Answer:
5/12
Step-by-step explanation:
Probability of getting either heads or tails of a coin : 1/2
Probability of getting 1,2,3,4, or 6 on a dice: 5/6
Multiply those two probabilities : 1/2 * 5/6 = 5/12
You have a 5 out of 12 chances of getting heads on a coin AND any number but a 5 on a dice.
Hope this helps!
PLEASE HELP!!
Eight U.S. coins are worth a total of 38 cents. How many of the coins are dimes?
Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes
2 dimes=20 cents
3 nickels = 15 cents
3 pennies=3 cents
Or these 8 coins = 38 cents
Order the numbers from least to greatest to least 4,-2,2,0,3
Answer:-2, 0, 2, 3, 4
Step-by-step explanation:
-2 is smaller than 0, 0 is smaller than 2, 2 is smaller than 3, and 3 is smaller than 4.
Answer:
4, 3, 2, 0, -2
Anna travelled 3 miles by bus, 5 miles by train, and the rest 7
miles by car. Find the percentage of distance travelled by her in
the train?
45.455% is the percentage of distance travelled by her in the train .
In math, what is a distance?
The length of the line segment connecting the two sites is used to measure distance between them.
The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.
Distance travelled by bus = 3 miles
Distance travelled by train = 5 miles
Distance travelled by car = 3 miles
Total distance travelled = 3 + 5 + 3 = 11 miles
the percentage of distance travelled by her in the train = 5/11 * 100
= 45.455%
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if 5x - 3 > 4 - x what is a possible value of x
Answer:
5x-3>4-x
5x+x>4+3
6x>7
6x/6>7/6
x>7/6.
Answer:
7/6 or 1 1/6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
need help with the slope
Answer:
for sure it's a negative since the slop is going down.. other than that, that's all I can help you with since I'm barely learning about that too :)
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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What is the domain of the square root function graphed below?
Anyone can help me out with this please
Answer:
the first one, the fourth one, and the last/fifth one
Step-by-step explanation:
I believe that you were technically supposed to put the variables and numbers in, but it's easier if you just use Desmos :)
Answer:
a d e
Step-by-step explanation:
everything In red is correct
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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H(x)=-(x-2)^2+16
How many seconds after being thrown will the ball hit the ground?
Answer:
three seconds
It takes three seconds for the ball to hit the ground.
Note: On Earth, it would take a little over nine seconds for the ball to fall back to the ground.
Step-by-step explanation:
Plz show steps for this
Answer: Choice D. 3 : r=3
Step-by-step explanation:
Easiest method and probably only method given the graph without knowing exact points besides an asymptote at x=-3.
Since we know there is an asymptote at x=-3, we just solve for the denominator and find r, when x=-3.
We are setting equation equal to 0, because when the denominator is 0, the graph has an asymptote at that point.
x+r=0
-3+r=0
r=3
Answer:
r=3
Step-by-step explanation:
Four part spinner is spun twice total number of possible outcomes
Using the table of integrals, solve
The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.
The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.
To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.
It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.
Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.
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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A
How do we solve function using table of integral?Using the table of integral, we say
∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx
u = x+7 ⇒ du = dx
= ∫sec (u) du
Expand the fraction by tan (u) + sec (u)
= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)
= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du
Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du
= ∫(i/v)dv
= In(v)
Undo substitution v = tan(u) + sec(u)
=In(tan(u) + sec(u))
= In(tan(x+7) + sec(x +7))
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Is r = 6 a solution to the inequality below? 10 < r
Answer:
No
Step-by-step explanation:
10 is not less than 6, so 10 < r when r=6 is not true.
find the value of x in the following parallelogram:
6x-15=5x+10=x+15
Answer:
x=6
Step-by-step explanation:
If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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Let W be the set of all vectors [ ] where b and d are real. Determine if W is a vector space and check the correct answer below. A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. B. W is a vector space because it contains the zero element. C. W is not a vector space because it does not have additive closure D. W is not a vector space because it does not have a zero element.
W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.
Let W be the set of all vectors
\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)
where b and d are real.
