Answer: 49/200, numerador= 49
Step-by-step explanation:
which of the following describes an irrational number?
A. a repeating and non-terminating decimal.
B. a fraction
C. a terminating decimal
D. a non-terminating and non-repeating decimal
Answer:
A.
Step-by-step explanation:
B is wrong because irrational numbers can include pie.
C and D are wrong because irrational numbers don't get a whole number, and instead gives a decimal numbers.
A copy machine makes 104 copies in 3 minutes and 15 seconds. how many copies does it make per minute
Answer:
32 copiesStep-by-step explanation:
First convert 3 minutes and 15 seconds into minutes by converting 15 sec to min and add it to 3min
60 sec = 1min
15 sec = 15 / 60 × 1 min
= 0.25min
Add it to 3min
3min + 0.25min = 3.25 min
We use ratio and proportion
3.25min = 104 copies
1 min = 104× 1/ 3.25
= 104 / 3.25
= 32
The final answer is 32 copies
Hope this helps you.
Answer:
Step-by-step explanation:
3 min 15 sec = 3*60 + 15 = 180 + 15 = 195 seconds
In 195 seconds 104 copies are made
In one second, the number of copies made = [tex]\frac{104}{195}\\[/tex]
In 60 seconds, the number of copies made = [tex]\frac{104}{195}*60[/tex]
= 32 copies
In a fish tank the number of orange fish is 1 1/4 times the number of blue fish. Drag the blue fish to represent the number of blue fish in the tank dor every 5 orange fish
Answer:
4 blue fish for every 5 orange fish
Step-by-step explanation:
(orange fish) = (1 1/4)·(blue fish) . . . . . the given relation
(orange fish) = (5/4)·(blue fish) . . . . . write as improper fraction
(orange fish)/(blue fish) = 5/4 . . . . . divide by "blue fish"
There are 4 blue fish for every 5 orange fish.
What is the simple interest earned on
$300 over 6 years at 4% interest?
Answer:
$72
Step-by-step explanation:
I = Prt
I = ($300)(0.04)(6)
I = $72
Rafael is saving money to buy a game. So far he has saved $30, which is five-sixths of the total cost of the game. How much does the game cost?
Answer:
$36
Step-by-step explanation:
30 is 5/6 of the game, so we can think that 1/6 is equal to 6, since 5(6) is 30.
If we add another sixth, we get 36, which will be the total cost of the game.
To determine if a particular predictor in a regression analysis is statistically significant, which statistic should one interpret
Answer:
The test statistic used to determine whether a particular predictor in a regression analysis is statistically significant is:
[tex]t=\frac{\beta_{i}}{S.E._{\beta_{i}}}[/tex]
Step-by-step explanation:
The general form of a regression equation is:
[tex]y=\alpha +\beta_{1}x_{1}+\beta_{2}x_{2}+...+\beta_{n}x_{n}[/tex]
Here,
α = y-intercept
βi = regression coefficients, (i = 1, 2, ..., n)
A regression analysis is performed to determine whether the predictor variables are statistically significant or not.
The output of the regression analysis consists of two tables.
One is the regression output and the other is the ANOVA table.
The regression output table is used to display which predictor variables are statistically significant and which are not.
The test statistic used to determine whether a particular predictor in a regression analysis is statistically significant is:
[tex]t=\frac{\beta_{i}}{S.E._{\beta_{i}}}[/tex]
And the ANOVA table displays overall regression analysis.
The F-test statistic is used to for the overall regression analysis.
Thus, the test statistic used to determine whether a particular predictor in a regression analysis is statistically significant is:
[tex]t=\frac{\beta_{i}}{S.E._{\beta_{i}}}[/tex]
The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24,
algebraically are shown in the table.
Answer:
C
Step-by-step explanation:
(3,15) and (4,12)
Answer:
C or (3, 15) and (4, 12)
Step-by-step explanation:
I just took the test on Edge 2020
Evauluate 37/100+3/10
Answer:
67/100
Step-by-step explanation:
Find common denominators, note that what you do to the denominator, you must do to the numerator.
