3 years ago
Answer this math question pls I'm in a rush
777dan777 [17]

Answer:

61/18

Step-by-step explanation:

Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.

Now in a rectangular prism, there's two of each congruent sides (three pairs in total).

You'll need to multiply (4/3)(3/4) by 2 because there's two of them.

This gives you (1)(2) which equals 2.

Next, take another set --> (4/3)(1/3)(2) again because there's two of them.

This gives you (4/9)(2) which equals 8/9.

Last, take the last set --> (3/4)(1/3)(2)

This gives you (1/4)(2) which equals 1/2.

Now that you have all the areas of the rectangles, add them all together.

2+8/9+1/2 which equals 61/18 inches squared.

6 0
3 years ago
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