Answer:
Step-by-step explanation:
(3 +3 - 3 -3) / 3 = 0
3 - 3/3 - 3/3 = 1
3 + 3 - 3 - 3/3 = 2
(3*3*3/(3*3) = 3
(3 + 3+ 3+ 3) / 3 = 4
(3 * 3) - (3 + 3/3) = 5
((3*3*3)/ 3)) - 3 = 6
(3 * 3) - 3 + 3/3 = 7
(3*3*3 - 3) / 3 = 8
(3 + 3+3 + 3) - 3 = 9
3 + 3 + 3 + 3/3 = 10.
In a small private school, 55 students are randomly selected from 1313 available students. What is the probability that they are the fivefive youngest students?
Complete Question
In a small private school, 5 students are randomly selected from 13 available students. What is the probability that they are the five youngest students?
Answer:
The probability is [tex]P(x) = 0.00078[/tex]
Step-by-step explanation:
From the question we are told that
The number of student randomly selected is r = 5
The number of available students is n = 13
Generally the number of ways that 5 students can be selected from 13 available students is mathematically represented as
[tex]n(k)=\left n} \atop {}} \right.C_r = \frac{n ! }{(n-r ) ! r!}[/tex]
substituting values
[tex]\left n} \atop {}} \right.C_r = \frac{13 ! }{(13-5 ) ! 5!}[/tex]
[tex]\left n} \atop {}} \right.C_r = \frac{13 * 12 * 11 * 10 * 9 *8! }{8 ! * 5 * 4 * 3 * 2 *1}[/tex]
[tex]\left n} \atop {}} \right.C_r = 1287[/tex]
The number of method by which 5 youngest students are selected is n(x) = 1
So
Then the probability of selecting the five youngest students is mathematically represented as
[tex]P(x) = \frac{n(x)}{n(k)}[/tex]
substituting values
[tex]P(x) = \frac{1}{1287}[/tex]
[tex]P(x) = 0.00078[/tex]
Faizan buys a car for £2000.Its value depreciates by 2% each year. How much is it worth after 1 year?
Answer:
£1960
Step-by-step explanation:
Step 1.
2% = 100% ÷ 50
Step 2.
£2000 ÷ 50 = £40
Step 3.
£2000 - £40 = £1960
Solving exponential functions
Answer:
approximately 30Step-by-step explanation:
[tex]f(x) = 4 {e}^{x} [/tex]
[tex]f(2) = 4 {e}^{2} [/tex]
[tex]f(2) = 4 \times 7.389[/tex]
[tex]f(2) = 29.6[/tex]
( Approximately 30)
Hope this helps..
Good luck on your assignment..
Answer:
approximately 30
Step-by-step explanation:
[tex]f(x)=4e^x[/tex]
Put x as 2 and evaluate.
[tex]f(2)=4e^2[/tex]
[tex]f(2)=4(2.718282)^2[/tex]
[tex]f(2)= 29.556224 \approx 30[/tex]
What is the correlation coefficient for the data in the table?
–0.57
–0.28
0.28
0.57
Answer: i believe it’s 0.28, but tbh i’m on a unit test so i can’t see what’s wrong and what’s right. good luck!
Step-by-step explanation:
Answer:
c- 0.28
Step-by-step explanation:
A ball is thrown straight down from the top of a 435-foot building with an initial velocity of -27 feet per second. Use the position function below for free-falling objects. s(t) = -16t^2 + v_0t + s_0 What is its velocity after 2 seconds? v(2) = -91 ft/s What is its velocity after falling 364 feet? v = 1.61 ft/s Find an equation of the parabola y = ax^2 + bx + c that passes through (0, 1) and is tangent to the line y = 5x - 5 at (1, 0). Y = 5x + 10
Answer:
a) The velocity of the ball after 2 seconds is -91 feet per second, b) The velocity of the ball after falling 364 feet is 155 feet per second, c) The equation of the parabola that passes through (0,1) and is tangent to the line y = 5x - 5 is [tex]y = 6\cdot x^{2}-7\cdot x +1[/tex].