We can write the matrix as;
\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)
Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,
\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)
These are independent vectors.
bα + dβ ∈ W. where α, β are independent vectors.
That is WE is a span of {α, β}.
Hence, W is a vector space.
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The complete question is:
Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.
A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.
B. W is a vector space because it contains the zero element.
C. W is not a vector space because it does not have additive closure
D. W is not a vector space because it does not have a zero element.
A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in
The volume of the tower is 224 in³, which is not listed among the given options.
To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.
Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,
V = length × width × height.
In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.
V = 8 × 3.5 × 2 V
= 28 × 2 V
= 56 in³
Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³
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expand the following 8(x-3)
Answer:
8x-24
Step-by-step explanation:
First you do:
8×x which is 8x
Then you do:
8×-3 which is -24
Then you put it into 1 expression:
8x-24
Answer:
8−24
Thank You!
A truck's position relative to a Carr's position is 60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operation could be used to find the truck's relative position after 8 seconds?
In linear equation ,The truck's relative position with respect to the car is 100 feet
What is linear equation ?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.If the truck is moving at a seed "V" then its position after 8 seconds is going to be:
XT = V* t = V * 8 = 8 V
The car, which is initially 60 feet ahead of the truck and starts moving at 5 m/s faster than the truck, would have a speed given by: V + 5
And its position (relative to the truck's) would be:
XC = 60 + (V + 5) * t = 60 + (V + 5) * 8 = 60 + 40 + 8 V = 100ft + 8 V
then the position of the truck relative to that of the car would be given by the difference:
XT - XC = 8 V - (100 +8 V) = 8 V - 8 V - 100ft = -100 feet
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A bag contains 50 marbles. Some are red and the rest are black. There are 3 red marbles for every 2 black marbles. How many black marbles are in the bag?
Answer
There are 20 black marbles in the bag.
There are 30 red marbles in the bag.
Explanation
The bag contains 50 red and black marbles.
Let the number of red marbles be x
Let the number of black marbles be y
x + y = 50
Then, for every 3 red marbles, there are 2 black marbles
3 red marbles = 2 black marbles
x red marbles = y black marbles
We can write a mathematical relationship by cross multiplying
3 × y = 2 × x
3y = 2x
2x = 3y
Divide both sides by 2
(2x/2) = (3y/2)
x = 1.5y
We can now write the two equations together
x + y = 50
x = 1.5y
We can substitute for x in the first equation
x + y = 50
x = 1.5y
1.5y + y = 50
2.5y = 50
Divide both sides by 2.5
(2.5y/2.5) = (50/2.5)
y = 20 black marbles.
x + y = 50
x = 50 - y = 50 - 20 = 30 red marbles.
Hope this Helps!!!
not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
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Megan wants to build a fence around her pool. The pool is 28 feet long by 23 feet wide. The fence is to be 15 feet from the edge of the pool. How many feet of fencing will she need?
Answer:
102 feet
Step-by-step explanation:
I=28
W=23
2x28+2x23
Caucalate 2x (23+28)
102
Simplify the expressions:
−8y³ x 5y8
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
45 points, need answers ASAP!!! Match each definition with the correct vocabulary word. The variable whose values result from counting or measuring something. The variable (often x) that does not depend on that of another. The variable (often y) whose value depends on that of another. The variable that has two or more groups, but there is no intrinsic ordering to the groups.
Answer:
Step-by-step explanation:
The matches are:
The variable whose values result from counting or measuring something: quantitative variableThe variable (often x) that does not depend on that of another: independent variableThe variable (often y) whose value depends on that of another: dependent variableThe variable that has two or more groups, but there is no intrinsic ordering to the groups: nominal variableWhat is deffence between 485 and 342
What is a frequency table? Explain what is meant by the categories and frequencies. What is meant by relative frequency? What is meant by cumulative frequency?
_______________________________________
A. Categories are descriptions of data, such as ages of people living in a city or the annual salaries of professional athletes. They always represent counts or measurements. The frequency of a category is the number of data values in the category.
B. Categories are descriptions of data, such as which brand names of shoes sold in a store or audience ratings of films. They always describe qualities. The frequency of a category is the number of data values in the category.
