Answer:
Given below
Range: 9
Mean: 16
Hope it helps:)
Step-by-step explanation:
The data is given in the question
Range-
All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:
Range = Maximum Value–Minimum Value
= 21- 12
= 9
Mean-
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:
Sum of term/ number of terms = mean
= 17+21+14+17+12+15+16/7
= 112/7
= 16
The range and the mean of the given data are 9 and 16 respectively.
What is range?The range is the difference between the smallest and highest numbers in a list or set.
Given that, a data 17, 21, 14, 17, 12, 15, 16,
a) Range = The difference between the lowest and highest values
= 21-12
= 9
b) Mean = (sum of all data)/(number of data)
= (17+ 21+ 14+ 17+ 12+ 15+ 16)/7
= 112/7
= 16
Hence, The range and the mean of the given data are 9 and 16 respectively.
For more references on range, click;
https://brainly.com/question/28135761
#SPJ5
What is the slope of the line shown below?
A. - 1/2
B. 1
C. -1
D. 1/2
Answer:
C. -1
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,7) and (3,5).
[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]
The slope is -1, and therefore, Option C should be the correct answer.
For each set of probabilities, determine whether the events A and B are independent or dependent.
Answer:
[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Apply the correct formula to check whether two events are independent or not
If the events A and B are independent, then:
P(A) x P(B) = P(A⋂B)
The formula of conditional probability:
P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)
Step 2: Perform the calculation
a)
P(A) x P(B) = (1/6) x (1/4) = 1/24
P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
b)
P(A) x P(B) = (1/2) x (1/4) = 1/8
P(A⋂B) = 1/8
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
c)
P(A) x P(B) = (1/2) x (1/6) = 1/12
P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
d)
P(A) x P(B) = (1/3) x (1/6) = 1/18
P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
Hope this helps!
:)
a.
If f(x) = 25 - xand g(x) = 5 - , which is the rule of function (8 + 9)(x)?
-x2 + x+ 20
5 + x
x? - 5x2 - 25x + 125
--X2 - x + 30
b.
C.
d.
Please select the best answer from the choices provided
Answer:
The answer is D.
Step-by-step explanation:
You have to add both functions together :
[tex]f(x) = 25 - {x}^{2} [/tex]
[tex]g(x) = 5 - x[/tex]
[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]
[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]
[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]
PLEASE HELP ME PLEASE AND THANK U
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George have in his account in five years
Answer:
$1475.40
Step-by-step explanation:
Since the interest is two times per year for 5 years, do this 10 times:
1) 750*0.07=52.5
750+52.5=802.5
2) 802.5*0.07=56.18
802.5+56.18=858.69
3) 858.69*0.07=60.11
858.69+60.11=918.79
4) 918.79*0.07=64.32
918.79+64.32=983.11
5) 983.11*0.07=68.82
983.11+68.82=1051.93
6) 1051.93*0.07=73.64
1051.93+73.64=1125.57
7) 1125.57*0.07=78.79
1125.57+78.79=1204.36
8) 1204.36*0.07=84.31
1204.36+84.31=1288.67
9) 1288.67*0.07=90.21
1288.67+90.21=1378.88
10) 1378.88*0.07=96.52
1378.88+96.52=1475.40
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm
Answer:
Correct option: First one -> 16 mm
Step-by-step explanation:
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have:
[tex]Perimeter = 3*side[/tex]
[tex]3*side = 96[/tex]
[tex]side = 32 mm[/tex]
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:
[tex]height = \frac{side * \sqrt{3}}{2}[/tex]
[tex]height = 16\sqrt{3}[/tex]
Using the Pythagoras' theorem in the triangle ACM, we have:
[tex]side^2 = MC^2 + height^2[/tex]
[tex]1024 = MC^2 + 768[/tex]
[tex]MC^2 = 256[/tex]
[tex]MC = 16\ mm[/tex]
Correct option: First one
Answer:
(A) 16mm
Step-by-step explanation:
David wants to find the solutions of this system of equations: –4x – 7 = y x2 – 2x – 6 = y Which statement is true? Plz its urgent!!
