Answer:
0,1,2,3,4,5,6,7,8,9
Step-by-step explanation:
: probability of meeting someone with a phone number that ends with 3 .....
= 3/total amount of no ×100
3÷10= 0.3
: 0.3×100= 30% probability.
Assuming a phone number is 10 digits long and the last digit can be any of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) with equal probability, the probability of randomly meeting someone with a phone number that ends in 3 is 1/10, or 0.1.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
If the phone number is 10 digits long, there are 10 possible digits that could be at the end. Since only one of those digits is a 3,
the probability of randomly selecting a phone number that ends in 3 is:
1/10 = 0.1 or 10%
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Pls answer and give explanation will give brainiest
Answer:
I don't know
Step-by-step explanation:
Answer:
11/18
Explanation:
Find the LCM
6 × 3 = 18
9 × 2 = 18
Since you found the LCM, multiply the numerators by the number you multiplied the denominators by.
[tex]\frac{5 *3}{6*3}= \frac{15}{18}[/tex]
[tex]\frac{2*2}{9*2}=\frac{4}{18}[/tex]
Now subtract.
[tex]\frac{15}{18} -\frac{4}{18} =\frac{11}{18}[/tex]
Solve the following proportions for v V/5=13/17
A random variables X and Y are distributed according to the joint PDF. The value of constant a = _______.f(x,y)=ax if 1<=1x<=y<=2 and 0 otherwise
======================================================
Explanation:
PDF = probability density function
The given joint PDF is
[tex]f(x,y) = \begin{cases}ax \ \ \ \text{ if } 1 \le x \le y \le 2\\0 \ \ \ \ \ \text{ otherwise}\end{cases}[/tex]
Let's focus on the [tex]1 \le x \le y \le 2[/tex]. Specifically the x term for now. Erasing out the y term, we have the inequality [tex]1 \le x \le 2[/tex] which says x is between 1 and 2, inclusive. We have almost the same story for y, but there's another condition attached to it: y must also be equal to or larger than x.
So let's say x = 1.5. This would mean [tex]1.5 \le y \le 2[/tex]. As another example, x = 1.7 leads to [tex]1.7 \le y \le 2[/tex]. In general, we would say [tex]x \le y \le 2[/tex] where x is between 1 and 2.
As x gets bigger, the range of possible y values gets smaller. If x = 2, then y has no choice but to be 2 as well.
-----------------
Based on that, we'll have a double integral that looks like this:
[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\[/tex]
The outer integral handles the x terms that range from 1 to 2, describing [tex]1 \le x \le 2[/tex]. Note the dx on the outside. The order of the dy and dx matters.
On the inside, we have the integral for dy ranging from x to 2 to describe the interval [tex]x \le y \le 2[/tex]
To have f(x,y) be a PDF, the volume under the f(x,y) surface must be 1, where the volume is based on the bounds set up. So we must have V = 1. We'll use this later.
-----------------
Let's simplify the double integral.
We'll start by computing the inner integral with respect to y.
[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\\displaystyle V = \int_{1}^{2}\int_{x}^{2}\left(ax\right)dydx\\\\\displaystyle V = \int_{1}^{2}\left(axy\Bigg|_{x}^{2}\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(ax(2) - ax(x)\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\[/tex]
Then we'll finish it off by integrating with respect to x.
[tex]\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\\displaystyle V = \left(ax^2 - \frac{1}{3}ax^3\right)\Bigg|_{1}^{2}\\\\\displaystyle V = \left(a(2)^2 - \frac{1}{3}a(2)^3\right) - \left(a(1)^2 - \frac{1}{3}a(1)^3\right)\\\\\displaystyle V = \left(4a - \frac{8}{3}a\right)-\left(a - \frac{1}{3}a\right)\\\\[/tex]
[tex]\displaystyle V = 4a - \frac{8}{3}a-a + \frac{1}{3}a\\\\\displaystyle V = 3a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9}{3}a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9-8+1}{3}a\\\\\displaystyle V = \frac{2}{3}a\\\\[/tex]
Side note: We don't have to worry about the "plus C" integration constant when working with definite integrals.
