Answer:
a) [tex]P(x > 2) = \frac{1}{6}[/tex]
b) [tex]P(x < 5) = \frac{1}{3}[/tex]
c) 50 times
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]
Solving (a): P(x > 10)
First, list all outcomes of x
[tex]x = \{11,12\}[/tex] --- 2 outcomes
So, the probability is:
[tex]P(x > 2) = \frac{2}{12}[/tex]
Simplify
[tex]P(x > 2) = \frac{1}{6}[/tex]
Solving (b): P(x < 5)
First, list all outcomes of x
[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes
So, the probability is:
[tex]P(x < 5) = \frac{4}{12}[/tex]
Simplify
[tex]P(x < 5) = \frac{1}{3}[/tex]
Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200
We have:
[tex]n = 200[/tex]
First, list all outcomes of x
[tex]x = \{4,6,9\}[/tex] --- 3 outcomes
So, the probability is:
[tex]P(x ) = \frac{3}{12}[/tex]
Simplify
[tex]P(x ) = \frac{1}{4}[/tex]
The expected number of rolls (E(x)) is calculated as:
[tex]E(x) = P(x) * n[/tex]
[tex]E(x) = \frac{1}{4} * 200[/tex]
[tex]E(x) = 50[/tex]
How does 0.07/2.8 equal the same answer as 7/280?
Answer:
4.065
Step-by-step explanation:
40.6 divide by 5 so answer is 4.065
Answer:
Step-by-step explanation:
0.07/2.8 = 0.025
7/280 = 0.025
Yes they are same because their answer is same
Find the value of x that makes the equation true
3(-2 + 1 ) + 5 = 3x -4 - 5x
Answer:
[tex]x = - 3[/tex]
Step-by-step explanation:
Reason
[tex]3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3[/tex]
Anybody who want extra points I can give it too you, NOT A JOKE I AM SERIOUS.
Just answer this question:
Answer:
? 40.50
Step-by-step explanation:
90 ÷ 20 × 9 = 40.5
Answer:
cost of 9article is 40.50
hope it helps.
Solve using distributive property:
-2/5*3/2+5/3*9/10-3/2*4/5
Answer:
Answer Down Below
Step-by-step explanation:
The answer to your question is -0.3.
a one digit whole number greater than 0 is multiplied by 10^5. how many zeros will the product have?
Answer:
5
Step-by-step explanation:
A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
77 m
Step-by-step explanation:
The 2 situations are similar , so the ratios of corresponding sides are equal.
let h be the height of the tower, then
[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )
1.77h = 137.025 ( divide both sides by 1.77 )
h ≈ 77 m ( to the nearest metre )
Which is the equation of a parabola with vertex (0,0) and directrix y= 4
a. Y^2 = -8x
b. Y^2 = -16x
c. X^2 = -8y
d X^2 = -16y
Answer:
D. [tex]x^{2} = -16\cdot y[/tex]
Step-by-step explanation:
The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:
[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)
Where:
[tex]y[/tex] - Dependent variable.
[tex]x[/tex] - Independent variable.
[tex]p[/tex] - Focus distance.
If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].
Hence, the right choice is D.
3x + 2y = 1 4x + 3y = -2 Elimination
Answer:
x=7 y=-10 this is ur answer
HELP!!!! WILL GIVE BRAINLYIST
Answer:
1.071
Step-by-step explanation:
[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]
If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote
Answer:
y=6
Step-by-step explanation:
The horizontal asymptote for y = 1/x is the x-axis, y = 0.
Shifting the graph up 6 makes the asymptote move up, too, to y = 6.
See the attached image:
y = 1/x is purple
y = 1/(x + 2) + 6 is black
Don bought four tomato plants that cost $2.38 each he paid $0.76 sales tax how much change will he receive from $10
Which in the following terms mean addition
Answer:
I think total of is right answer
Please help thank youu!
Answer:
the answer would be 11. bc 2 x 3=6 + 5= 11
U have to substitute the y for 3
Answer:Y = -7
Step-by-step explanation:
please help thank you :)
[tex] \: \: \: \: \: \: \red{ \underline{ \large{ \pink{ \tt{꧁ A \: N \: S \: W \: E \: R ꧂}}} }}[/tex]
✧ [tex] \underline{ \underline{ \large{ \red{ \tt{G \: I\: V \: E\: N}}}} }: [/tex]
AC bisects [tex] \tt{ \angle BAD\: \& \: \angle \: BCD}[/tex]
❀ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I\: N\: D}}}}} : [/tex]
Congruence theorem which justifies ∆ ABC [tex] \cong[/tex] ∆ ADC.♕ [tex] \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}: [/tex]
[tex]\begin{array}{ |c| c | c | } \hline \text{SN}& \text{Statement} & \text{Reason}\\ \hline \\ \text{1 \: i.}& \sf{In \triangle} \:ABC \: \& \: \triangle \: ACD \: \ \\ & \tt{ \angle ACB= \angle \: ACD(A)}\ & \sf{AC \: bisects \angle \: BCD(Given)} \\ \text{ii} \: & \tt{AC= CA(S)}& \sf{Common \: side} \\ \text{iii} \: & \tt{ \angle \: BAC = \angle \: CAD(A)}& \sf{AC \: bisects \: \angle \: BAD ( Given )}& \\ \\ \hline 2& \tt{ \triangle} \: ABC \cong \triangle{ADC}& \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\ \hline\end{array}[/tex]
Hence , We can conclude :
ASA congruence theorem justifies ∆ ABC [tex] \cong[/tex] ∆ ADCツ Hope I helped! ♡
♪ Have a wonderful day / night ! ✎
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}} ☃ [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The line has slope 3 and passes
through the point (-2,-5).
Answer:
y = 3x + 1
Step-by-step explanation:
y = 3x + b
-5 = 3(-2) + b
-5 = -6 + b
1 = b
I need Help please!!
Point B has coordinates (3,1). The x-coordinate of point A is negative 1. The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answer:
Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.
Using distance formula for AB we obtain,
AB^2=(x2-x1)^2 + (y2-y1)^2
5^2=(3+1)^2 + (1-y)^2
25-16=(1-y)^2
9=(1-y)^2
1-y=3
y= -2
Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.
Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).
A: 0
B: 13
C: 8
D:16
Answer:
B
Step-by-step explanation:
Use the distance formula in 3 dimensions
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]
with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)
d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13 → B
Match each statement with its corresponding value for the system below:
y = -2(3)x and y = 9x - 2
1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.
the options as the answers are:
0, -2, and 1
Answer:
The X Coordinate equals 0.
The Y Coordinate equals -2
And the number of points of intersection is 1.
Hope this helps!
Step-by-step explanation:
Answer:
The X Coordinate equals 0.
The Y Coordinate equals -2
And the number of points of intersection is 1.
Hope this helps!
Step-by-step explanation:
Which graph does not represent a function?
put this in least to greastest
Answer:
3, 1, 4, 2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
-10, [tex]\sqrt{100}[/tex] , 11.5, [tex]\sqrt{220}[/tex] .
Step-by-step explanation:
what expressions from the table are equivalent to that expression ?
Answer:
Step-by-step explanation:
11). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}[/tex]
= [tex]p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}[/tex]
= [tex]p^{\frac{6}{10}}\times \sqrt[10]{p^4}[/tex]
= [tex]\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}[/tex]
= [tex]\sqrt[10]{p^{10}}[/tex]
= p
Yes
12). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}[/tex]
But, [tex]\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}[/tex]
No
13). Since, [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p[/tex]
Simplify the given expression,
[tex]\sqrt[10]{p^{\frac{23}{5}}}[/tex]
[tex]\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}[/tex]
No.
14). [tex]p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p[/tex]
No.
15). [tex]p^{24}\neq p[/tex]
No.
Can someone help me with this please
Answer:
46.5
Step-by-step explanation:
With perimeter you can just add up all the sides.
C-D=7.4
D-E=14
E-F=12.1
F-C=13
=46.5
someone please help im gonna fail
Answer:
The order will be 2, 3, 4 & 1
Answer:
Juana lee Ann Jackson ryne
Step-by-step explanation:
can i have brainly
5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?
Answer:
60% of students are boys
Step-by-step explanation:
Okay first subtract 645-258 to get the amount of boys at the school
645-258=387
Now the ratio of boys to girls is
387:258
387/645×100 to get percentage of boys
put that in your calculator and you will get 60%
so there is 60% of middle school boys and
258/645×100 to get the percentage of girls
put it in the calculator and you will get 40%
so 60% boys and 40% girls
60% + 40% = 100%
What is the equation of function g?
g(x)= f(x)
Answer:
f=gx-4/x-2
f=x^3+2/x
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
II and III
Step-by-step explanation:
Causation always means coorelation, but corelation doesn't always mean causation.
Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.
Therefore, only II and III are correct.
4·(4+32+42) please help fast
Answer:
Uhm so I did 4×4=16 than 4×32=128 than 4×42=168
You add 16+128=144 than you divide 144÷168 which gives you a decimaled number which I got 0.8 if you round up its 1.0
Need help please urgent. Correct answers only no links.
Answer:
the exact answer is 314.159265359
Step-by-step explanation:
but it simplifies to 314.16
Halley’s Comet can be seen from Earth every 75 years. What type of sequence is formed by the years Halley’s Comet can be seen? arithmetic geometric or neither
Answer:
Arithmetic
Step-by-step explanation:
Answer:
Arithmetic
next answer is 2061