Answer:
At most 25% of homes will have a monthly utility bill of less than $105.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question, we have that:
The mean is $123.
The standard deviation is $9.
What percentage of homes will have a monthly utility bill of less than $105
105 = 123 - 2*9
So 105 is two standard deviations below the mean.
We have that, by the Chebyshev Theorem, at least 75% of the measures will be within 2 standard deviations from the mean, so at most 25% of the measures will be more than two standard deviations of the mean(greater than 141 ou lesser than 105).
So at most 25% of homes will have a monthly utility bill of less than $105
tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .
Answer:
[tex]Salary = \$5670[/tex]
Step-by-step explanation:
Given
[tex]Items = \$27000[/tex]
[tex]Rate = 21\%[/tex]
Required
Determine her salary
Her salary is calculated as:
[tex]Salary = Rate * Items[/tex]
This gives:
[tex]Salary = 21\% * \$27000[/tex]
Convert % to decimal
[tex]Salary = 0.21 * \$27000[/tex]
[tex]Salary = \$5670[/tex]
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65
Answer:
D. 0.65
Step-by-step explanation:
Do 52/80 to get the answer which is D.
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So 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.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Due to the increase in global travel and the prevalence of invasive species, the Anopheles mosquito carrying the malaria parasite was inadvertently introduced to this isolated Pacific island. A researcher, 100 years from the present day, decides to complete a follow-up study and monitors another 50 couples who are all heterozygous for type A blood and have sickle cell trait. These couples had 136 children. Based on the introduction of the Anopheles mosquito carrying the malaria parasite, predict scientifically logical observed numbers of children for each genotype possibility and complete a chi-square statistical analysis test.
i. What is your predicted chi-square value(x^2)?__________
ii. Calculate df. _______
iii. Using the critical values table, determine the predicted P value.
Answer:
i. Predicted chi-square value(x^2)?______ 22.35
ii. df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The P-Value is .050985 for 5 df and 0.05 significance level. The result is not significant at p < .01.
The P-Value is .010362 for 5 df and 0.01 significance level. The result is not significant at p < .01.
Step-by-step explanation:
Phenotype Predicted ( o) Expected (e) (o-e) (o-e)²/e
(observed)
A- normal 19 3/4 * (1/4)= 3/16 25.5 -6.5 1.66
O normal 5 1/4 * (1/4)= 1/16 8.5 -3.5 1.44
A trait 70 3/4 * (1/2)= 3/8 51 19 7.07
O trait 25 1/4 * (1/2)= 1/8 17 8 3.67
A Disease 13 3/4 * (1/4)= 3/16 25.5 -12.5 6.13
O Disease 4 1/4 * (1/4)= 1/16 8.5 -4.5 2.38
136 136 22.35
i. What is your predicted chi-square value(x^2)?______ 22.35
ii. Calculate df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The critical region for alpha =0.05 is χ² ≥ χ² (0.05,5) = 11.02
The P-Value is .050985. The result is not significant at p < .01.
The critical region for alpha =0.01 is χ² ≥ χ² (0.01,5) = 15.00
The P-Value is .010362. The result is not significant at p < .01.
The calculated value of chi square is 22.35 which is greater than 15.00 and 11.02 , the critical regions at alpha 0.05 and 0.01
Therefore it falls in the critical region and the result is insignificant.
3 ÷ 1/8 simplified dont use calculator the answer is not 24
Answer:
Step-by-step explanation:
Since we converted 3 1/8 to 25/8, this is actually (25/8)/100. This simplifies to: (25/8)/100 = 25/(8*100) = 1/8 * 25/100 = 1/8 * 1/4 or 1/(4*8) = 1/32. A simplest fraction is a fraction of the form a/b where a and b share no factors other than 1. And 1/32 is the simplest fraction you can get.
Answer: 24/1
Step-by-step explanation:
The answer is 24....maybe just add the 1 under it
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?
Answer and explanation:
Probability = number of favorable outcomes/ total number of outcomes
Since all glasses labelled C, D, and P are all same Cola
Probability that C is ranked first = 1/3
Probability that D is ranked last = 1/3
How much water do you add:
To make 25% sugar syrup using 15g of sugar?
Answer:
amount of water required = 45 g
Step-by-step explanation:
Answer:
45g
Step-by-step explanation:
Lia swam in a 0.61 in the pool for 2 weeks everyday how many meters did she swim
Answer:
8.54 meters
Step-by-step explanation:
0.61x14=8.54
Which pair
angles must be supplementary?
21
5
3 4
4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
Answer:
C. 4 and 5
I hope I was able to help.
Please help solve this
Answer:
It's no. C
Step-by-step explanation:
What is 1/9 as whole number
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation:
I will give brainiest.
Answer:
the third one is the answer
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
1) All cars are blue. (2) All pigs have wings. Therefore, (3) All buses have three wheels. Question 2 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answer:
Fails the true premises test and fails the proper form test
Explanation:
A valid argument must pass the true premises test and the proper form test.
