H (4.84) will be the correct answer
Answer: You are correct. The answer is choice (H) 4.84
======================================================
Explanation:
10% = 10/100 = 0.1
10% of 4.4 = 0.1*4.4 = 0.44
Increasing 4.4 by 10% means we add on 0.44 to get 4.4+0.44 = 4.84
So the ruler says 4.4 inches but the actual table could be as long as 4.84 inches.
---------
A shortcut is to compute it like this:
4.4*1.1 = 4.84
The multiplier 1.1 represents an increase of 10% because
1.1 = 1 + 0.1 = 100% + 10%
This shortcut allows for multiple percentage increases that can be chained together fairly quickly.
Solving Equations with the Variable on Each Side:
-6 - 9 x = - 9 x - 4
Answer:
No solution
Step-by-step explanation:
To isolate the variable, begin by adding 9x to each side
-6 - 9x = -9x - 4
-6 - 9x (+ 9x) = -9x (+ 9x) - 4
-6 ≠ -4
The equation in your answer has no solution. If you are supposed to find the value of x, you might want to double check for typos.
Write as a polynomial:
2a^2(a-1)(3-a)
Answer:
-2a^4+8a^3-6a^2
Step-by-step explanation:
2a^2(a-1)(3-a)
2a^2(-a^2 +3a-3+a)
2a^2(-a^2+4a-3)
-2a^4+8a^3-6a^2
Mr. Wilkerson bought frozen treats for 34 children. Each child picked either a popsicle or an ice cream bar. Each popsicle cost $2 and each ice cream bar cost $5. If Mr. Wilkerson spent a total of $128, how many of each type of treat did he buy?
Answer: He bought 20 ice cream bars and 14 popsicle
Step-by-step explanation:
To solve this I used the elimination method, you could use substitution as well
Here are our two equations
x+y=34 Because the total number of ice creams bought must be given to 34 children and no more
2x+5y=128 because that is the cost for each ice cream and the amount he spent
For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68
2x+5y=128 Then we get
3y=60 so
y=20
Now we can go back to the first equation and plug in y.
x+20=34
-20 -20
x=14
So he bought 14 popsicles and 20 ice cream bars.
tan 20° tan40° tan 80°= tan
60°
what is the question
A number decreased by 14 is -46. Find the number.
Answer:
-60
Step-by-step explanation:
-46-14=-60
Answer:
-46-14=-60
Step-by-step explanation:
A wise man once said, "400 reduced by 3 times my age is 250." What is his age? show work
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answer:
There is a 38% chance at least 1 was blue
Step-by-step explanation:
there are 8 marbles total 3 being blue. 3/8= .375 = 38%
The probability of getting at least 1 blue marble in the given situation is 0.375, i.e., 37.5%.
Probability is the ratio of favorable outcomes to the total number of outcomes.
It is given that there are 3 blue and 5 red marbles in the bag.
Therefore, the total number of marbles in the bag is 8.
Let's take two scenarios, one when one blue marble and one red marble are drawn and the second one when both marbles drawn are blue.
Let B and R be the events of drawing a blue marble and red marble, respectively.
Case 1:
The probability of getting one blue and one red marble is calculated as follows:
\(P(B =1, R=1) = \dfrac{3}{8}\times\dfrac{5}{7}\)
\(= \dfrac{15}{56}\)
Note that the replacement is prohibited.
Case 2:
The probability of getting two blue marbles is calculated as follows:
\(P(B =2) = \dfrac{3}{8}\times\dfrac{2}{7}\)
\(= \dfrac{6}{56}\)
The probability of getting at least 1 blue marble is given as follows:
\(P(B\ge1) = P(B =1, R=1) + P(B =2)\)
\(= \dfrac{15}{56}+ \dfrac{6}{56}\\= \dfrac{21}{56}\\=\dfrac{3}{8}\\= 0.375\)
Therefore, the probability of getting at least a blue marble is 0.375.
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Question 1: A store pays $50 for a pair of shoes. The markup is 25%.
