Answer:
15
Step-by-step explanation:
Expected value =prob(age)
(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38
round off to get 15
The expected value for the age of a randomly chosen student is 15.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
Total number of students, n = 1500,
Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Calculate the expected value as shown below,
[tex]E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6[/tex]
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38 ≈ 15
Therefore, the expected value for the age of a randomly chosen student is 15.
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Find the value of two numbers if their sum is 25 and their difference is 1.
Answer:
12 and 13
Step-by-step explanation:
12+13= 25
13-12= 1
4. Determine the magnitude and direction of the vector v = <5, -6>.
f. 11, NE
g. 61, SE
h. 111, NE
j. V61, SE
Answer:
The magnitude of vector is:
[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]
v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6> is heading towards SE.
Thus, option ( j ) is correct.
i.e. [tex]\sqrt{61},\:SE[/tex]
Step-by-step explanation:
Given the vector
v = <5, -6>
Determining the magnitude of the vector
To find a magnitude of a vector v = (a, b) we use the formula
[tex]||v||\:=\:\sqrt{a^2+b^2}[/tex]
Magnitude of the vector is basically termed as the length of the vector, which is denoted by
[tex]|\left(5,\:-6\right)|=\sqrt{\left(5\right)^2+\left(-6\right)^2}[/tex]
[tex]=\sqrt{5^2+6^2}[/tex]
[tex]=\sqrt{25+36}[/tex]
[tex]=\sqrt{61}[/tex]
Thus, the magnitude of vector is:
[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]
As the vector v = <5, -6> lies in 4th quadrant.
v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6> is heading towards SE.
Thus, option ( j ) is correct.
i.e. [tex]\sqrt{61},\:SE[/tex]
The reciprocal pronouns each other and one another are used when two or more subjects in a sentence are also
Answer:
Objects
Step-by-step explanation:
Normally, we make use of reciprocal pronouns in cases where each of two or more subjects are acting in the same manner towards one another. For example, X is talking to Y, and Y is talking to Z.
Thus, the subjects in question must be the same objects for them to be able to relate in the same way.
Answer:objects
Step-by-step explanation:
What is 60% of 64, please idk know this lol
Answer:
That would be 38.4.
The students in Mr.murthy´s class are participating in the recycling project. After 2 days, the class collected 20 plastic bottles. They collected the same number of bottles each day.
How many bottles did Mr.Murthy´s class collect in 5 days?
Answer:
50
Step-by-step explanation:
20/2=10
so this means 10 bottles per day
so there is 5 days
5 x 10 = 50
:)
Answer:
The answer to the missing spot in the ratio is the number 50.
Step-by-step explanation:
10x5= 50
hope this helps :)
Help me with this pleaseeeeeeeeeeeee
Answer:
36
Step-by-step explanation:
USE PYTHOGORAS THEOREM
A²=C²-B²
C²=3600
B²=2304
3600-2304=1296
√1296=36
hope it helps
Have a nice Day , I would appreciate it if you could mark my answer brainliest
(8,72);y=x divided by 9
Answer:
6800
Step-by-step explanation:
what's the equation of the line shown above?
A.y=-2/3X-4
B.y=-2/3X-6
C.y=-3/2X-6
D.y=-3/2x-4
There are 690 students in a school. 120 students are in the 8th Grade and 135 students are in the 7th Grade. What % of the students are in the rest of the classes?
Answer:7th
Step-by-step explanation:
Can someone help me do this please and thank you
Answer: number 3 is the correct answer
2 1/5
Step-by-step explanation:
Answer:
number 3 is correct I hope this helps
a
29
Solve each percent equation. Remember "of" means multiply and "is" means equal.
At your school, 74% of students bought their lunch at the cafeteria. There are
1250 students in the school. How many students bought their lunch?
925
students who brought their lunch. YUM!!
Answer
925 students brought their lunch.
Explanation
First let's rewrite the equation.
You know that "of" means multiply and "is" means equal.
Okay, so let's break it down.
The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."
This means that 74% of 1250 students brought their lunch at the cafeteria.
You are trying to find how many students brought their lunch. This will be x.
So the equation would be this.
74% × 1250 = x
74% is 0.74.
0.74 × 1250 = x
0.74 × 1250 = 925
So 925 students brought their lunch.
HELPPPPPP FASTTTTT PLZZZZZZZZZZZZZZZZZZZZ
Gia researches online that her car is worth $3,000. She hopes to sell it for 85% of that value, but she wants to get at least 70%. She ends up selling it for $1,800. Did she get what she wanted? (Give both equations and solutions. Then answer the question of did she get what she wanted)
Answer:
she did not get at least 2100 and definitely not 85% of the worth
Step-by-step explanation:
3000*0.85=2550
3000*0.7=2100
Answer:
Gia hoped to sell it for $2,550, but wanted at least $2,100. Because it sold for $1,800, she did not get what she hoped and/or wanted.
Step-by-step explanation:
85% of $3,000 can be solved by moving the decimal two places to the left and multiplying: 85.0% becomes 0.85. So, we multiply 0.85x3,000=$2,550.
We do the same thing to figure out 70% of $3,000. Again, solving it by moving the decimal two places to the left and multiplying: 70.0% becomes 0.70. So, we multiply 0.70x3,000=$2,100.
Which is the completely factored form of 4x + 1Ox-6x?
2(x+3)(2x-1)
2x(x + 3)(2x- 1)
2x(x -3)(2x- 1)
2(x-3)(2x + 1)
Answer:
2(x+3)(2x-1)
Step-by-step explanation:
A box-and-whisker plot. The number line goes from 0 to 9. The whiskers range from 0 to 7, indicated by A and E. The box ranges from 2 to 6, indicated by B and D. The line divides the box at 4, indicated by C.
Identify the location of the values used to create a box plot.
A =
✔ minimum value
B =
✔ lower quartile
C =
✔ median
D =
✔ upper quartile
E =
✔ maximum value
minimum value: 1
lower quartile: 3
median of the data: 6
upper quartile: 8
maximum value: 14
Sorry for the late answer, i hope this will help you in the future and everyone else who reads this.
Darell buys a model railroad set online for $224.62. If shipping and handling are an additional 16% of the price, how much shipping and handling will Darell pay? Round your answer to the nearest cent: $
Ronnie records the number of chirps per minute (x) that crickets make at different temperatures(Y ) in degree Fahrenheit. he determines that the association is linear and that the line of best fit is Y=1/6x+60.what is the interpretation of the slope and y intercept of this question?
Answer:
Step-by-step explanation:
Given
[tex]y = \frac{1}{6}x + 60[/tex]
Required
Interpret the slope and y intercept
The general form of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m=slope[/tex]
[tex]b = y\ intercept[/tex]
By comparison
[tex]m = \frac{1}{6}[/tex]
[tex]b = 60[/tex]
Interpretation:
Slope represents rate and y intercept represents the number of chirps at time 0.
So, the interpretations are:
Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute
y intercept: The initial number of chirps is 60
the length of 2 wires are in the ratio 5:14 .if the 2 wires are joined together ,what is the ratio of the length of each piece of wire to the total length ?
Answer:5:19 and 14:19
Step-by-step explanation:
If wire 1 is 5 units long and wire 2 is 14 units long, when joined together they will be a total of 19 units long.
BbbbbbbbbbbbbGhjhhh12
Solve the system of equations using the elimination method.
(8x +11y = 37
8x+y=7
Answer:
8x +11y = 37 ---------(1)
_8x±y=_7 ----------(2)
-------------------
o+10y=30
Y=3
PUT Y IN EQ 2
8X+3=7
8X=7-3=4
X=1/2
Ans
I hope this Ans is helpful for you
Step-by-step explanation:
52/20-5/20 what is the answer to this math question?
Answer:
that answer is 47/20
Step-by-step explanation:
52-5=47
20-20=20
52/20-5/20=47/20
Answer:
50/20-5÷20=2.35
Step-by-step explanation:
I used a calculator i hope it helps : )
Amy walks 2 miles 60° north of east from her house as represented in the vector diagram.
On a coordinate plane, a vector has angle 60 degrees and length 2 miles.
If Amy’s house is represented as the coordinate (0, 0), what is the component form of the vector representing Amy’s destination rounded to the nearest hundredth?
⟨0.50, 0.87⟩
⟨0.87, 0.50⟩
⟨1.00, 1.73⟩
⟨1.73, 1.00⟩
Answer:
C
Step-by-step explanation:
edge 2021
The required coordinates of Amy's position are (1.00, 1.73).
Amys walk 2 miles 60° northeast from her house. Vector coordinates to be determined.
Coordinate is defined as the abscissa and ordinate of the x-axis and y-axis respectively.
Amy walk 2 miles on 60° northeast, from origin.
x coordinate = 2cos60
= 2 * 1/2
= 1
y coordinate = 2sin60
= 2*√3/2
= 1.73
Thus, the required coordinates of Amy's position are (1.00, 1.73).
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Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken
line?
Is the point (0,0) part of the solution of y<-x2 +4x+5
Step-by-step explanation:
When the inequality uses < or >, it is a broken line.
For the point (0, 0) it means that x = 0 and y = 0.
Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.
Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To determine the border line of the graph of y < - x² + 4x + 5
A broken line results from the inequality using < or >.
x and y are both equal to zero at the coordinates (0, 0).
Substitute the values of x = 0 nad y = 0 in the inequality y < - x² + 4x + 5
So, (0) < (0)² + 4(0) + 5
Since (0) < (0)² + 4(0) + 5 is valid,
Thus, the coordinates (0, 0) are part of the solution.
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A student borrows a total of $5400 in student loan from two lenders. Bank One charges 4.3% simple
interest and Bank Two charges 5.9% simple interest. She is not required to pay off the principal for 3
years. However, at the end of three years, she will owe a total of $888.60 for interest from both loans.
How much did she borrow from Bank One?
non
9514 1404 393
Answer:
$1400
Step-by-step explanation:
Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.
Then the total interest over 3 years is ...
3(4.3%·x +5.9%(5400 -x)) = 888.60
-1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify
-1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60
x = 22.40/0.016 = 1400
The student borrowed $1400 from Bank 1.
X + 7/8 = 23/8
Please help
Answer:
x=2
Hope I helped
Answer:
X=2
Step-by-step explanation:
Please mark brainliest.
what numbers are the arrows pointing to
C
60 and 65
write the word sentence as an ineguality.
1. A number W is greater than -3.
2. A number y minus 1/2 is no more than -3/2.
Answer:
w > -3
y - 1/2 ≤ -3/2
Which is the answer?
write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,1), B(2,2), C(4,1) and d(2,-1). Use a scale factor of 2
Answer:
The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].
Step-by-step explanation:
From Linear Algebra, we define dilation by the following equation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation, dimensionless.
[tex]P(x,y)[/tex] - Original point, dimensionless.
[tex]k[/tex] - Scale factor, dimensionless.
[tex]P'(x,y)[/tex] - Dilated point, dimensionless.
If we know that [tex]O(x,y) = (0, 0)[/tex], [tex]k = 2[/tex], [tex]A(x,y) = (1,1)[/tex], [tex]B(x,y) = (2,2)[/tex], [tex]C(x,y) = (4,1)[/tex] and [tex]D(x,y) = (2,-1)[/tex], then the dilated points are, respectively:
Point A
[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)
[tex]A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)][/tex]
[tex]A'(x,y) = (2,2)[/tex]
Point B
[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)
[tex]B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)][/tex]
[tex]B'(x,y) = (4,4)[/tex]
Point C
[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex]
[tex]C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)][/tex]
[tex]C'(x,y) = (8,2)[/tex]
Point D
[tex]D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)][/tex]
[tex]D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)][/tex]
[tex]D'(x,y) = (4,-2)[/tex]
The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].
please help for algebra :(
Can someone please help???
Proof (reasons are given in brackets):
Consider [tex]\triangle ABC[/tex], [tex]\triangle EDC[/tex]:
[tex]\overline B \overline C = \overline D \overline C[/tex] (given)
[tex]\angle BCA = \angle DCE[/tex] (vertically opposite angles are equal)
[tex]\overline A \overline C = \overline E \overline C[/tex] (given)
[tex]\therefore \triangle ABC \cong \triangle EDC[/tex] (SAS)
Hope this helps :)