Answer:
{HH, HT, TH, TT}
Step-by-step explanation:
The set of all possible outcomes in tossing a coin twice is;
{HH, HT, TH, TT}
In the first toss the coin may land Heads. In the second toss the coin may land Heads or Tails. This can be represented as;
HH, HT
Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.
In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;
TH, TT
Tails in the first toss followed by a Head in the second toss. Tails in the first and second tosses.
Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;
{HH, HT, TH, TT}
Given: circle k(O), m LM = 164°, m WK = 68°, m∠MLK = 65° . Find: m∠LMW
Answer:
The measure of angle LMW is
[tex]m\angle LMW=67\°[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc MW
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK][/tex]
substitute the given values
[tex]65\°=\frac{1}{2}[arc\ MW+68\°]\\ 130\°=[arc\ MW+68\°]\\ arc\ MW=130\°-68\°=62\°[/tex]
step 2
Find the measure of arc LK
we know that
[tex]arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°[/tex] -----> by complete circle
substitute the given values
[tex]164\°+62\°+68\°+arc\ LK=360\°\\ 294\°+arc\ LK=360\°\\ arc\ LK=360\°-294\°=66\°[/tex]
step 3
Find the measure of angle LMW
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK][/tex]
substitute the given values
[tex]m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°[/tex]
Probability question. Please answer with work attached.
Answer:
B. (0.61)
Step-by-step explanation:
Well, first I created venn diagram to help separate my work, then I subtracted .22 from each "probability sections" then I added them up to get .61
Work explains a lot.
Hope it helped. :)
Pocket contains 15 white eight pink three yellow and 10 blue golf balls. A ball is chosen at random, not replaced then another is chosen at random. What is the probability of blue, then pink
Answer:
4/63
Step-by-step explanation:
The probability of first choosing a blue golf ball and then a pink golf ball, without replacement, from the pocket is 4/63.
The question asks for the probability of selecting a blue golf ball and then a pink golf ball from a pocket that contains 15 white, 8 pink, 3 yellow, and 10 blue golf balls, without replacement. To solve this, we need to find the probabilities of each event happening sequentially and then multiply them.
Firstly, the probability of choosing a blue ball initially is 10 out of the total number of balls (15 white + 8 pink + 3 yellow + 10 blue), which gives us 36.
Therefore, the probability is 10/36 or 5/18. Once a blue ball has been chosen, it is not replaced, so the total count of balls is reduced by one, making it 35, and the count of blue balls is now 9.
Secondly, with the blue ball removed, we now calculate the probability of choosing a pink ball. There would still be 8 pink balls, so the probability of now choosing a pink ball is 8 out of the remaining 35 balls. This gives us the probability of 8/35.
To find the overall probability of both events happening in sequence (first a blue ball, then a pink ball), we multiply the individual probabilities: (5/18) × (8/35) = 40/630, which can be simplified to 4/63.
what point is a solution?
(3,2) is the solution
Answer:(3,2) is the solution.
Step-by-step explanation:
Help please?????????
Answer:
About 4 times the MAD
Step-by-step explanation:
If you go in from right to left moving you finger one dot at a time then the center of the Data Set A is 42.5 beacuse you add the two numbers together (this is because you have an even number of dots) and the center of Data Set B is 20. The MAD for set A is about 5.83 the MAD for set B is about 5.83 also. Now you have to figure out the means. The mean of data set A is 42.5, the mean for data set B is 20. The difference in the means is 22.5 and if you divide the difference of the means by the MAD you will get 3.859348199, or ≈4 times the MAD
The difference of the mean is About 4 times the MAD.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations.
Data Set A is 42.5 beacuse we add the two numbers together (this is because you have an even number of dots) and the center of Data Set B is 20.
The MAD for set A is about 5.83 the MAD for set B is about 5.83 also.
Now we have to figure out the means.
The mean of data set A is 42.5, the mean for data set B is 20.
The difference in the means is 22.5 and if we divide the difference of the means by the MAD will get
3.859348199, or ≈4 times the MAD
So, the difference in the means is about 4 times the MAD
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help needed asap on this
Answer:
option D is correct.
Step-by-step explanation:
The real number y=a is the root of the polynomial f(y) if and only if
f(a) =0
So, when we see a graph of the polynomial, the x-intercepts are the real roots of the graph f(y)
We can find x-intercept of graph, by looking at the graph and finding out points that touch the x-axis on the graph.
In the graph given the points -6 and 2 touch the x-axis of the graph, So these are the real roots of the graph.
So, option D is correct.
