Answer:
or
Step-by-step explanation:
find the mode, median, mean, and range of 3, 7, 2, 4, 7, 5, 7, 1, 8, 8
Answer:
Mean = 5.2
Mode = 7
Median = 6
Range = 7
Step-by-step explanation:
Mean is all 10 numbers added up divided by 10
Mode is 7 s it is the most common integer
Median is 6 as it is the middle number between 5 and 7 and 7+5/2 = 6
Range is 7 as 8-1 is 7
Hope this helps :)
The numbers 0 through 9 are used to create a 3-digit security code. If numbers cannot be repeated, what is the probability that the security code contains the numbers 8, 3, and 1 in any order?
The probability that the security code contains the numbers 8, 3, and 1 in any order ⇒ 1.19%.
Given that,
The numbers 0 through 9 are used to create a 3-digit security code
Now,
We can utilize the permutation formula to solve this problem.
Because we have three numbers to pick from,
There are 3! = 6 different ways to arrange them.
We have 9 options for the first digit of each number, 8 options for the second digit (since we can't repeat the first number), and 7 options for the third digit (because we can't repeat the first or second number).
As a result, the total number of 3-digit codes that can exist without repetition is 9 x 8 x 7 = 504.
As a result,
the probability of receiving the security code with the numbers 8, 3, and 1 in any combination is 6/504, which simplifies to 1/84, or approximately 1.19%.
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(1 point) find the absolute maximum and absolute minimum values of the function f(x)=x3−12x2−27x 9 over each of the indicated intervals.
To find the absolute maximum and minimum values of the function f(x) = x³ - 12x² - 27x + 9 over a given interval, we need to follow these steps:
1. Find the critical points of the function by setting its derivative f'(x) = 3x² - 24x - 27 equal to zero and solving for x. We get x = -3, 3, and 4 as critical points.
2. Evaluate the function at the critical points and the endpoints of the interval to find candidate points for the absolute max/min values.
f(-3) = -63, f(3) = -45, f(4) = 1, f(-infinity) = -infinity, and f(infinity) = infinity.
3. Compare the values of the function at the candidate points to determine the absolute maximum and minimum values.
The function has a local maximum at x = -3 and a local minimum at x = 4, but neither of these points is in the given interval. Therefore, we only need to consider the endpoints.
The absolute maximum value of the function over the interval (-infinity, infinity) is infinity, which occurs at x = infinity.
The absolute minimum value of the function over the interval (-infinity, infinity) is -infinity, which occurs at x = -infinity.
Explanation: We used the concept of critical points and candidate points to determine the absolute maximum and minimum values of the function over the given interval. The critical points are the points where the derivative of the function is zero or undefined, and the candidate points are the critical points and the endpoints of the interval. By evaluating the function at these points and comparing the values, we can identify the absolute max/min values. In this case, we found that the function has no absolute max/min values over the given interval, but has an absolute max of infinity at x = infinity and an absolute min of -infinity at x = -infinity over the entire domain of the function.
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One half of the number of roses julia planted in her garden is two fifth of the number of the number of tulips she planted. What is the ratio of the number of tulips to the number of roses in Julia's garden?
The ratio of the number of tulips to the number of roses in Julia's garden is 5:4.Let's represent the number of roses as 'r' and the number of tulips as 't'.
According to the given information, one half of the number of roses is equal to two fifths of the number of tulips. Mathematically, this can be expressed as:
(1/2) * r = (2/5) * t
To find the ratio of the number of tulips to the number of roses, we divide both sides of the equation by 'r':
(1/2) = (2/5) * t / r
Now, we can simplify the equation:
(1/2) = (2/5) * (t/r)
To eliminate the fraction, we can multiply both sides of the equation by 2:
2 * (1/2) = 2 * (2/5) * (t/r)
1 = (4/5) * (t/r)
Finally, to isolate the ratio of tulips to roses, we divide both sides of the equation by (4/5):
1 / (4/5) = (4/5) * (t/r) / (4/5)
5/4 = (t/r)
Therefore, the ratio of the number of tulips to the number of roses in Julia's garden is 5:4.
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Which is correct equation , in slope intercept form , for the line described below?
x-intercept =-2
Y-intercept=6
Answer:
\(y=3x+6\)
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
\(y=mx+b\)
Being m the slope and b the y-intercept.
