Answers
Answer: B. 8 x 10^3
Step-by-step explanation:
b. 8 x 10³
hope this helps
Related Questions
Please help me its 10 points!! I linked a photo too. I
Answers
In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.
Answers
Step-by-step explanation:
we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem
the length of the side opposite the 30 angle is 17/2
talking about exercise on the photo the answer is
8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.
Now lets use pythagorean theorem
x^2+y^2=z^2
z is hypotenuse
8^2+y^2=16^2
64+y^2=256
y^2=256-64
y^2=192
y=8√3
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
a. Does Y have a binomial or hypergeometric distribution? Why?
b. Find the probability that two or more internship trained candidated are hired.
c. Find the standard deviation and mean of Y.
Answers
Answer:
A) Hypergeometric
B) P( X ≥ 2) = 0.7143
C) Standard deviation: σ = 0.7087
Mean = 1.875
Step-by-step explanation:
A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.
B) We are told total candidates were 8.
Thus; N = 8
3 were for local teaching positions, thus; n = 3
5 were for paid internship, thus; r = 5
Now, the formula for Hypergeometric distribution is;
P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)
Where C represents combination.
Thus, probability that two or more candidates were hired is;
P( X ≥ 2) = P(2) + P(3)
Now, N - r = 8 - 5 = 3
For P(2); n - y = 3 - 2 = 1
For P(3); n - y = 3 - 3 = 0
Thus;
P(2) = {(5C2) × (3C1}/(8C3)
P(2) = 30/56
P(2) = 0.5357
P(3) = {(5C3) × (3C0}/(8C3)
P(3) = 10/56
P(3) = 0.1786
Thus;
P( X ≥ 2) = 0.5357 + 0.1786
P( X ≥ 2) = 0.7143
C) Formula for standard deviation in Hypergeometric distribution is;
σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]
nr/N = (3 × 5/8) = 15/8
((N - r)/N) = (8 - 5)/8 = 3/8
((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7
σ = √((15/8) × (3/8) × (5/7))
σ =√0.5022
σ = 0.7087
Formula for mean in Hypergeometric distribution is;
E(Y) = nr/N = 3 × 5/8 = 1.875
Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.
Answers
Answer:
[tex]x_1 = 1[/tex]
[tex]x_2=0[/tex]
Step-by-step explanation:
The question is incomplete as the method is not given.
However, the question can still be solved.
Given
[tex]x_1 - x_2 = 1[/tex]
[tex]3x_1 + x_2 = 3[/tex]
Make xi the subject in the first equation
[tex]x_1 = 1 + x_2[/tex]
Substitute 1 + x2 for xi in the second equation
[tex]3(1+x_2)+x_2 = 3[/tex]
Open bracket
[tex]3+3x_2+x_2=3[/tex]
[tex]3+4x_2=3[/tex]
Collect Like Terms
[tex]4x_2 = 3-3[/tex]
[tex]4x_2 =0[/tex]
Solve for x2
[tex]x_2=0/4[/tex]
[tex]x_2=0[/tex]
Recall that:
[tex]x_1 = 1 + x_2[/tex]
[tex]x_1 = 1+0[/tex]
[tex]x_1 = 1[/tex]
which of the following is figure are complementary
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1/3 is equivalent to what percent
Answers
Answer: 33.33%
Step-by-step explanation:
Answer:
33.3333...%
Step-by-step explanation:
33 x 3 = 99.9999...
Help me! What is the value of x in the matrix equation below?
Answers
Answer:
A. -3
Step-by-step explanation:
edge test
The value of x in the matrix equation comes to be 1.
What is a matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.
The given matrix equation is:
[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:
[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
On comparing both matrices
-2x+3 = x
3x=3
x=1
Hence, the value of x in the matrix equation comes to be 1.
To get more about matrices visit:
https://brainly.com/question/1821869
Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor. How much more per hour does Maddy’s neighbor pay than her aunt?
A. $1.00/hr
B. $1.50/hr
C. $2.00/hr
D. $2.50/hr
Answers
Hope this helps!!!!!
Answer: B.1.50
Step-by-step explanation:
22.50 divided by 5 = 4.5
21.00 divided by 3.5 = 6.0
6 - 4.5 = 1.50
This will tell us the differences in
how much money they made.
i need an answer help !
Answers
what is the area in hectares of a triangular field whose base is 1310 m and height is 800 m
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I need help. Is this right????
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Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
0 = 0
1 = 2
2 = 4
3 = 6
20 = 40
What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?
Question 8 options:
A)
Vertex = (2,25), y-intercept = (0,21), x-intercepts = (7,0) and (–3,0), axis of symmetry is x = 2
B)
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = 2
C)
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
D)
Vertex = (–2,25), y-intercept = (0,21), x-intercepts = (7,0) and (3,0), axis of symmetry is x = –2
Answers
Answer:
Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
We are given the function;
f(x) = (x - 3)(x + 7)
The axis of symmetry in a quadratic equation is given by the formula;
x = -b/2a
Expanding the function given, we have;
f(x) = x² + 4x - 21
a = 1
b = 4
c = - 21
Thus;
Axis of symmetry is:
x = -(4)/(2 × 1)
x = -2
Now, y-intercept is when x = 0
Thus;
f(0) = (0 - 3)(0 + 7)
f(0) = - 3 × 7 = - 21
y - intercept is (0, - 21)
x-intercept is when f(x) = 0
Thus;
(x - 3)(x + 7) = 0
Thus;
x - 3 = 0 or x + 7 = 0
x = 3 or x = - 7
x - intercept is (-7, 0) and (3,0)
The y-coordinate of vertex will be at the line of axis of symmetry.