True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)
(4,9) (2,6) (0,3) y intercept please
Hi there!
Hope this helps!
Match each sum or difference with the correct simplified expression.
(x - 5) - (x - 1)
2x - 4
(x - 5) + (x + 1)
2x - 6
(x - 5) - (x + 1)
4.
(x - 5) + (x - 1)
-6
Answer:
[tex](x-5)-(x-1)=-4[/tex]
[tex]=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Step-by-step explanation:
In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.
[tex](x-5)-(x-1)=x-5-x+1[/tex]
[tex]=-4[/tex]
[tex](x-5)+(x+1)=x-5+x+1[/tex]
[tex]=2x-4[/tex]
[tex](x-5)-(x+1)=x-5-x-1[/tex]
[tex]=-6[/tex]
[tex](x-5)+(x-1)=x-5+x-1[/tex]
[tex]=2x-6[/tex]
The answers are
[tex](x-5)-(x-1)=-4[/tex]
[tex](x-5)+(x+1)=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Answer:
Step-by-step explanation:
I got it right on edge 2022!
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
help i don’t know how to do this
Answer: E and F
Step-by-step explanation:
really long story, but those two are the correct answers. hope this helps! :)
A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?
A. Each calculator costs $1,000.
B. The account had $1,000 before buying calculators.
C. Each calculator costs $80.
D. The account had $80 before buying calculators.
Answer:
C. Each calculator costs $80.
Step-by-step explanation:
Linear equation:
Has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.
In this question:
Amount remaining after buying x calculators:
[tex]y = 1000 - 80x[/tex]
So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.
The answer is given by option C.
Please help! Algebra hw! Hrw
Answer:
x^9 -20x^7 -6x^3 3x^2 13
Step-by-step explanation:
Standard form for polynomials is to order the degrees of the number from highest to lowest, left to right. So, knowing this, we can infer that it goes x^9 - 20x^7 - 6x^3 + 3x^2 + 13. The degree is 9 (highest exponent), and the leading coefficent (number in front of/multiplying highest degree var) is 1.
Answer: (x^9)+(-20x^7)+(-6x^3)+(3x^2)+13
Step-by-step explanation:
Standard form would just be to organize the polynomial in descending order of the degree (..._^3+_^2+_^1+constant)
1 Which triangle appears to be an obtuse
triangle?
C
B
D
Answer:D you can tell it’s much wider and it’s not at a 90 degree or less
Step-by-step explanation:
Q. One yard equals three feet. How many
yards are there in 63 feet? Type your
answer in the box
yards.
Answer:
21 yards
Step-by-step explanation:
There will be 21 yards in 63 feet of the measurement.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that one yard is equal to three feet. There are 63 feet of measurement.
The value of 63 feet in yards will be calculated as:-
1 yard = 3 feet
1 feet = 1 / 3 yards
63 feet = ( 63 / 3 ) yards
63 feet = 21 yards
Therefore, there are 21 yards in 63 feet of the measurement.
To know more about an expression follow
https://brainly.com/question/358500
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A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
2.5% of what number is 14?
Answer: 560
Step-by-step explanation: 2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.
The unknown number will be; 560.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).
a x b/100 = a x b%
WE need to find the 2.5% of unknown number is 14.
Let the unknown number be x
Then;
2.5% of x = 14.
Simplify;
2.5/100 × x = 14
0.0025 × x = 14
x = 14/0.0025
x = 560
Hence, the unknown number will be; 560.
Learn more about percent here:
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If p= -7 and r = 1/2, what does pr - r equal
A) -4
B) -3
C) 3
D) 4
Answer:
Step-by-step explanation:
Factor the expression.
pr - r = r(p-1) = ½(-8) = -4
Answer:
-4
Step-by-step explanation:
pr = -7 × 1/2-7 × 1/2 = -3.5-3.5 - r = -3.5 - 1/2-3.5 - 1/2 = -3.5 - 0.5-3.5 - 0.5 = -4I hope this helps!
Y-21<85 help me pls
I don’t get this stuff lol
Answer:
it is y<106
Step-by-step explanation:
remember to add 85 and 21 together :)
Below are five questions from a survey of MBA students. Answers were written in the blank at the left of each question. For each question, state the data type (categorical, discrete numerical, or continuous numerical) and measurement level (nominal, ordinal, interval, ratio). Explain your reasoning. If there is doubt, discuss the alternatives. _____ Q11 What is the age of the car you usually drive
Complete question :
Q11. What is the age of the car you usually drive? (years).
Q12.) About how many times in the past year did you attend formal religious services?
Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).
Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).
Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)
Answer:
Continous, ratio
Discrete, Ratio
Categorical, ordinal
Categorical, nominal
Categorical, ordinal
Step-by-step explanation:
Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The
Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.
The measurement scales include ;
Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.
The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.
The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other
Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :
Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5
1. continuous numerical, ratio
2. discrete numerical, ratio
3. categorical, ordinal or interval
4. categorical, nominal
5. categorical, ordinal or interval
just did the question! hope future students are helped
Can someone help? Will give brainliest!! Ty