What is the selling price for the shoes?
———————————————
Question 2 (apart of previous question): what is the total cost for a person to buy the shoes including a 6% sales tax?
Answer:
1) selling price is $62.50 and 2) total cost would be $66.25
Step-by-step explanation:
Describe the difference between null vs alternative hypothesis
Statistical hypothesis testing employs the null and alternate hypotheses.
The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.
A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.
Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.
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520 feet in 16 seconds
Write the following rate as a unit rate
Please help Asap
Answer:
520 per 16 seconds.
Step-by-step explanation:
I need help with this equation it is due today
Answer:
x = 105
Step-by-step explanation:
Do take note for this question, the main goal is to remove the cube root, to do that, we have cube the cube root.
\(\frac{\sqrt[3]{2x+6} }{3} - 8 = -6\\ \frac{\sqrt[3]{2x+6} }{3} = 2\\ \sqrt[3]{2x+6} =6\\(\sqrt[3]{2x+6} )^3=6^3\\ 2x+6 = 216\\ 2x=210\\ x=\frac{210}{2} \\ x=105\)
Factor 42u–18v.
Write your answer as a product with a whole number greater than 1.
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
\((2m+4)^2-4(4-m)(8m+1)\)
(That is, for a quadratic \(ax^2+bx+c\), the discriminant is \(b^2-4ac\).)
Set the discriminant equal to 0 and solve for \(m\):
\((2m+4)^2-4(4-m)(8m+1)=0\)
\(4m^2+16m+16+32m^2-124m-16=0\)
\(36m^2-108=0\)
\(36m(m-3)=0\)
\(\implies m=0\text{ or }m=3\)
Please help me ill mark u as brilliant
Answer:
see explanation
Step-by-step explanation:
Given
cotθ = \(\frac{4}{5}\) = \(\frac{adjacent}{opposite}\)
Use Pythagoras' identity to calculate the hypotenuse h
h² = 4² + 5² = 16 + 25 = 41 ( take square root of both sides )
h = \(\sqrt{41}\)
θ is in quadrant III where sinθ < 0 and secθ < 0
sinθ = \(\frac{opposite}{hypotenuse}\) = - \(\frac{5}{\sqrt{41} }\) = - \(\frac{5\sqrt{41} }{41}\)
cosθ = \(\frac{adjacent}{hypotenuse}\) = - \(\frac{4}{\sqrt{41} }\)
secθ = \(\frac{1}{cos0}\) = - \(\frac{\sqrt{41} }{4}\)
X
f(x)
Based on the table, which best predicts the end
18
behavior of the graph of f(x)?
3
9
As .
- 0o, f(x)
[infinity]o and as x
2
f(x) -
6
As x
AwNo
f(x) co and as x 1 -0o f(x)
3
As
00, f(x)
-oo, and as
f(x)
0
As X - co, f(x)
o and as X
1oo, f(x) -+00
-3
-18
The behavior of the graph of f(x) as x approaches infinity can be best predicted by the last row of the table.
As x approaches positive infinity, f(x) approaches positive infinity. This can be seen from the values in the last row whereas x increases, the corresponding values of f(x) increase without bound. Therefore, the graph of f(x) will have an asymptote at y = infinity as x approaches infinity. Similarly, as x approaches negative infinity, f(x) approaches negative infinity, as seen from the first row of the table.
Therefore, the graph of f(x) will have an asymptote at y = negative infinity as x approaches negative infinity.
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the breath of a rectangle Garden is all of its length if the area of Garden is 162 m square find its perimeter
The perimeter of the rectangle garden is approximately 50.92 meters.
How to find the perimeter of garden?Let the length of the rectangle garden be L, and let its breadth be B.
From the given information, we know that the area of the garden is 162 square meters, so we can write:
L * B = 162
We also know that the breadth of the garden is equal to its length, so we can substitute L for B:
L * L = 162
Simplifying this equation, we get:
L^2 = 162
Taking the square root of both sides, we get:
L = 12.73 (approx.)
Now that we know the length of the garden, we can use it to find the breadth:
B = L = 12.73
The perimeter of the garden is given by:
P = 2L + 2B
Substituting the values we found for L and B, we get:
P = 2(12.73) + 2(12.73)
P = 50.92 (approx.)
Therefore, the perimeter of the rectangle garden is approximately 50.92 meters.
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Refer to Table S6.1- Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results Hour X R Hour x R Hour x R Hour x 1 3.35" 0.76" 2 3.00 1.23 3 3.32 1.43 4 3.49 1.21 5 3.17 1.17 6 2.96 0.42 7 2.95" 0.58" 13 3.21 0.90" 194.51" 1.56" 8 2.55 1.13 14 2.83 1.36 20 2.89 1.09 9 2.92 0.66 15 3.12 1.11 21 2.65 1.08 10 2.95 1.33 16 2.74 0.50 22 3.38 0.46 11 2.83 117 17 2.96 1.4323 12 2.97 0.40 18 2.74 1.3424 3.04 2.64 1.63 1.02 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCLinches (round your response to three decimal places). Lower Control Limit (LCL?)-inches (round your response to three decimal places). Based on the x-chart, the wire cutting process has been The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations) Upper Control Limit (UCLR)inches (round your response to three decimal places).
The control limits for 3-sigma x chart are
Upper Control Limit - 3.807 inches
Lower Control Limit - 2.291 inches
The control limits for the 3-sigma R-chart are Upper Control Limit- 2.373 inches
X-double bar = Sum of observations (x-bar) / Total number of observations
X-double bar = 73.17 / 24
X-double bar = 3.049
R-bar = Sum of observations (R) / Total number of observations
R-bar = 24.97 / 24
R-bar = 1.040
(a) The Upper Control Limit (UCLx) and Lower Control limit (LCLx) for the 3-sigma x-bar chart is calculated as,
UCLx = X-double bar + (A2 x R-bar)
LCLx = X-double bar - (A2 x R-bar)
From the table of factors for computing the control chart limits (3-sigma),
For n = 4 (4-pieces of precision cut wire)
A2 = 0.729
Putting these values in the above formulas, we get,
UCLx = 3.049 + (0.729 x 1.040)
UCLx = 3.807 inches
LCLx = 3.049 - (0.729 x 1.040)
LCLx = 2.291 inches
Based on the x-bar chart, the wire cutting process has been out of control, because the observation at 19th hour (4.51) lie outside the computed upper control limit and lower control limit.
(b) The Upper Control Limit (UCLr) and Lower Control limit (LCLr) for the 3-sigma R-chart is calculated as,
UCLr = D4 x R-bar
LCLr = D3 x R-bar
From the table of factors for computing the control chart limits (3-sigma),
For n = 4 (4-pieces of precision cut wire)
D3 = 0, D4 = 2.282
Putting these values in the above formulas, we get,
UCLr = 2.282 x 1.040
UCLr = 2.373 inches
LCLr = D3 x R-bar
LCLr = 0 x 1.040
LCLr = 0 inches
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A blood bank needs 7 people to help with a blood drive. 17 people have volunteered. Find how many different groups of 7 can be formed from the 17 volunteers.
WHY DO U HATE ME?? ALSO HELP IN PIC!!!!!!!!!!!!
Answer:
Don't know u is correct. Also I'm not a h0* how rude >:(
Answer:
None of the above because I love you
Step-by-step explanation:
I don't hate you and if some people do they must have there reasons which I don't know, but some people just hate for no reason and if they can hate for no reason some people can love for no reason.
You may be a complete stranger to me but I love you
Which division expression is equivalent to 4 and one-third divided by Negative StartFraction 5 over 6 EndFraction?
Answer:
(A) 13/3 / -5/6
Step-by-step explanation:
the answer is 13 over 3 divided by negative 5 over 6
i know this because i just took the quiz. ; )
i hope this helps <3
Answer:
its A
Step-by-step explanation:
I took the quiz
Round to the nearest ten
Pease I need this fast
Answer:
what is it round what to the nearest ten what
Step-by-step explanation:
Rewrite the following equations in the form y = mx + b.