Step-by-step explanation:
a) The velocity function is obtained after deriving the position function in time:
[tex]v (t) = -32\cdot t -27[/tex]
The velocity of the ball after 2 seconds is:
[tex]v(2\,s) = -32\cdot (2\,s) -27[/tex]
[tex]v(2\,s) = -91\,\frac{ft}{s}[/tex]
The velocity of the ball after 2 seconds is -91 feet per second.
b) The time of the ball after falling 364 feet is found after solving the position function as follows:
[tex]435\,ft - 364\,ft = -16\cdot t^{2}-27\cdot t + 435\,ft[/tex]
[tex]-16\cdot t^{2} - 27\cdot t + 364 = 0[/tex]
The solution of this second-grade polynomial is represented by two roots:
[tex]t_{1} = 4\,s[/tex] and [tex]t_{2} = -5.688\,s[/tex].
Only the first root is physically reasonable since time is a positive variable. Now, the velocity of the ball after falling 364 feet is:
[tex]v(4\,s) = -32\cdot (4\,s) - 27[/tex]
[tex]v(4\,s) = -155\,\frac{ft}{s}[/tex]
The velocity of the ball after falling 364 feet is 155 feet per second.
c) Let consider the equation for a second order polynomial that passes through (0, 1) and its first derivative that passes through (1, 0) and represents the give equation of the tangent line. That is to say:
Second-order polynomial evaluated at (0, 1)
[tex]c = 1[/tex]
Slope of the tangent line evaluated at (1, 0)
[tex]5 = 2\cdot a \cdot (1) + b[/tex]
[tex]2\cdot a + b = 5[/tex]
[tex]b = 5 - 2\cdot a[/tex]
Now, let evaluate the second order polynomial at (1, 0):
[tex]0 = a\cdot (1)^{2}+b\cdot (1) + c[/tex]
[tex]a + b + c = 0[/tex]
If [tex]c = 1[/tex] and [tex]b = 5 - 2\cdot a[/tex], then:
[tex]a + (5-2\cdot a) +1 = 0[/tex]
[tex]-a +6 = 0[/tex]
[tex]a = 6[/tex]
And the value of b is: ([tex]a = 6[/tex])
[tex]b = 5 - 2\cdot (6)[/tex]
[tex]b = -7[/tex]
The equation of the parabola that passes through (0,1) and is tangent to the line y = 5x - 5 is [tex]y = 6\cdot x^{2}-7\cdot x +1[/tex].
The value of x that will make L and M
Greetings from Brasil...
Here we have internal collateral angles. Its sum results in 180, so:
(6X + 8) + (4X + 2) = 180
6X + 4X + 8 + 2 = 180
10X + 10 = 180
10X = 180 - 10
10X = 170
X = 170/10
X = 17Solve for w in terms of t
3w-8=t
Please explain steps
Answer:
[tex]w=\frac{t+8}{3}[/tex]
Step-by-step explanation:
[tex]3w - 8 = t[/tex]
Add 8 on both sides.
[tex]3w - 8 + 8 = t + 8[/tex]
[tex]3w = t + 8[/tex]
Divide both sides by 3.
[tex]\frac{3w}{3} =\frac{t+8}{3}[/tex]
[tex]w=\frac{t+8}{3}[/tex]
The value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an equation:
3w - 8 = t
To solve for w in terms of t
Make the subject as w
In the equation:
3w - 8 = t
Add 8 on both sides:
3w - 8 + 8 = t + 8
3w = t + 8
Divide by 3 on both sides:
3w/3 = (t + 8)/3
w = (t + 8)/3
The equation represents a function of w in terms of t
As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Thus, the value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Pretty much Self explanatory :) I don't understand this...
