Answer:
[tex]Probability = \frac{2}{9}[/tex]
Step-by-step explanation:
Given:
A pair of dice
Required
Determine the probability of a sum of 5 or 9
Let the sample space of the first die be S1 and the second, S2
[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
[tex]S_2 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
Number of sample space, n is:
[tex]n = 6 * 6[/tex]
[tex]n = 36[/tex]
Next, we list out all possibilities of obtaining a sum of 5
[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]
n(Sum5 )= 4
Next, we list out all possibilities of obtaining a sum of 9
[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]
n(Sum9)= 4
The required probability is then calculated as:
[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]
[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]
Take LCM
[tex]Probability = \frac{4+4}{36}[/tex]
[tex]Probability = \frac{8}{36}[/tex]
Simplify
[tex]Probability = \frac{2}{9}[/tex]
Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
i need help!
Answer:
B, C, F
Step-by-step explanation:
B- has different lengths for each side and different angles
C-has different lengths for each side and different angles
F-has different lengths for each side and different angles
Non congruent triangles means if shape is reflected or rotated they would not look the same. Congruent triangles have same equal length and angles are equal in measure.
John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tree? Find your answer to the nearest tenth
Answer:
The tree is 20.6 ft tall.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.
The diagram makes a right-angled triangle.
Given the angle = Ф = 38⁰Adjacent = a = 5 ftOpposite = b = 20 ftHypotenuse = Tree length = c ?Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:
[tex]\:c=\sqrt{a^2+b^2}[/tex]
substituting a=5, b=20
[tex]c=\sqrt{5^2+20^2}[/tex]
[tex]c=5\sqrt{17}[/tex]
[tex]c=20.6[/tex] ft
Thus, the tree is 20.6 ft tall.
Which one is it please help
Answer:
its 4+(-10)
Step-by-step explanation:
A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. In addition to paying for the purchases, the family paid 4.5% tax on the purchases. The decorator's fee was 12% of the purchases, not including the tax. Write an equation in the form of y=kx to represent the decorator's fee. Then use the equation to calculate the amount of that fee. Round to the nearest hundredths place if necessary.
Answer:
Step-by-step explanation:
Worth of furnishings = $1580
Tax rate = 4.5%
Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10
Amount paid = $1580 + $71.10 = $1651.10
Since the decorator's fee was 12% of the purchases. This will then be calculated as:
y = kx
where,
y = decorators fee
k = percentage of decorators fee on purchases
x = amount paid
y = 12% × $1651.10
= 0.12 × $1651.10
= $198.132
Help me with elar pls
Answer: indirect characterization
Step-by-step explanation:
Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.
Play Prodigy
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Week of 09/5/22 Probability Review/Unit Test...
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The company Sea Esta has ten members on its board of directors. In how many different ways can it
elect a president, vice-president, secretary and treasurer?
there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.
Total members = 10
number of positions = 4
Now, we will use permutations.
So, we get that:
Number of ways = 10 × 9 × 8 × 7
Number of ways = 90 × 56
Number of ways = 5040 ways
Therefore, we get that, there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.
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Simplify the expression using the Distributive Property.
½(10x + 20y)
Answer:
Step-by-step explanation:
The distributive property affects both terms.
1/2 * 10x + 1/2 * 20 y
5x + 10 y <===== Answer
Answer:
5x+10y
Step-by-step explanation:
1/2•10= 5
1/2•20= 10
5x+10y
in 2012, approximately what percentage of high school seniors sampled had used lsd sometime during their life?
In 2012, 8 percentage of high school seniors sampled had used lad sometime during their life.
How common is LSD use among high school seniors?LSD use among secondary school understudies is a specific concern. In excess of 8% of secondary school seniors in the United States utilized the medication something like once in the course of their life, and almost 4% involved the medication in the previous year, as per the University of Michigan's Monitoring the Future Survey. In spite of the fact that by the 1980s LSD use had extraordinarily declined, it made a resurgence during the 1990s, basically among teens. An overview led by Monitoring the Future Study discovered that 13.6 percent of 1997's secondary school seniors had tried different things with LSD no less than once contrasted with just 7.2 percent in 1986.
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carlos montado was born on saturday, november $9$, $2002$. on what day of the week will carlos be $706$ days old? (spell out the entire day of the week.)
When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.
Given,
Carlos born on November 9 2002 which was Saturday
We know,
1 week = 7 days
100 week = 700 days
The 700th day will be Saturday. because the days will repeat every 7 days
707th day will be Saturday, therefore
706th day will be Friday
Hence, When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.
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Answer correct for brainliest!!
Answer:
im going for b
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
You can tell by the equation and the direction of the "<" sign that b is correct.
I've done lots of these problems before.
Solve for X
4x + 8 = 2x + 2
Answer:
x = -3
Step-by-step explanation:
the lengths of a triangle are 12 and 23 meters find the range of possible lengths for the third side
Answer: 11 < x < 35
suppose: the length of the third side is x
because x is the third side of a triangle
=> 23 - 12 < x < 23 + 12
⇔ 11 < x < 35
Step-by-step explanation:
what is 0.42 10 times as much?
Answer:
Answer is 4.2
Step-by-step explanation:
A bike store has a blue bike that is $125 after a 9% tax, what is the cost of the bike?
Answer:
134.38 dollars
Step-by-step explanation:
a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?
A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)
Answer:
c or d
Step-by-step explanation:
Consider the matrix. What is |j| ?
Answer:
- 28
Step-by-step explanation:
Determinant of matrix J is
- 2(5) - 3(6) = - 28
If segment RS has endpoint R(-4,-6) and midpoint M(3,-4) what is point S
Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
How to determine the other endpoint?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
xm = (x₁ + x₂)/2
3 = (-4 + x₂)/2
Cross-multiplying, we have:
6 = -4 + x₂
x₂ = 6 + 4
x₂ of S = 10.
Midpoint on y-coordinate is given by:
ym = (y₁ + y₂)/2
3 = (-6 + y₂)/2
Cross-multiplying, we have:
6 = -6 + y₂
y₂ = 6 + 6
y₂ of S = 12.
Therefore, point S is equal to (10, 12).
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Show that
(2 x 10^2) x (3 x 10^5) = 3.5 x 10^7 + 2.5 x 10^7
We have proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷ .
In the given question
we have to prove that
(2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷
For proving we will solve the LHS and RHS separately and then equate them .
First Solving LHS
we have
=(2*10²)*(3*10⁵)
=(2*3)*(10²*10⁵)
=6*10²⁺⁵ ...( because aⁿ.aˣ = aⁿ⁺ˣ )
=6*10⁷ ...(i)
Now solving RHS
we have
=3.5*10⁷+2.5*10⁷
taking 10⁷ common , we get
=(3.5+2.5)*10⁷
Adding the terms in the bracket we get
=6*10⁷ ...(ii)
As we can see that from equation (i) and (ii) we have LHS=RHS
Hence proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷
Therefore , Proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷ .
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If m TUV = 64, mZTUW = 7x - 2,
and mZWUV = 24, find the value of x.
1
ud
V
X =
What is 23/41 as a percentage?
Give your answer rounded to one decimal place.
Answer:
i think it's 56.1% but the decimal may be wrong
The value of the equation A = 23/41 is 56.1 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 23/41 be equation (1)
On simplifying the equation , we get
A = 0.56097
Now , the value of A in percentage is
A = 56.097 %
Now , on simplifying the equation , we get
A = 56.1 %
Therefore , the value of A is 56.1 %
Hence , the equation is 56.1 %
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In parallelogram HIJK, the measure of angle H is 45 degrees. 1.Find the measure of J and explain how you know
Answer:
45°
Step-by-step explanation:
A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).
For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).
Consecutive angles are supplementary that is ∠A + ∠B = 180°.
The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.
In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:
∠H = ∠J (opposite angles of a parallelogram are equal)
∠J = 45°
McKinney High School band has 105 members that play percussion
instruments. There are 350 members in the band. What percentage of the
band members play percussion instruments?
O 21%
O 30%
42%
10.5%
help me please i will really appreciate it
Answer:
30 percent. Trust me, if not then look it up
HURRRYYYYY PLEASEEEEE
Answer:
I believe it's 12.
Step-by-step explanation:
The interquartile is the box I think.
4.SEP Use Mathematics
The force of
gravity on the moon is only 16.6% the force
of gravity on Earth. For each item listed in the
table below, fill in what its weight would be on
The complete table is given below:
ITEM W(E) W(M)
Apple 150 g 25 g
Hammer 1.5 lbs 0.25 lbs
Person 180 lbs 30 lbs
Blue whale 200 tons 33.3 tons
Here, we are given that the force of gravity on the moon is only 16.6% the force of gravity on Earth.
This means that for an object of mass 'm' -
F(M) = 16.6% of F(E)
This means that a person would weigh six times less on the moon than they do on Earth
W(moon) = [W(earth)]/6
Thus, we can complete the table as follows-
ITEM W(E) W(M)
Apple 150 g 1/6 x 150 = 25 g
Hammer 1.5 lbs 1/6 x 1.5 = 0.25 lbs
Person 180 lbs 1/6 x 180 = 30 lbs
Blue whale 200 tons 1/6 x 200 = 33.3 tons
Hence, the complete table is given above.
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Your question was incomplete. Check for the missing table below.
Solve the inequality n divided by -3 + 8 > 6.
Answer:
n<30
Step-by-step explanation:
have a great day
You have 6 blue skittles, 10 red skittles, 15 orange
skittles and 9 green skittles in a bag. What are
your chances of reaching into the bag and
getting a red skittle? (make sure you simplify)
you’ll get brainliest if you solve this problem
Answer:1/4
Step-by-step explanation:
10/40
1/4
graph function need help
Please Help Its urgent!
Ill give brainliest!!!
Answer: a.70% b.38% c.100% d.31% e.67%
Step-by-step explanation:
The width of a rectangle is 1 units less than the length. The area of the rectangle is 20 units. What is the width, in units, of the rectangle?
how to do 3(x-2)= -6
Answer:
3×x -3×2=-6
or,3x-6=-6
or,3x=-6+6
or,x=0/3
therefore=x =1 answer
Answer:
x = 0
Step-by-step explanation:
Distribute the left side
3(x-2) = -6
3x-6 = -6
Add 6 to both sides
3x = 0
Divide both sides by 3
x = 0/3
x = 0