8x + 2y = 10
12x - 3y = -25
Answer:
8x + 2y = 10 ==> y = -4x + 5
12x - 3y = -25 ==> y = 4x + 25/3
Step-by-step explanation:
8x + 2y = 10 ==> solve for y
2y = 10 - 8x ==> subtract 8x on both sides
(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y
y = 5 - 4x ==> simplify
y = -4x + 5 ==> put the equation in y=mx+b form
12x - 3y = -25 ==> solve for y
12x = -25 + 3y ==> make y positive by adding 3y on both sides
12x + 25 = 3y ==> add 25 on both sides to isolate y
(3y = 12x + 25) / 3 ==> divide the equation by 3 to make 3y into y
y = 4x + 25/3 ==> simplify
which statement is not guaranteed to be true
Answer:
Diagonal AC is NOT perpendicular to diagonal BD
Step-by-step explanation:
Use the degree 2 Taylor polynomial centered at the origin for f to estimate the integral
I = \(\int_{0}^{1}\) f(x)dx
when
f(x) = e^(-x^2/4)
a. I = 11/12
b. I = 13/12
c. I = 7/6
d. I = 5/6
The answer is (b) I = 13/12.
We can use the degree 2 Taylor polynomial of f(x) centered at 0, which is given by:
f(x) ≈ f(0) + f'(0)x + (1/2)f''(0)x^2
where f(0) = e^0 = 1, f'(x) = (-1/2)xe^(-x^2/4), and f''(x) = (1/4)(x^2-2)e^(-x^2/4).
Integrating the approximation from 0 to 1, we get:
∫₀¹ f(x) dx ≈ ∫₀¹ [f(0) + f'(0)x + (1/2)f''(0)x²] dx
= [x + (-1/2)e^(-x²/4)]₀¹ + (1/2)∫₀¹ (x²-2)e^(-x²/4) dx
Evaluating the limits of the first term, we get:
[x + (-1/2)e^(-x²/4)]₀¹ = 1 + (-1/2)e^(-1/4) - 0 - (-1/2)e^0
= 1 + (1/2)(1 - e^(-1/4))
Evaluating the integral in the second term is a bit tricky, but we can make a substitution u = x²/2 to simplify it:
∫₀¹ (x²-2)e^(-x²/4) dx = 2∫₀^(1/√2) (2u-2) e^(-u) du
= -4[e^(-u)(u+1)]₀^(1/√2)
= 4(1/√e - (1/√2 + 1))
Substituting these results into the approximation formula, we get:
∫₀¹ f(x) dx ≈ 1 + (1/2)(1 - e^(-1/4)) + 2(1/√e - 1/√2 - 1)
≈ 1.0838
Therefore, the closest answer choice is (b) I = 13/12.
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Determine whether the given value is a statistic or a parameter the number of birds in diffferent regions
In the context of statistics, a statistic refers to a numerical value that is calculated from a sample of data, while a parameter refers to a numerical value that describes a population.
In the given scenario, the number of birds in different regions can be considered as either a statistic or a parameter depending on the context in which it is used.
If the number of birds is obtained by counting the birds in a specific region and then calculating summary measures such as the mean, median, or standard deviation based on that sample, then it would be considered a statistic. This is because the data is collected from a subset (sample) of the entire population of birds.
On the other hand, if the number of birds represents the total count or an average count across all regions without any sampling involved, then it would be considered a parameter. In this case, the value represents a characteristic of the entire population of birds in different regions.
It is important to note that whether the number of birds is considered a statistic or a parameter depends on how the data is collected and analyzed.
If multiple samples are taken from different regions and statistical inference techniques are used to make inferences about the entire population, then it would be appropriate to consider it as a statistic. However, if the data represents a complete count or an average across all regions without any sampling involved, then it would be considered a parameter.