Answer:
Step-by-step explanation:
you have to keep going cause if you count the fives there's a 25 but right next to the 25 there's 24 all you have to do is watch what your doing just watch your steps
Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
The graph which shows the solution to the system of inequalities is attached in the picture below :
Given the inequalities :
y ≥ 2x + 1
y ≤ 2x - 2
From y ≥ 2x + 1 ;
Since the inequality sign is ≥, a solid line is used to draw the straight line graph of y ≥ 2x + 1
From :
y = mx + c
Where, m = slope ; c = intercept
Hence, a straight line graph with ;
Intercept, c = 1 (where the line crosses the y-intercept)
Slope, m = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality :
0 ≥ 2(0) + 1
0 ≥ 0 + 1
0 ≥ 1
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
From : y ≤ 2x - 2
Since the inequality sign is ≤, a solid line is used to draw the straight line graph of y ≤ 2x - 2
Graph the line y ≤ 2x - 2, with ;
Intercept, c = - 2
Slope = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality y ≤ 2x - 2:
0 ≤ 2(0) - 2
0 ≤ 0 - 2
0 ≤ - 2
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
Learn more : https://brainly.com/question/19670553
Answer:
Its graph B on edge 2022
Step-by-step explanation:
Someone please help! Thxx
Answer:
E, needs more info to be determined
Step-by-step explanation:
We know that Kai takes 30 minutes round-trip to get to his school.
One way is uphill and the other is downhill.
He travels twice as fast downhill than uphill.
This means that uphill accounts for 20 minutes of the round-trip and downhill accounts for 10 minutes of his trip.
However, even with this information, we do not know how far his school is.
In order to figure out how far away his school is, we would need more information about the speed at which Kai is traveling.
Simply knowing that he travels twice as fast downhill is not enough.
This question could only be solved by knowing how many miles Kai travels uphill or downhill in a given time.
Help please!! Thank you
Answer:
D. 6
Step-by-step explanation:
here, as given set Q consists { 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36}
and set Z contains {3, 6, 9, 12, 15, 18, 21,24, 27, 30, 33, 36, .... }
so be comparing both, we can see that the numbers 6, 12, 18, 24, 30 and 36 is repeated.
Need answer now in 10 min!!!
Answer:
40 deg
Step-by-step explanation:
The vertical sides of the rectangle are parallel, so the triangle is a right triangle.
The triangle is a right triangle, so the acute angles are complementary.
The bottom right angle of the triangle measures 90 - 50 = 40 deg.
The bottom line and the top side of the rectangle are parallel, so corresponding angles are congruent. x and the 40-deg angle are corresponding angles, so they are congruent.
x = 40 deg.
How many ten-digit numbers have at least two equal digits?
Please explain!
Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.
--------------------
Hope this helps!
Brainliest would be great!
--------------------
With all care,
07x12!
A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses. How many courses worth 3 credits did the student complete?
Answer:
They completed 13, 3 credit classes
Step-by-step explanation:
1. Make 2 formulas. In this case: x+y=18
and 3x+4y=59
2. Then multiply x+y=18 by 3 and subtract the two equations.
Find y which is 5 and input into the equations. Then find your answer.
Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid passwords are there with the given restriction(s)? Length is 13. No character repeats.
Answer:
2310789600
Step-by-step explanation:
10 digits + 26 letters = 36
₃₆C₁₃ = 2310789600
Hope this helps, although i am not 100 percent sure its right.
A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the -5 centimeter sides . The remaining cardboard will be folded to form the box and its lid . Letting x represent the side-lengths (in centimeters) of the squares, to find the value of that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.
Answer:
x = 0.53 cm
Maximum volume = 1.75 cm³
Step-by-step explanation:
Refer to the attached diagram:
The volume of the box is given by
[tex]V = Length \times Width \times Height \\\\[/tex]
Let x denote the length of the sides of the square as shown in the diagram.
The width of the shaded region is given by
[tex]Width = 3 - 2x \\\\[/tex]
The length of the shaded region is given by
[tex]Length = \frac{1}{2} (5 - 3x) \\\\[/tex]
So, the volume of the box becomes,
[tex]V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\[/tex]
In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.
[tex]\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\[/tex]
We are left with a quadratic equation.
We may solve the quadratic equation using quadratic formula.
The quadratic formula is given by
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = 18 \\\\b = -38 \\\\c = 15 \\\\[/tex]
[tex]x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\[/tex]
Volume of the box at x= 1.59:
[tex]V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\[/tex]
Volume of the box at x= 0.53:
[tex]V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3[/tex]
The volume of the box is maximized when x = 0.53 cm
Therefore,
x = 0.53 cm
Maximum volume = 1.75 cm³
Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below 15 and 39
Answer:
36
Step-by-step explanation:
You did not attach a picture, so I just assumed where the lengths of 15 and 39 were.
What are some key words used to note addition operations?
Answer:
The correct answer is
For addition, Caulleen used the words total, sum, altogether, and increase. But we could also have used the words combine, plus, more than, or even just the word "and". For subtraction, Caulleen used the words, fewer than, decrease, take away, and subtract. We also could have used less than, minus, and difference.
Step-by-step explanation:
hope this helps u!!!
Which correlation coefficient could represent the relationship in the scatterpot
Answer:
D. -0.98
Step-by-step explanation:
Well it is a negative correlation and it is really strong but it is impossible to go pasit -1.
Thus,
the answer is D. -0.98
Hope this helps :)
Answer:
D. -0.98
Step-by-step explanation:
The correlation is a negative if the Y value decreases as the x value increases. It is not -1.43 because it is not decraeseing that fast.
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
NO
54
оо
96
Answer:
2/3
Step-by-step explanation:
The equation for direct variation is: y = kx, where k is a constant.
Here, we see that y varies directly with x when y = 6 and x = 72, so let's plug these values into the formula to find k:
y = kx
6 = k * 72
k = 6/72 = 1/12
So, k = 1/12. Now our formula is y = (1/12)x. Plug in 8 for x to find y:
y = (1/12)x
y = (1/12) * 8 = 8/12 = 2/3
Thus, y = 2/3.
~ an aesthetics lover
Answer:
Step-by-step explanation: I hope i'm right
[tex]y \alpha x\\y=kx....(1)\\6=72k\\\frac{6}{72} =\frac{72k}{72} \\\\1/12 =k\\y = 1/12x=relationship-between;x-and;y\\x =8 , y =?\\y = \frac{8}{12} \\Cross-Multiply\\12y =8\\12y/12 = 8/12\\\\y = 2/3[/tex]
Y = -4x + 11 , 3x + y = 1
Answer:
(10, -29)
Step-by-step explanation:
I assume you are looking for the solution to this system of equations.
Plug them both into a graphing calculator. The point where they cross is:
(10, -29)
Answer:(10, -29)
Step-by-step explanation:
Solve the equation for x 5x-(4x-1)=2 A 1/9 B -1 C -1/9 D 1
Answer:
D
Step-by-step explanation:
The graph of y=−x+2 is shown below.
Answer:
What is the question?
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each sequence to its appropriate recursively defined function. f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2 f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2 f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2 f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2 f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2 f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2 Sequence Recursively Defined Function -24, -96, -384, -1,536, ... 28, -112, 448, -1,792, ... 13, 39, 65, 91, ...
Answer:
sequence 3no matching sequenceno matching sequenceno matching sequencesequence 2sequence 1Step-by-step explanation:
Recursively Defined Function Sequence
f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2 13, 39, 65, 91, ...
f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2
f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2
f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2
f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2 28, -112, 448, -1,792, ...
f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2 -24, -96, -384, -1,536, ...
__
The initial values are easily seen. They match f(1). The recursive functions can be tested to see if they match the offered sequences.
sequence 1 has a common ratio of 4 (not -4)
sequence 2 has a common ratio of -4 (it is not arithmetic)
sequence 3 has a common difference of 26 (it is not geometric)
Answer:
1 is sequence 3
5 is sequence 2
6 is sequence 1
(These r not included in the test, so don't use them)
|
\ /
2 is no matching sequence
3 is no matching sequence
4 is no matching sequence
Step-by-step explanation:
PLATO
In the diagram what is the measure of WRS
Step-by-step explanation:
in the diagram what is the value of WRS
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112 with a standard deviation of $16. Use a 0.05 level of significance and determine whether or not the average room price is significantly different from $108.50.
Which form of the hypotheses should be used to test whether or not the average room price is significantly different from $108.50?
H0:
a. mu is greater than or equal to $108.50
b. mu is greater than $108.50
c. mu is less than $108.50mu is less than or equal to $108.50
d. mu is equal to $108.50mu is not equal to $108.50
Ha:
a. mu is greater than or equal to $108.50
b. mu is greater than $108.50mu is less than $108.50
c. mu is less than or equal to $108.50
d. mu is equal to $108.50mu is not equal to $108.50
Answer:
H0 :
a. mu is greater than or equal to $108.50
Ha:
c. mu is less than or equal to $108.50
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence
In the given scenario the test is to identify whether the average room price significantly different from $108.50. We take null hypothesis as mu is greater or equal to $108.50.
A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tall
How many gallons of water are needed to fill the waterbed?
Assume i gallon is 013 cu ft. Round to the nearest whole galon
Hey there! I'm happy to help!
We want to find the volume of this rectangular waterbed. This means the amount of space it takes up. To find the volume of a rectangular prism, you just multiply together the three side lengths.
7×5×1=35 cubic feet
Now, we need to see how many gallons fit into 35 cubic feet. We see that one gallon is equal to 0.13 cubic feet. So, we can set up a proportion to find how many gallons are needed. We will use g to represent our missing number of gallons.
[tex]\frac{gallons}{cubic feet} = \frac{1}{0.13} =\frac{g}{35}[/tex]
In a proportion, the products of the diagonal numbers are equal. This means that 35, which is 1 multiplied by 35, is equal to 0.13g, which is from multiplying 0.13 by the g.
0.13g=35
We divide both sides by 0.13/
g≈269.23
When rounded to the nearest whole gallon, we will need 269 gallons of water to fill the waterbed.
I hope that this helps! Have a wonderful day! :D
Answer:
Step-by-step explanation:
Since the waterbed is rectangular, its volume would be determined by applying the formula for determining the volume of a cuboid which is expressed as
Volume = length × width × height
Therefore,
Volume of waterbed = 7 × 5 × 1 = 35 cubic feet
1 US gallon = 0.133680556 cubic feet
Therefore, converting 35cubic feet to gallons, it becomes
35/0.133680556 = 261.81818094772 gallons
Rounding up to whole gallon, it becomes 262 gallons
Solve for x in the equation X^2-16^x=0
Answer:
-1/2
Step-by-step explanation:
x^2- 16^x = 0x^2 = 16^xx^2 = 4^2xx = 4^xlogx = xlog41/x×logx = log4log(x^1/x) = log4x^(1/x) = 4At this point you can guess and try. And it seems that x = -1/2, lets check:
(-1/2)^(1 /-1/2)= (-1/2)^-2= 2^2= 4So, this is correct: x= -1/2
John is a quarterback. This year, he completed 350passes, which is 70%of all the passes he's attempted this year.
How many passes has John attempted this year?
Answer:
500
Step-by-step explanation:
350/70%=500
Y= 2/3x – 18 What is the rate of change from -5 to 10? What is the average rate of change from 0 to 3?
Answer:
this is all i got for the second question.
Step-by-step explanation:
That is, the average rate of change of from 3 to 0 is 1. That is, over the interval [0,3], for every 1 unit change in x, there is a 1 unit change in the value of the function. Here is a graph of the function, the two points used, and the line connecting those two points.
hope this kinda helps
-lvr