The probability that a car is blue is the likelihood of the car being blue
The probability that a car is, in fact, blue when the witness reports it as blue is 12%
How to determine the probability?The given parameters are:
P(Blue) = 15%
P(Accurate) = 80%
The probability that a car is blue, and the observation is accurate is calculated as:
P(Blue and Accurate) = P(Blue) * P(Accurate)
This gives
P(Blue and Accurate) = 15% * 80%
Evaluate the product
P(Blue and Accurate) = 12%
Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%
Read more about probability at:
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Give an example of a well-stated research question that involves estimating a characteristic about the population of part-time students at your college.
Improve the following research question so that it is a well stated research question. Research Question: Do students work a lot of hours?
Answer:
1) what is the number of male part time students between the ages 15 - 19 years?
2) do students work more than 4 hours a day?
In a market research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.
If one of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?
Answer:
Probability is 89.99%
Step-by-step explanation:
divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%
(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!
I give you 10 pts
Answer:
[tex]\huge\boxed{\bf\:62}[/tex]
Step-by-step explanation:
[tex](9*7) + 7 - 8 = ?[/tex]
We can solve this by using the PEMDAS concept where,
P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = SubtractionSo, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).
[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]
Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).
[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]
Now, subtract 8 from 70 .
[tex]70 - 8\\= \boxed{\bf\:62}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
the median value for this data set is
Answer:
275
Step-by-step explanation:
because it is in between 270 and 280
Help me please!!!!!!!!!!
Answer:
p(3,2)=====P'(-2,3)....
A fair die is rolled twice. Let X denote the sum of the values. What is E[X|A] where A is the event that the first roll was a 6.
We will see that the expected value for X given that the first number is a 6, is:
E[X|A] = 9.5
How to get the expected value?
We know that X represents the sum of both values. The first value is already 6, so we have that fixed:
X = 6 + p
Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:
E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5
Then the expected value of X, given the event A.
E[X|A] = 6 + p = 6 + 3.5 = 9.5
So the expected value for X is 9.5
If you want to learn more about expected values, you can read:
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Solve the two-step equation.
3
4
(x) − 1.72 = −6.82
1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answer:
[tex]\boxed{\sf{x=-0.15}}[/tex]Step-by-step explanation:
Isolate the term of x from one side of the equation.
34(x)-1.72=-6.82Rewrite the problem down.
⇒ 34x-1.72=-6.82
First, add by 1.72 from both sides.
⇒ 34x-1.72+1.72=-6.82+1.72
Solve.
⇒ -6.82+1.72=-5.1
Rewrite the problem down.
⇒ 34x=-5.1
Divide by 34 from both sides.
⇒34x/34=-5.1/34
Solve.
Divide the numbers from left to right.
⇒ -5.1/34=-0.15
⇒ x=-0.15
Therefore, the solution is x=-0.15, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Here is the correct answer is this
Step-by-step explanation:
How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3
Answer/Step-by-step explanation:
the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.
Show that f(x) = 3x
4 − 2x
2 + 5 is an even function.
*Pls help me*
Yasmine is trying to find an outfit for the first day of school. She has to choose from 3 pairs of skirts: one black, one pink and one orange. She also has five blouses: one with flowers, one with polka-dots, one gray, one white and one with words saying I love New York! How many possible outfits can she choose from? *Hint-create a probability table.
Answer:
15 outfits
Step-by-step explanation:
Given
3 skirtsone blackone pinkone orange5 blousesone w/ flowersone w/ polka dotsone grayone whiteone w/ "I love New York!"Probability : No. of outfits
There are 3 elements in set A (skirts) and 5 elements in set B (blouses)Therefore possible outfits = A x B = 15 outfitsP.S. Sorry I couldn't create the probability table.
PLEASE HELP! CALCULUS
Answer:
[tex] 55 < A < \frac{149}{2} [/tex]
Step-by-step explanation:
Given:
Function g(x) = 2x²-x-1, [2,5],
N = 6 rectangles
To find:
Two approximation (Left endpoint and Right endpoint of the area) of the area.
Solution:
Using Right endpoint approximation,
[tex]\Delta x = \frac{b - a}{N} \\ \Delta x = \frac{5 - 2}{6} \\ \Delta x = \frac{3}{6} = \frac{1}{2}[/tex]
Now,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x)[/tex]
Where i = 1,2,3,4......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + i \cdot \frac{1}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + \frac{i}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg( f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + f( 5) \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(2 \times { (\frac{5}{2} )}^{2} - \frac{5}{2} - 1 ....... +2 \times { ({5} )}^{2} - {5}- 1 \bigg) [/tex]
After solving each function,
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(9 + 14 +20 + 27 + 35 + 44\bigg) \\ \displaystyle\sf \: R_n \: = \frac{149}{2} [/tex]
Similarly for left endpoint approximation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N - 1} f(a + i \Delta x)[/tex]
Where i = 0,1,2,3......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N } f(a + i \Delta x) \\ \displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^{N } f(2 + i \frac{1}{2} ) \\\displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(f( 2) + f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(5+ 9 + 14 +20 + 27 + 35 \bigg) \\ \displaystyle\sf \: L_n \: = \frac{110}{2} = 55 \\ [/tex]
Right approximation 149/2
Left approximation 55
Hence the Area is bounded in,
[tex] 55 < A < \frac{149}{2} [/tex]
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Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x
Using a system of equations, it is found that Anne gets 5x - 10 pens.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we consider that John gets x pens.
Lucy gets 2 pens less than john, hence:
L = x - 2.
