Answer:
10.84
Step-by-step explanation:
1.025*5+1.143*5=10.84
Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Answer:
(a) [tex]\frac{620}{3195}[/tex]
(b) [tex]\frac{645}{3195}[/tex]
Step-by-step explanation:
Relative frequency of an event = Event Frequency/Total Frequency
In this case the event is the number of responses for each reason and the total frequency is the sum of all responses.
Total Responses = 583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195
(a) What is the relative frequency for the reason "study hard"?
= Number of responses for "study hard" / 3195
= 620/3195
==> [tex]\frac{620}{3195}[/tex] Answer to (a)
(b) What is the relative frequency for the reason "have a goal in mind"?
= Number of responses for the reason "have a goal in mind"/3195
= 645/3195
==> [tex]\frac{645}{3195}[/tex] Answer to (b)
I think it is OK to leave it as it is without reducing the fraction any further
Use the definition of complementary angles to solve for x.
Answer:
x = 4 and x = 7
Step-by-step explanation:
→ Find the sum of both the angles
3x + x + 74 = 4x + 74
6x + x + 13 = 7x + 13
→ Equate both equations to 90
4x + 74 = 90
7x + 13 = 90
→ Minus 74 and 13
4x = 16
7x = 77
→ Divide by 4 and 7 respectively
x = 4 and x = 7
____________________________________________________________
______________________________
You throw a fair six-sided die twice, each number has the same probability,
then add the two numbers. What is the probability of getting a number
divisible by five ?
The probability of getting a number divisible by five is 1 / 9.
We are given that:
a fair six-sided die is thrown 2 times.
Sample space will be:
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Let E = probability of getting a number divisible by five
Possible outcomes:
= { (1, 4), (2, 3), (3, 2), (4, 1) }
P(E) = 4 / 36 = 1 / 9
Therefore, the probability of getting a number divisible by five is 1 / 9.
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PLS HELP -8+13+(-13)!!!!
Answer:
-8
Step-by-step explanation:
Given the following question:
-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8
Hope this helps.
Hello..!
[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]
[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]
First, to solve the problem we take into account the Law of Signs:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]
Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]
Then we must subtract knowing that when there is a minus and a plus it is automatically minus
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]
Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]
¿Doubts? in the comments
a runner does a lap on the track for every 5 minutes. he start at 4:15 p.m. if he rest every 3 minutes what time will he complete the fourth lap
Answer: 4:42
Step-by-step explanation:
what is the nth term of 1, 3, 9
Answer:
3ⁿ
Step-by-step explanation:
The nth term is:
3ⁿ
Which expression is equivalent to , if y ≠ 0?
A.
B.
C.
D.
Answer:
is there more??? i don't have a enough info
Step-by-step explanation:
Determine the sum of (8x1 – x + 4) and (3x + 5)
Answer:
x = 1/9
Step-by-step explanation:
8x¹ - x +4 can be also written as 7x + 4 or 7x = -4
And 3x + 5 can be written as 3x = -5
So,
7x = -4
-(3x = -5)
4x = 1
x = 1/9
QUESTION 4
Which of these is not a very good example of a command economy?
a.)China
b.)Soviet Union
c.)United States during WWII
d.)United States today
(d) the Present United States is not a good example of a command economy.
A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.
The principal alternative to a command economy is a free market b where supply and demand determine prices and output.
A communist political system includes a command economy, whereas capitalist countries have a free market.
Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.
The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.
There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.
Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.
Hence, the United States today is not a very good example of a command economy.
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HELP ASAP!!!
Evaluate the polynomial for the given value by using synthetic division.
P(x) = 3x4 - x³ + 7x - 2 for x = 4 and x = -2
A.802; 52
B.-238; 32
C.730; 40
D.202; -44
Answer:
I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4
Step-by-step explanation:
3. Clearcut Lumber sells its dimensional lumber with a markup of 60%
What rate of margin do they use?
A batch of plywood sells for $500 what was the cost?
Fence posts with a cost of $10 would sell for how much?
The gross profit on the sale of some 4 by 4's was $50 what was the selling price?
The rate of margin used is 37.5% . The cost price of the batch of plywood is $312.5. Fence post sell for $16. The selling price was $133.33
Margin is the difference between the Selling price and the cost price. The price at which a item is sold is called the selling price and the price at which an item is bought is called the cost price.
The given markup is 60%.
We know that margin=markup÷(1+markup)
markup=60%
Substituting the values we get the rate of margin:
[tex]=\frac{\frac{60}{100} }{1+\frac{60}{100} } \\=\frac{60}{160}\\ =37.5[/tex]
Hence the rate of margin is 37.5 %.
