Exponentiation is not clear
If so Exponentiation
a²b²+2ab(a²+1)+a²-b²-1
this answer
a²b²+2a³b-b²+2ab+a²-1
As for if so Exponentiation
[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]
this answer
a²b²+2a³b+2ab+a²-b
Select all statements below that are true about the box plots shown.
1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.
2) The median speed for the cars going North is higher than the median speed for the cars going South.
3) The interquartile range for the cars going South is 9.
4) The interquartile range for the cars going North is 27.
5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.
6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.
In other words, choices 2 and 4 are false while everything else is true.
==========================================================
Explanation:
The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:
MinQ1MedianQ3MaxThe min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.
The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.
Choice 1) is one of the answers since it is a true statement.
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The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.
Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.
-------------------
Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,
IQR = Q3 - Q1 = 68-59 = 9
It's very likely that choice 3 is true
-------------------
For the northbound cars, we have
Q1 = 56
Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)
So,
IQR = Q3 - Q1 = 71 - 56 = 15
We don't get a result of 27, so choice 4 is not a true statement.
-------------------
Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.
-------------------
The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because
Q1 = 56 for northbound cars
Q1 = 59 (or somewhere between 58 and 60) for southbound cars
Therefore, choice 6 is true.
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *
49 in.
23 in.
25 in.
47 in.
Answer:
25 in.
Step-by-step explanation:
DEC is a right triangle. <DEC is a right angle.
(DE)² + (EC)² = (DC)²
DE = ½DB = ½(48 in.) = 24 in.
(24 in.)² + (7 in.)² = (DC)²
576 in.² + 49 in.² = (DC)²
(DC)² = 625 in.²
DC = 25 in.
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximate the population, p. as a function of time in days.t, since the population was 1,500.
The required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
To represent the population, P, as a function of time in days, t, we need to find an exponential growth equation.
Since the population grows exponentially by a factor of 3 every week, we need to convert the weekly growth to daily growth.
Let's break down the problem step by step:
The population grows by a factor of 3 every week.There are 7 days in a week, so the daily growth factor can be calculated by taking the 7th root of 3. (Growth factor per day = [tex]3^{(1/7)[/tex])The initial population is 1,500.Now, we can represent the population, P, as a function of time, t, using the exponential growth equation:
[tex]\mathrm P(t) = \mathrm{Initial \ Population} \times \mathrm {Growth \ Factor}^t[/tex]
where:
Initial Population (Po) = 1,500 (given)
Growth Factor per day = [tex]3^{(1/7)[/tex]
So, the equation representing the population as a function of time in days is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
Hence the required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
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You roll a die. Find the probability that you roll an even number or a number less than 5.
Answer:
4/6
Step-by-step explanation:
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
A student drops a penny of a house that is 16 feet tall if the equation of height as a function is h(t)= -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the penny to hit the ground
Answer:
Step-by-step explanation:
the correct answer is 1 second
The time it will take for the penny to hit the ground is 1 second.
What is a linear equation?A linear equation has one or two variables.No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
Calculation:-
Given initial feight= 16 feet
h(t)= -16t2 + initial height
for 1 second
⇒ h(1)= -16(1)2 +16
⇒ h = -32 +16
⇒ h = -16 ( 16 feet downward i.e penny will tough the ground)
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Find the code word by completing the maze below. To complete the maze you must determine what type of triangle is formed by the given set of dimensions. There are letters in each box that will form the code word you need to unlock puzzle one. The letters will go in order to form the word. MI 4,7,9 Obtusa 5,5,5 obtusa 9.12,15 Acute 12, 16,20 BEGIN Right Acute Right Obtuse N S Acute Right 7, 12, 18 P Acute 15,20,25 1,3,5 6,8,10 Acute Jobtuse Obtuse Right Right 21,28,35 Right P 30, 40, 50 Acute 6, 12,18 12,18,31 Obtuse Obtuse Obtuse Obtuse 3,4,5 Right 2,2,2 Acute 12, 16,20 Right FINISH Code:
Answer:
Inspiring
I hope this helps
Can someone higher please help ?
.....................................................................................
Answer: -0.833 (repeating decimal)
Step-by-step explanation: fg(x) means plug the g(x) equation into f(x), and for gf(x) it’s vice versa:
Fg(x) = 3x^2 - 1 + 2
Gf(x) = 3(x + 2)^2 - 1
First, we should simplify gf(x) to eliminate the (x + 2)^2:
3(x^2 + 4x + 4) - 1
3x^2 + 12x + 12 - 1
3x^2 + 12x + 11
Second, simplify fg(x) by solving -1 + 2: 1
Now, we can set the two equations equal to each other and solve:
3x^2 + 1 = 3x^2 + 12x + 11 (subtract 3x^2 from each other and 1 from 11)
-10 = 12x (Divide)
-0.8333... = x
To make sure this answer is correct, plug -0.833 into the original equations and set them equal to each other:
3(-0.833)^2 + 1 = 3(-0.833)^2 + 12(-0.833] + 11
3.083 = 3.083
Plz help me well mark brainliest if you are correct!!....
If Mr. Bisby wants to know the average of the grades on a test, what measure of central tendency would he be looking at?
(Spelling counts so make sure to spell it correctly)
Answer: The answer is mean.
Step-by-step explanation:
This measure of central tendency helps you figure out the average of data.
What is the best estimate of the sum of fractions?
Answer:
13
Step-by-step explanation:
Edgeunity 2021
I'm pretty sure, I just estmated the answer to 13 which was the closest.
Let u=ln(x) and v=ln(y). Write the expression below in terms of u and v
=======================================================
Work Shown:
We'll apply these log rules
[tex]\text{Log Rule 1: } \ \ \ \ln\left(\frac{x}{y}\right) = \ln(x) - \ln(y)\\\\[/tex]
[tex]\text{Log Rule 2: } \ \ \ \ln\left(x^y\right) = y\ln(x)\\\\[/tex]
These log rules can be used for logs of any base, and not just natural logs.
[tex]z = \ln\left(\frac{\sqrt{x}}{y}\right)\\\\z = \ln\left(\sqrt{x}\right)-\ln\left(y\right) \text{ ... Use log rule 1}\\\\z = \ln\left(x^{1/2}\right)-\ln\left(y\right)\\\\z = \frac{1}{2}\ln\left(x\right)-\ln\left(y\right) \text{ ... Use log rule 2}\\\\z = \frac{1}{2}u-v\\\\[/tex]
Therefore,
[tex]\ln\left(\frac{\sqrt{x}}{y}\right) = \frac{1}{2}u-v\\\\[/tex]
when [tex]u = \ln(x) \ \text{ and } \ v = \ln(y)\\\\[/tex]
Write an equation of the circle with center (3,-2) and radius 11.
let h= 3, k=-2
radius (r) = 11 ,then
(x-h)^2 + ( y-k)^2 = r^2
(x-3)^2 + ( y+2)^2 = 11^2
x^2 -6x +9 + y^2 +4y +4 = 121
x^2 + y^2 - 6x +4y -108 = 0 is the required eq
Which expression represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours?
A,B,C,D
The expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is total cost = 9b + 10s
How to find the expression for total cost?The cost of rent for bike and scooters are different.
cost for bike = $9 per hour
cost for scooter = $10 per hour
Therefore, he expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is as follows:
total cost = 9b + 10s
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Answer: 9b + 10s
Step-by-step explanation:
I - Ready Sucks :)
Choose all the factor pairs of 12.
A. 1,12
B. 2,6
C. 3,4
D. 5,7
E. 6,6
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
Solve, using the substitution method. X + y = -11
2x - 3y = 3
A. (-6, -5)
B. (-10, -1)
C. (15, -4)
D. (6, 1)
Answer:
A. (-6,-5)
Step-by-step explanation:
A: Correct because -6+-5=-11------True
and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +
so our new equation is -12+15=3-----True
-Your welcome and I hope this helps you, please rate 5 stars =D
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
Twenty times the square of a non-zero number is equal to 20 times the number.
Answer:
the number could be 0 or 1
Step-by-step explanation:
20x² - 20x = 0
20x(x - 1) = 0
20x = 0
x = 0
x-1 = 0
x = 1
Determine the greatest common factor of 28xy9z and 32x2y2z
Answer:
4xy^2z
assuming those numbers after the first ones are exponents
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
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PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1
zero
one
two
O infinitely many
Answer: X = 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation!
Step 2: Subtract 4x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 2/(-7).
5-64 =
A. -8
B. -4
C. 4 or -4
O D. -16
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
find the value of x in each case. will be posting more questions soon.
Two sets of three consecutive integers have a property that the product of the larger two is
one less than 7 times the smallest. Set up and solve an equation that can be sue to find both
sets of integers. What are those sets of integers?
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Here is the final problem jaded
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = [tex]\frac{x}{20}[/tex]
Tan(33) * 20 = x
12.99 = x
Hope this helps!
Select all the equations that are equivalent
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.