Recall that V = 1. So,
[tex]\displaystyle V = \frac{2}{3}a\\\\\displaystyle \frac{2}{3}a = 1\\\\\displaystyle a = \frac{3}{2} = 1.5\\\\[/tex]
a = 3/2 is the final answer.
Multiply: x^1/6(x^1/6+x^3/4)
[tex]x^{\tfrac 16} \left(x^{\tfrac 16} + x^{\tfrac 34} \right)\\\\\\=x^{\tfrac 16} \cdot x^{\tfrac 16} + x^{\tfrac 16} \cdot x^{\tfrac 34}\\\\\\=x^{\left(\tfrac 16 + \tfrac 16\right)} + x^{\left(\tfrac 16 +\tfrac 34\right)}\\\\\\=x^{\tfrac 26} + x^{\tfrac {11}{12}}\\\\\\=x^{\tfrac 13} +x^{\tfrac{11}{12}}[/tex]
7. at + b = ar – c
Solve for a
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I need helpnwith this problem.
Help help math please I’m stuck help help help
Answer:
12x
Step-by-step explanation:
I am not really sure how to explain it I just looked it up
2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed.
Answer:
hello which grade question i
[tex]6 \times 2[/tex]
please I need ur help
Answer:
12
Step-by-step explanation:
You do 6+6, or 2+2+2+2+2+2=12
Please help! photo is attached with the problem.
a bike cost 129.90 what is your total with a tax of 5%
Answer:
so you just use the equation to get the formula and extract the common denominator
Step-by-step explanation:
because i said so
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
Quadratic functions 30pt
Answer:
y= -x -3
Step-by-step explanation:
A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).
Let's find the slope of the line segment.
\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2
Slope of line segment
= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)
= \frac{4 + 8}{5 + 7}=5+74+8
= \frac{12}{12}=1212
= 1
The product of the slopes of 2 perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
m(1)= -1
m= -1
y= -x +c
To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.
Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.
\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)
Midpoint of line segment
= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)
= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)
= (-1, -2)
y= -x +c
When x= -1, y= -2,
-2= -(-1) +c
-2= 1 +c
c= -2 -1
c= -3
Thus, the equation of the perpendicular bisector is y= -x -3.
Extended Problems, Extraneous Solutions
I need help asap please, this is due in 1 day!
100 POINTS
Answer:
1a. 2 is the solution
1b. -3 is because square root of 1 doesn't equal -1.
1c.-3
Step-by-step explanation:
1.
[tex](x + 2 = \sqrt{3x + 10} [/tex]
Square both sides
[tex](x + 2) {}^{2} = 3x + 10[/tex]
Remeber perfect square Rule
[tex](x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]
So now we got
[tex]x {}^{2} + 4x + 4 = 3x + 10[/tex]
[tex] {x}^{2} + x + 4 = 10[/tex]
[tex] {x}^{2} + x - 6 = 0[/tex]
Factor into binomial.
[tex](x + 3)(x - 2) = 0[/tex]
So our solution is 3 or 2. However, let's check our work.
[tex] - 3 + 2 = \sqrt{3( - 3) + 10} [/tex]
[tex] - 1 = \sqrt{1} [/tex]
However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.
So let try 2.
[tex]2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4[/tex]
So this is indeed the solution.
Make up equation for 2 and 3. Ask me if you need help.
Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event
Answer:
half-class
Step-by-step explanation:
Answer:
42.86%
Step-by-step explanation:
Event = Girl
Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.
# of possible outcomes = 14
There are 6 girls in the class and thus there are 6 favorable outcomes.
# of favorable outcomes = 6
The probability is the number of favorable outcomes divided by the number of possible outcomes.