We are given two points for the required line: The x-intercept is -2, thus the point is (-2,0), and the y-intercept b=6 represents the point (0,6).
Since the value of b is 6, we use the first point to find the slope:
\(0=m(-2)+6\)
Solving:
m=3
The correct equation of the line is:
\(\boxed{y=3x+6}\)
Which polynomial is a quartic trinomial?
A. -x^4-5x^2 + 1
B. x^2 + 4
C. x^3 + 2x^2 - 8x + 16
D. 3x^5 + 7x^2 - 9x^4
Answer:
A
Step-by-step explanation:
a quartic trinomial is a polynomial of degree 4 , with 3 terms
The only polynomial to fit this description is A
which number comes first when The numbers are listed from least to greatest a. 1/6 b. -1 c. 5 squared d. -7/2 e. 4.6
the answer is C. -1
Step-by-step explanation:
-1 is the smallest number
two step equation
find the value in the eqaution
4/q (q-10)=8
The solution q = -10 does not satisfy the original equation. Therefore, there is no solution to the equation.
What are equations?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".
To solve the equation \(\frac{4}{q}(q-10) = 8\) we can begin by simplifying the left side of the equation:
\(\frac{4}{q}(q-10) = 8\)
\(\Rightarrow \qquad 4(q-10) = 8q \text {multiply both sides by }q\)
\(\Rightarrow \qquad 4q - 40 &= 8q && \text{distribute }4 \\\\\Rightarrow \qquad -40 &= 4q && \text{subtract }4q\text{ from both sides} \\\\\Rightarrow \qquad -10 &= q && \text{divide both sides by }-4.\\\end{align*}\)
Therefore, the solution to the equation is q= -10. We can check our answer by plugging q= -10 back into the original equation:
\(\frac{4}{q}(q-10) &= 8 \\\\\\\Rightarrow \qquad \frac{4}{-10}(-10-10) &= 8 && \text{substitute }q=-10\\\\\\\Rightarrow \qquad -\frac{4}{5} \cdot (-20) &= 8 \\\\\\\Rightarrow \qquad 16 &= 8\end{align*}\)
Since the last equation is false, the solution q = -10 does not satisfy the original equation. Therefore, there is no solution to the equation.
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An object has a mass of 175 g and a volume of 25 cm3.
Find the density of the object in g/cm3.
im sorry for asking so many questions, but please help
Answer:
x=110˚
Step-by-step explanation:
We need to first find the other degree inside the triangle
first add 45˚ and 65˚
which is 110˚
subtract 110˚ with 180˚
which is 70˚
So we find x since a straight line is 180˚
subtract 70 and 180
which is 110˚
Hoped I helped!
Answer:
110 degrees
Step-by-step explanation:
A triangle is 180 degrees. So if the missing angle is 70, and 70+x=180 then x=110
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
2x + 7 = - 4x + 11
what’s the answer?
Answer:x=2/3
Step-by-step explanation:
A delivery driver makes $78 each day that she works and makes approximately $7 in tips for each delivery that she makes. If she wants to make at least $225 in one
day, at least how many deliveries does she need to make?
Given the equation
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?
Answer:
y=-2x+5
Step-by-step explanation:
hope i helped
Answer:
Y=2x+5
Step-by-step explanation:
Move the variable (x) to the right
2y= 10-4x
divide both sides of the equation by 2
y=5-2x
and then reorder the terms
y=-2x+5
:)
Find the angle between the given vectors. Round to the nearest tenth of a degree. u=-3i+ 4j, v = 7i+5j
The angle between u and v , after rounding is approximately 121.2 degrees.
To find the angle between two vectors, you can use the dot product formula:
u · v = ||u|| ||v|| cos(theta)
where ||u|| and ||v|| are the magnitudes of the vectors u and v, and theta is the angle between them.
First, we need to calculate the magnitudes of u and v:
||u|| = sqrt((-3)^2 + 4^2) = 5
||v|| = sqrt(7^2 + 5^2) = sqrt(74)
Next, we can calculate the dot product of u and v:
u · v = (-3)(7) + (4)(5) = -1
Now we can use the dot product formula to solve for theta:
-1 = (5)(sqrt(74)) cos(theta)
cos(theta) = -1 / (5 sqrt(74))
theta = acos(-1 / (5 sqrt(74))) ≈ 121.2 degrees
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How far has a car traveled in 4 hours if it is constantly moving at 60 miles / hour? a. 4 miles. b. 240 miles. c. 60 miles. d. 64 miles.