The common denominator is 100:
(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100
Add:
37/100 + 30/100 = 67/100
67/100 is your answer.
~
Answer:
67/100
Step-by-step explanation:
37/100+3/10
Get a common denominator
37/100 + 3/10 *10/10
37/100+30/100
67/100
P(x)⋅Q(x)=R(x); if P(x)=x+2 and R(x)=x3−2x2−6x+4, what is Q(x)?
Answer: Q(x) = x² - 4x + 2
Step-by-step explanation:
P(x) · Q(x) = R(x) ⇒ Q(x) = R(x)/P(x)
R(x) = x³ - 2x² - 6x + 4 ÷ P(x) = x + 2
I will use synthetic division (but you can also use long division).
-2 | 1 -2 -6 4
| ↓ -2 8 -4
1 -4 2 0 ← remainder
The reduced polynomial is: x² - 4x + 2
Find the first, fourth, and eighth terms of the sequence.
A(n) = -2x2^n-1
Answer:
first term = -2
fourth term = -16
eighth term = -256
Step-by-step explanation:
Given;
A sequence with function;
A(n) = -2x2^(n-1)
The first, fourth, and eighth terms of the sequence can be calculated by substituting their corresponding values of n;
First term A(1); n = 1
A(1) = -2x2^(1-1) = -2×1 = -2
Fourth term A(4); n = 4
A(4) = -2x2^(4-1) = -2×8 = -16
Eighth term A(8); n = 8
A(8) = -2x2^(8-1) = -2×128 = -256
Therefore,
first term = -2
fourth term = -16
eighth term = -256
Please help me find the sign of f
Answer: B. f is always negative on the interval
========================================================
Explanation:
-1/5 = -0.2
Pick any number for x that will make the interval -0.2 < x < 2 to be true. I find x = 0 to be easiest.
Plug it into f(x)
f(x) = (5x+1)(4x-8)(x+6)
f(0) = (5(0)+1)(4(0)-8)(0+6)
f(0) = (1)(-8)(6)
f(0) = -48
We get a negative result.
So we can rule out choice A which says that f is always positive. Either f is always negative on this interval, or it's a mix of being positive and negative.
-------------
Note that the roots of f(x) are -1/5, 2 and -6. This is from solving f(x) = 0
Use the zero product property to solve (5x+1)(4x-8)(x+6) to find the three roots mentioned.
The roots of -1/5 and 2 form the boundary of the interval mentioned at the top of the problem. There are no roots in between -1/5 and 2, so this means that f(x) stays entirely negative on this interval. There is no way f(x) becomes positive on this interval because it would have to cross over the x axis, thus forming another root. But again there are no roots between -1/5 and 2.
A graph confirms we have the correct answer. Check out the image attached below. Note the portion from x = -0.2 to x = 2 is entirely below the x axis.
Robert wants to arrange the books for statistics, calculus, geometry, algebra, and trigonometry on a shelf. In how many arrangements can he keep them on the shelf such that the algebra and trigonometry books are not together?
Answer: 72 arrangements
Step-by-step explanation:
The books are:
Statistics, calculus, geometry, algebra, and trigonometry.
So we have 5 books.
We want that algebra and trigonometry are not together.
Suppose that we have 5 positions:
Now, we can start with algebra in the first position.
Now, we have 3 positions for trigonometry (3rd, 4th and 5th).
Now, once those two books are in position, we have 3 other positions and 3 other books, so for the first selection we have 3 options, for the second position we have 2 options, and for the last option we have 1 option.
The number of combinations is equal to the number of options in each selection:
3*(3*2*1) = 18
Now, if Algebra is in the second place, then for trigonometry we have only 2 possible options (4th and 5th)
and for the other 3 books again we have 3*2*1 combinations:
the total number of combinations is:
2*(3*2*1) = 12
If algebra is in the 3rd position, trigonometry has 2 options (1st and 5th)
For the other 3 books, we have 3*2*1 combinations.
The total number of combinations is:
(3*2*1)*2 = 12
in the fourth position is the same as the second position, so here we have again 12 combinations.
For the fifth position is the same as for the first position, so we have 18 combinations.