Selling price for the plywood=$500
We know that selling price=cost price ÷(1-margin)
Let the cost price be x
[tex]x=500(1-\frac{37.5}{100} )\\x=312.50[/tex]
The cost price is $ 312.50 .
Now cost of fence = $10
Selling price of fence=cost price÷(1-margin)
substituting the values we get:
Selling price =10÷0.625
or, selling price= $16
Therefore the selling price is $16 .
Now we know that Markup percentage= profit÷ cost price
Substituting the values we get:
[tex]60\% = \frac{50}{CP}\\or,\frac{60}{10}=\frac{50}{CP}\\or,CP=83.33[/tex]
Therefore sell price=cost price+ profit
or, sell price=83.33+50
or, sell price =133.33
The sell price is $133.33
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Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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PLEASE ANSWER THIS QUESTION QUICKLY!
Solve by factoring:
2(m-1)^2-11(m-1)+5=0
Give either of the two solutions.
Rules answering these questions:
Show your work!
Explain your answer!
Nonsense answer will be reported and delete your answer!
Do not spam answers!
Thanks!
Determine whether the following argument is inductive or deductive:
"The last mayor was honest. The current mayor is honest. All mayors are honest."
Answer:
Inductive
Step-by-step explanation:
The given argument presented is an example of inductive reasoning.
What is inductive reasoning?Inductive reasoning entails drawing broad generalizations based on a small number of observations, and the conclusion is not necessarily guaranteed to be correct, but simply likely based on the data.
The argument presented is an example of inductive reasoning, because it is based on a specific observation and a generalization that goes beyond the available evidence.
While the previous and current mayors may be honest, based on this limited evidence, it is not necessarily true that all mayors are honest.
The argument makes the assumption that the honesty of these two persons is indicative of all mayors, which is a conclusion based on little evidence.
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I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
Answer:
No
Step-by-step explanation:
The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.
See the attached screenshot.
The Area of the given composite shape is; 40 square units
What is the Area of the Composite Shape?
We can breakdown the shape into triangle and rectangle and as such we know that;
Formula for area of triangle is;
Area = ¹/₂ * base * height
Formula for area of rectangle is;
Area = Length * Width
Thus;
Area of composite shape = (10 * 3) + (¹/₂ * 10 * 2)
Area of composite shape = 30 + 10
Area of composite shape = 40 square units
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The table below shows the frequency distribution of the rainfall on 52 consecutive saturdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
Looking at the histogram in C(3rd) we know that it is not symmetric. We can not(can’t) say that it is approximately normal. Hence, C is the correct answer.
What is a histogram?
A histogram is a graph that shows the frequency of numerical data using blocks. The height of a cube( the perpendicular axis) represents the distribution frequency of a variable( the quantum, or how frequently that variable appears). A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups figures into ranges. high bars show that further data falls in that range. A histogram displays the shape and spread of nonstop sample data. Histograms fantasize quantitative data or numerical data, whereas bar maps display categorical variables.From the frequency table, we get the frequency of the first class is 20(twenty), and for the second(2) class it is 10(ten) also the remaining frequencies are correctly shown by the histogram shown in option C.
Hence, C is the correct(right) answer.
Looking at the histogram in C(3rd) we know that it is not symmetric. Hence we can not(can’t) say that it is approximately normal.
Hence C. No it is not symmetric is the correct(right) answer.
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1. Which of the following sequences are arithmetic?
For those sequences that are arithmetic, identify
d and write an expression for an, in terms of n, the
term number.
I. 100, 98, 96, 94, . . .
II.
64, 32, 16, 8, ...
III. 2¹+1, 22+1, 23 +1,24 + 1,...
IV.
3 13 17 7
4'12'12'4
.....
The arithmetic sequence from the collection is I
an = 100 +( n + 1) 2
What is an arithmetic sequence?For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.
The nth term of an arithmetic sequence is expressed as;
[tex]an = a + ( n + 1) d[/tex]
Thus, the arithmetic sequences are given as follows:
100, 98, 96, 94, . . . d = 2For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:
The nth term is given as;
an = 100 +( n + 1) 2
Thus, the arithmetic sequence from the collection is I
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Please hurry
Solve for c.
a = 11+4b- 4c
i think c is correct
Answer:
I'm not sure, but what I got as my answer was c= -a/4 + 11/4 + b
Step-by-step explanation:
ng Task 4. Select appropriate numbers divisible by 2, our answer on your notebook. isible by 2 Divisible by 5 105 238 400 906 260 360 450 745 110 270 110 565 105 85 390 210 Divisible E 260 390 450 400 400 110 775 260 450 210 105 54 450 270 210 766 183 553 365 390 775 906 34 260 745 745 400 438 321 238 85 360 110 565 347
Answer:
238, 400, 906, 360, 450, etc. and all numbers ending in 0, 2, 4, 6, 8.
