Answer:
A. Homes using solar power always have lower utility bills than homes using only gas and electricity.
Step-by-step explanation:
Gas and Electricity
[tex]\bar x = 93[/tex]
[tex]\sigma = 11[/tex]
Solar
Bills: 56, 54 and 51
Required
Determine which of the statements is true
First, we calculate the mean of the given data
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{56 + 54 + 51}{3}[/tex]
[tex]\bar x = \frac{161}{3}[/tex]
[tex]\bar x = 53.67[/tex]
Then, the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - x_i)^2}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{(56 - 53.67)^2 + (54 - 53.67)^2 + (51 - 53.67)^2}{3}}[/tex]
[tex]\sigma = \sqrt{\frac{12.67}{3}}[/tex]
[tex]\sigma = \sqrt{4.223}[/tex]
[tex]\sigma = 2.05[/tex]
So, we have:
Gas or Electricity
[tex]\bar x = 93[/tex]
[tex]\sigma = 11[/tex]
Solar
[tex]\bar x = 53.67[/tex]
[tex]\sigma = 2.05[/tex]
By comparison.
The mean and standard deviation of homes using solar panel is less than home using gas and electricity.
This implies that: (a) is true.
Find the area of a triangle ABC when m is less than C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Answer:
[tex]Area =6.41mi^2[/tex]
Step-by-step explanation:
Given
[tex]a = 5.7[/tex]
[tex]b = 9.3[/tex]
[tex]c = 14^\circ[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area =\frac{1}{2}* a * b * sin(c)[/tex]
So:
[tex]Area =\frac{1}{2}* 5.7 * 9.3 * sin(14)[/tex]
[tex]Area =\frac{1}{2}* 5.7 * 9.3 * 0.2419[/tex]
[tex]Area =6.41mi^2[/tex]
Answer:
The answer is 6.41!
Step-by-step explanation:
I took the test and this is correct
It’s me again guys!! Can anyone help me please?
6.39 ÷ 0.09 ≅ _____
No Downloads or Files
I Need An Answer please
71
that's all there is to it
Answer: 71
Step-by-step explanation: 6.39 /0.09
71
What is the quadratic regression equation that fits these data?
Answer:
C
Step-by-step explanation:
The quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].
What is the quadratic regression equation?A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.
The quadratic regression equation that fits these data is;
[tex]\rm y=2.13x^2+0.13x+6.39[/tex]
Check for the values of x and y;
When the value of x = -4 the value of y is;
[tex]\rm y=2.13x^2+0.13x+6.39\\\\x=-4\\\\\rm y=2.13(-4)^2+0.13(-4)+6.39\\\\y=34.13-0.52+6.39\\\\y=40[/tex]
Hence, the quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].
Learn more about quadratic equation here;
https://brainly.com/question/17018837
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PLSS HELP 50 PTS
Which polygons are congruent?
Select each correct answer.
Answer:
A and B
Step-by-step explanation:
Hope this helped :)
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.
Answer:
74
Step-by-step explanation:
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 21 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired, assuming that there is no discrimination based on gender.
Does the resulting probability really support such a charge?
Answer:
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
Step-by-step explanation:
For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
21 new employees.
This means that [tex]n = 21[/tex]
She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
This means that [tex]p = 0.5[/tex]
Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.
This is
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]
[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]
[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]
[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
2.952 + 39.24 =
A: 42.192
B: 68.76
C: 6.876
D: 687.6
E: 36.288
F: 42.76
Answer:
The answer to this question is A
Answer:A:42.192
Step-by-step explanation:
line them up by the decimals and place value
39.24
+2.952
add a zero onto 39.24 to line them up correctly
39.240
+2.952
then add to get an answer of
A:42.192
2.5
pocket money in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him
to cover this distance if he drives at an average speed of R65km/h? Give your answer rounded to the
nearest minute.
Answer:
pzie6zkezkzorzozirusultaluspuar
A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
Allison and Megan were at track practice. The track is 3/8 kilometers around.
- Allison ran 1 lap in 3 minutes.
- Megan ran 4 laps in 6 minutes.
How many minutes does it take Allison to run one kilometer?
Allison ran 3/8 km (0.375 km) in 3 minutes.
Set up a proportion to find how long it takes for her to run 1 km
[tex]\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}[/tex]
Cross multiply to get:
[tex]3 = 0.375x[/tex]
Solve:
[tex]x = \frac{3}{0.375}[/tex]
x = 8 minutes
After sales tax, a $96 watch costs
$101.28. What is the sales tax
percentage?
A:6.2%
B:5.5%
C:5.2%
D:8.5%
I need help, please also help with the other
Answer:
Maybe 7.
Step-by-step explanation:
Okay, the answer could be difficult to find but if you look at the x-axis and also y-axis it would be very easy and not complicated.
A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem
Answer:
75cm is the measurment
Step-by-step explanation:
It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.
We are formulating a 90% confidence interval for the population mean and would like our confidence interval to have a margin of error that is not larger than 3. Experience suggests that a reasonable estimate for the population standard deviation is 15. What minimum sample size should be anticipate using? (NOTE: Round your final answer up to the next whole number).
Answer:
A sample size of 68 should be anticipated using.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Experience suggests that a reasonable estimate for the population standard deviation is 15
This means that [tex]\sigma = 15[/tex]
What minimum sample size should be anticipate using?
Margin of error at most 3, which means that the sample size is n when M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.645*15[/tex]
Simplifying both sides by 3:
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up
A sample size of 68 should be anticipated using.
The times for running a 5K for a local charity event are Normally distributed. Which standardized time represents the
87th percentile?
Find the z-table here.
-1.34
-1.13
01.13
1.34
Answer:
1.13
Step-by-step explanation:
Edge 2021 hope this helps
a building has two sizes of Apartments small irregular the ratio of small apartments to regular Apartments is 14 to 6 what percent of apartments in the building are small
Answer is in the file below
tinyurl.com/wpazsebu
What is the diameter of a 2m circle?
Answer:
If 2m is the radius, the diameter is 4 meters.
2*2=4
Need help ASAP!!!!!!!!!!
Answer:
the last two
Step-by-step explanation:
HURRY ASAP
Solve the following equation for x
a. x=0.5
b. x=3
C. X=2
d. x=1
Hello, can someone plz make sure I’m correct. The photo is above !
it looks correct to me
ps. i hate savvas realize
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
I need helphrdugdgdggdhd
Answer: the first box
Brainliest please
Step-by-step explanation:
25.09 is more than 25.018 because 0.09 is greater than 0.01
25.09-25.018=0.072
Answer:
You good? Also, 25.018 is heavier since it is closer tho the nearest ones and the fact it is a bigger decimal.
Step-by-step explanation:
Jackie Chan is reviewing the total accounts receivable of his new department store in Hong Kong customers who paid with credit totaled $85,000 this month this represents 40% of our receivables do what is mr. Chan's total account receivable?
Answer:
Mr. Chan's total account receivable is of $212,500.
Step-by-step explanation:
$85,000 this month this represents 40% of our receivables
This means that 85000 is 40% = 0.4 of the receivables, which is x.
What is mr. Chan's total account receivable?
We have to find x
[tex]0.4x = 85000[/tex]
[tex]x = \frac{85000}{0.4}[/tex]
[tex]x = 212500[/tex]
Mr. Chan's total account receivable is of $212,500.
it is a set of points on given plane which is equidistant from a fixed point called the center
Answer: circle
Step-by-step explanation:
The set of points on a given plane which is equidistant from a fixed point that is called the center simply describes a circle.
We should note that the straight line that goes through the centre of a circle is referred to as the diameter while half of the diameter is the radius which is drawn from the center of the circle.
The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Students at the local middle school are mixing a unique school color. The blue in the school
color is made by using 3 parts navy blue and 1 part white. Will each combination result in the
correct ratio of the school color? Select Yes or No.
O Yes O No
O Yes O No
A. į part navy blue, į part white
B. į part navy blue, in part white
C. part navy blue, į part white
D. } part navy blue, į part white
O Yes O No
O Yes O No
Answer:
A: No
B: Yes
C: Yes
D: No
Step-by-step explanation:
A: Navy is obviously the bigger ratio so A is wrong
B: If you multiply both values by 18 you get the 3:1 ratio
C: If you Multiply both values by 5, you get the 3:1 ratio
D: Like A, Navy is always going to be bigger so D is wrong
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
7/10 or 70%
Step-by-step explanation:
1 no
2 yes
3 yes
4 yes
5 no
6 yes
7 no
8 yes
9 yes
10 yes
7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them
Given that z is a standard normal random variable, find z for each situation (to 2 decimals).
A. The area to the right of z is 001.
B. The area to the right of z is 0.045.
C. The area to the right of z is 0.05.
D. The area to the right of z is 0.2.
Answer:
a) Z = 2.33
b) Z = 1.7
c) Z = 1.65.
d) Z = 0.84.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.
A. The area to the right of z is 0.01.
Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.
B. The area to the right of z is 0.045.
Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7
C. The area to the right of z is 0.05.
Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.
D. The area to the right of z is 0.2.
Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.
HELP PLEASE HURRY!!! NO SPAM!!!!
Identify the area of the figure
Which figure where is the figure