Answer:
0.6462 = 64.62% probability that the person uses exactly one of the facilities
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
20 people use the gym and the track and 6 people use all three facilities
So 20-6 = 14 use exactly the gym and the track and 6 use all three.
8 people use the pool and the track
So 8 - 6 = 2 use exactly the pool and the track.
23 people use the gym and the pool.
So 23 - 6 = 17 use exactly the gym and the pool.
32 people use the track
So 32 - (6 + 14 + 2) = 10 use only the track.
60 people use the swimming pool
So 60 - (6 + 2 + 17) = 35 use only the pool.
76 people use the gym
So 76 - (6 + 14 + 17) = 39 use only the gym
What is the probability that the person uses exactly one of the facilities?
Out of 130, 39 + 35 + 10 = 84 use exactly one of the facilities.
84/130 = 0.6462
0.6462 = 64.62% probability that the person uses exactly one of the facilities
You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
(h,k)
Answer:
Step-by-step explanation:
Equation of circle: (x - h)² + (y -k)² = r²
(x+ 3)² + (y + 9)² = 144
(x+ 3)² + (y + 9)² = 12²
h = -3 ; k = -9
Which amount is greater, 5 feet or 2 yards?
Answer:
2 yards is greater then 5 feet
Step-by-step explanation:
A yard is 3 feet, 3+3=6 I hope this helps!
HELP ME PLEASE!!!!!!!!!!!
Answer:
9.y=Mx+b
Y= 2/5x+4
10. y=Mx+b
Y=4x-5
Step-by-step explanation:
Answer:
9) [tex]y=\frac{2}{5} x+4[/tex]
10) [tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, or the value of y when the line crosses the y-axis.
Question 9
[tex]y=mx+b[/tex]
The question tells us that the slope of the line is [tex]\frac{2}{5}[/tex]. Because the slope is [tex]m[/tex], plug [tex]\frac{2}{5}[/tex] into the equation as [tex]m[/tex].
[tex]y=\frac{2}{5} x+b[/tex]
Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is [tex]b[/tex], plug 4 into the equation as [tex]b[/tex].
[tex]y=\frac{2}{5} x+4[/tex]
Question 10
[tex]y=mx+b[/tex]
First, we must calculate the slope using the slope equation:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
The given points are (0,-5) and (2,3). Plug those into the equation.
[tex]\frac{3-(-5)}{2-0}[/tex]
Two negatives make a positive
[tex]= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4[/tex]
Therefore, the slope of the line is 4. Plug 4 into the original equation as [tex]m[/tex].
[tex]y=4x+b[/tex]
Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as [tex]b[/tex].
[tex]y=4x+(-5)\\y=4x-5[/tex]
I hope this helps!
Х?
When a side of the triangle is 55°
Answer:
70
Step-by-step explanation:
180 - 55 -55 = 70
Pls help me I will give brainliest
Answer:
Step-by-step explanation:
a^8/c
Answer:
a8
b
10
/c
a^8/c
Step-by-step explanation:
Can I pls get the Brainlist
50 points! I need help fast! Random answers will be reported! I will mark brainliest to the correct answer :)
Answer:
1) yes, SAS
2) No, there is no SSA theorem
Step-by-step explanation:
1) PR is shared between the two triangles so you know by Side-Angle-Side
explain how to solve the equation 7s=28
Joey pays $35.85 each month for his new stereo what does he pay each year
Answer:
$430.20
Step-by-step explanation:
35.85 x 12= 430.20
what is an equivalent expression to 2x+10x
Answer:
=12x
Step-by-step explanation:
A billiard ball bounces off the sides of a rectangular billiards table in such a way that 1= 23,
24 = 26, and Z3 and 24 are complementary. If m_1 = 27°, find the measure of all the other angles.
1
3
2
m/2 = =
4
m23 =
5
6
m24 =
m25 =
m26 =
30 is 60% of
due today
Answer:
30 is 60% of 50.
Step-by-step explanation:
30 ÷ 60% = 50
hey i need help pls be honest. WILL GIVE BRAINLIEST!!!!!!!!
Mike read 18 books. This was 4 fewer than twice the number that Jeff
read. How many books did Jeff read?
Answer:
i think 13
Step-by-step explanation:
The sum of eight and twice a number is 42
Answer:
8 + 2n = 42
Step-by-step explanation:
the sum of eight: ___+ 8
and twice(2) a number(could be any variable but for now i choose n): 2n + 8
is 42 (literally mean it equals 42): 2n + 8 = 42
Please answer all these questions for me for day 4.
The Question is in the attachment below
Answer:
Step-by-step explanation:
It is J I’m pretty sure
Find three consecutive integers such that that product of the first and third is one
less than 22 times the second integer.
Answer:
n = the first
n + 1 = the 2nd
n + 2 = the 3rd
n(n + 2) - (n + 1) = 10(n + 2) + 1
n2 + 2n - n - 1 = 10n + 20 + 1
n2 - 9n - 22 = 0
(n - 11)(n + 2) = 0
If two factors = 0, at least one must = 0.
n - 11 = 0
n = 11
11,12,13
n + 2 = 0
n = -2
-2,-1,0
Here are some fractions.
10/15
4/6
12/18
10/16
16/24
One of these fractions is NOT equivalent to
2/3
a) Which fraction?
b) Work out 1/8 + 3/4
Give your answer in its simplest form.
Answer:
10/16 is not equivalent to ⅔.
⅛+¾=⅞
Step-by-step explanation:
To simplify to simplest form find the GCF for both and divide on each side.
[tex] \frac{10}{15} = \frac{2}{3} [/tex]
the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.
[tex] \frac{4}{6} = \frac{2}{3} [/tex]
When you divide the numerator and denominator by 2 (GCF) it would be ⅔.
[tex] \frac{12}{18} = \frac{2}{3} [/tex]
when you divide both the numerator and denominator by 6 (GCF) you get ⅔.
[tex] \frac{10}{16} = \frac{5}{8} [/tex]
when you divide the numerator and denominator by 2 (gcf) you get ⅝.
therefore, 10/16 is not equivalent.
[tex] \frac{1}{8} + \frac{3}{4} = [/tex]
Find the LCM
Least Common Multiple is 16.
8: 8, 16
4: 4, 8, 12, 16
[tex] \frac{2}{16} + \frac{12}{16} [/tex]
for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16
[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]
you can simplify by dividinv both sides by 2 to get 7/8.
Angle x measures 42•. Find measure of angle y.
Answer:
C
Step-by-step explanation:
A helicopter is planning a route in a straight line from the top of Mount Whitney to Death Valley. (These two locations are in California and are the highest and lowest points respectively in the continental United States. They are only about 85 miles apart.) The helicopter will start at the top of Mount Whitney at an elevation of 14,505 feet and fly to the Badwater Basin (282 feet BELOW sea level). During its flight, the helicopter descends at a rate of 493 feet per minute, and the trip will take about 30 minutes.
Write an equation that relates the helicopter's elevation (E) to the travel time (t).
Question 3 options:
E=−493t+14787
t=14505−493E
E=14505−493t
E=282+14505t
The linear function that relates the helicopter's elevation (E) to the travel time (t) is:
E = −493t+14787What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
The helicopter descends at a rate of 493 feet per minute, hence [tex]m = -493[/tex].It flies from an elevation of 14,505 feet to an elevation of 282 feet BELOW sea level, hence the distance it travels in feet is [tex]b = 14505 + 282 = 14787[/tex]Hence, the model is:
E=−493t+14787You can learn more about linear functions at https://brainly.com/question/13967935
Answer:
E=−493t+14787
Step-by-step explanation:
just got it right on the test
X-3y=15 and y=-3x+4 determine if the lines are parallel,perpendicular,or neither
Answer:
neither parallel or perpendicular.
Step-by-step explanation:
Answer:
3 x + y = 16
Step-by-step explanation:
I NEED HELP!! (100 POINTS)
Kian wants to solve the equation 2x = -2x + 4. How could he use graphs to solve this equation?
Drag statements into order to complete an explanation.
Answer:
x = 1Step-by-step explanation:
Given equation
2^x = -2x + 4
To solve graphically, following steps required
1. Graph the function
y = 2^x2. Graph the function
y = -2x + 43. Identify any intersection of the lines
4. Take the x-coordinates of the intersection points and record as solution
See attached, the answer and the solution of the given equation
The solution is
x = 1Answer:
Graph the curve that models 2^x.
Graph the line that models -2x+4.
Identify all points of intersection of the two graphs.
Solutions to the equation are the x-coordinates of points of intersection.
What is the domain of the function V(x)+1.
Answer:
3th one
Step-by-step explanation:
Answer:
i am not completely sure, im a bit rusty on this, but if im correct the answer is Option 1. I hope you get it right :)
Step-by-step explanation:
2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible
Answer:
479,001,600 different designs are possible
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
[tex]A_{x} = x![/tex]
In this question:
12 elements. So
[tex]A_{12} = 12! = 479001600[/tex]
479,001,600 different designs are possible
10) La diferencia entre 17 y 1.234 es :
Answer:
15.766
Step-by-step explanation:
17 menos 1.234 es 15
Help me please if you can
Answer:
<D=<J
Step-by-step explanation:
The first answer is the only correct statement. In geometry, congruent angles are shown through the number of arcs on the vertex of an angle. For example, if two different angles both had three arcs on the vertex, then those two angles are congruent. In this figure, both <D and <J have 4 arcs, which means they are congruent. Additionally, both angles are opposite of a line that measures 25 inches. If two angles are opposite of congruent lines, then the angles are also congruent.
Find the sum to 40 terms of the arithmetic sequence below. Please show your
work.
14+23+32
Answer:
7580
Step-by-step explanation:
The formula for the sum of an arithmatic sequence is
[tex]\frac{n}{2} (a_{1} + a_{n})[/tex],
where n = total number of terms (in this case 40)
[tex]a_{1}[/tex]= the first term (in this case 14)
and [tex]a_{2}[/tex] = the last term (we will need to find this)
to find the last term, we can use this formula:
[tex]a_{n} = a_{1} + (n-1)d[/tex]
where d is the difference between each term (in this case 9, because 23 - 14 = 9, and 32 - 23 = 9)
thus, [tex]a_{n}[/tex] = 14 + (40 - 1)9 = 14 + 39*9 = 14 + 351 = 365
plug this back into the first formula to get
Σ = [tex]\frac{40}{2}[/tex] (14 + 365) = 20(379) = 7580
Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
Find the values of x and y.
Answer:
x = 67
y = 169
Step-by-step explanation:
We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.
Solve for x:
x-1 = 66
x = 67
Now solve for y:
(67-1) + 52 + (y-7) = 180
y = 169
Need help please only searious answers.
Answer:
answer 3
Step-by-step explanation:
Hope this helps you out