Thus, we will put x = -2 into the function to get;
y = (-2 - 3)(-2 + 7)
y = -5 × 5 = - 25
Vertex is at (-2, -25)
Correct Answer is option C
Answer:
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah
Answers
ronnie: 10 songs
paul: 8 songs
Answer:
Sarah: 4 songs
Ronnie: 10 songs
Paul: 8 songs
Step-by-step explanation:
What is an equation of the line that passes through the points (-3,-5) and
(-3,-8)?
Answers
Answer:
x = -3
Step-by-step explanation:
The line just passes through x = -3 so, it's parallel to the Y-vector.
If you can explain please do.
I will give brainliest
Answers
We know that:
h(x) = 2x - 1
g(x) = 3x + 1
We are trying to find h(x) / g(x)
(h/g) (x) = (2x - 1) / (3x + 1)
This is simplest form.
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reason why JKL and MNO?
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Answer: I hope this helps
You can use LL, HL and SAS theorems to prove that triangles are congruent.
The right triangle leg leg congruence Theorem (LL) is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.
The hypotenuse leg Theorem (HL) states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The side angle side Postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Answer: correct choices are B, C and E
b.LL
c. HL
e.SAS
Answer:
LL, SAS and, HL
Step-by-step explanation:
The center of an ice rink is located at (0, 0) on a coordinate system measured in meters. Susan is skating along a path that can be modeled by the equation y = 6x – x2 – 5. Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9). If the rink is a circle with a radius of 35 meters, which statement best interprets the solution(s) of a system of equations modeling the paths of the skaters?
A. The skaters’ paths intersect once, but that point is outside the rink.
B. The skaters’ paths intersect once, and that point is inside the rink.
C. The skaters’ paths intersect twice, but only one of those points is inside the rink.
D. The skaters’ paths intersect twice, and both points are inside the rink.
Answers
Answer:
Option C:The skaters path intersect twice, but only one of those points is inside the rink.
Step-by-step explanation:
Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m
We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²
Thus, the total area on which the skaters are skating will be given by the equation;
x² + y² = 35²
Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5
While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)
From equation of a parabola, the path along which like is skating can be modeled by;
(x - 8)² = 4a(y + 9)
To find a, we will substitute the coordinate started at to get;
(10 - 8)² = 4a(-21 + 9)
4 = 4a × -12
Divide both sides by 4 to get;
a = -1/12
Thus;
(x - 8)² = 4(-1/12)(y + 9)
(x - 8)² = (-1/3)(y + 9)
This gives: 3(x - 8)² = -(y + 9)
I've drawn the graph on demos and attached it.
From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.
Thus, correct answer is Option C.
Answer:
C
Step-by-step explanation:
just took the quiz
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. What is Herman’s final position, relative to ground level?
Answers
Answer:
Are there answers
Step-by-step explanation:
Answer:
answer
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...
-2/3 times 2 1/2 times (-3)
Answers
Answer:
Answer if 5
Step-by-step explanation:
-2/3 times 5/2 equals -5/3 times -3 equals5
Answer:
5.
for help with multiplying factions, take a look at this chart.
The equation of line g is y = -6/7x + 3 line h is parallel to line g what is the slope of line h
Answers
Answer:
It should be -6/7 because parallel lines have the same slope
HELP ME !I don’t know exactly how to do this
Answers
Answer:
x + 5
Step-by-step explanation:
Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5
I am so sorry if I am wrong!!
If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.
Answers
Answer:
3.78541 liters (sorry I'm horrible at rounding)
best estimate for 72% of 238?
Answers
Answer: Around 171, more specifically 171.36 if you need a exact number. You can also round it up if you need too.
Step-by-step explanation: 0.72 times 238 = 171.36
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answers
Answer: 12.50 or 12.5 same thing
Step-by-step explanation:
divide 4400 by 352 to get 12.5
don’t look at graph... can someone answer
Answers
Answer:
Pretty much, it's just 46 times 7. So, you can do 322 jumping jacks in 7 minutes.
Please mark me as Brainliest, I need it to move onto the next level. =D
Analysing the Question:
We are given the function:
f(x) = 46x
where x is the number of minutes and f(x) is the number of jumping jacks in the given number of minutes
Number of jumping jacks in 7 minutes:
replacing x with number of minutes (i.e, 7). We get:
f(7) = 46*7
f(7) = 322 jumping jacks
The equation of the line in the graph is y = ___ x + ___ .
I really need the help :) thx
Answers
Answer:
y= 1x-1 or y= x-1
Step-by-step explanation:
Make sure we know the equation y = mx +b
Remember M= slope, B= Y-intercept
We can see that the slope (rise over run) is 1 so we plug in the 1 for M
Y= 1x +b
Now we have to look for the Y-intercept which is -1
making our equation now: Y= 1x -1
Hope this helps!!
tia read 75 pages of a book containing 200 pages ,lia reads 2/5of the same book who reads less?
Answers
Answer:
5 pages less (Tia)
Step-by-step explanation:
2/5 of 200 =2 ×200 :5 =400 :5 =80 pages( Lia)
80-75 =5 pages (Tia red with 5 pages less)
What is the solution R-7=1?? Thank
Answers
Answer: R=8
Step-by-step explanation: R-7=1, R+7=1+7, R=8.
Could you answer this please a lot of points to you
Answers
Answer:
Step-by-step explanation:
13/16 dived by 5/6 = 9/40
7 dived by 1/6 = 42
2 1/5 dived by 1 1/3 = 1 13/20
2 1/7 dived by 3/28 = 20
See attachment the problem can be found in there
Answers
Answer:
[tex] \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} [/tex]
Step-by-step explanation:
[tex] \frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}[/tex]