Answer:50%
Step-by-step explanation: i think
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is the one on the first option.
S= {1, 2, 3, 4, 5, 6, 7}
What is the sample space?
For any experiments with some given outputs, the sample space is the set of the possible outputs.
For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}
Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:
S= {1, 2, 3, 4, 5, 6, 7}
So the correct optionis the first one.
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Answer:
The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
that's it simple
Find the greatest common factor of the expression (8 + 12). Rewrite the expression as a multiple of a sum of two whole numbers with no common factor.
Step-by-step explanation:
To find the greatest common factor (GCF) of the expression (8 + 12), we need to first simplify the expression by finding the sum, which is 20. Therefore, the GCF of (8 + 12) is simply the GCF of 20, which is 20.
To rewrite the expression as a multiple of a sum of two whole numbers with no common factor, we can factor out the GCF of 4 from both 8 and 12, giving us:
(8 + 12) = 4(2 + 3)
The expression (8 + 12) is thus a multiple of the sum of the whole numbers 2 and 3, which have no common factor.
An employee makes $10.51 per hour but is getting a 3% increase. What is his new wage per hour to the nearest cent? What percentage of the original wage is his new wage?
The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new wage is 3%.
What is a percentage increase?A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".
Given data:
First, we find 3% of $10.51 to get new wage per hour
= 0.03$ * $10.51
= $0.32
Then, we add this increase to $10.51.
= $10.51 + $0.32
= $10.83
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Find (a) the number of subsets and (b) the number of proper subsets of the set.
The set of days of the week.
(a) The number of subsets is
(b) The number of proper subsets is
Answer:
(a) Total No. of Subsets = 128
(b) Total No. of Proper Subsets = 127
Step-by-step explanation:
First we need to define the set of days of the week.
Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
It is evident from the set of days of the week, that it contains 7 elements.
(a)
The total no. of subsets of a given set is given by the following formula:
Total No. of Subsets = 2^n
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Subsets = 2^n
Total No. of Subsets = 2^7
Total No. of Subsets = 128
(b)
The total no. of proper subsets of a given set is given by the following formula:
Total No. of Proper Subsets = (2^n) - 1
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Proper Subsets = (2^n) - 1
Total No. of Proper Subsets = (2^7) - 1 = 128 - 1
Total No. of Proper Subsets = 127
The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.
Given :
The set of days of the week.
The following steps can be used in order to determine the number of subsets and the number of proper subsets:
Step 1 - According to the given data, the set is given below:
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Step 2 - Now, the total number of subsets is given by the formula \(2^n\) where 'n' is the number of elements of the set.
\({\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128\)
Step 3 - Now, the total number of proper subsets is given by the formula \((2^n-1)\) where 'n' is the number of elements of the set.
\({\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127\)
a) The total number of subsets is 128.
b) The total number of proper subsets is 127.
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in order to build a shee you need to build 6 inches of height for a base that is 26 inches long. What is the height of a shed thats is 156 inches long?Part A: What id the equation that represents this relationship y= blankPart B: A shed that is 156 inches long is blank inches high
The sheds must be similar so we han have the relation:
\(\frac{y}{6}=\frac{156}{26}\)So we can solve for y to have an expression so:
\(y=\frac{6\cdot156}{26}\)and we can solve it so:
\(y=36\)So the shed that is 156 inches long has a high of 36 inches
A scientist needs 60 liters of a 40% solution of alcohol.He has a 30% solution and a 60% solution available.How many liters of the 30% solution and how many liters of the 60% solution should he mix to make the 40% solution?
Answer:
He should mix 25 liters of the 30% solution, and 35 liters of 60% solution.
Step-by-step explanation:
P-value test and Ctitical Value test are identical. P-value and Critical value are two different names for the same steps. They can be used interchangeably.
a. true
b. false
Answer:
Option B - False
Step-by-step explanation:
Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.
For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.
Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.
Thus, it's clear critical values are different from P-values and they can't be used interchangeably.