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Roxie is picking out some movies to rent, and she is primarily interested in horror films and documentaries. She has narrowed down her selections to 6 horror films and 15 documentaries.
Step 1 of 2 : How many different combinations of 3 movies can she rent?
1085 different combination of 3 movie she can rent.
What is linear equations?
Linear equations is a type of equation that is in between two variables that gives a straight line.
The calculation of number of different combinations of 3 films she can rent if she needs at least two documentaries is shown below:-
=N×(2× documentry and 1 horror movies)+N×(3 documentry)
=(6C1)×(15C2)+(6Co)×(15C3)
= 630 + 455
= 1,085
Therefore for calculating the number of different combinations of 3 films she can rent if she needs at least two documentaries we simply applied the above formula and here we consider one number in the question as it shows the double number.
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equação de 1°grau resultado-2x+3=-1+x+2
Answer:
2/3
Step-by-step explanation:
-2x+3=-1+x+2
-2x-x+3=-1+2
-3x+3=1
-3x=1-3
-3x=-2
3x=2
x=2/3
*NEED ANSWER ASAP*
Find the slope of (-4/6) and m=3/4.
The equation of line in slope intercept form is, \(y=\frac{3}{4}x+9\).
What is slope point form of the line?
A line's point slope form equation is y - y1 = m. (x – x1). Consequently,
y - 0 = m(x = 0), or y = mx, is the equation of a line passing through the origin with a slope of m.
Let the line passes through the point (-4, 6) and having slope 3/4.
We know that the equation of line passes through the point \((x_1, y_1)\) and having slope m is,
\(y-y_1=m(x-x_1)\)
Here, \((x_1, y_1) = (-4, 6)\) and slope \(m = \frac{3}{4}\)
Plug the values in the above equation.
⇒
\(y-6=\frac{3}{4}(x-(-4))\\ y - 6 = \frac{3}{4}(x + 4)\\ y-6=\frac{3}{4} x + 3\\y = \frac{3}{4}x+3+6\\ y=\frac{3}{4}x+9\)
Hence, the equation of line in slope intercept form is, \(y=\frac{3}{4}x+9\).
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a- 9 =16 what does a equal
Answer: a=25
Step-by-step explanation:
To find a, you want to isolate a.
a-9=16 [add both sides by 9]
a=25
Now, we know that a=25.
What are the coefficients for the binomial expansion of (a + b)3? 1, 4, 6, 4, 1 1, 1 1, 2, 1 1, 3, 3, 1.
For the given binomial expression the coefficients of (a+b)³ are 1, 3, 3, 1
What is meant by coefficient?The constant coefficient is the coefficient that is not connected to any variables in an expression. For example, the constant coefficients in the formulas above are 3 and c, respectively. The leading coefficient is the coefficient associated to the variable with the highest degree in a polynomial. For example, in the formulas above, the leading coefficients are 2 and a, respectively.
We have,
The binomial expansion (a + b)³,
We know that,
The formula for binomial expansion,
(u + v)ⁿ = ⁿC₀uⁿv⁰ + ⁿC₁uⁿ⁻¹v¹ + ⁿC₂uⁿ⁻²v² + ⁿC₃uⁿ⁻³v³
Now,
u = a,
v = b,
And, n =3
Now,
By putting values,
(a + b)³ = ³C₀a³b⁰ + ³C₁a³⁻¹b¹ + ³C₂a³⁻²b² + ³C₃a³⁻³b³
(a + b)³ = ³C₀a³b⁰ + ³C₁a²b¹ + ³C₂a¹b² + ³C₃a⁰b³
Now,
By using combination formula,
On solving we get,
(a + b)³ = a³+3a²b+3ab²+b³
So,
Now,
The coefficients of :
a³ = 1,
3a²b = 3,
3ab² = 3,
b³ = 1,
So,
For the given binomial expression the coefficients of (a+b)³ are 1, 3, 3, 1
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Answer: the answer is d
Step-by-step explanation:
I took the tes