Anne gets 5 times many pens as lucy, hence:
A = 5L = 5(x - 2) = 5x - 10.
More can be learned about a system of equations at https://brainly.com/question/24342899
Choose the best answer that represents the property used to rewrite the expression.
log6 20 - log6 x = log6 20/x
Answer:
㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.So we can write,㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6) If we divide 18 by 6 we will get 3.So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)
Step-by-step explanation:
Answer:Quotient Property
Step-by-step explanation:The property used to rewrite the expression is the quotient rule of logarithms, which states that log_b(x/y) = log_b(x) - log_b(y).
Help please in picture below
Answer:
vertex is a point where two sides meet
Find the point P on the line y = 5x that is closest to the point (52,0)
Answer:
(2,10)
Step-by-step explanation:
Whenever you want to find the point that is closest, it will always be perpendicular to the line
This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)
So
In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.
In this case:
the slope is 5
So:
the negative reciprocal is -1/5
Now we know the slope of the line that will be made by point P to intersect with y=5x
Then, you use the equation:
y=mx+b
and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:
0 = -1/5(52) + b
b = 52/5
Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x
5x = -1/5x + 52/5
x = 2
then to find the y coordinate you plug the x back into the equation:
y = 5(2)
y = 10
So the answer is (2,10)
Multiply 6−√5 by its conjugate and simplify
[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]
[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]
Help me out please, should be easy
Answer:
I'm pretty sure the points are plotted at (-1,-2) but I'm not exactly sure. Correct me if I'm wrong! :D
Help picture below problem 13
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]
Thus the missing side length is 12 cm
Hope that helps!
What is the range of f(x)?
This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller.
What is the difference in volume of the two compartments?
Enter your answer in the box.
cm³
Right trapezoidal prism. The height of the trapezoid base is labeled 7 cm. The larger base is labeled 15 cm and the shorter base is labeled 5 cm. The two legs of the trapezoid are labeled 10 cm. The height of the prism is labeled 8 cm.
cm³
help please
Answer:
140
explanation:
I took the test
Answer:
210 cm
Step-by-step explanation:
If the trapezoid in the picture is the one mentioned in the problem, then the answer is 210 cm. I did the test.
121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17
Answer:
D.
41.17 because it is possible answer to the question
Find the surface area of each prism. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Since surface area is the total area from each side, we will take the area of 3 unique sides (ie. dimensions of A x B x C will give 3 unique surfaces of dimensions A x B, B x C and A x C) and multiply each one by 2 to get the area from its duplicate. This condenses to SA (Surface Area) = 2(AB) +2(BC) + 2(AC).
Substituting in our dimensions:
[tex]SA=2(8\frac{1}{4} * 6\frac{2}{3} )+2(8\frac{1}{4}*12)+2(6\frac{2}{3}*12)[/tex]
Evaluate: SA = 468 yd²
In 8- 11 find the area of each parrelogram or rhombus
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively.
How to determine the area of a parallelogram
A parallelogram is a quadrilateral with two pairs of parallel sides with equal length and two pairs of angles of equal measure. The area of the parallelogram (A), in square yards or square inches, equals the product of its base length (b), in yards, and its height (h), in yards.
The area of each parallelogram is determined afterwards:
Exercise 10A = (10.5 in) · (10 in)
A = 105 in²
Exercise 11A = (9 yd) · (2.333 yd)
A = 20.997 yd²
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively. [tex]\blacksquare[/tex]
To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/1563728
Help help ASAP math math
Answer:
-1/1
Step-by-step explanation:
=64/-8
over
36-30+2
= -8
over
8
= -1
over
1
Answer:
[tex] \rightarrow - 1[/tex]
Step-by-step explanation:
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]
[tex] \rightarrow \: - 1[/tex]
can someone please tell me the answer to this I can’t figure it out!!
Answer:
the answer is (0, 0) trust me
I need help quick please
Answer:
A= 123º
B= 93º
Step-by-step explanation:
A is just a guess.
B is correct though, it is close to 90º but it is greater than 90º
Answer:
Final solution -
[tex]\dashrightarrow \angle \: A = 137\degree \\ \\ \dashrightarrow \angle \:B = 93\degree[/tex]
_____________________________
_____________________________
Additional information -
★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°
★ Angle sum property of quad. ( quadrilateral , any four sided figure ) states that the sum of all the angles of a quadrilateral equals 360°
★ Linear pair of angles are formed when two lines intersect each other at a single point. n number of angles forming a linear pair always have their sum equalling 180°
_____________________________
_____________________________
hope helpful :D
something times 5 = 1?
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
You can think of this "something" as a variable, which is x
So:
5x = 1
Divide both side by 5:
x = 1/5
Identify the percent rate of change in exponential function y=(0.9)
Answer:
90
Step-by-step explanation:
0.9 multiplied by 100 to turn it into a percentage is 90.
Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59
What is the better buy
Divide price by size of each and compare the u it price:
2.99/32 = 0.0934 per ounce
1.59/18 = 0.0883 per ounce
The 18 ounce do $1.59 has a lower cost per ounce so is the better buy
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 2x² – 20x +7
The vertex is
(Type an ordered pair.)
Answer:
(5, -43)
Step-by-step explanation:
The value of the x-coordinate of the vertex of a function in standard form is given by -b/2a. The value of a is the coefficient of the x^2 term. The value of b is the coefficient of the x term. In this problem, a = 2 and b = -20. When you evaluate -b/2a you would replace the b with -20 and replace the a with 2 so you get -(-20)/2(2) so the value of x is 5. Determine the value of y by evaluating f(5) = 2(5)^2 - 20(5) +7.