Step-by-step explanation:
All even numbers are divisible by 2.
An even number is an integer whose ones digit is a 0, 2, 4, 6, o5 8.
Solve for n
s = 4n+4v
We get the equation in terms of n as n = s / 4 - v.
Equation:
An equation is an expression with an equal sign.
For example:
3 x + 4 y = 5
2 x + 5 y = 9 etc.
We are given an equation:
s = 4 n + 4 v
We have to solve this for n.
First we will subtract 4 v from both sides:
s - 4 v = 4 n + 4 v - 4 v
s - 4 v = 4 n
4 n = s - 4 v
Now divide both the sides by 4:
4 n / 4 = (s - 4 v) / 4
n = s / 4 - v
Therefore, we get the equation in terms of n as n = s / 4 - v.
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What are the coordinates of (-4,-2) rotating 90° counterclockwise?
Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object turns the object around a fixed point called the center of rotation.
A rotation of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
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The price of a computer is 899.00. The sales tax is 7%. What is the sales tax on this computer in dollars and cents?
Answer:
$62.93
Step-by-step explanation:
Convert 7% to a decimal and multiply by the price:
$899.00 x .07 = $62.93
find the quotient 17 ÷ 6 8/10
The ratio of EQUATION the outcome is (17/6)/(8/10) = 3.5416667.
What in mathematics is a quotient?The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.
based on the available facts;
Divide: 17/6 : 8/10
= 17/6· 10/8
= 17 · 10/6 · 8
= 170/48
= 85/ 24
= 85/24
When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction is the first sub-step. For example, the reciprocal of 8/10 is 10/8. Multiply the two numerators after that. Multiply the two denominators after that. The intermediate step that comes after canceling by a common factor of 2 yields 85/24.
Therefore, eight tenths of seventeen sixths equal eighty-five twenty-fourths.
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What is 9.06 divided by 9?
If lineman works 9-
hours a day on a certain job at $26.00 per hour, what is the pay for a day?
Answer:
234$
Step-by-step explanation:
9x26=234
A crab moves at a speed of 0.14 kilometers per hour. How far can it travel for 0.25 hours?
Answer:
0.14×0.25= 0.035 KM
so it can travel 0.035KM in 0.25 hr
Answer:
0.035 kilometers
Step-by-step explanation:
Proportions:
0.14 kilometers ⇒ 1 hour
A kilometers ⇒ 0.25 hour
A = 0.14 kilometers * 0.25 hour / 1 hour
A = 0.035 kilometers
A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $1.90 and then an additional 6 cents per minute of use. In
Plan B, there is no monthly fee, but the customer pays 7 cents per minute of use.
For what amounts of monthly phone use will Plan A Cost than Plan B?
Use m for the numbers of minutes of phone use in a month, and solve your inequality for m.
Step-by-step explanation:
sadly you skipped the key word in the question.
should we check under what circumstances plan A costs more than plan B ? or costs less than plan B ?
so, I don't know which inequality to solve.
but I can tell you the facts, and you need to pick the right direction for your answer.
cost of plan A for used minutes m :
cA(m) = 1.9 + 0.06m
plan B
cB(m) = 0 + 0.07m = 0.07m
to find the intersecting point, where both plans cost the same :
1.9 + 0.06m = 0.07m
1.9 = 0.01m
m = 1.9 / 0.01 = 190 minutes
up until 190 minutes plan B is cheaper.
if there are more than 190 minutes, than plan A is cheaper.
so,
m < 190 B is cheaper
m > 190 A is cheaper
m = 190 A and B cost the same
What is the perimeter of quadrilateral EFGH?
Answer:
54 units
Step-by-step explanation:
From G to H, use the Pythagorean Theorem:
[tex]3^2+4^2=\sqrt{25} =\fbox{5}[/tex]
From G to F, just count:
[tex]\fbox{11}[/tex]
From H to E, use the Pythagorean Theorem:
[tex]12^2+5^2=\sqrt{169}=\fbox{13}[/tex]
From F to E, use the Pythagorean Theorem:
[tex]15^2+20^2=\sqrt{625}=\fbox{25}[/tex]
Now, add up all the answers:
[tex]5+11+13+25=\fbox{54}[/tex]