Answer:
(-1, -3)
Step-by-step explanation:
The given equations are:
[tex]-4x-7=y ...... (1)[/tex]
and
[tex]x^2 - 2x - 6 = y ....... (2)[/tex]
Equating (1) and (2):
[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]
The two values of x are repeating in nature i.e. x = -1
So, value of [tex]x[/tex] is -1.
Putting value of [tex]x[/tex] in equation (1):
[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]
The solution is represented as ([tex]x,y[/tex])
So, the solutions are :
(-1, -3)
Answer:
2
Step-by-step explanation:
give brainliest
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm
Answer:
a
Step-by-step explanation:
r = 2.5 cm
V= 3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]
Answer:
a
Step-by-step explanation:
Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.
Answer:
The area is twice the circumference
Area = 2 * circumference
Step-by-step explanation:
Proof:
r = 2
Circumference = 2[tex]\pi[/tex]r
Circumference = 12.566
Area = [tex]\pi[/tex]r^2
Area = 25.132
25.132/12.566 ≈ 2
Answer:
the (area) is (1/2) times the (radius) times the circumference.
Step-by-step explanation:
i dont know how to explain it exactly but i found the cerect answer.
G(x)=-2x-9 what is g(-7)
Answer:
g(-7)=5
Step-by-step explanation:
-2(-7)-9
14-9=5
Answer:
5
Step-by-step explanation:
G(x)=-2x-9
Let x = -7
g(-7) = -2(-7) -9
= 14 - 9
= 5
Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommendation, what is the minimum amount of calories from protein an adult should consume from an 1,800 calorie diet?
Answer:
360-540 calories
What is the measure of c?
1489
42°
С
90°
422
489
O 42°
O 48°
O 90°
0 180°
Please help me with this question
Convert y = 8x^2-80x-32 to vertex form by completing the square.
Answer:
y = 8(x-5)^2 -232
Step-by-step explanation:
Factor out the 8 to get
y = 8(x^2-10x-4)
y = 8(x-5)^2 -232
Answer:
y = 8 (x - 5)^2 - 232
Step-by-step explanation:
Dividing the whole equation by 8, we get:
y = 8 (x^2 - 10x - 4)
y = 8 (x - 5)^2 - 232
Hope this helps!
The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.
True
False
Answer:
False
Step-by-step explanation:
When triangles are similar, their sides are proportional, not congruent.
I hope this helps :))
A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 yards, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 10 yards from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis should he build out his whisper chamber?
53.9 yd
45.8 yd
26.9 yd
22.9 yd
Answer:
22.9 yards
Step-by-step explanation:
Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.
So, b = ±√(a² - c²)
= ±√(25² - 10²)
= ±√(625 - 100)
= ±√525
= ±22.91 yards
≅ ± 22.9 yards
Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.
z=5 is a solution choose 3 answers
A
8=z+3
B
z-1=6z
C
20=40÷z
D
12z=60
E
12+z=60
Answer:1. (a) 8=z-3 ---> z=5
2.(d) 12z=60----> z=5
3.(e) 12+z=17 ----> z= 5
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
A. 8 = z + 3 → subtract 3 from both sides:
5 = z
-------------------------------------------------------------------
B. z - 1 = 6z → subtract z from both sides:
-1 = 5z → divide both sides by 5:
-0.2 = z
--------------------------------------------------------------------
C. 20 = 40 ÷ z → multiply both sides by z:
20z = 40 → divide both sides by 20:
z = 2
--------------------------------------------------------------------
D. 12z = 60 → divide both sides by 12:
z = 5
---------------------------------------------------------------------
E. 12 + z = 60 → subtract 12 from both sides:
z = 48
For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.
