The probability of rolling a sum of six or two even numbers.
is P = 1/3
How to find the probability?
Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:
6*6 = 36
Now, the outcomes that given a sum of 6 are:
dice 1 dice 2.
1 5
5 1
2 4
4 2
3 3
We have 5 outcomes there.
The outcomes where both numbers are even are:
dice 1 dice 2.
2 2
2 4
4 2
4 4
4 6
6 2
6 4
6 6
We have 8 outcomes here (such that 2 are in the ones we counted before).
Then the total number of outcomes that either add to 6 or have both even numbers are:
5 + 8 - 2 = 12
Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:
P = 12/36 = 1/3
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VERY URGENT: Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school. There are 1,760 students at the school. Predict the number of students who usually walk to school.
Answer:
484 Students
Step-by-step explanation:
This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.
Help me ASAP mark you BRAINLIEST!!!!!!!!!!!
Answer:
11÷7=[tex]\frac{11}{7}[/tex]
v= 11/7
Six 6-sided dice are rolled. What is the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2? Express your answer as a common fraction.
Using it's concept, the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2 is: 10/243.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
One of the six numbers is of 1, and also one out of six is 2. The other two trials can be any of the other 4 numbers, hence the probability for the six rolls has the following format:
p = (1/6)² x (1/6)² x (4/6)²
This considers just one order, while there are six rolls, hence there are 6! possible orders, hence the probability is:
p = 6! x (1/6)² x (1/6)² x (4/6)² = 120 x 16/46656 = 10/243.
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An account with an initial balance of $4,000.00 and a 3% interest rate has a balance of $4,121.66 at the end of one year. What is the effective annual yield? A. 97.05% C. 3.00% B. 2.95% D. 3.04%
The effective annual yield is 3.04%
What is effective annual yield?
Effective annual yield is the rate of return that considers the frequency of compounding, in other words, the number of times in a year that interest on the balance is compounded.
The easiest way to determine the effective annual yield in this case is to compare the end of the year balance with the initial balance at the start of the year
effective annual yield=(ending balance/initial balance)-1
ending balance=$4,121.66
initial balance=$4000
effective annual yield=($4,121.66/$4000)-1
effective annual yield=3.04%
Another way to determine the effective annual yield is use the below formula which considers that interest rate is 3% compounded monthly, in other words, n, the frequency of compounding is 12
EAR=(1+r/n)^n-1
r=3%
n=12
EAR=(1+3%/12)^12-1
EAR=3.04%
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Write two different integers x, y, and z, and meet the following conditions. they do not all have the same sign and x-y-z=0
Two different integers are the same numbers, which have different signs.
What is integers?An integer is a number that includes negative and positive numbers, including zero. It does not include any decimal or fractional part. A few examples of integers are: -5, 0, 1, 5, 8, 97.
Given that,
x, y, and z are three integers. They follow the one condition: x-y-z = 0.
Any number in the number system that has only two signs, either + or -, So we consider that the third integer is 0 because 0 is a whole number that has neither a positive nor a negative sign.
The remaining two integers are the same numbers, but they have different signs to follow the given condition.
x-y-z = 0
x = y+z
Let y,z are the same numbers, They have different signs and x = 0.
Note: The value of x is always negative and y's value is always positive.
Example:
x = 0, y = +6, z = -6
x-y-z = 0
x = y+z
0 = +6-6
0 = 0
Hence, two different integers are the same numbers, which have different signs.
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write 3 ratios equivalent to 2:5. Show your work
Answer: 4/10, 6/15, 8/20
Hope this helps!
A horizontally thrown dart falls 5 cm before it travels 2. 5 m to hit the dart board. how fast was it thrown?
The dart player throws a dart horizontally at a speed of 24.75 m/s.
In this question,
The horizontal distance traveled by the dart, x = 2.5 m
The dart hits the board 5 cm below the height from which it was thrown.
⇒ 5 cm = 0.05 m
Let the time taken by the dart to hit the board is t.
