Answer:
7/15
Step-by-step explanation:
Answer:0.466666667
Step-by-step explanation:
which is the silt ion to inequality-4x+6<2x
Answer:
A
Step-by-step explanation:
x≥1
ZA and ZB are vertical angles with m/A=x and m/B= 4x - 30. What is m/A?
∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.
What are vertical angles?When two lines intersect at a location, vertical angles are generated. They are always on equal footing. In other words, four angles are generated anytime two lines cross or intersect. We can see that two opposed angles are equal, and these are referred to as vertical angles.
According to the given data:∠B= 4x - 30.
∠A = x
∠A and ∠B are vertical angles
so,
∠A =∠B
x = 4x - 30
4x - x = 30
3x = 30
x = 10
m ∠A= x = 10
m ∠A = 10
∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.
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Suppose the population of all public universities shows the annual parking fee per student is $110, with a standard deviation of $18. If a random sample size of 49 is drawn from the population, the probability of drawing a sample with a sample mean between $100 and $115 is _______
The probability of drawing a mean with a sample mean between $100 and $115 is 0.99705.
Fee per student = $110
Standard deviation = $18
Random sample size =- 49
Sample mean difference = $100 and $115.
This problem is calculated by using the central limit theorem, which defines that the distribution of sample average from a large sample size will be normal, however, the distribution of the population will be drawn.
For a sample size of 49, the standard error of the mean will be:
SE = σ / sqrt(n)
SE = 18 / sqrt(49)
SE = 18 / 7
SE = 2.57
The standardized sample mean range of $100 to $115 using the formula for the z-score:
z = (x - μ) / SE
For a lower limit of $100:
z1 = ($100 - $110) / 2.57 = -3.89
For an upper limit of $115:
z2 = ($115 - $110) / 2.57 = 1.95
Probability = P(-3.89 < z < 1.95)
Probability = 0.9971 - 0.00005
Probability = 0.99705
Therefore, we can conclude that the probability of drawing a mean with a sample mean between $100 and $115 is 0.99705.
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A ball is thrown up into the air from a building modeled by the equation:
h(t) = -16t2 + 115t + 19
What is the height of the ball after 2 seconds?
Answer:
After two seconds
h(2) = -16(2^2) + 115(2) + 19
h(2) = -64 + 115(2) +19
h(2) = 185
Let me know if this helps!
The height of a rider on a Ferris wheel, in metres, can be modelled using the function , where is the angle of rotation. (in calculator use x instead of )
Use a graphing calculator to graph the function.
What is the radius of the Ferris Wheel?
At what height was the rider when the ride began?
How would the function and the graph change if the Ferris wheel turned in the opposite direction?
Answer:
6
Step-by-step explanation:
Check my answer asap plz!
Answer:
4th option
Step-by-step explanation:
The graph has a closed circle at x = 1 meaning x can equal - 1
Thus it must be an inequality involving ≤ or ≥
Since the arrow points to the left then it must be ≤
Then
3x + 1 ≤ 4 ( subtract 1 from both sides )
3x ≤ 3 ( divide both sides by 3 )
x ≤ 1
pls pls help whoever gets it right gets a crown
Answer:
0 = 8
The input is a contradiction: it has no solutions.
Step-by-step explanation:
Hope it helps! =D
Answer:
it would be D!
Step-by-step explanation:
Pls help me this is my homework
Answer:
C) 840
C) 87
D) 3000-150n
Step-by-step explanation:
Answer:
c
c
d
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point
For example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
The probability of randomly hitting a bullseye on a dartboard with radius 12 inches depends on the size of the bullseye Thus the probability is a function of the size If this function is called PS?
If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.
The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.
It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.
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What is the slope of the line that passes through the points (5, 4) and (13.25, -18) ?
A.) 83/3
B) 3/8
C) −3/8
D) 8/3
Answer:
Answer: D. 8/3
Step-by-step explanation:
Formular for slope:
[ consider points (x1, y1) and (x2, y2) ]
\(slope = \frac{y_{2} - y _{1} }{x _{2} - x _{1} } \\ \)
x1 » 5, y1 » 4
x2 » 13.25, y2 » -18
\(sloe = \frac{ - 18 - 4}{13.25 - 5} \\ \\ = \frac{22}{8.25} \\ \\ { \boxed{ \boxed{slope \: = \frac{8}{3} }}}\)
If I give my sister 5 dollars, then we will have the same amount of money. If instead she
gives me 8 dollars, then I'll have twice as much money as she has. How much money does she
have?
Answer:
$44 and $34Step-by-step explanation:
The amounts are x (me) and y (sister).