Multiply (-4)(-2)(-5)
Answer:
-40
Step-by-step explanation:
So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40
Horizon Financial Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March $114,900
April 106,900
May 97,300
Depreciation, insurance, and property taxes represent $24,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in June. 75% of the remainder of the expenses are expected to be paid in the month in which they are incurred, with the balance to be paid in the following month.
Prepare a schedule of cash payments for selling and administrative expenses for March, April, and May.
Answer:
Hey bro
Step-by-step explanation:
10. The table below shows the sales for a flower company for the years 2007 through 2012. Answer the given questions about
this table on your answer sheet.
14 -
A) Graph the data on the scatter plot and draw a line of best fit for the data.
FLOWER SALES
$420
Sales
$395
Year
(in
thousands)
Sales in
$370
2007 $305
thousands)
2008
$345
$330
2009
$345
$330
2010
$370
$305
2007 2008 2009 2010 2011 2012
2011
$395
2012
$420
year
B) Write an equation for the line of best fit for this data.
Let x represent the years since 2007 and y represent the
sales, in thousands of dollars.
C) According to your equation, in what year will the
sales reach about $500 (in thousands)? Use
mathematics to explain how you determined your
answer
Find the volume of the rectangular prism
Answer:
What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.
Thanks!
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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If x represents the age of the father and
y represents the present age of the son,
then the statement for 'present age of
the father is 5 more than 6 times the
age of the son' in terms of a
mathematical equation is *
Answer:
x = 5+6y
Step-by-step explanation:
Let x represents the age of the father and y represents the present age of the son.
ATQ,
The present age of the father is 5 more than 6 times the age of the son. We can write it in the form of equation as follows :
6 times the age of the son means 6y. So,
x = 5+6y
Hence, the mathematical equation is "x = 5+6y".
In 1900 Kansas City had a population of 163,000In 2020 it has a population of 1,686,000Show me exponential growthHow many years after 1900Did it take for the population to double
The exponential growth is 1.95% and after 35.72 years the population will double.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)
where a is a constant and a>1
Let's suppose the exponential growth function is:
\(\rm y = Ae^{rt}\)
A = 163,000
y = 1,686,000
t = 2020 – 1900 = 120 years
Plug all the values in the function:
\(\rm 1686000 = 163000e^{120r}\)
\(\rm e^{120r} = 10.343\)
Taking ln both side and solving:
r = 0.0194
r = 1.946 ≈ 1.95%
\(\rm 2A = Ae^{0.0194t}\) (the population to double)
After solving:
t = 35.72 years
Thus, the exponential growth is 1.95% and after 35.72 years the population will double.
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Dewayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 hour
Answer:
6/8 of a chapter
Step-by-step explanation:
3/8 = 1/2 of an hour
1/2 + 1/2 = 1
Basic Fact ^^
So, we need to add 3/8 + 3/8 or 3/8 x 2
We get : 6/8
He didn't read a whole chapter but he did read 6/8 of a chapter.
Answer:
Step-by-step explanation:
There are 60 min in an hour - 1/5 of an hour=20mim
3/8 x 5 = 15/8 = 1 & 7/8 chapters
si un angulo mide t6 cual es su medida en grados
Step-by-step explanation:
No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Perimeter and area
What is the area of the square, circle, and shaded region?
A)
B)
C)
(a) The side length of the square is 8 m, so its area is 64 square m.
(b) The radius of the circle is 4 m, so its area is \((\pi)(4^{2})=16\pi\) square m.
(c) Subtracting areas, we get the area of the shaded region is \(64-16\pi\) square m.
A 3-gallon bucket of paint costs $111.12. What is the price per quart?
Answer:
9.26 per quart
Step-by-step explanation:
A 3-gallon bucket of paint costs $111.12.
Find the price of per quart.
3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:
111.12 / 12 = 9.26
Andrei, Amit and Andrew were each asked to factor the term 20x^620x
6
20, x, start superscript, 6, end superscript as the product of two monomials. Their responses are shown below.