The total number of combinations is:
C = 18 + 12 +12 +12 +18 = 72
What is the measure of cuz
Answer:
D. 65°
Step-by-step explanation:
The measure of the angle at crossed chords is the average of the measures of the intercepted arcs:
m∠XYZ = (1/2)(arc XZ +arc WV)
m∠XYZ = (1/2)(86° +44°) = 130°/2
m∠XYZ = 65°
Which equation represents the total cost (c) of purchasing cans of vegetables(v) at a price of $1.18 per can? What is the total cost to purchase 98 cans of vegetables? Question 10 options: A) c = 1.18v; $83.05 B) v = 1.18c; $83.05 C) c = 1.18v; $115.64 D) v = 1.18c; $115.64
Answer:
C
Step-by-step explanation:
The equation must be equal to c since that is the total cost.
c = 1.18v
Plug in 98 for v to find the answer.
c = 1.18(98)
c = $115.64
if he allows 40 people to choose a treat from the bag about how many lizard lollis can he expect to give away
Answer:
20 Lizard lollies.
Step-by-step explanation:
There are 10 lizard lollis. This is out of 10+4+6 = 20 total treats. This makes the probability of drawing a lizard lollis 10/20 = 1/2.
This means out of 40 treats handed out, we can expect him to give out 1/2(40) = 20 lizard lollis.
Members of a gymnastics team are traveling to a tournament. They must pay $250 for a bus plus $40 per athlete to register for the tournament. What is the average total cost per athlete if 20 gymnasts attend? Do not include the dollar sign ($) in your answer.
Answer:
1050 in total, 52.50 for each athlete
Step-by-step explanation:
We can start by writing an equation with x as the number of athletes
250+40x= Total cost
Now we can substitute 20 for x
250+40(20)
250+800
1050
The total cost is 1050
If you need the amount that each athlete is paying individually, just divide it by 20
1050/20=52.50
52.50 for each athlete
Triangle ABC is a right triangle. The sides measure AB = 3 and BC = 4. Use the Pythagorean theorem to find CA. A. CA = 25 B. CA = 2.5 C. CA = 20 D. CA = 5
Answer:
CA = 5
Step-by-step explanation:
Since the sides are 3 and 4, we recognize this as a 3:4:5 right triangle, with CA = 5. Using the Pythagorean theorem confirms this:
CA² = AB² +BC²
CA² = 3² +4² = 9 +16 = 25
CA = √25
CA = 5
Answer:
D. CA = 5
Step-by-step explanation:
The Pythagorean Theorem states that given a right triangle with legs a and b and hypotenuse (longest side) c:
a² + b² = c²
Here, the legs are 3 and 4, so a = 3 and b = 4. Plug these in to find c:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
c = √25 = 5
The answer is thus D.
~ an aesthetics lover
plz answer question in screen shot
Answer:
200√3
Step-by-step explanation:
The triangle given here is a special right triangle, one with angles measuring 30-60-90 degrees. The rule for triangles like these are that the side opposite the 30° angle can be considered x, and the side opposite the 60° angle is x√3, while the hypotenuse, or side opposite the right angle, is 2x. All we need to know here are the two legs to find the area.
Since b is opposite the 30° angle, it is x, while side RS is opposite the 60° angle, meaning it is equal to x√3, meaning that the area of the triangle is 1/2*x*x√3. We can substitute in 20 for x, making our area 1/2*20*20√3. Multiplying we get 10*20√3, or 200√3.
which of these 3 curves drawn matches the graph of y=2x^2+x
Answer:
Slope: 1
y-intercept: 8
Step-by-step explanation:
x, y
-8,0
0,8
An item has a listed price of $30 if the sales tax rate is 7% how much is the sales tax in dollars
Answer:
The sales tax is 2.10
Step-by-step explanation:
Take the price of the item and multiply by the sales tax rate to determine the tax
30 * 7%
30 * .07
2.10
The sales tax is 2.10
Ronnie goes to the racetrack with his buddies on a weekly basis. One week he tripled his money, but then lost $12. He took his money back the next week, doubled it, but then lost $40. The following week he tried again, taking his money back with him. He quadrupled it, and then played well enough to take that much home, a total of $224. How much did he start with the first week?