If a total of N1294 was
collected, calculate the value
of x *
Answer:
142
Step-by-step explanation:
5*(x+60)+2*x=1294
5x+5*60+2x=1294
7x+300=1294
-300 -300
7x=994
x=994:7
x=142
142
Step-by-step explanation:
5(60+x) +2(x) = 1294
300+5x+2x= 1294
7x= 994
X= 142
Can some one help me plz trying to figure out? Need help ASAP
Answer:
[tex] a. = -35 \\ b. = 9a + 1 \\ c. = -35 [/tex]
Step-by-step explanation:
[tex]a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35[/tex]
Which graph shows line symmetry about the y-axis?
Answer:
1st one does
Step-by-step explanation:
There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
When a graph is symmetry about the y-axis?A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.
The graph which is symmetry about y-axis is attached below.
In the given image,
The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
Learn more about the symmetry of graph here;
https://brainly.com/question/5960559
#SPJ2
please can you guy help for this questiong
please
Answer:
Step-by-step explanation:
From the figure attached,
Given: ∠P ≅ ∠S
TQ ≅ RQ
To Prove : ΔQRS ≅ ΔQTP
Statements Reasons
1). ∠P ≅ ∠S, TQ ≅ RQ Given
2). ∠RQS ≅ ∠TQP Reflexive property
3). ΔQRS ≅ ΔQTP AAS
What must be added each term to a ratio2:3 so that it may became 4:7
Step-by-step explanation:
HOPE THE ANSWER IS CORRECT AND USEFUL
HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT
Answer:
x = 3
Step-by-step explanation:
The triangles are similar, using ratios
x 8
------ = -----------
18 48
We can use cross products to solve
48x = 8*18
48x = 144
Divide each side by 48
48x/48 = 144/48
x =3
What is the product of 7/9 and 1/4
Answer:
7/36
Step-by-step explanation:
7/9* 1/4
Multiply the numerator
7*1 = 7
9*4 = 36
Put the numerator over the denominator
7/36
Answer:
Brunliest plzStep-by-step explanation:
7/9 x 1/4 = 7/36
is the function in the graph non-linear?
4
3
-32
2
5
O Yes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.
No, because it does not have a constant rate of change.
Answer:
B. Yes, because it does not have a constant rate of change.
Step-by-step explanation:
For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.
x + 2 4/5 = 3 1/6
someone please help me i don’t get the problem
-11/10
Step-by-step explanation:
so first get the x on one side of the equal sign and the numbers on the other.
x+2 4/5 = 3 1/6
- 2 4/5 - 2 4/5
x= -11/10
Find t12 term in an arithmetic progression having t3 = 10 and t10 = −4 .
Answer:
t12= -8
Step-by-step explanation:
t3
a+2d=10 (1)
t10
a+9d=-4. (2)
From (1)
a=10-2d. (3)
Sub into (3) into equ (2)
a+9d=-4
10-2d+9d=-4
10+7d=-4
7d=-4-10
7d=-14
Divide both sides by 7
d=-14/7
d= -2
10=a+2d
10=a+2(-2)
10=a-4
10+4=a
14=a
a=14
t12=a+11d
= 14+11(-2)
=14-22
= -8
t12= -8
Find the value of x.
Please help
Answer:
x=5
Step-by-step explanation:
7/5=(2x-3)/x
5(2x-3)=7x
3x=15, x=5
the graph below describes the journey of a train between two cities
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
Answer:
200km/h^2, 125km, 62.5km/h
Step-by-step explanation:
For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.
Would somebody help with this?
Answer:
Both A and D
Step-by-step explanation:
Not absolutely 100%, but I think it's the answer.
Stetson rents
studio space for
$600 a month for
music lessons. He
charges his
students $40 per
hour and earned a
profit of $2400
this month.
is it (600+40)x=2400
or
40x-600=2400
Answer:
It will be the first option.
Step-by-step explanation:
Why? because you are trying to get the total amount so you need to cancel everything and have the final answer.
and it will be like this:
(600+40)x=2400
x=2400÷ 640
x=3.75
and if you round it; x=4