What is the area of this trapezoid?
A. 14 m2
B. 18 m2
C. 21 m2
D. 35 m2
Answer:
b
Step-by-step explanation:
yes
Answer:
B
Step-by-step explanation:
If we draw another vertical line on the other side, we can split this into a rectangle and two triangles. The width of the rectangle is 5 m, so the base of the triangle on the left is 1 m, just like the triangle on the right.
The area is therefore the sum of the areas of each shape:
A = Arectangle + 2Atriangle
A = (5 m)(3 m) + 2(½ (1 m)(3 m))
A = 18 m²
Which of the following equations has solutions of 3 ± Square root 5 ?
(x - 5)2 = 3
(x - 3)2 = 5
(x + 3)2 = 5
(x + 5)2 = 3
Answer:
I think it is C. I am not sure
The correct equation that has solutions of 3 ± √5 is (x - 3)² = 5.
The solutions of the equation are given as 3 ± √5 To find an equation that has these solutions, we would look for an equation in the form (x - a)^2 = b, where the solutions to x can be found using the square root property x = √b + a or x = -√b + a. In this case, we are looking for an equation where a is 3 and b is 5 to fit the solutions provided.
Examining the options provided:
(x - 5)² = 3 does not meet the criteria(x - 3)² = 5 is the correct equation(x + 3)² = 5 does not meet the criteria(x + 5)² = 3 does not meet the criteriaTherefore, the equation with solutions of 3 ± √5 is (x - 3)² = 5.
Consider the gender and class make-up of students at a large university by gender and status as given in the table.
What is (Female | Undergraduate)? Give your answer to three decimal places.
Answer:
0.589
Step-by-step explanation:
THis is a conditional probability question. Let's look at the formula first:
P (A | B) = P(A∩B)/P(B)
" | " means "given that".
So, it means, the "Probabilty A given that B is equal to Probability A intersection B divided by probability of B."
So we want to know P (Female | Undergraduate ). This in formula is:
P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)
Now,
P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,
P (Female ∩ Undergraduate) = 0.43
Also,
P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73
plugging into the formula we get:
P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)
=0.43/0.73 = 0.589
this is the answer.
1 a. A van moves with a
constant speed of 118
km/h, How far can it
travel in 2 hours
15 minutes?
Show your working out
As we know distance equals speed multiplied by time
118*2.25=265.5
Therefore the car can travel 265.5km in 2 hours 15 minutes with the speed of 118km/h
The van can travel approximately 265.5 kilometers in 2 hours and 15 minutes.
To find out how far the van can travel in 2 hours and 15 minutes, we need to use the formula:
Distance = Speed × Time
Given:
- Speed of the van = 118 km/h
- Time = 2 hours 15 minutes
First, let's convert the time to hours:
2 hours 15 minutes = 2 + 15/60 hours
= 2.25 hours
Now, we can use the formula to calculate the distance:
Distance = 118 km/h × 2.25 hours
Distance ≈ 265.5 km
Therefore, the van can travel approximately 265.5 kilometers in 2 hours 15 minutes.
6. A new car has an MSRP of $29,999, and it comes with a premium package priced at
$2500, a navigation package priced at $500, and a destination charge of $700. What is the
sticker price of this car?
Answer:
it is 33,699
Step-by-step explanation:
you add the MSRP, then the other charges
The sticker price of the car is $33,699.
Explanation:The sticker price of the car can be calculated by adding the MSRP, premium package, navigation package, and destination charge. The MSRP is $29,999, the premium package is $2500, the navigation package is $500, and the destination charge is $700.
The sticker price is calculated as follows:
Add the MSRP and the premium package: $29,999 + $2500 = $32,499Add the navigation package: $32,499 + $500 = $32,999Add the destination charge: $32,999 + $700 = $33,699Therefore, the sticker price of the car is $33,699.
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What is the lateral area of the cone to the nearest whole number. The figure is not drawn to scale 40M 60M
Answer:
48984 m^2
Step-by-step explanation:
The height(h) of cone is given by: 50 m.
Diameter of cone is: 240 m.
Also radius(r) of cone is:240/2=120 m.
The lateral surface(S) area is given by:
The lateral area of the cone comes out to be 48984 m^2.
What is lateral area?
The formula of the lateral area of cone is given by, area = pi×r×L
The amount of territory occupied by the curved surface area of a cone is known as the lateral surface area.