The time taken can be calculated using the Newton's second law of motion,
[tex]y = ut+\frac{1}{2}at^{2}[/tex]
Put, u = 0, a = -g and g = 9.8
On substituting the above values, we get
⇒ [tex]-0.05 = 0-\frac{1}{2}(9.8)t^{2}[/tex]
⇒ [tex]0.05(\frac{2}{9.8}) = t^{2}[/tex]
⇒ [tex]t^{2} =0.0102[/tex]
⇒ [tex]t=\sqrt{0.0102}[/tex]
⇒ t = 0.1010 s
Now, the velocity (speed) can be calculated as
displacement = speed × time
⇒ 2.5 = speed × 0.1010
⇒ speed = [tex]\frac{2.5}{0.1010}[/tex]
⇒ speed = 24.7524 m/s
Hence we can conclude that the dart player throws a dart horizontally at a speed of 24.75 m/s.
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If the ice shop has only enough cocoa to make 4 gallons of chocolate ice cream, how many gallons of strawberry ice cream can the shop efficiently produce? 0 2 8 12
The complete questions is:
The ice cream shop needs 5 pounds of strawberries for every gallon of strawberry ice cream. the shop chooses to produce 4 gallons of chocolate ice cream. how many pounds of strawberries should the shop purchase?
Pounds of strawberry ice cream needed to be bought by the shop exists 20 pounds.
How many gallons of strawberry ice cream can the shop efficiently produce?The ice cream shop requires 5 pounds of strawberries for every gallon of strawberry ice cream and the shop chooses to make 4 gallons of ice cream,
Quantity of chocolate ice cream created in the shop = 4 gallons
Quantity of strawberries needed for each gallon of ice cream = 5 pounds
Pounds of strawberries needed to be bought by the shop = Quantity of chocolate ice cream created by the shop [tex]*[/tex] Quantity of strawberries needed for each gallon of ice cream
[tex]$= 4 * 5[/tex]
= 20 pounds.
Pounds of strawberries needed to be bought by the shop exists 20 pounds.
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Answer:
12
Step-by-step explanation:
please answer quickly
will give brainliest for right answer
Slope-Intercept Form: y = mx + b
---Where m is the slope and b is the y-intercept
Correct Answer: y = -5/4x + 2
---Option A
Hope this helps!
What is the classification of AABC with vertices A(0, 0), B(4, 3), and C(4, -3) by
its sides?
(A) equilateral
(B) isosceles
(C) scalene
(D) right
Check the picture below.
well, let's take a peek at the distances of each side.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{[ 4- 0]^2 + [ 3- 0]^2} \\\\\\ ~\hfill AB=\sqrt{25}\implies \boxed{AB=5} \\\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-3}) ~\hfill BC=\sqrt{[ 4- 4]^2 + [ -3- 3]^2} \\\\\\ ~\hfill BC=\sqrt{36}\implies \boxed{BC=6}[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) ~\hfill CA=\sqrt{[ 0- 4]^2 + [ 0- (-3)]^2} \\\\\\ ~\hfill CA=\sqrt{25}\implies \boxed{CA=5} \\\\\\ \textit{so it's an \underline{isosceles triangle}}[/tex]
Which expression is equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y > 0.
The equivalent expression of the expression is 128x^5y^6/2x^7y^5
How to determine the equivalent expression?The expression is given as:
128x^5y^6/2x^7y^5
Divide 128 by 2
64x^5y^6/x^7y^5
Apply the law of indices
64y^(6-5)/x^(7-5)
Evaluate the differences
64y/x^2
Hence, the equivalent expression of the expression is 128x^5y^6/2x^7y^5
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Consider the function f(x) = 1/3(6)*. What is the value of the growth factor of the function?
1/3
2
6
18.
Answer:
6
Step-by-step explanation:
The growth factor is the same as the base of the exponential factor.
The value of the function [tex]$f(x)=(1/3)(6)^x[/tex] growth factor exists 6.
How to estimate the value of the growth factor of thefunction [tex]$f(x)=(1/3)(6)^x[/tex]?
Given: [tex]$f(x)=(1/3)(6)^x[/tex]
For any equation [tex]$ f(x)=ab^x[/tex]
Let, 'a' exists the initial value
b exists the growth or decay factor.