Answer:
20
Step-by-step explanation:
224÷4 = 56+40 = 96÷2 = 48+12 = 60÷3 = 20
If Ronnie goes to the racetrack with his buddies on a weekly basis. How much did he start with the first week is $20.
How much did he start with?Hence:
4 [2 (3x - 12) -40] = 224
4 [6x - 24 - 40] = 224
Collect like term
24x - 256= 224
24x/24 = 480/24
Divide both side by 24
x=480/24
x=$20
Therefore How much did he start with the first week is $20.
Learn more about How much did he start with here:https://brainly.com/question/25870256
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Ross needs to buy a countertop for a laundry room. He calculated the area to be 12 square feet. The actual area is 11.8 square feet. What is Ross's percentage error? a.1.02% b.1.69% c.20% d.98%
Answer:
b. 1.69
Step-by-step explanation:
So to solve this problem we need to simply find the percentage increase from 11.8 to 12 =>
to solve this we would do 12 - 11.8 = 0.2 --> 0.2 is our "difference in the increase" -->
now we divide this by our amt. which is 11.8 --> 0.2/11.8 = approx. 0.0169
--> finally multiply that by 100 which is simply moving the decimal places 2 places right giving us the final answer of 1.69
Hope this helps!
Answer:
B. 1.69%
Step-by-step explanation:
If Ross calculated the countertop for a laundry room to be 12 square feet but turns out to be actually 11.8 square feet, we need to find out how much percentage error Ross has made!
In order to solve this question,
1) We need to create proportions:
Ross' calculations x
______________ = _________
actual area 100
x represents the percentage error.
100 is the total percentage.
2) Now we plug in the numbers:
We plug in 12 for Ross' calculations. We plug in 11.8 for the actual area. So, it will look like this:
12 x
______ = _______
11.8 100
3) Time for cross multiplication:
12 times 100 is 1,200
11.8 times x is 11.8x
So,
1,200 = 11.8x
4) Now we divide:
1,200 divided by 11.8 equals to 101.69 %
5) We are not done! We still have to subtract:
101.69
-100.00
_______
1.69
Finished!!
Our answer is 1.69%, which is B.
Hope this was helpful !!!
g Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with lamda = .2. a) What is the probability that a disk has exactly one missing pulse? b) What is the probability that a disk has at least two missing pulses? c) What is EX
Answer:
a) P(1) = 0.1637
b) [tex]P(x\geq 2) = 0.0176[/tex]
c) E(x) = 0.2
Step-by-step explanation:
If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:
[tex]P(x)=\frac{e^{-m}*m^x}{x!}[/tex]
Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:
[tex]P(1)=\frac{e^{-0.2}*0.2^1}{1!}=0.1637[/tex]
Additionally, the probability that a disk has at least two missing pulses can be calculated as:
[tex]P(x\geq 2)=1-P(x<2)[/tex]
Where [tex]P(x<2)=P(0)+P(1)[/tex].
Then, [tex]P(0)[/tex] and [tex]P(x\geq 2)[/tex] are calculated as:
[tex]P(0)=\frac{e^{-0.2}*0.2^0}{0!}=0.8187\\P(x\geq 2) = 1 - (0.8187 + 0.1637)\\P(x\geq 2) = 0.0176[/tex]
Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2
Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars).
Weekly Usage
(hours) Annual Maintenance
Expense ($100s)
13 17.0
10 22.0
20 30.0
28 37.0
32 47.0
17 30.5
24 32.5
31 39.0
40 51.5
38
40.0
(a) Use the data to develop an estimated regression equation that could be used to predict the annual maintenance expense for a given number of hours of weekly usage. What is the estimated regression model?
Let x represent the number of hours of weekly usage.
If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
(b) Test whether each of the regression parameters β0 and β1 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
(c) How much of the variation in the sample values of annual maintenance cost does the model you estimated in part (b) explain?
If required, round your answer to two decimal places.
(d) If the maintenance contract costs $3000 per year, would you recommend purchasing it? Explain.
Answer:
Step-by-step explanation:
Hello!
The given data corresponds to the variables
Y: Annual Maintenance Expense ($100s)
X: Weekly Usage (hours)
n= 10
∑X= 253; ∑X²= 7347; [tex]\frac{}{X}[/tex]= ∑X/n= 253/10= 25.3 Hours
∑Y= 346.50; ∑Y²= 13010.75; [tex]\frac{}{Y}[/tex]= ∑Y/n= 346.50/10= 34.65 $100s
∑XY= 9668.5
a)
To estimate the slope and y-intercept you have to apply the following formulas:
[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95[/tex]
[tex]a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53[/tex]
^Y= a + bX
^Y= 10.53 + 0.95X
b)
H₀: β = 0
H₁: β ≠ 0
α:0.05
[tex]F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}[/tex]
F= 47.62
p-value: 0.0001
To decide using the p-value you have to compare it against the level of significance:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The decision is to reject the null hypothesis.
At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.
b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.
a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.
c)
The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:
[tex]R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86[/tex]
This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X
d)
Without usage, you'd expect the annual maintenance expense to be $1053
If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553
If used 1000 hours weekly the expected maintenance expense will be $96053
It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.
If s=1/2 unit and A=12s^2, what is the value of A, in square unit?
Answer:
3 square units
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
A = 12(1/2)² = 12(1/4) = 3 . . . square units
__
Comment on the working
It might be helpful to you to see how this works when the units of the number are attached to the number.
A = 12(1/2 unit)² = 12(1/2 unit)(1/2 unit) = 12(1/2)(1/2)(unit)(unit) = 3 unit²
I often choose to keep the units with the numbers, just to make sure that the numbers and units are correct. For example, you can multiply inches by feet, but you get in·ft, which is not square inches and not square feet. You have to do a conversion to get the result in square units.
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc) estimate Create a t-chart to graph the coordinates Find the 0's of the function Solve for y and use the slope-intercept form
Answer:
creat a t-chart to graph the coordinates.
A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only wants a 5% margin of error at a 97.5% confidence level, what size of sample is needed? When finding the z-value, round it to four decimal places.
Answer:
The sample size required is, n = 502.
Step-by-step explanation:
The (1 - α)% confidence interval for population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}[/tex]
The margin of error is:
[tex]MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}[/tex]
Assume that 50% of the people would support this political candidate.
The margin of error is, MOE = 0.05.
The critical value of z for 97.5% confidence level is:
z = 2.24
Compute the sample size as follows:
[tex]MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]
[tex]=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502[/tex]
Thus, the sample size required is, n = 502.
For a segment of a radio show a disc jockey can play 10 records. If there are 12 records to select from in how many ways can the program for this segment be arranged
Answer:
66 different waysStep-by-step explanation:
This is a combination question. Combination has to do with selection. For example if r objects are to be selected from n pool of oblects, this can be done in nCr number of ways.
nCr = n!/(n-r)r!
According to the question, if a radio show can only play 10 records out of 12 records available, this can be done in 12C10 number of ways.
12C10 = 12!/(12-10)!10!
= 12!/2!10!
= 12*11*10!/2*10!
= 12*11/2
= 6*11
= 66 different ways
If y= -3x7+2x3+ x, the derivative of y with respect to x is
Answer:
[tex]\frac{dy}{dx}[/tex] = - 21[tex]x^{6}[/tex] + 6x² + 1
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = - 3[tex]x^{7}[/tex] + 2x³ + x , then
[tex]\frac{dy}{dx}[/tex] = (7 × - 3 )[tex]x^{6}[/tex] + (3 × 2)x² + (1 × 1 )[tex]x^{0}[/tex]
= - 21[tex]x^{6}[/tex] + 6x² + 1
Licence plates in Costa Rica are made up of 6 one-digit number. How many license plates can be made if the numbers can be repeated? (Probability unit grade 12 data management)
Answer:
There are 10 digits and 6 numbers so the answer is 10 * 10 * 10 * 10 * 10 * 10 = 10⁶ = 1,000,000.