If I give my sister 5 dollars, then we will have the same amount of money:
x - 5 = y + 5 ⇒ x = y + 10If she gives me 8 dollars, then I'll have twice as much money as she has:
x + 8 = 2(y - 8) ⇒ x + 8 = 2y - 16 ⇒ x = 2y - 24Compare the equations and solve for y:
y + 10 = 2y - 242y - y = 10 + 24y = 34Find x:
x = 34 + 10 x = 44Please help solve the following its on "return on investment (ROI)" it dues today please!! thank you
$1.09 is Total return in investment .
What is investment?
Investments are assets that are bought or invested in to increase wealth and set aside cash from hard-earned income or gain. The main purpose of an investment is to provide an additional source of income or to generate a profit over a certain amount of time.
Any strategy for producing future revenue might be referred to as an investment. This involves, among other things, purchasing securities such as bonds, stocks, or real estate.
Total return in dollars = Profit / Initial investment
Highest = $67
Lowest = $32
no of shares price per share value
a b c = a * b
lowest price 1000 32 32000
highest price 1000 67 67000
profit = sale value - purchase value 35000
Total return in investment $1.09
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Determine if the following lines are parallel,perpendicular,or neither
The 2 given lines with the given coordinates when analyzed are seen to be; Parallel
How to find the slope of a line?The formula to find the slope of a line passing through two coordinates is;
m = (y2 - y1)/(x2 - x1)
Slope of Line 1 which has coordinates of (-1, 9) and (-6, -6) is;
m1 = (-6 - 9)/(-6 - (-1))
m1 = -15/-5
m1 = 3
Slope of Line 2 which has coordinates of (-7, -23) and (0, -2) is;
m2 = (-2 - (-23))/(0 - (-7))
m2 = 21/7
m2 = 3
Now the slopes of both lines are the same and as such we can say that they are parallel. It should be noted that if the were perpendicular, then their slopes will be negative reciprocals of each other.
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Jahnay is following this recipe to make cakes.
Jahnay uses 960 g of flour.
How many cakes is Jahnay making?
Recipe: Makes 1 Cake
80 g sugar
120 g butter
240 g flour
3 eggs
when you take the scholastic assessment test (sat), your score is recorded as a percentile score. if you scored in the 92nd percentile, it means that you scored better than approximately 92% of those who took the test. (a) if lisa's score was 84 and that score was the 26th score from the top in a class of 250 scores, what is lisa's percentile rank? (round your answer to the nearest whole number.)
Lisa's percentile rank will be 89%.
What is percentile?
The k-th percentile is the score at or below which a given percentage falls, or the score below which a particular percentage of the scores in the frequency distribution falls.
The percentile rank is utilized to compare a score to the rest of the scores in a set of scores. It tells us the percentage of scores equal or below a particular scores.
\(P = \frac{R}{N+1} (100)\)
where, R is the rank and N is the score.
Here,
Lisa's rank = 250 - 26 = 224, N = 250
So, her percentile rank will be,
\(P = \frac{224}{250+1}(100) = 89.24\\ P = 89%\)
P = 89%
Therefore, the Lisa's percentile rank will be 89%.
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PLS HELP ASAP !!
A boy has climbed 210m up a 350m vertical cliff, and is trapped there.
A rescue helicopter is hovering 65m above the top of the cliff.
Calculate how far a rescue must be lowered to reach the boy.
You may draw a sketch to help you.
(i'll mark as brainliest if u answer:))
Answer:
205
Step-by-step explanation:
helicopter=65m
tap of the cliff=
the boy=350m
210=
that makes the answer 205
Answer:
205 meters
Step-by-step explanation:
The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.
This means that the helicopter is 415 meters above the bottom of the cliff.
The boy is 210m above the bottom of the cliff.
So, you have to subtract 210 from 415 to get 205.
Therefore, you have to lower the rescue 205m to reach the boy.
why solids are important?
Answer:
Solids can hold their shape because their molecules are tightly packed together. ... Atoms and molecules in liquids and gases are bouncing and floating around, free to move where they want. The molecules in a solid are stuck in a specific structure or arrangement of atoms.
I hope you find this helpful.
differentiate f and find the domain of f. (enter the domain in interval notation.) f(x) = 3 ln(x)
The derivative of the function f(x) = 3 ln(x) is f'(x) = 3/x. The domain of f(x) consists of positive real numbers, excluding zero, as the natural logarithm is only defined for positive values. Thus, the domain of f(x) is (0, +∞) in interval notation.
To differentiate f(x) = 3 ln(x), we can use the derivative rules. The derivative of ln(x) is 1/x, and when multiplied by the constant 3, we get f'(x) = 3/x. This derivative represents the instantaneous rate of change of f(x) with respect to x at any given point.
The domain of f(x) is the set of values for x that produce meaningful output for the function.
In this case, the natural logarithm function ln(x) is only defined for positive values of x.
Therefore, the domain of f(x) consists of positive real numbers. However, it is important to note that the value x = 0 is not included in the domain, as the natural logarithm is undefined at x = 0.