C. Frequencies are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The category of a frequency is the number of data values in the frequency.
D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The frequency of a category is the number of data values in the category.
* I tried option C its was not it so... ._., Help!? Ty :)
The correct options for the frequency table problem is -
D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The frequency of a category is the number of data values in the category.
What is frequency table?
A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest.
They can describe qualities or represent counts or measurements.
The frequency of a category is the number of data values in the category.
A frequency table is a table that displays the categories or groups of a set of data along with their corresponding frequencies.
The categories are typically represented in the left column, and the frequencies are listed in the right column.
The categories represent the possible values or ranges of values that the data can take.
For example, in a frequency table of student grades on a test, the categories might be "A," "B," "C," "D," and "F."
The frequency of a category is the number of times that the data falls within that category.
For example, if there are 20 students in a class and 5 of them received an "A" on a test, then the frequency of the "A" category would be 5.
Relative frequency is the proportion or percentage of observations in a category relative to the total number of observations.
It is calculated by dividing the frequency of a category by the total number of observations.
For example, if there are 20 students in a class and 5 of them received an "A" on a test, then the relative frequency of the "A" category would be 5/20 = 0.25 or 25%.
Cumulative frequency is the running total of frequencies for a set of data.
For example, if the frequency of the "A" category is 5 and the frequency of the "B" category is 10, then the cumulative frequency of the "B" category would be 5 + 10 = 15.
It represents the total number of observations that fall within a category and all previous categories.
Therefore, the correct option is D.
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Please help me with this trigonometry problem!
The trigonometric ratios for the angle α formed by the terminal side and the x-axis indicates;
sin(α) = -1
cos(α) = 0
tan(α) = ∞
cot(α) = 0
sec(α) = ∞
csc(α) = -1
What are trigonometric ratios?The trigonometric ratios are equations that express the relationship between the interior angle of a right triangle and two of the sides of the triangle.
The values of the six trigonometric functions for the measure of an angle that passes through the point (0, -2) can be found using the definition of the trigonometric functions as follows;
sin(θ) = (Length of opposite side)/(Length of the hypotenuse side)
cos(θ) = (Length of adjacent side)/(Length of the hypotenuse side)
tan(θ) = (Length of opposite side)/(Length of adjacent side)
tan(θ) = sin(θ)/cos(θ)
cot(θ) = 1/tan(θ)
sec(θ) = 1/cos(θ)
csc(θ) = 1/sin(θ)
Length of the hypotenuse side = The length of the terminal side = 2
Therefore; sin(α) = -2/(2) = -1
cos(α) = 0/2 = 0
tan(α) = -1/0 = ∞
cot(α) = 0/(-1) = 0
sec(α) = 1/0 = ∞
csc(α) = 1/-1 = -1
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Carla is riding her tricycle in a race. We only know that 20 seconds after the race began, she was 55 meters from the starting line, and 30 seconds after the race began, she was 85 meters from the starting line. Find the equation of the line describing Carla’s motion during the race, where y represents her distance from the starting line in meters, and x represents the time since the race began in seconds.
The equation of a line describing Carla's motion during the race is y = 3x - 5.
What is slope?The slope is defined as the rate of change of the y-axis with respect to the x-axis.
As we are representing y as distance in meters and x as time in seconds we can form two co-ordinates for the distance Carla covered, They are
(20,55) and (30,85).
Now to form an equation of a line we have to first determine the slope(m) and y-intercept (b).
We know slope(m) = (y₂-y₁)/(x₂-x₁).
∴ Slope(m) = (85 - 55)/(30 -20).
= 30/10.
= 3.
Now, The equation of this line can be written as slope intercept form as y = mx + b.
55 = 3(20) + b.
b = -5.
So, y = 3x - 5 is our required equation of this situation represented by a line.
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Karina is creating a new passcode for her phone. Her
passcode will be 5 digits, and she can choose any number
between 0-9. Karina cannot repeat any of the numbers.
How many possible options for a passcode does she have?
Answer:
The answer is: 10^5=100'000