The car has traveled 240 miles in 4 hours. The correct answer is option b.
To calculate the distance traveled by the car, we can use the formula:
Distance = Speed * Time
In this case, the speed of the car is given as 60 miles/hour, and the time is given as 4 hours. Plugging these values into the formula, we get:
Distance = 60 miles/hour * 4 hours = 240 miles
Therefore, the car has traveled 240 miles in 4 hours.
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A tank (Container A) has a capacity of 235 ml and a jug (Container B) has a capacity of 105 ml
more than the tank. The contents of 3 tanks and 2 jugs are poured into Container C to fill it to the
brim, find the capacity in Container C.
___ ml
A. 1250
B.1385
C.1185
D.1000
Using the quantity equation of money mv=pq, calculate the money supply (m) if velocity (v) equals 4, the price level (p) equals 100, and real gdp (q) equals 125.
The money supply using the quantity equation of money mv=pq, will be 3125.
We have,
The quantity equation of money,
i.e. mv = pq,
Here,
m = money supply,
v = velocity ,
p = price level,
q = real gdp
So,
Now,
According to the question,
To find money supply,
We will use The quantity equation of money,
i.e. mv = pq,
So,
Now,
Putting values,
i.e.
Money supply × velocity = price level × real gdp,
i.e.
m × 4 = 100 × 125
On solving we get,
m = 3125
i.e.
Money supply = 3125,
So,
The money supply using the quantity equation of money = 3125.
Hence we can say that the money supply using the quantity equation of money mv = pq, will be 3125.
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Which statement describes the graph of function g compared to function f?
f(x) = 6x − 2
g(x) = 0.4(6)x − 2
A.
The graph of g is a horizontal compression of the graph of function f.
B.
The graph of g is a vertical stretch of the graph of function f.
C.
The graph of g is a vertical compression of the graph of function f.
D.
The graph of g is a horizontal stretch of the graph of function f.
The correct answer is B. The graph of g is a vertical stretch of the graph of function f.
The given functions are:
f(x) = 6x - 2
g(x) = 0.4(6)x - 2
To determine the relationship between the graphs of functions f and g, let's analyze the coefficients in front of the variable 'x' in both functions.
In function f(x), the coefficient of 'x' is 6.
In function g(x), the coefficient of 'x' is 0.4(6), which simplifies to 2.4.
The coefficient in front of 'x' determines the slope or the rate of change of the function. In this case, since function f has a coefficient of 6 and function g has a coefficient of 2.4, we can conclude that:
The graph of function g is a vertical stretch of the graph of function f.
A vertical stretch occurs when the entire graph is scaled vertically, resulting in a change in the y-values. In this case, the vertical stretch is by a factor of 2.4, indicating that the y-values in function g are 2.4 times larger than the corresponding y-values in function f.
Therefore, the correct answer is:
B. The graph of g is a vertical stretch of the graph of function f.
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Math Lesson help me please asap
Answer:
AB = 7.28 units
Step-by-step explanation:
\(\boxed{\begin{minipage}{8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}\)
From inspection of the given graph:
A = (-5, -4)B = (-3, 3)Substitute the given points into the formula:
\(\begin{aligned}\impliesAB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(-3-(-5))^2+(3-(-4))^2}\\& =\sqrt{(2)^2+(7)^2}\\& =\sqrt{4+49}\\& =\sqrt{53}\\ & = 7.28\; \sf units \; (nearest \: hundredth)\end{aligned}\)
Dan noticed that each of the four times he ate a hamburger and shake at a fast food emporium, he got a poor grade on a Spanish test that day. He conjectures that he should eat only Mexican food on the day of a Spanish test.
Poor or good inductive reasoning explain why?
Answer:
That is poor reasoning
Step-by-step explanation:
There is no evidence that because he ate a burger that he will get a good grade. He just sucks at Spanish. He should study more.
A prism is completely filled with 64 cubes that have edge lengths of 12 in. What is the volume of the prism? Enter your answer in the box
Answer:
answer;8
Step-by-step explanation:
I took the test and got it right
Answer:
110592 in^3
Step-by-step explanation:
12x12x12=1728
1728x64=110592
May I please receive help?
Please
Answer:
67 degrees by rule of SAS
Step-by-step explanation:
The picture tells us these are two different isosceles triangles joined together and only two side and one angle is congruent with the other = By rule of SAS triangle 1 top angle is 180-68-68 = 44 degree and t2 = 90 - 44 = 46 for triangle 2 top meaning base angles each are (180-46) /2 = 134/2 = 67 degree
Step-by-step explanation:
The isosceles triangle ;
so 68 + 68 + the another angle = 180
the another angle = 44
So 90 - 44 = 46
The isosceles triangle ;
46 + x + x = 180
2x = 134
x = 67
Please give me a brainliest answer
Suppose that a box contains 7 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the probability distribution for X.Round probabilities to 4 decimal places 6/21 What is the expected value of X? 20a, " Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for infinity Box 2: Enter your answer as a number (like 5,-3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243,5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5,-3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, oo for Infinity
In this scenario, we have a box containing 7 cameras, with 4 of them being defective. We are interested in the number of defective cameras in a sample of 2 cameras, represented by the random variable X.
To find the probability distribution for X, we calculate the chances for each possible outgrowth. The probability of having 0 imperfect cameras( X = 0) is1/7, as there's only one way to elect 2non-defective cameras out of the 7 available. The anticipated value of X, denoted as E( X), provides an estimate of the average number of imperfect cameras in a sample of 2. It's calculated by multiplying each possible outgrowth by its corresponding probability and casting them up.
Probability distribution for X:
P(X = 0) = 1/7
P(X = 1) = 4/7
P(X = 2) = 2/7
Expected value of X: 1.1429
In this case, the anticipated value of X is1.1429, indicating that, on average, we'd anticipate to find roughly1.1429 imperfect cameras in a sample of 2 cameras. The anticipated value serves as a measure of central tendency and provides perceptivity into the long- term average outgrowth.
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each unit square of a $3\times 3$ grid of unit squares is to be colored either blue or red. for each square, either color is equally likely to be used. find the probability of obtaining a grid that does not have a $2\times 2$ red square.
The probability of obtaining a grid that does not have a 2 × 2 red square is 127/128 and the value of (p + q + 1) / 310 is 0.82.
Total number of outcomes = \(2^9\) = 512
We will subtract the outcomes of obtaining a grid that does not have a
2 × 2 red squares from the total outcomes.
Favorable outcomes = Total outcomes - outcomes having \(2\) × \(2\) red squares
= \(2 ^3 - 4\)
= 508
So favorable outcomes are 508.
Probability calculates the chances of experiments occurring. It is obtained by the ratio between favorable outcomes and total outcomes. It is basically how likely something is to happen.
Probability = Favorable outcomes / Total no. of outcomes
= 508 / 512
= p/q
= 127/128
So, the probability of obtaining a grid that does not have a 2 × 2 red square is 127/128.
Now, the value of (p + q + 1)/310
= (127 + 128 + 1)/310
= 256/310
= 0.82
Therefore, the value of (p + q + 1) / 310 is 0.82.
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The complete question is -
"Each unit square of a 3 * 3 square grid is to be colored either blue or red for each square, either color is equally likely. The probability of obtaining a grid that does not have a 2 * 2 red square is CHCF(p,q) is 1). Find this probability and then find the value of (p + q + 1) / 310 ?"
Shelley’s resolution is to bike 192 miles each week. If she rides with a average speed of 9.6 mph and plans to ride an equal amount of time each day, about how many hours a day should she plan to ride?
Answer:(192/9.6)÷7=20/7
Step-by-step explanation:
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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What is the equation of the line that passes through the point (3, 5) and has a slope
of-1/3?
Answer: y=-x/3+6
Step-by-step explanation:
y=(-1/3)x+b
5=(-1/3)(3)+b
5=-1+b
b=6
y=-x/3+6
i chose the last one but i just want to make sure i got right
Answer:
Yes! Good job!
If you can pick multiple its also C. and B.
Which expression is equivalent to -6(-2/3+2x)?
A. -4-12x
B. -4+12x
C. 4-12x
D. 4+12x