Andrei Amit Andrew
20x^6=(2x)(10x^5)20x
6
=(2x)(10x
5
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 2, x, right parenthesis, left parenthesis, 10, x, start superscript, 5, end superscript, right parenthesis 20x^6=(4x^3)(5x^3)20x
6
=(4x
3
)(5x
3
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 4, x, cubed, right parenthesis, left parenthesis, 5, x, cubed, right parenthesis 20x^6=(20x^2)(x^3)20x
6
=(20x
2
)(x
3
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 20, x, squared, right parenthesis, left parenthesis, x, cubed, right parenthesis
1) Which of the students factored 20x^620x
6
20, x, start superscript, 6, end superscript correctly?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Andrei
A
Andrei
(Choice B) Amit
B
Amit
(Choice C) Andrew
C
Andrew
(Choice D) None of the above
D
None of the above
Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.
Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.
Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.
Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.
Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.
The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.
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9(k+12)+4k2 when k= 3 the 2 is small
Answer:
the answer is 4k^2+9k+108
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....
\(9(k+12) + 4k^{2}\)
if k=3 we would replace all the k's with 3.
9(3+12) + 4(3)²
9(15) + 4(9)
135 + 36
171
So the answer would be 171
Hope that helps and have a great day!
A=2 b=2 c=1 Find the value of 2abcosC
Answer:
\(2abCosC = 1\)
Step-by-step explanation:
The cosine rule is
=> \(a^2= b^2+c^2-2abCosC\)
For 2abCosC, it becomes
=> \(2abCosC = b^2+c^2-a^2\)
=> \(2abCosC = (2)^2+(1)^2-(2)^2\)
=> \(2abCosC = 1\)
6. A shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandals. Write an expression for the total amount of sales the store makes.
The expression for the total amount of sales the store makes will be:25s + 28.8p
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.
Let sneakers = s
Let sandals = p
An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).
= 25s + 28.8p
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Use the diagram shown. Solve for x. Find the angle measures to check your work. (Edit: nevermind i got the answer)
Answer:
x = 9
m<AOB = 29°
m<BOC = 57°
m<COD = 29°
Step-by-step explanation:
Given:
m<AOB = (4x - 7)°
m<BOC = (5x + 12)°
m<COD = (2x + 11)°
The diagram shows <AOB is congruent to <COD.
Set both angles equal to each other to find x.
m<AOB = m<COD
4x - 7 = 2x + 11
Collect like terms
4x - 2x = 7 + 11
2x = 18
Divide both sides by 2
2x/2 = 18/2
x = 9
Find the measure of each angle by plugging in the value of x into each expression for each angle:
m<AOB = (4x - 7)° = 4(9) - 7 = 36 - 7 = 29°
m<BOC = (5x + 12)° = 5(9) + 12 = 45 + 12 = 57°
m<COD = (2x + 11)° = 2(9) + 11 = 18 + 11 = 29°
GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?
Answer:
eight point nine seven, 8+0.9+0.07
Step-by-step explanation:
What is the inverse of function f?
F(x) =3-x/7
Answer:
the answer is (D) F-1 (X) = 7x - 3
Step-by-step explanation:
What is the answer? pls
Answer:
C + D
\(\frac{3}{4} (x + 8 )= -12\)
\(\frac{3}{4} x +6 = -12\)
a manufacturer produces custom metal blanks that are used by its customers for computer-aided machining. the accompanying data (manufacturing.xlsx) were sampled from the accounting records of 40 orders filled during the previous three months. you are interested in formulating a multiple linear regression model with y as the average dollar cost per unit, x1 as the material cost per unit, and x2 as the labor hours per unit.
In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.
(a): Yes, because there is not much of a trend in the data.
(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.
(c): chose a correct residual plot
In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x
As the number of labor hours increases, the residual values from the regression also tend to increase, suggesting that the labor input is a lurking variable.
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Find the sum. 4.88 + 1.6 *
Answer:
6.48
Step-by-step explanation:
Start with:
\(4.88\)
+ \(1.6\)
I could understand why you may be confused, so one trick is to add a \(0\) next to the \(6.\)
Rewrite:
\(4.88\)
+ \(1.60\)
Add.
\(6.48\)
help i haven't done this stuff in forever
what is 500 x 25 \ 23
Answer:
543.47826087
Step-by-step explanation: