The probability that at least one of the cubes will have the face labeled 5 showing and that the sum of the showing faces will be greater than 8 is 5/36.
What is the probability?A probability is a numerical representation of the possibility or chance that a specific event will take place. Probabilities can be written as percentage between 0 and 1.
Number of sample spaces that are labeled 5 and display a sum more than 8 / total sample space gives the likelihood that at least one of the cubes will have the face labeled 5 showing and that the sum of the faces showing will be greater than 8.
When two cubes are rolled, the total sample space is 36.
The sample space that is labelled 5 and has a sum greater than 5 are: (4,5) , (5, 4) , (5, 5), (5, 6) , (6,5) = 5
The probability = 5/36
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The function `P` gives the number of people, in millions,
who own a smartphone, `t` years after year 2000. could t be 4 ?
The interpretations of the equations are
(a) P(17) = 2320: There are 2320 million people in 2017(b) P(-10) = 0: There are 0 million people in 1990How to interpret the equationsFrom the question, we have the following parameters that can be used in our computation:
The function `P` gives the number of people, in millions,
Years = t
The function P(17) = 2320
Recall that, we have
P(t) = the number of people, in millions,
This means that the year is
Year = 2000 + 17
Year = 2017
So, the interpretation is there are 2320 million people in 2017
The function P(-10) = 0
So, we have
Year = t + 2000
Substitute the known values in the above equation, so, we have the following representation
Year = -10 + 2000
Evaluate
Year = 1990
So, the interpretation is there are 0 million people in 1990
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Complete question
The function gives the number of people , in millions. who own smarphone t years alter the year 2000
What does each equaton tell us about smartphone ownership?
(a) P(17) = 2320
(b) P(-10) = 0
Will give thanks 5 stars and brainliest if work shown
Answer:
152°
Step-by-step explanation:
Circle Theorem vocabulary
Secant: a straight line that intersects a circle at two points.
Arc: the curve between two points on the circumference of a circle
Intercepted arc: the curve between the two points where two chords or line segments (that meet at one point on the other side of the circle) intercept the circumference of a circle.
Angles of Intersecting Secants Theorem
If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.
[tex]\implies m \angle PRD=\dfrac{1}{2}\left(m\overset{\frown}{PD}-m\overset{\frown}{QS} \right)[/tex]
From inspection of the given diagram:
[tex]m \angle PRD=50^{\circ}[/tex][tex]m\overset{\frown}{PD}=(12x+8)^{\circ}[/tex][tex]m\overset{\frown}{QS}=(4x+4)^{\circ}[/tex]Substitute these into the formula and solve for x:
[tex]\implies 50^{\circ}=\dfrac{1}{2}\left((12x+8)-(4x+4)\right)^{\circ}[/tex]
[tex]\implies 50^{\circ}=\dfrac{1}{2}\left(8x+4\right)^{\circ}[/tex]
[tex]\implies 100^{\circ}=(8x+4)^{\circ}[/tex]
[tex]\implies 96^{\circ}=8x^{\circ}[/tex]
[tex]\implies x=12[/tex]
Substitute the found value of x into the expression for arc PD:
[tex]\implies m\overset{\frown}{PD}=(12x+8)^{\circ}[/tex]
[tex]\implies m\overset{\frown}{PD}=(12 \cdot 12+8)^{\circ}[/tex]
[tex]\implies m\overset{\frown}{PD}=(144+8)^{\circ}[/tex]
[tex]\implies m\overset{\frown}{PD}=152^{\circ}[/tex]
Therefore, the measure of arc PD is 152°.
A cla ha 12 boy and 18 girl. The cla a a whole ha a GPA (grade point average) of 2. 88, and the boy have a GPA of 2. 52. What i the GPA of the girl? (Round your anwer to two decimal place. )
The GPA of the girls is 3.12
In this question, we have been given a class has 12 boys and 18 girls.
The class as a whole has a GPA (grade point average) of 2.88, and the boys have a GPA of 2.52
We need to find the GPA of girls.
Let m be the GPA of girls.
The weighted average GPA would be,
(12(2.52) + 18m)/ (12+18) = 2.88
We solve above equation to find the value of m
30.24 + 18m = 30 * 2.88
18m = 86.4 - 30.24
18m = 56.16
m = 3.12
Therefore, the GPA of the girls in the class is 3.12
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a car traveling at 48 ft/sec decelerates at a constant 2 feet per second per second. how many feet does the car travel before coming to a complete stop?
567 feet does the car travel before coming to a complete stop .
What is the definition of a velocity simple?
The direction of the movement of the body or the object is defined by its velocity. In its basic form, speed is a scalar quantity.
In essence, velocity is a vector quantity. It measures how quickly a distance changes. It is the displacement change rate.
vo = 48 v(t) = integral of a(t) plus vo, the initial velocity
a(t) = -2
v(t) = -2t + 48 = 0 when t= 21 seconds, the time to stop
s(t) = -t^2 +48t
s(21) = -(21)^2 + 48(21) = 1008-441 = 567 feet
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Mr. Dyson works at a music camp. he has $90 to spend on guitar strings for his students. a pack of bronze strings cost $6. A pack of nickel strings cost $4.50. The equation 6x + 4.5y = 90 represents the situation. how many packs of nickel strings does he buy if he only buys nickel strings and no bronze strings.
By evaluating the linear equation, we will see that Mr. Dyson will buy 20 packs of nickel strings.
How many packs of nickel strings does he buy?We know that the linear equation:
6x + 4.5*y = 90
Represents the given situation, where the variable x is the number of bronze strings and y is the number of nickel strings.
We want to find the number of packs of nickel strings that he will buy if he does not buy any bronze strings, so we need to evaluate in x = 0.
We will get:
6*0 + 4.5*y = 90
4.5*y = 90
y = 90/4.5 = 20
He will buy 20 packs of nickel strings.
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Find the rate of change shown in the table. X 1 2 3 4 Y -3 -q -15 -21
Answer:
q = -9
Step-by-step explanation:
(3, -15), (4, -21)
(-21 + 15)/(4 - 3) = -6/1 = -6
y + 15 = -6(x - 3)
y + 15 = -6x + 18
y = -6x + 3
q = -6(2) + 3 = -12 + 3 = -9
An elevator started on the first floor and went up 18 floors. It then came down (11 floors,
and went back up 16. At what floor did the elevator stop?
An elevator stop for 23 floor.
it went up so +18
it came down so -11
again it went upward +16
so... 18-11+16
=18+16-11
=34-11
=23
An elevator or lift is a cable-assisted, hydraulic cylinder-assisted, or roller-track assisted machine that vertically transports people or freight between floors, levels, or decks of a building, vessel, or other structure. They are typically powered by electric motors that drive traction cables and counterweight systems such as a hoist, although some pump hydraulic fluid to raise a cylindrical piston like a jack.
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Answer:
24th floor
Step-by-step explanation:
You want to know where an elevator stopped if it started at the first floor, went up 18, down 11, and back up 16.
Floor numberIf it started at the first floor and went up 1, it would be at the 2nd floor. Starting from the first floor and going up 18, it would be at the 19th floor.
Down 11 floors from there is the 8th floor. Back up 16 floors from the 8th floor puts the elevator at the 24th floor.
The elevator stopped at the 24th floor.
__
Additional comment
If there is no 13th floor, then it may have stopped at the 25th floor.
PLEASE HELP ME! 30 POINTS AND I WILL GIVE BRAINLIEST!
14 - 8x < 6x + 36
Answer:
x (in simple terms)< -11/7 or -1 4/7
Step-by-step explanation:
1) Place x on one side: The point of this is to islolate x (and to keep things simple make x a positive variable if you can). One way of doing this is adding 8x on both sides what we now get is 14 < 14x + 36
2) Subtract 36 on both sides: We doing this for the same reason as the 1st step which is to islolate x so after this the new equation is -22 < 14x
3) Divide 14 on both sides: Since we aren't dividing by a negative number the sign remains the same the answer is -22/14 < x or x> -22/14 but to simply find the greatest common factor for both the numberator and demonationr which is 2 and divide from there the answer is x> -11/7 or x> -1 4/7
Find the additive inverse of -[tex]\frac{1}{2}[/tex]
Answer: 1/2
Step-by-step explanation:
Let N be any number and M be the additive inverse of N
N + M = 0 = M + N
that additive inverse of N is - N
x + ( - 1/2 ) = 0
x - 1/2 = 0
x = 1/2
the additive inverse of -1/2 is 1/2
using the graph, determine the question of the axis of symmetry
The required equation is y = -(x + 1)² + 9.
What is parabola ?Parabola is a curve like shape, in which any point is equal distance from a fix point.
The standard equation of parabola,
y = a(x-h)² + k.
Here, h = horizontal coordinate of the vertex,
k = vertical coordinate of the vertex.
In the given graph, the vertical coordinate of the vertex k = 9,
The horizontal coordinate of the vertex h = -1.
And the focus of the parabola = -1,
The required equation,
y = -1(x - (-1))² + 9
y = -(x + 1)² + 9
The required equation of the given graph is y = -(x + 1)² + 9.
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Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue paint, 4 tubes of red paint, 3 tubes of yellow paint and 6 tubes of green paint. Jorge selects a tube of paint at random. Which is more likely: selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint?
The probability that is more likely between selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint id; Both are equally lilkely.
What is the probability of selection?We are given;
Number of blue tubes = 7
Number of red tubes = 4
Number of yellow tubes = 3
Number of green tubes = 6
Thus;
Total number of painted tubes = 7 + 4 + 3 + 6 = 20
Probability of selecting a blue tube = 7/20
Probability of selecting a red tube = 4/20
Probability of selecting a yellow tube = 3/20
Probability of selecting a green tube = 6/20
Thus;
P(selecting a tube of blue or yellow paint) = (7/20) + (3/20) = 10/20
P(selecting a tube of green or red paint) = (6/20) + (4/20) = 10/20
Thus, they are equally likely.
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Israel and Kylie plan a fundraiser for a running club. They begin with a balance of $-80 because of expenses. In the first hour of the fundraiser, they collect equal donations from 9 family members, which brings their balance to $-44. How much did each parent give?
Explain.
Answer: $4
Step-by-step explanation: To find how much each family paid, we must do this:
80-44
That gets us to 36. Now, we do 36 / 9, and get 4!
TIP: Don't worry about the negative signs, It won't be used in this. I hope this helped!
The sales tax is $53 on the purchase of a dining room set for $1060. Find the sales tax rate.
Answer: Sale tax rate is 5%
Step-by-step explanation:
Take $53 divided by $1060, then time 100% = 5%
due today pls help me :c
Find the value of b.
Give reasons.
Answer:
b = 72
Step-by-step explanation:
Since AB and AC are congruent then Δ ABC is isosceles with base angles also congruent, that is
∠ ACB = ∠ ABC = b
the sum of the 3 angles in the triangle is 180° , then
b + b + 36 = 180
2b + 36 = 180 ( subtract 36 from both sides )
2b = 144 ( divide both sides by 2 )
b = 72
You lose an online auction for an autograph. Your losing bid of $40 is 80% of the winning bid. How much less was your bid than the winning bid
In the online auction for an autograph, losing bid is 10 less than the winning bid.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Losing bid in online auction of Autograph = $40,
Also, Losing bid is 80% of the winning bid,
Let winning bid is 100%.
Therefore, winning bid is 20% more than losing bid.
Since,
80% = 40
20 % = 10
Hence, losing bid is 10 less than the winning bid.
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Identify two equations for the line that passes through (2,-1) and (8,4)
The equations of the line that passes though points (2,-1) and (8,4) are
y = 2x/3 - 7/3y = 2x/3 - 28/3How to find the equations of the lineThe linear function written in the slope intercept form form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
calculation of slope
The points used for the slope is gotten from the graph as (2,-1) and (8,4)
m = (y₂ - y₁) / (x₂ - x₁)
substituting the values
= (-1 - 4 ) / (2 - 8 )
= -4 / -6
= 2/3
using the point slope formula which is
(2, -1)
(y - y') = m(x - x')
(y - (-1)) = 2/3(x - 2)
y + 1 = 2x/3 - 4/3
y = 2x/3 - 4/3 - 1
y = 2x/3 - 7/3
(8,4)
(y - 4) = 2/3(x - 8)
y - 4 = 2x/3 - 16/3
y = 2x/3 - 16/3 + 4
y = 2x/3 - 28/3
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a box of frozen vegetables weighing 144kg 780g was delivered at a grocery shop. If there were 15 packets of equal inside the box, what was the weight of each bag?
Answer:
9.652 kg
Step-by-step explanation:
144 kg 780 g = 144.78 kg
if there are 15 packets in the box then:
144.78 ÷ 15 = x
x = 9.652 kg
Therefore the weight of each bag is 9.652 kg
assume a single spin of the roulette wheel is made. find the probability of the marble landing on a 00 or even slot.
By applying this theory, it is discovered that there is an 0.5 = 50% chance that the marble will land on a 00 or even slot.
What is the definition of the term probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.A probability is calculated by dividing the entire number of possible outcomes by the desired outcomes.
In this issue:
There are thus 38 positions; T =3818 of them are even, plus 00, so D = 19The preferred likelihood is:
P = D/T
P = 19/38 = 0.5
Thus, the probability that the marble will land on a 00 or even slot is 50%, or 0.5.
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The complete question is-
When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to 36, with two additional slots labeled 0 and 00 that are painted green. Consider the numbers 0 and 00 as neither even nor odd. Half the remaining slots are colored red and half are black. Assume a single spin of the roulette wheel is made. Find the probability of the marble landing on a 00 or even slot.
4/9 x 6 help me please
Answer: 2.666666etc..
Step-by-step explanation:
Answer:
2.64
Step by step explanation
4/9=0.44
0.44×6=2.64
Suppose that scores on the mathematics part of the National Assessment of Educational
Progress (NAEP) test for high school seniors follow a normal distribution with mean 240 and standard deviation 27. In a random sample of 49 students, find the probability that their average score is between 200 and 250.
The probability that their average score is between 200 and 250 is 42.49%.
What is z- score?The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a given data point deviates from the mean. In essence, standard deviation represents the degree
Given:
Mean = 240
and standard deviation = 27
So, P( 200 < x < 250) = P( (x- [tex]\mu[/tex])/ [tex]\sigma[/tex] < x < x- [tex]\mu[/tex])/ [tex]\sigma[/tex])
= P (200- 240 / 27 < x < 250- 240 /27)
= P( -1.481 < x < 0.370)
= 0.42499
Hence, the probability that their average score is between 200 and 250 is 42.49%.
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HELP ASAP DUE TODAY
!
Answer:
Step-by-step explanation:
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2
correct answer is A
anyone understand this?
Answer:
YES
Step-by-step explanation
it is just vocab words you probably have to study
1. (x + 2)(2x + 3) =
???? Help lol
Answer:
[tex]2x^2+7x+6[/tex]
Step-by-step explanation:
Use the FOIL method to multiply these two expressions:
[tex](x+2)(2x+3)\\x(2x)+2(2x)+3(x)+2(3)\\2x^2+4x+3x+6\\2x^2+7x+6[/tex]
Find the equation of the line shown.
The equation of the line is y = -2x + c
What is an equation ?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another.
To find the slope, use the two points (4.5,0) and (0,9) and substitute these in the slope formula:
m = [tex]\frac{(y_{2} - y_{1})}{(x_{2} - x_{1} )}[/tex]
= (9 - 0) / (0 - 4.5)
= -2
The equation of the line is
y = mx + c
y = -2x + c
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Jada sold 9 stuffed animals last year, which was 36 % of her collection. How many stuffed animals did she start the year with?
Answer:
25
Step-by-step explanation:
9/x = 36/100
9 x 4 = 36
? x 4 = 100
100 ÷ 4 = 25
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.
The area of the circle-shaped rug is 379.94 square inches
How to determine the area of the circleThe formula for calculating the area of a circle is expressed as;
Area = πr^2
Where;
π has a constant value of 3.14r is the radius of the circleFrom the information given, we have the value of the circumference as 69.08 inches
We need to find the value of the radius.
The formula for calculating the circumference of a circle is mathematically expressed as;
Circumference = 2πr
Where: r is the radius of the circle and π takes the value 3. 14
Now, substitute the value into the formula for circumference of a circle, we have;
69.08= 2(3.14)r
Divide both sides by the coefficient of r
r = 69.08/6. 28
r = 11 inches
Then, area = 3.14 × (11)^2
Area = 3.14 × 121
Area = 379.94 square inches
Hence, the value is 379.94 square inches
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Complete question:
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches. Find the area
5.
The population of arctic foxes in Yukon can be modelled by the following equation:
P = 400 cos(30t - 180) + 1100
Where 't' represents the number of years since 1992.
a.
What was the population of arctic foxes in Yukon in 1992?
b. What are the maximum and minimum number of arctic foxes?
C. Sketch a graph that represents how the population of artic foxes changes over time (since 1992).
D. What will be the population of arctic foxes in 2030?
E. When was the first time the population of arctic foxes reached 1300 (since 1992)?
Answer:
Step-by-step explanation:
[tex]P(t)=400cos(30t-180)+1100[/tex]
a. What was the population of arctic foxes in Yukon in 1992?
t' represents the number of years since 1992. So plugging in 0 gives the population in 1992.
[tex]P(0)=400cos(30*0-180)+1100[/tex]
Subtract 180 from 0.
[tex]P(0)=400cos(-180)+1100[/tex]
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
[tex]P(0)=400(-cos(0))+1100[/tex]
The exact value of cos (0) is 1.
[tex]P(0)=400(-1*1)+1100[/tex]
[tex]P(0)=400*-1+1100[/tex]
Multiply 400 by −1. Then add −400 and 1100.
[tex]P(0)=700[/tex]
D. What will be the population of arctic foxes in 2030?
[tex]P(38)=400cos(30(38)-180)+1100[/tex]
[tex]P(38)=900[/tex]
Helen thinks of two numbers. The highest common factor of her two numbers is 5. The lowest common multiple of her two numbers is a multiple of 12. Write down two possible numbers that Helen could be thinking of.
It is evident from the steps above that it is impossible to be have two numbers with the same LCM and HCF as 12 and 5, respectively.
Explain the term LCM and HCF?The entire form of the Least Common Multiple in mathematics is LCM, whereas the official name of the Highest Common Factor is HCF. The L.C.M. indicates the least number that is precisely divisible by 2 or more numbers, while the H.C.F. describes the biggest factor existing between any given pair of 2 or more numbers.The given condition are-
Helen considers two numbers that fit the following criteria:
Five is the two integers' largest common factor.Twelve is the least frequent multiple of a two numbers.The steps to solve the condition are-
1. It is assumed that when Helen considers of two numbers, they have corresponding HCF and LCM values of 5 and 12.
2. A smallest common multiple shared by two numbers is referred to as the least common number.
LCM of 4 with 6 is 12, for instance.
3. The highest number which divides the two selected numbers, leaving a residue of 0, is referred to as the highest common factor.
HCF of 6 and 8 is 2, for instance.
4. Given that the LCM of Helen's two chosen numbers is 12, even multiples of 12 are indeed the two numbers' common multiples. In light of this, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, and so forth.
5. The only numbers that may be divided by 5 are 60 and 120. All other numbers have HCF values apart from 5. 60 and 120 have an HCF of 60, but not 5.
6. As a result, it is evident from the steps above that it is impossible to be have two numbers with the same LCM and HCF as 12 and 5, respectively.
Therefore, the aforementioned criteria cannot exist mathematically.
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1-a)divide both sides by 2 and then subtract 1.1
b)divide both sides by 2 and then add 1.1
C)multiply both sides by 2 and then subtract 1.1
d)multiply both sides by 2 and then add 1.1
3-a)add or b)subtract
4-a) multiply b) divide
One way to solve 2(a - 1.1) = 5.8 is divide both sides by 2 and then add 1.1 on both sides to find a = 4.
To solve 5/2 b - 2 3/4= 7 1/4, add 2 3/4 on both sides, and then multiply both sides by 2/5 to find b = 4.4
In the equation a and b divide the same value.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given equation is
2(a - 1.1) = 5.8
divide both sides by 2
a - 1.1 = 5.8/2
a - 1.1 = 2.9
Add 1.1 on both sides:
a - 1.1 + 1.1 = 2.9 + 1.1
a = 4.
Another equation is
5/2 b - 2 3/4= 7 1/4
add 2 3/4 on both sides:
5/2 b= 7 1/4 + 2 3/4
Convert the mixed fraction to improper fraction:
5/2 b = 29/4 + 15/4
5/2 b = 44/4
Multiply both sides by 2/5:
b = (44/4) × (2/5)
b = 11× (2/5)
b = 22/5
b = 4.4
Both number 4 a and 4.4 is divisible by 4.
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