Answer:
5/18, 0.278, 27.8%
Step-by-step explanation:
In this problem, we basically want to find the probability that Marcus will have a total sum of the 2 dices less than Lucia.
In her throw, Lucia gets a 4 and a 1, so she gets a total sum of 5.
Therefore, we want to find the probability that Marcus will get 5 or less.
The possible combinations that can be obtained when throwing 2 dices are 36 (6 x 6).
Of all these 36 combinations, those that gives a sum of 5 or less are:
1 +1 = 2
1 + 2 = 3
2 + 1 = 3
1 +3 = 4
3 + 1 = 4
1 + 4 = 5
4 + 1 = 5
2 + 2 = 4
2 + 3 = 5
3 + 2 = 5
So, a total of 10 combinations.
Since the probability of an event is:
[tex]p(A)=\frac{s}{n}[/tex]
where
s is the number of successfull outcomes
n is the number of total possible outcomes
Here we have
s = 10
n = 36
Therefore the probability here is
[tex]p=\frac{10}{36}=\frac{5}{18}=0.278 = 27.8\%[/tex]
Find a . b if a = (4.3) and b = (4,5).
a. 31
b. (8,8)
c. (16,15)
d. -1
Answer:
answer is c.(16 , 15)
Step-by-step explanation:
Answer:
a. 31
Step-by-step explanation:
It's 31 on edge :)
triangle ABC is isosceles a= 56 degrees work out three possible values of angle B
def: -in an isosceles triangle two of its angles measure the same
- the sum of all angles in a triangle is 180°
case1: if angle a measures the same with another angle in the triangle
=>angle1=56
angle2=180-2*56=180-112=68°
from this case we extract 2 posibilities:
B=56° or B=68°
case2: if the other 2 angles beside a measure the same
angle1=angle2=(180-56)/2=62°
from this case we e extract one posibility:
B=62°
Final answer:
In an isosceles triangle ABC with angle A equal to 56 degrees, three possible values for angle B are 68 degrees if it is the vertex angle, and 56 degrees or 62 degrees if it is one of the base angles.
Explanation:
If triangle ABC is an isosceles triangle with angle A (a) equal to 56 degrees, we can work out three possible values of angle B using the properties of an isosceles triangle and the fact that the sum of angles in any triangle is 180 degrees.
Since triangle ABC is isosceles, two of its angles are equal. If angle A is one of the two equal angles, then angle B (which is the vertex angle) is given by:
B = 180° - 2AIf angle B is one of the two equal angles, then we have two cases:
B = A (the two base angles are equal)B = (180° - A) / 2 (the vertex angle is different)In the first case where angle B equals angle A (56 degrees), then the other base angle (angle C) must also be 56 degrees, and the remaining vertex angle B would be 180° - 56° - 56°, which is 68 degrees.
In the second case, where B is the vertex angle:
B = 180° - 2AB = 180° - 2(56°)B = 180° - 112°B = 68 degreesThis gives us the same value for angle B as in the first case since both result in the same configuration.
Finally, if angle B is one of the two base angles and equal to angle C, then B would be (180° - A) / 2:
B = (180° - 56°) / 2B = 124° / 2B = 62 degreesSo, three possible values for angle B are 68 degrees, 56 degrees (if B is one of the base angles), and 62 degrees (again, if B is a base angle).
Vectors a = (3, 4) and b = (m, 2) are given. For which value of m they are perpendicular?
Answer:
The value of m is [tex]-\frac83[/tex].
Step-by-step explanation:
If two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are perpendicular to each other then their dot product will be zero i.e [tex]\vec A.\vec B=0[/tex]
If two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are parallel to each other then their cross product will be zero i.e [tex]\vec A\times\vec B=\vec 0[/tex]
Given vectors are a= (3,4) and b=(m,2)
The position vector of [tex]\vec a[/tex] is =[tex]3 \hat i+4\hat j[/tex]
The position vector of [tex]\vec b[/tex] is =[tex]m \hat i+2\hat j[/tex]
Since [tex]\vec a[/tex] and [tex]\vec b[/tex] are perpendicular.