Therefore, the domain of f(x) can be expressed as (0, +∞) in interval notation, indicating that it includes all positive real numbers except zero.
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What is 3 1/5 * 2 1/4
To multiply two mixed numbers, one way to do it is to convert them into pure fractions and then multiply them:
\(3\text{ 1/5}\cdot2\text{ 1/4}=(3+\frac{1}{5})\cdot(2+\frac{1}{4})=(\frac{15+1}{5})\cdot(\frac{8+1}{4})=\frac{16}{5}\cdot\frac{9}{4}=\frac{144}{20}=\frac{36}{5}\)The product is 36/5, that can be expressed as mixed number as:
\(\frac{36}{5}=\frac{35+1}{5}=7+\frac{1}{5}\)Answer: The product (3 1/5 * 2 1/4) is 36/5 or 7 1/5.
Your current wage is $1,500 plus 3% commission per month. During your 6-month employee review, your boss suggests to change your base rate to $1,200 but is offering you a larger commission percentage. What commission rate would he need to offer to make up for the reduced base rate? Your past 6 month sales numbers are: $10,000, $12,450, $8,756, $10,354, $10,938, and $11,452.
The new commission percentage is 3.75%
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Current wage is $1,500,
Commission on this wage is 3%.
Now if we change the base rate to $1,200 ,
the commission will increase to make up the reduced base rate.
Let the new commission is x,
Now, to find the commission x, use identity,
1,500×3=1,200×x
x=15/4
x=3.75%
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pls help me with this
-9x+5=-9x-1+6 is the equation which has no solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -7x+2x+5-4x=_x+6
Add the variable on left hand side
Minus seven times of x plus two times of x plus five minus four times of x equal to x plus six.
-9x+5=-9x-1+6
Hence, -9x+5=-9x-1+6 is the equation which has no solution.
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Hiiooo! Can someone please help with this!❤️:)
Mr. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least number of markers he puts in the box?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
SOLVE QUESTION 3 PART A AND B !! WILL GIVE BRAINLIST ..
Answer:
28π, reasonable
Step-by-step explanation:
A. Circumference is 2πr (or dπ), so we plug in 14 for r
this leaves us with 2π14, in which the 2 and 14 can multiply, so we get 28π
B. if we plug 28π into the calculator, you'll get 87.96, so 85cm is reasonable
Rewrite the expression in the form z^n
Answer:
\(z^{ \frac{1}{3}\)
Step-by-step explanation:
\(\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}\) \([ \ \frac{a}{a^x} = a \cdot a^{-x} \ ]\)
\(= \sqrt {z^{\frac{2}{3}}}\\\\\) \([ \ a^x \cdot a^y = a^{ x+ y} \ ]\)
\(= (z^{\frac{2}{3}})^{ \frac{1}{2}}\) \([ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ]\)
\(= z^ {\frac{1}{3}}\) \([ \ (a^x)^y = a^{xy} \ ]\)
I NEED HELP WITH #17
HELP PLEASEE
By complex and real number properties, the resulting electric resistance is equal to R' = 47 / 270 + i 4 / 45 ohms.
How to determine the total resistence of circuit by operation with complex numbers
Complex numbers are numbers of the form z = a + i b, where a, b are real numbers. The first component is the real component and the second one is the complex one. In this problem we find the case of a combination of two electric resistances described by two complex numbers. This expression must be simplified by means of real number and complex number properties:
R' = 1 / R₁ + 1 / R₂
If we know that R₁ = 4 + i 6 and R₂ = 2 - i 4, then the resulting electric resistance is:
1 / (4 + i 6) + 1 / (2 - i 4)
(4 - i 6) / [(4 + i 6) · (4 - i 6)] + (2 + i 4) / [(2 - i 4) · (2 + i 4)]
(4 - i 6) / (16 - i² 36) + (2 + i 4) / (4 - i² 16)
(4 - i 6) / (16 + 36) + (2 + i 4) / (4 + 16)
(4 - i 6) / 52 + (2 + i 4) / 20
(2 - i 3) / 27 + (1 + i 2) / 10
47 / 270 + i 4 / 45
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the given line in standard form.
The line that contains the point Q( 1, -2) and is parallel to the line whose equation is
y - 4 = 2/3 (x - 3)
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
In a long-jump competition, Connor jumped 160 centimetres.
Phil jumped 1.3 metres.
Calculate how far they have jumped altogether.
Give your answer in centimetres.
Answer:
290 cm
Step-by-step explanation:
There are 100 centimeters in a meter so 1.3m*100 is 130cm
130+160cm is 290cm.
Find the missing side length. Round to the nearest tenth
Answer:
5.4
Step-by-step explanation:
5^2+2^2=29
square root of 29=5.4