The lateral surface area of a cone is also in the three-dimensional plane because it is a three-dimensional form. The shape of a cone is created by stacking and rotating several triangles around an axis. Since a cone has a flat base so it has curved surafce area as well as total surface area. A cone's lateral area is measured in square units, such as cm2, m2, in2, and so on.
Given,
Height of cone : 50m
Diameter of cone: 240m
so,it's radius will be 120m
L = [tex]\sqrt{r^{2}+h^{2}}[/tex]
L = [tex]\sqrt{120^{2} +50^{2} }[/tex]
L = 130
since,Area = pi×r×L
=3.14×120×130
=48984m^2
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A pyramid has a square base that is 9 inches on a side.If the height of the pyramid is 8 inches, then its volume is 24 cubic inches.
Answer:
The statement is false
The volume of the square pyramid is [tex]V=216\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the square pyramid is equal to
[tex]V=\frac{1}{3}b^{2}h[/tex]
we have
[tex]b=9\ in[/tex]
[tex]h=8\ in[/tex]
substitute
[tex]V=\frac{1}{3}(9)^{2}(8)[/tex]
[tex]V=216\ in^{3}[/tex]
which number line shows the solution for
Answer:
It's the last choice.
Step-by-step explanation:
| n | ≤ 2 represents the distance between n and 0 that is less than or equal to 2. The dots on the 2 and -2 are black because the equal sign is part of the inequality.
Note the vertical lines about the n mean the absolute value of n - the positive distance between n and 0, which has a maximum of 2 either side of the 0.
The correct number line shows the solution for |n| ≤ 2 is shown in Option D.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Inequality is,
⇒ | n | ≤ 2
Now, We can simplify as;
⇒ | n | ≤ 2
This gives,
⇒ n ≤ 2
⇒ - n ≤ 2
⇒ n ≥ - 2
Hence, The solution is belong in [- 2, 2].
Which shown in Option D.
So, The correct number line shows the solution for |n| ≤ 2 is shown in Option D.
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write a compound interest function to model the following situation. then find tbe balance after the given number of years.
$5,400 invested at a rate of 2.4%, compounded monthly; 5 years
Answer:
[tex]\$6,087.75[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=5\ years\\ P=\$5,400\\ r=0.024\\n=12[/tex]
substitute in the formula above
[tex]A=\$5,400(1+\frac{0.024}{12})^{12*5}[/tex]
[tex]A=\$5,400(1.002)^{60}=\$6,087.75[/tex]
ANSWER FOR BRAINLIEST AND 72 POINTS
If a normal distribution has a mean of 132 and a standard deviation of 20, what is the value that has a z-score of 2.4?
A. 168
B. 180
C. 144
D. 204
Answer:
-6.42
Step-by-step explanation:
looked it up swwaa
Zoo tickets for 5 people cost a total of $41. Write an equation that can be used to determine the cost, c in dollars of each ticket
Answer:
Step-by-step explanation:
5t=41
The equation to determine the cost, c, of each zoo ticket when five zoo tickets cost a total of $41 is 'c = $41 / 5'.
Explanation:To find the cost of each zoo ticket, we need to divide the total cost of all the tickets by the number of people. Given that 5 people's zoo tickets cost a total of $41, we can set up the equation for this situation like this:
c = $41 / 5
Here, 'c' represents the cost of each zoo ticket in dollars. The equation suggests that when you divide the total cost ($41) by the total number of tickets (5), you get the cost of each individual ticket (c).
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The graph given above shows the following function
y= cos(x)
What is the amplitude of the function?
a. 2
b. pi
c. 2pi
d. 1
Answer:
D,1
Step-by-step explanation:
look at the wavelengths
Answer: For plato user the correct answer is C
Step-by-step explanation:
Just took the test and got it correct
solve the equation 2y²=13y
Step-by-step explanation:
2y² = 13y
2y² − 13y = 0
y (2y − 13) = 0
y = 0, y = 13/2
It can be tempting to divide by y at the beginning, but if you do, you lose one of the solutions. Instead, move everything to one side and factor.
The solutions to the equation 2y²=13y are y = 0 and y = 6.5. This is achieved by setting up the equation to zero, factoring it out and applying the zero product property.
Explanation:To solve the provided equation, 2y²=13y, you'll need to set the equation to zero by moving all the terms to one side: 2y² - 13y = 0. This becomes a quadratic equation in the form ax² + bx + c = 0.
Factor the equation by taking out a common factor of 'y', yielding y(2y - 13) = 0. According to the zero product property, if a product is zero then at least one of the factors must be zero. This means that y = 0 or 2y - 13 = 0. Solving the second equation gives y = 6.5.
So, the solutions of the equation are y = 0 and y = 6.5.
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What is the solution to -41-2x + 61 = -24?
x = 0
x = 0 or x = -6
x = 0 or x = 6
no solution
Answer:
No solution
Step-by-step explanation:
Anyone of the values of x satisfies the equation. We can see it even calculating with basic math. If x is 0, then -41 -2(0) + 61 = -24
-41 +61 =-24
20 = -24 is incorrect
If x is -6, then -41 -2(-6) =-24
-41+12=-24
-29 = -24 incorrect.
If x is 6, then -41-2(6) + 61 = -24
-41-12+61 = -24
-53 + 61 = -24
8 = -24 is incorrect.
So it has no solution.
Archie used 1/3 of a jar of tomato sauce to 3/8 make of a pizza. How
many jars of tomato sauce will Archie need to make one whole pizza?
For this case we make a rule of three:
[tex]\frac {1} {3}[/tex] jar ---------------> [tex]\frac {3} {8}[/tex] pizza
x -----------------------------------------> 1 pizza
Where the variable "x" represents the amount of sauce jars to make a pizza.
[tex]x = \frac {1 * \frac {1} {3}} {\frac {3} {8}}\\x = \frac {8} {9}[/tex]
So, you need [tex]\frac {8} {9}[/tex] jars of sauce to make a pizza.
Answer:
[tex]\frac {8} {9}[/tex]
Answer:
Final answer is [tex]\frac{8}{9}[/tex] of a jar.
Step-by-step explanation:
Given that Archie used 1/3 of a jar of tomato sauce to make 3/8 of a pizza. Now we need to find about how many jars of tomato sauce will Archie need to make one whole pizza.
We can setup ratio of sauce and pizza to easily solve that problem.
Let amount of sauce needed to make 1 pizza = x
then ratio will be :
[tex]\frac{sauce}{pizza}=\frac{x}{1}=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]
[tex]\frac{x}{1}=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]
[tex]x=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]
[tex]x=\frac{1}{3}\cdot\frac{8}{3}[/tex]
[tex]x=\frac{8}{9}[/tex]
Hence final answer is [tex]\frac{8}{9}[/tex] of a jar.
PLEASE HELP! the plot and table show the number of people, p, who have bought tickets to a concert ,t, minutes after they went on sale. complete the equation to show the relationship between p and t
The relationship is that (P) and (T) shows how many people come in that amount of time. Sorry I dont if that will work.
The relationship between the number of people (p) and time in hours (t) is represented by the linear equation p = 25t, where m = 25 is the slope, and b = 0 is the y-intercept.
To determine the relationship between the number of people (p) who bought tickets and the time in hours (t), we can use a linear equation of the form p = mt + b, where m is the slope and b is the y-intercept.
Looking at the table, we can observe that for every 1-hour increase in time, the number of people increases by 25. This indicates that the slope (m) is 25. To find the y-intercept (b), we can use the initial point (0, 0) from the table.
Substitute these values into the equation: 0 = m(0) + b.
Solving for b, we get b = 0.
Therefore, the equation describing the relationship is p = 25t, where p is the number of people and t is the time in hours.
Step-by-step solution:
1. Identify the slope (m): From the table, the number of people increases by 25 for each 1-hour increase in time, so m = 25.
2. Find the y-intercept (b): Use the initial point (0, 0) in the equation 0 = m(0) + b to find that b = 0.
3. Write the equation: The relationship is p = 25t, where p is the number of people and t is the time in hours.
what is the median of the following string of values 16, 95, 3, 37, 97, 13, 27,42,64,14
Answer:
32
Step-by-step explanation:
put the numbers in order from less to greatest
3,13,14,16,27,37,42,64,95,97
the middle numbers are 27 and 37
27+37 is 64
64 divided by 2 is 32
First put the numbers in order from least to greatest
3, 13, 14, 16, 27, 37, 42, 64, 95, 97
Median means middle so find the middle number by deleting the least and greatest number in each "layer"
3, 13, 14, 16, 27, 37, 42, 64, 95, 97
13, 14, 16, 27, 37, 42, 64, 95
14, 16, 27, 37, 42, 64
16, 27, 37, 42
27, 37
You have two numbers left. To find the middle take the mean of these two numbers, by adding them together then dividing the sum by two
27 + 37 = 64
64 / 2 = 32
32 is the median!!!
Hope this helped!
Which word describes an angle with a measure of 98"?
A) Obtuse
B) Right
C)Acute
D) Complementary
Answer:
A) Obtuse.