Then,
[tex]\vec a. \vec b=0[/tex]
[tex]\Rightarrow (3\hat i+4\hat j).(m\hat i+2 \hat j)=0[/tex]
⇒3.m +4.2=0
⇒3m+8=0
⇒3m= -8
[tex]\Rightarrow m=-\frac 83[/tex]
The value of m is [tex]-\frac83[/tex].
a and b are positive integers and a−b=2. Evaluate the following: 4^0.5a/ 2^b
Answer: [tex]\frac{4^{0.5 a}}{2^{b}}=4[/tex]
Step-by-step explanation:
We are told [tex]a-b=2[/tex] being [tex]a[/tex] and [tex]b[/tex] positive integers, hence:
[tex]a=2+b[/tex] (1)
Now we have the following expression:
[tex]\frac{4^{0.5 a}}{2^{b}}[/tex] (2)
Which can be also written as:
[tex]\frac{2^{2(0.5 a)}}{2^{b}}[/tex] (3)
Since [tex]4=2^{2}[/tex]
Then, substituting (1) in (3):
[tex]\frac{2^{2(0.5(2+b))}}{2^{b}}[/tex] (4)
Since we have exponents with the same base, we can do the following:
[tex]\frac{2^{2+b}}{2^{b}}=2^{2+b} 2^{-b}[/tex] (5)
Finally:
[tex]2^{2+b} 2^{-b}=2^{2+b-b}=2^{2}=4[/tex] (6)
Hence:
[tex]\frac{4^{0.5 a}}{2^{b}}=4[/tex]
Answer:
4
Step-by-step explanation:
What is the area of the triangle image above^ ASAP
Solve the inequality 3(4-6)+ 2≥2(-t+3)+4
Answer:
I need the work please
Step-by-step explanation:
I have 100 pennies in a box. 20 of the pennies were minted in the 1990s, 20 were minted in the 1980s, 40 were minted before the 1980s and the rest were minted in this century.
What is the probability of choosing a penny that was minted in this century?
Answer:
20 pennies
Step-by-step explanation:
20+20+40=80
100-80=20%
Answer:
40%
Step-by-step explanation:
Will give brainlyest
Two lines, A and B, are represented by the equations given below:
Line A: x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There is no solution.
It is (6, 4).
It is (4, 6).
Answer:
There are no solutions.
Step-by-step explanation:
If x + y equals 6, x + y cannot equal 4 (and vice versa) no matter what values are plugged in. Therefore, there are no solutions.
PLEASE HELP I NEED IT!!!
Month Sales
June $15,872.56
July $15,692.98
August $18,991.21
September $18,099.99
October $16,225.74
Using the Data from the table, list the monthly sales in ascending order by month.
Question 2 options:
July, June, September, October, August
August, July, June, September, October
August, October, September, June, July
July, June, October, September, August
Answer:
This is pretty easy:July, June, October, September, August.
Step-by-step explanation:
All you have to do is look at the least to greatest numbers:)!
SimpleMathmatics.org -SmartieSchool
solve the equation by completing the sqaure. if necessary round to the nearest hundreth x^2+4x=1
Answer:
x = ± √ 5 − 2
Step-by-step explanation:
At a basketball game, a vender sold a combined total of 208 sodas and hot dogs. The number of sodas sold was three times the number of hot
dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
Answer:
Soda- 156
Hot Dogs- 52
Step-by-step explanation:
Final answer:
The vendor sold 156 sodas and 52 hot dogs at the basketball game. This was determined by setting up a system of equations using the total number of items sold and the ratio of sodas to hot dogs, then solving for each.
Explanation:
To find the number of sodas and hot dogs sold at the basketball game, we can set up a system of equations based on the information provided:
Let S represent the number of sodas sold.
Let H represent the number of hot dogs sold.
The problem states two key pieces of information:
The total number of sodas and hot dogs sold is 208: S + H = 208.
The number of sodas sold was three times the number of hot dogs sold: S = 3H.
We can substitute the second equation into the first to solve for H:
3H + H = 208
4H = 208
H = 208 / 4
H = 52
Now that we have the number of hot dogs sold (52), we can find the number of sodas sold:
S = 3H
S = 3 \\( 52 \)
S = 156
The vendor sold 156 sodas and 52 hot dogs.
Which correctly describes the two transformations that where used to create the image on the graph?
Answer:
A. Reflection over the y-axis and rotation 90° counterclockwise
Answer:
The answer is A (:
Step-by-step explanation:
Ted and Meg have each drawn a line on the scatter plot shown below:
Which line best represents the line of best fit?
Line P, because it is closest to most data points
Line P, because it shows a positive association
Line R, because it is closest to most data points
Line R, because it shows a negative association
Answer:
A.)Line P, because it is closest to most data points
Step-by-step explanation:
The line of best fit is a line which best represents the data and the data points are closely related to it.
It is also known as a trend line.
The line of best fit may pass through, some , none or all of the data points.
Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.
Hence, by looking at the scatter plot we see that all the data points lie above Line R.
Hence, the Line R will not be a line of best fit.
But all the data points lie close to the line P , hence it act as a line of best fit.
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Answer:
Line P, because it is closest to most data points
Step-by-step explanation:
When humans urbanize an area, what other impact will they end up having as well?
Answer: When humans urbanize an area they
Step-by-step explanation: I think this because before people urbanized the place it was probably like a rural place or suburban. When you urbanize a place you might be taking a person or an animals homeland away and that can be a bad impact on them.
Look at the inequality 5x+1 >_35
Answer:
x>_6.8
Step-by-step explanation:
.
(9 – 6i) × m = 9 – 6i
What is m?
0
1
9 + 6i
-9 + 6i
To solve for m in the equation (9 – 6i) × m = 9 – 6i, both sides are divided by (9 – 6i), yielding m = 1.
Explanation:The equation given is (9 – 6i) × m = 9 – 6i. To find the value of m, we can divide both sides of the equation by (9 – 6i). Doing so, we get:
m = (9 – 6i) / (9 – 6i) = 1.
Therefore, the value of m is 1.
On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question, what is the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c?
Answer:
r=6.5c-20
Step-by-step explanation:
The raw score is given by
r=c*6-0.5(40-c)
Taking the number of correct answers as c
The incorrect answers will be 40-c
Since each incorrect answer deducts 0.5 points. Then the deducted points will be 0.5(40-c)=20-0.5c
Since correct answers, c gives 6 points each then the number of points will be 6c
Now, the raw score will be
r=6c-(20-0.5c)
Opening the brackets, the signs change hence
r=6c-20+0.5c
r=6.5c-20
The formula that describes the student's raw score based on the number of correct answers is; r = 6.5c - 20
How to solve algebra word problems?
We are told that they gain 6 points for each correct answer and lose 0.5 points for each incorrect answer. Thus, the formula for the raw score is;
The raw score is given by
r = 6c - 0.5(40 - c)
where;
c is the number of correct answers
40 - c as number of incorrect answers
We are told that each incorrect answer deducts 0.5 points.
Thus, the deducted points = 0.5(40 - c) = 20 - 0.5c
We are told that each correct answers, c gives 6 points each. Thus, the raw score will be;
r = 6c - (20 - 0.5c)
⇒ r = 6c - 20 + 0.5c
r = 6.5c - 20
Read more about algebra word problems at; https://brainly.com/question/13818690
What is the BEST deal? 1. 60 feet of rope for $8.00 or 200 feet of rope for $30.00 2. 75 pencils for $5.75 or 100 pencils for $7.50 3. 100 thumb tacks for $3.00 or 500 thumb tacks for $16.00 4. 25,000 ball bearings for $275.00 or 60,000 ball bearings for $680.00 5. 60 apples for $43.00 or 90 apples for $63.00
To determine the best deal, divide the total cost by the total quantity for each option to find the cost per unit. Option 4, 25000 ball bearings for $275.00, offers the best deal with the lowest cost per unit.
Explanation:The best deal can be determined by comparing the cost per unit of each item. To do this, divide the total cost by the total quantity for each option.
For option 1, the cost per foot of rope is $8.00/60 ft = $0.133/ftFor option 2, the cost per pencil is $5.75/75 pencils = $0.077/pencilFor option 3, the cost per thumb tack is $3.00/100 thumb tacks = $0.03/thumb tackFor option 4, the cost per ball bearing is $275.00/25000 ball bearings = $0.011/ball bearingFor option 5, the cost per apple is $43.00/60 apples = $0.717/appleBased on these calculations, option 4, 25000 ball bearings for $275.00 offers the best deal with the lowest cost per unit.
Learn more about best deal here:https://brainly.com/question/11102934
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What is a system of equations?
Answer and Step-by-step explanation:
A system of equations is a group of equations that need to be manipulated in some way that will figure out the values of the variables.
The most common system of equations seen is a system of linear equations, which means that the degree of the variables is no more than 1. These can be solved using elimination, substitution, or even graphing, if applicable.
Hope this helps!
Answer:
A system of equations is 2 or more equations that need to be solved. When you solve a system of equations, the answer is where the equations intersect on a graph. Sometimes there is 2 solutions (equations intersect twice), 1 solution (equations intersect once), no solution (equations don't intersect), or infinite solutions ( equations are the same).
They are usually solved using substitution, elimination, or simply looking at a graph to see where the lines intersect.
Some examples:
2x+3y=15
x-3y=3
y=x^2+1
2x-y= -4
The quotient of −273−21 is
Answer:
-294
Step-by-step explanation:
-273 ÷ -21 = 13
hope this helps
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=10°, and LM = 86 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
495.3 feet
Step-by-step explanation:
delta math i got the problem wrong and it gave me the right answer
Final answer:
To find the length of KL in ΔKLM with a 90° angle at M and a 10° angle at K, we use the sine function with the given hypotenuse length of 86 feet. Calculating sin(10°) times 86 gives approximately 14.9296 feet, which rounds to 14.9 feet.
Explanation:
To find the length of KL to the nearest tenth of a foot in ΔKLM, where ∠M equals 90°, ∠K equals 10°, and LM is 86 feet, we can use trigonometry.
Since LM is the hypotenuse and we want to find KL, which is the side opposite ∠K, we will use the sine function:
sin(∠K) = opposite/hypotenusesin(10°) = KL/86 feetKL = 86 feet × sin(10°)Calculating this we get:
KL = 86 feet × 0.1736 (approximate value of sin(10°))KL ≈ 14.9296 feetKL ≈ 14.9 feet (rounded to the nearest tenth)This provides us with the length of KL in the triangle.
8x-3=3x+17
Solve for x
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
To solve, we need to isolate the variable, x by getting all the numbers to one sides and the variables to the other
8x-3=3x+17
Subtract 3x from both sides
8x-3x-3=3x-3x+17
5x-3=17
Add 3 to both sides
5x-3+3=17+3
5x=20
Divide both sides by 5
5x/5=20/5
x=4
The following are lengths of snakes: 12 1/2, 16 1/2, 17, 24, 16, 16, 13, 12 1/2, 18 1/2, 17 1/2, 17, 16. Which is the greatest snake length? What is the least snake length?
Answer:
18 1/2 is the greatest snake length. 12 1/2 is the least.
Step-by-step explanation:
find the value of y when x=3: y= 2x +1
Answer: 7
Step-by-step explanation:
x=3 y=2x+1
Y= 2(3)+1
Answer:
y=7
Step-by-step explanation:
We want to find y when x equals 3, so we can substitute 3 in for x
y=2x+1
y=2(3)+1
Multiply
y=6+1
Add
y=7
1.lA right triangle ABC is shown. What is cos A?
Answer:
cos A = 8/17
Step-by-step explanation:
For a right triangle
cos theta = adj side/ hypotenuse
cos A = 8/17
Please help need answers asap!!
Answer:
1. 2
Step-by-step explanation:
1. cross multiply then simplify
Answer to problem 1:
x=2
Reasoning:
1) Simplify 10/20 to 1/2
2) Multiply the numerator and denominator by 2 to get 2/4
Answer to problem 4:
1 in: 18 in
Reasoning:
1) Convert 15 feet to inches
15*12=180
2) Use a ratio of 10 inches to 180 in and simplify it to 1:18
Answer to problem 5:
m = 38.44
1) Use the technique "Cross multiplication" and make the following equation
8.45*7.5=3.6m
2) 8.45*7.5=138.375
3) 138.375=3.6m and divide 3.6 from both sides of the equation,
4) You get 38.4375, and round up to the nearest hundredth of 38.44
Answer to problem 6:
92°
When 2 triangles are similar, their lengths are needed to multiplied by a scale factor but, the angles remain the same.
Sorry, I didn't have enough time to answer the other question...
Hope this helped...
2x+5=3x-2
pleaaseee help
Step-by-step explanation:
2x + 5 = 3x - 2
3x - 2x = 5 + 2
x = 7
Therefore x = 7
Answer:
X=7
Step-by-step explanation:
2X+ 5=3x-2
5=x-2
7=x
2. Eric had $197 in his savings account before he was paid his weekly salary. His current
savings balance is $429. If Eric deposits all of his earnings, then how much money does he
earn each week? Justify your answer.
a. 197 + 429 = n
b. 197 + n = 429
c. 197n = 429
d. None of the above.
Answer:
I think its b.
Step-by-step explanation: If he already has 197 then he would need to add an amount of money in this case n=232 so if you do 197 plus 232 you would get 429. Hope this helps
Does this graph have a maximum
or minimum value?
Answer:
can you provide a picture or an equation?
Step-by-step explanation:
Answer:
If the vertex is at the top of the graph it is a maximum and if it is at the bottom it is a minimum
Step-by-step explanation:
What is the median of Restaurant A's service ratings?
1
2
3
4
5
Answer:
3
Step-by-step explanation:
write them out least to greatest- 1 2 3 4 5
then mark out one at a time from front and back- 1 2 3 4 5
then you get one number and that number is 3
Answer:
3
Step-by-step explanation:
Process for finding median:
1. Line the numbers in order from least to greatest.
2. Find the middle number --> it is the median.
3. If there are two middle numbers, find their average. In other words, add the two numbers together and divide your answer by 2.
Hope this helps!