When the value of b exists greater than 1 then its growth factor
when the value of b exists between 0 and 1 then it exists a decay factor
Let x exists the number of years
Given function, [tex]$ f(x)=(1/3)(6)^x[/tex]
The value of b exists 6.
So the growth factor exists 6.
Therefore, the correct answer is option c. 6.
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can someone help me please?
Answer:
the answer to the question is answer C
Answer:
Step-by-step explanation:
B is your answer
What is the slope of the line that passes through the points (2, -4) and
(5,2)? Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
Your slope is your change in y over your change in x. The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).
2 - (-4) would be your top number. To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.
Now, to find the bottom number, you subtract the x's.
5-2 which is 3.
We now have the top and the bottom number
6/3 which is the same as 2.
Can you solve and explain how to solve problems like these.
Step-by-step explanation:
there are some formulas to know about this.
I am sure you discussed this in class.
when 2 lines (originating from the same point) cut through the same circle creating some circle segments (such lines are also called Secants), then there is a relationship in the lengths of the different parts of the lines among themselves.
the outer portion of such a line multiplied with the length of the whole line to the second point it intersects the circle is the same for every secant from the same point through the same circle.
that means in our case :
7(x - 6) = 6(x - 3)
7x - 42 = 6x - 18
x = 24
and so,
EG = (x - 3) + 6 = (24 - 3) + 6 = 21 + 6 = 27
Victoria has soccer three times a week, swimming four times a week, and piano twice a week.
She spends a total of 435 minutes each week doing these three activities a week. Write an
equation that represents this situation.
Answer:
3x + 4y + 2z = 435
Step-by-step explanation:
let x represent soccer
hence playing soccer three times = 3 × x = 3x
let y represent swimming
hence swimming four times = 4 × y = 4y
let z represent piano
hence playing piano twice = 2 × z = 2z
Victoria spends a total of 435mins doing these three activities every week,
3x + 4y + 2z = 435
How do I write a comment on the data following the completion of the box plot
We can comment that the maximum value of the given data is 0.2, maximum value is 42. The interquartile range is 15 to 37, first and third quartile values are 15 and 37 respectively. It can also be inferred from the box plot that there are no outliers. The median of the given data, as shown in the box plot, is 28.
What is a box plot?
A box and whisker plot, often known as a box plot, shows a data set's five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box. The five-number summary of a box plot includes the following:
Minimum Value Maximum ValueFirst quartileThird quartileMedianIt also tells if there are any outliers in the data.
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What is the directrix of a parabola whose equation is (y+3)^3=8(x-3)?
Considering the equation of the parabola, the directrix is: x = 1.
What is the equation of a parabola given it’s vertex?The equation of an horizontal parabola, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
The directrix is at x = h - p.
For this problem, the equation is:
(y + 3)² = 8(x - 3).
The relevant coefficients for this problem are:
4p = 8 -> p = 2, h = 3.
Hence the directrix is:
x = h - p = 3 - 2 = 1.
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The equation of the parabola whose equation [tex](y + 3)^3 = 8(x - 3).[/tex], the directrix exists x = 1.
What is the equation of a parabola given its vertex?The equation of a horizontal parabola, of vertex (h, k), exists given by:
(y - k)² = 4p(x - h).
The directrix exists at x = h - p.
For this problem, the equation exists:
[tex](y + 3)^3 = 8(x - 3).[/tex]
The appropriate coefficients for this problem exist:
4p = 8
p = 8/4 = 2 and h = 3.
Hence the directrix exists:
x = h - p = 3 - 2 = 1.
Therefore, the directrix exists at x = 1.
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In circle D, which is a secant?
EF
DC
Line segment A B
Line G H
The secant of circle D is the 'line GH'. Where the line segment EF is the diameter of the circle, line segment DC is the radius, and the ray AB is the tangent of the given circle.
What is the secant of the circle?The line that passes through the circle and touches the circle at two points is said to be a secant line of the circle.
Which is the secant line in the given circle D?The given circle D has a center at D.
