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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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If ab and cd are congruent what is the measure of
sweet-ann [11.9K]

Answer:

25°

Step-by-step explanation:

the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.

5 0
3 years ago
What is the value of X in the following: 7x-8 = 14+9x
LekaFEV [45]

Answer:

x = -11

Step-by-step explanation:

7x-8 = 14+9x

7x - 8 - 7x  -14 = 14 + 9x -7x -14

-22 = 2x

x = -11

4 0
3 years ago
Kurt opened a savings account and deposited $3,000.00 as principal. The account earns 5%
stiv31 [10]

Answer:

Step-by-step explanation:

P = 3,000

r = 5% = 0.05

t = 9 years

Amount after 9 years is

A = P (1+ r)^t

A = 3,000(1+ 0.05)^9 = 3,000 * 1.05^9 = 4653.984648 ≈ $4,653.98

The balance after 9 years, rounded to the nearest cent is

$4,653 and 98 cents

7 0
2 years ago
In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for
Veronika [31]
The general formula for the margin of error would be:

z * √[p (1-p) ÷ n]

where:
z = values for selected confidence level
p = sample proportion
n = sample size

Since the confidence level is not given, we can only solve for the 
<span>√[p (1-p) ÷ n]  part.
</span>
p = 44/70
n = 70

√[44/70 (1 - (44/70) ÷ 70]

√[0.6286 (0.3714)] ÷ 70

√0.2335 ÷ 70

√0.0033357 = 0.05775 or 0.058 Choice B.



7 0
3 years ago
How to form a polynomial with given zeros and degree and multiplicity calculator
ohaa [14]

Answer:

Taking P(x) = x³-12x-16 as an example

Step-by-step explanation:

For a polynomial, if

x = a is a zero of the function, then (x − a) is a factor of the function.

We have two unique zeros:

−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.

Following how it's constructed

zero at -2, multiplicity 2

zero at 4, multiplicity 1

p(x)=x−(−2))²(x−4)¹

Thus,p(x)=(x+2)²(x−4)

Expand: p(x)=(x²+4x+4)(x−4)

p(x) =x³−12x−16

3 0
2 years ago
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