P(Girl) = # of favorable outcomes
# of possible outcomes
= [tex]\frac{6}{14}[/tex]
= [tex]\frac{3}{7}[/tex]
≈ 0.4286
= 42.86%
Result
[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%
−x + 2y − z = 0
−x − y + 2z = 0
2x − z = 8
Step-by-step explanation:
several possibilities to solve this.
let's start with subtracting the second equation from the first
-x + 2y - z = 0
- -x - y +2z = 0
-------------------------
0 3y - 3z = 0
y - z = 0
y = z
now we use this in e.g. the first equation :
-x + 2z - z = 0
-x + z = 0
z = x (therefore, also x = y)
now we use this in the third equation :
2x - x = 8
x = 8 = y = z
Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *
If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.
Help
This is a a or b question
Answer:
A. (A) Yes
B. (A) Yes
C. (B) No
Step-by-step explanation:
A is Categorical because it is not based on numbers.
B is Categorical because it is not based on numbers.
C is Not Categorical because it is based on numbers.
The chart below shows the number of tickets to the annual teachers VS.
students basketball game. What was the most number of tickets sold?
A. 12
B. 31
C. 40
D. 60
The most no. of tickets sold is 60.
What is bar graph?The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.
Given the graph between total student and number of ticket sold,
where students shown in Y axis and tickets sold in X axis,
as Shown in graph maximum number of tickets sold are 51 to 60
Hence the maximum number of ticket sold is 60.
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Can you guys please help!!!!! I need to know what 13x4=nx26 means???!!!!????
Answer:
n = 34/13
Step-by-step explanation:
13 x 4 = n x 26
=> 68 = 26n
=> n = 68/26
=> n = 34/13
Therefore, n = 34/13
Hoped this helped.
[tex]GeniusUser[/tex]
3. Write an equation in slope-intercept form for the line with a slope of 5/4 and a
y-intercept of 2.
Answer:
y = [tex]\frac{5}{4}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{5}{4}[/tex] and c = 2 , then
y = [tex]\frac{5}{4}[/tex] x + 2 ← equation of line
!PLS HELP ASAP 30 POINTS !Determine the seating of an auditorium with 35 row of seats if there are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, 19 seats in the forth, and so on. What is the total number of seats?
Answer: 2135
step by step explanation:
I don't really think this is necessary
Salt water gargle can temporarily relieve a sore throat. One recipe calls for 3/4 teaspoon of salt in 1 cup of water. A second recipe calls for 1 teaspoon of salt in 2 cups of water. Which recipe will taste saltier?
Answer:
The first recipe - 3/4 tsp of salt in 1 cup of water
Step-by-step explanation:
1st recipe Salt per cup = 3/4 tsp / 1 cup = 3/4 tsp salt
2nd recipe Salt per cup = 1 tsp / 2 cups = 1/2 tsp salt
3/4 tsp > 1/2 tsp, hence the first recipe is saltier
what is 12-(-3)-2(4)
Answer:
7
Step-by-step explanation:
12-(-3)-2(4)
12-(-3)-8
15-8=7
Help pls ASAP
SOLVING QUADRATIC EQUATIONS BY FACTORING
Answer:
Down, Down, Right, Right, diagonal left, up, right
Step-by-step explanation:
Not gonna do every equation here tho lol
when is a supplier standards form required to be provided to the beneficiary cvs
Answer:
AOB forms must be collected every time a beneficiary fills a Medicare part b prescription
Mai skated x miles, and Clare skated 2 times farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
A train travels from point A to B at a speed of 100km/h. how long it will take to travel 25 km
Answer:
Step-by-step explanation:
25 km / 100 km/hr = 0.25 hr or 15 minutes
It will take 0.25 hours to travel 25 km.
Given
A train travels from point A to B at a speed of 100km/h.
Distance;
Distance is defined as the product of speed and time.
The following formula is used to calculate the time;
[tex]\rm Time =\dfrac{Distance}{Speed}\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours[/tex]
Hence, it will take 0.25 hours to travel 25 km.
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A house on the market was valued at $233,000. After several years, the value decreased by 15%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:
Current house value:
Answer:
decrease: $34,950current value: $198,050Step-by-step explanation:
The decrease in value is ...
15% of $233,000 = $34,950
The current house value is ...
$233,000 -34,950 = $198,050
Which expression is equivalent to w • 35?
Answer:W= B-3 or 3=B-W
Step-by-step explanation: