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]
answer for brainliest and 10 points
Answer:
It is rational because 121 is a perfect square.
2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm
Answer:
Combined volume of the two number cubes = 54 cm³
Step-by-step explanation:
Given:
Side of a cube = 3 centimeter
Number of cubes = 2
Find:
Combined volume of the two number cubes
Computation:
If we combine two cube new figure will be a cuboid.
Length of new cuboid = 3 + 3 = 6 cm
Height of new cuboid = 3 cm
Width of new cuboid = 3 cm
Volume of cuboid = (l)(b)(h)
Combined volume of the two number cubes = (6)(3)(3)
Combined volume of the two number cubes = 54 cm³
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation:
PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:
Answer:
Total number of candies:
6 + 3 + 5 + 2 = 16Q1
P(2 red) = 3/16*3/16 = 9/256Q2
P(a yellow and a blue) = 2/16 * 6/16 = 3/64Q3
P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
PLEASEEE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT
To determine a student’s overall test score for the semester, Ms. Lopez throws out the lowest test score and takes the average of the remaining test scores. Victor earned the following test scores in Ms. Lopez’s class this semester: 62, 78, 83, 84, and 93. What overall test score did Victor earn in Ms. Lopez’s class this semester?
67.6
67.6
80.0
80.0
83.0
83.0
83.5
83.5
84.5
Answer:
80%
Step-by-step explanation:
I'm assuming you want the average of the class.
62 + 78 + 83 + 84 + 93
= 400
400/5
= 80
Therefore Victor's overall test score is 80%
Boubacar went to the store to buy some walnuts. The price per pound of the walnuts
is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the
coupon, how much would Boubacar have to pay to buy 4 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.
Answer:
Step-by-step explanation:
Price per pound of the walnuts = $ 6.50
Price of 4 pounds of the walnuts = 4 *6.50 = $ 26
Amount needs to be paid = Price of 4 pounds of walnut - coupon amount
= 26 - 3.75
= $ 22.25
Expression:
Cost to buy p pounds of walnuts = p * 6.50 = 6.5p
Cost to buy p pounds of walnuts, assuming at least one pound is purchased = 6.50 + 6.5p
Please look at the screenshot
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
can someone help me please
Answer:
3.5
Step-by-step explanation:
If you divide x from y on each row, you will always get 3.5
x=5 so what is (x+3)² =
(3+x)²
(5+3)²=
8²=
64
.
.
.
.
Answer:
64
Step-by-step explanation:
Since x=5
(5+3)^2
(8)^2= 64
Can someone help me find the surface area and volume for these shapes ty.
Answer:
you multiply im pretty sure
Step-by-step explanation:
What does (-0.75) (5/7) equal ?
Answer:
-0.53571428571
Step-by-step explanation:
(PLEASE HELP)
Find the area of the given trapezoid.
240 is the answer you're looking for!
Step-by-step explanation:
To find the area, spilt the trapezoid into 3 shapes.
2 triangles (at the ends) and 1 rectangle (the center).
Let's start with the rectangle, the formula for rectangle area is:
[tex]l*w=A[/tex]
The length of the rectangle is 12, the width is 20. Add the numbers in:
[tex]12*20=A[/tex]
Solve:
[tex]12*20=240[/tex]
The area of the rectangle is 240. Now solve for the Triangles.
The formula for finding the area of triangles are is:
[tex](L*W)/2[/tex]
The length of the triangle is 12. To find the width subtract 20 from 30.
L = 12, W = 10. Add in the numbers.
[tex](12*10)/2 = A[/tex]
Use order of operations to solve, start with parenthesis:
[tex]120/2=A[/tex]
Rember to divide it by 2 because a triangle is half of a rectangle.
[tex]60 =A[/tex]
Since there are two identical triangles, you don't need to solve for the other
Now, add the areas together:
[tex]60 + 120+60=A[/tex]
Then solve:
[tex]180+60=A[/tex]
[tex]240=A[/tex]
The correct answer is 240.
A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x
Consider the below figure attached with this question.
Given:
A, B & C lie on a straight line. D, C & E lie on a different straight line.
[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]
To find:
The value of x.
Solution:
A, B & C lie on a straight line.
[tex]m\angle ABD+m\angle DBC=180^\circ[/tex] (Linear pair)
[tex]y+m\angle DBC=180^\circ[/tex]
[tex]m\angle DBC=180^\circ-y[/tex]
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex] (Exterior angle theorem)
[tex]180^\circ-y+z=x[/tex]
[tex]180^\circ-117^\circ +63^\circ =x[/tex]
[tex]126^\circ =x[/tex]
Therefore, the value of x is 126 degrees.
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
7 cm
7 cm
7 cm
7 cm
26 cm
Step-by-step explanation:
54 because you add 7+7+7+7+26=54
How do I do this I don’t understand it
Answer:
you graph it on the LINE and find the slope
DUE NOW!!! HELP IF U CAN
¿Avisar y enamorar es una rima asonante o consonante?
ES URGENTE. NO PONGAN TONTERIAS SI NO REPORTO
GRACIAS :)
Answer:
son consonantes
guíate por esto.
La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.
What is the median value of the data set shown on the line plot?
HELP ASAP
Answer:
Median: 6
Step-by-step explanation:
1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11
half of 22 (total numbers) is 11, on the 11th spot it is 6
The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.
help me outttt, thank you so much whoever does :))
12.59
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I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly
Answer:
What're the questions??
Step-by-step explanation:
why did this just now show up for me when it was in 2021 bro
Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing? a) Ja’quan read the thermometer wrong b) He must have observed hail falling from thunder clouds c) It was cold enough to allow solid precipitation to fall d) Children were most likely throwing ice Reasoning (explain your answer using science facts) _________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answer:
b
Step-by-step explanation:
hail can occur at temperatures not too cold and not too hot. since he checked his thermometer and it was warm, it is certainly possible that he saw hail
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.
Answer:
around 5.5 inches
Step-by-step explanation:
34.48 = 2rπ
34.48/π = 2r = around 11
r = 11/2
The radius of the circle is equal to 5.49 inches.
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
here, we have,
Given here:
Circumference as 34.48 inches and π=3.14
Now circumference of the circle is given by
2πr=34.48
r=34.48/2×3.14
r=5.49 inches
Hence, The radius of the circle is equal to 5.49 inches.
Learn more about circumference here:
brainly.com/question/14200825
#SPJ2
which expression is equivalent to 2x+x^2+3x|+5x^2-10x?
(A) x
(B) x^2
(C) -5x+6x^2
(D) 15x+6x^2
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.
Answer:
Step-by-step explanation:
