slope:change in x\change in y
= Homework: Mo...
Ben bowled 122 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160?
HOM
Answer:
i think its 195 but i am not for sure correct me if i am wrong
Step-by-step explanation:
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?
Probabilities are used to determine the chances of events.
The given parameters:
[tex]n = 5[/tex] ---- the number of candy bars
[tex]p = 40\%[/tex] ---- the probability of selling a candy bar
(a) Name distributions
The distribution of X is represented as:
[tex]X \sim(r,p)[/tex]
Where:
[tex]r = 5[/tex]
[tex]p= \frac{5\times 40\%}{10}[/tex]
[tex]p= 0.2[/tex]
So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]
(b) The probability that the last candy is sold at the 11th house
This means that:
[tex]n = 10[/tex] --- the number of previous houses
[tex]r = 4[/tex] --- the previous number of candies
[tex]p = 0.4[/tex] --- the given probability of selling a candy
The probability is calculated using:
[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]
This gives
[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]
[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]
[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]
[tex]P(x = 11) = 0.1003290624[/tex]
Approximate
[tex]P(x = 11) = 0.1003[/tex]
Hence, the probability that the last candy is sold at the 11th house is 0.1003
(b) The probability he sells the candies on or before the 8th house
The probability is calculated using:
[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]
This gives
[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]
[tex]P(x = 11) = 0.1737[/tex] ---- approximated
Hence, the probability he sells the candies on or before the 8th house is 0.1737
Read more about probabilities at:
https://brainly.com/question/251701
Factor the expression completely: 4x - 48
-
A) 2x - 12
B) 2x - 48
C) 4(x + 12)
D) 4(x - 12)
Answer:
D
Step-by-step explanation:
In circle L with mZKLM 74 and KL = 10 units, find the length of arc KM.
Round to the nearest hundredth.
happy to you are you happy
Write the following phrases as ratios in lowest terms. 1) 3 out of 8 balloons, 2) 5 losses to 7 wins,3) 4 girls to 5 boys,4) 6 books for every 18 students, 5) 2 cars to 3 trucks,6) 11 out of 18 games
Answer:
1) 3:8
2)5:7
3)4:5
4)1:3
5)2:3
6)11:18
Keith bought 4 new baseball trading cards to add to his collection. The next day his dog at half of his collection. There is now 25 cards left. How many cards did Keith start with?
Answer:
46 cards
Step-by-step explanation:
We can use a variable to represent the starting amount of cards: (x)
Keith bought 4 new cards: (+4)
His dog ate half of the collection: (x/2)
There are now 25 cards: (=25)
So we can use this expression to find the starting amount: (x+4)/2=25
Start by multiplying both sides by 2 to get rid of the (x/2).
Now subtract 4 from both sides to get rid of the (+4).
Finally, we know x= 46
Thus, Keith started with 46 cards.
Please look for the question in the picture.
Answer:
I beleive the missing value is -3
Step-by-step explanation:
if you plug -3 into the pink box it will give you the result of -5
(anyone is free to correct me)
hey guys I could really use some help on this.
Answer:
y = - [tex]\frac{10}{3}[/tex] x - 23
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )
m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then
y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 3 ) , then
- 3 = 20 + c ⇒ c = - 3 - 20 = - 23
y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line
Answer:
y= -10x/3 + 1
Step-by-step explanation:
gradient of a line= (Y2-Y1)/(X2-X1)
= (-3-7)/[-6-(-9)]
=-10/3
equation of a line
(Y-Y1)/(X-X1)= gradient
(Y-7)/(X+9)= -10/3
3(Y-7)= -1d0(X+9)
3y-21= -10x -19
3y= -10x + 3
dividing both sides by 3
y= -10x/3 + 1
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
Which angle is this could u plz tell
Step-by-step explanation:
please, this is so easy !
so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.
so,
180 = 25 + 100 + A
A = 55°
ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°
so: ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°
ANSWER: ∠CAB = 55°
ok done. Thank to me :>
Domain and Range from this functions
F(x)= (1/4x-1)^3 +2
Answer:
Domain:(−∞,2)∪(2,∞),{x|x≠2}
Range:(−∞,0)∪(0,∞),{y|y≠0}
Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answer:
5/12
Step-by-step explanation:
1/4 and 1/6 are fractions.
As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.
The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.
Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.
1*3/4*3 = 3/12
Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.
1*2/6*2= 2/12
However, we have two new fractions with same denominator now, that is 3/12 and 2/12
We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)
5/12
What is 7C3? Thanks.
Answer:
C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?
Answer:
7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!
what is the slope of (-1,-2) and (-2,2)
[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4[/tex]
-8 = m/3 + 2
Solve the equation.
m=?
Please explain using 2-step version
-8 = m/3 + 2
Subtract 2 from both sides
-10 = m/3
Multiply both sides by 3
M = -30
Answer:
[tex]m=-30[/tex]
Step-by-step explanation:
[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation
[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction
[tex]-24=m+6[/tex]
[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"
[tex]-30=m[/tex] <-- Final Solution
I need help with this math problem please... 6x+2 if x=3
Answer:
20 is answer, hope it helps ypi
Can anyone please help? im running out of time and im so confused.
Answer:
x=8
Step-by-step explanation:
x+x+5=x+x+x-3
2x+5=3x-3
Subtract 2x from both sides.
5=x-3
Add 3 to both sides.
8=x
-hope it helps
PLEASE HELP ASAP mark brainlist
Answer:
whats the question, tell me it and i'll help you
Step-by-step explanation:
Look at the top questions. Pls I need help asap I don’t get it
Evaluate g(10) of g(x) =1/2x -4
Answer:
g(x)= 1
Step-by-step explanation:
[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]
Help help math math math
Answer:
[tex]\displaystyle m = 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (8, 1)
Point (11, 10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{10 - 1}{11 - 8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{9}{3}[/tex]Simplify: [tex]\displaystyle m = 3[/tex]Answer:
m=3
Step-by-step explanation:
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex]. To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .
[tex]f(x)=y[/tex]
[tex](x)=x[/tex]
x-intercept
To find the x-intercept(s), substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex] .
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]
[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]
[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]
[tex]=0=10x^3-80x^2+65x+525[/tex]
[tex]=10x^3-80x^2+65x+525=0[/tex]
[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]
[tex]\bold{x\approx \:-1.99007\dots}[/tex]
y-intercept
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]
[tex]=y=0-0+0-\left(-52.5\right)[/tex]
[tex]=0-0+0+52.5[/tex]
[tex]\bold{y=52.5}[/tex]
Please help ASAP!!! Will give 10 pts!!
A circle has a radius of 2/2 units and a center at (-5, 1). Which point is located on the circle?
(-3,1)
(-3,2)
(-3,3)
(-3,4)
Answer:
(-3,1)
Step-by-step explanation:
2/2 x (-5,1)
Then the circle is (-3,1)
TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!
Answer:
d x 7 = 105
Step-by-step explanation:
f(x) = 3x + 12, g(x) = 3x - 1;
=
=
Find (fºg)(x).
[tex]\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)[/tex]
Expand and simplify 4(x-3)+3(2x-5).
[tex]4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27[/tex]
someone pleaseeee answer!!!
Answer:
7.79
Step-by-step explanation:
in 30, 60, 90 triangle, hypotenuse is equal to "2x", shortest length is equal to "x" and second longest is equal to "x × square root of 3". hope this helps
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: 1 m
(b) The area of a rectangular painting is 8712 cm?
If the width of the painting is 88 cm, what is its length?
Length of the painting: 1 cm
Answer:
(a) 63 (b) 99
Step-by-step explanation:
(a)
length x 2 = 150
275-150=126/2= 63
(b)
8712/88= 99
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{1}{8} < \frac{2}{7} [/tex]
1/8 < 2/7
Answer: B
#CarryOnLearning