Step-by-step explanation:
Angles of value between 90 and 180 degrees are called obtuse.
Answer:
obtuse
Step-by-step explanation:
because an obtuse angle is any angle from 91°-180°
What is the area of trapezoid?
Answer:
141.12 cm^2
Step-by-step explanation:
A = 1/2 (b1+b2)h where b1 = 10.2, b2 = 12.2 and h = 12.6
so
A = 1/2(10.2 + 12.2) * (12.6)
A = 1/2(22.4)(12.6)
A = 141.12 cm^2
Answer:
A≈141.12
A=a+b/2(h)
What is the reciprocal of (22z)/(11x)?
Hello!! The answer is 11x/22z
Your Welcome
11x/22z is the answer because the reciprocal just means you flip the fraction so the top is on on the bottom and vise versa
Which of the following equations is a constant function? y = x y = 5 x = 5
Answer:
Second Option
[tex]y = 5[/tex]
Step-by-step explanation:
A constant function is one for which the range does not change regardless of the value of the domain.
[tex]f (x_1) = f (x_2) = f (x_3) = m[/tex]
Where m is a constant.
The constant functions are horizontal lines parallel to the axis of the x
Note that
[tex]y = x[/tex] is not a constant function because the value of y changes when x changes.
x = 1, y = 1
x = 2 y = 2
[tex]x = 5[/tex] is not a constant function because the range of the function is not constant. [tex]x = 5[/tex] is a vertical line
[tex]y = 5[/tex] is a constant function, since for any of the value of x, the value of y will always be 5
Answer:
y=5
Step-by-step explanation:
A circle is the collection of points in a plane that are the same distance from a given point in the plane. true or false
true
any given point in a circle is equal distance from the center
Answer: TRUE.
Step-by-step explanation:
It knows that the distance "d" between any two points is equal to [tex]\sqrt{(x-x_0)^2-(y-y_0)^2}[/tex].
In a circle the distance between a point that belongs to the circumference and the center ([tex]x_0,y_0[/tex]) is always the same. Then:
[tex]\sqrt{(x-x_0)^2-(y-y_0)^2}[/tex] is always equal to a constant called "r".
This is:
[tex]\sqrt{(x-x_0)^2-(y-y_0)^2}=r[/tex]
Square both sides of the equality:
[tex](\sqrt{(x-x_0)^2-(y-y_0)^2})^2=r^2[/tex]
[tex](x-x_0)^2-(y-y_0)^2=r^2[/tex]
Note that we obtain the General equation of a circle.
This prove that if the distance between a given point in the plane and a collection of points is equal, then the equation of a circle is obtained.
Therefore, the statement "A circle is the collection of points in a plane that are the same distance from a given point in the plane." is true.
PLEASE HELPS
A shoe factory produces 1.81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years. (There are 1.2 × 102 months in 10 years.)
1. Estimate each coefficient: 1.81 ≈ 2
1.2 ≈ 1
2. Write the product: (2 × 104)(1 × 102)
The shoe factory would make approximately
____ ×106 pairs of shoes in 10 years.
Please fill in the blank thx!!!
Answer:
The answer is 2
Step-by-step explanation:
we know that
step 1
Estimate each coefficient:
1.81 ≈ 2
1.2 ≈ 1
step 2
Write the product:
[tex](2*10^{4})(1*10^{2})=(2*1)*10^{4+2}=2*10^{6}[/tex] pairs of shoes in 10 years.
Answer:
the answer is two 2
Step-by-step explanation:
Apply the distributive property in reverse to create am equivalent expression
1.) 16a+8b=______
2.) 25g+15=_______
3.) 24f+16=________
1. 8(2a+b)
2. 5(5g+3)
3. 8(3f+2)
The reverse of the distributive property involves factoring out the Greatest Common Factor (GCF) from the terms of the expression. For example, 16a + 8b becomes 8(2a + b), where 8 is the GCF.
The reverse of the distributive property involves factoring out the Greatest Common Factor (GCF) from each term in the expression to create an equivalent expression. Here's how it's done step-by-step:
Identify the GCF for all the terms in the expression.
Factor the GCF out of each term, which is essentially dividing each term by the GCF.
Write the factored expression in the form of the GCF multiplied by the remaining terms added together.
Applying this process:
For 16a + 8b, the GCF is 8, so the equivalent expression is 8(2a + b).
For 25g + 15, the GCF is 5, so the equivalent expression is 5(5g + 3).
For 24f + 16, the GCF is 8, so the equivalent expression is 8(3f + 2).