The radius of the circle is given by the line segment CD
The diameter (or) the longest chord of the circle is given by the line segment EF
The ray AB passes touches the circle at point B, which is called the tangent of the circle.
Where the line GH passes through the circle and touches at two points. So, this line GH is said to be the secant of the circle.
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Disclaimer: The given question is incomplete(needs a diagram). Here is the required diagram attached.
Question: In circle D, which is a secant?
a) EF
b) DC
c) Line segment AB
d) Line GH
Answer:
ray ab
Step-by-step explanation:
Small numbers that are added to avoid unfair scoring of low-probability outcomes are called ___.
Small numbers that are added to avoid unfair scoring of low-probability outcomes are called pseudocodes
How to complete the blank?From the statement, we have the following highlights:
The numbers are small numbers Adding the numbers is used to avoid unfair scoring of low-probability outcomesThe term for the statements in the above highlight is pseudocodes
This is because pseudocodes are false codes or small numbers
Hence, the small numbers that are added to avoid unfair scoring of low-probability outcomes are called pseudocodes
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What is the probability that a class of 50 has an average midterm mark that is less than 75?
The probability that a class of 50 has an average midterm mark that is less than 75 is value=0
Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.
The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.
There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.
The probability that a class of 50 has an average midterm mark that is less than 75
n = 50
P(<75)=P(Z<75)
P(Z<75−786√50)
P(Z<−3.5355)
We will look for the value in the StandardNormal able. We will get the value=0
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Adrian has a bag full of pebbles that all look about the same. he weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams. what percentage of the pebbles weigh more than 2.1 grams? round to the nearest whole percent.
89% of pebbles weigh more than 2.1 grams.
What is a percentage?
Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.Given,
Mean = 2.6
SD = 0.4
As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first.
[tex]z = \frac{x- mean}{SD}[/tex]
[tex]z = \frac{2.1 - 2.6}{0.4}[/tex]
[tex]z = -1.25[/tex]
Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1
So,
[tex]P ( x < 1.25 ) = 0.10565[/tex]
This gives us the probability of P(z<-1.25) or P(x<2.1)
To find the probability of pebbles weighing more than 2.1
[tex]P ( x > 2.1 ) = 1 - P( x < 2.1 ) = 1 - 0.10565 = 0.89435[/tex]
Converting into percentage
0.89435 × 100 = 89.435 %
Rounding off to nearest percent =89%
Therefore, 89% of pebbles weigh more than 2.1 grams.
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#14
quick answer pls :)
Answer:
35.56
Step-by-step explanation:
The table of ordered pairs (x,y) gives an exponential function.
Write an equation for the function.
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
At point (0, 8):
8 = ab⁰
a = 8
At point (1, 32):
32 = 8b
b = 4
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
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Please help me urgently
Answer:
A=36°
B=54°
C=90°
a=7
b=9.6
c=11.9
Step-by-step explanation:
Upper case A,B,C are angles. B and C are given. Calculate A because the three angles in a triangle add up to 180°. See image.
Lower case a,b, and c are side lengths.
a is given. You need to use trigonometry and a calculator to find b or c or both. Or you can find one and use the Pythagorean Theorem to find the other. See image.
The graph below shows the results of a survey of vacations. Which explanation below can be used to explain the point (1,1400)?
The option that explains the point (1, 1400) is (c) the person surveyed took a day trip
How to explain the point (1,1400)?From the graph, we have the following representations:
x ⇒ number of days on vacationy ⇒ total cost of vacationThe point (1,1400) implies that
x = 1 and y = 1400
This means that
The number of days on vacation is 1 and the total cost of vacation is 1400
Hence, the option that explains the point (1, 1400) is (c) the person surveyed took a day trip
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A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container 2/3 full. What fraction of the tea from a full teapot is needed to fill 1 entire container?
Answer:1/2 of the teapot
Step-by-step explanation: Since 1/3 of the teapot is equal to 2/3 of the container, 1/3 of the container is equal to half of 1/3 of the teapot. We know that 1/3 divided by 2 equals 1/6, so 1/6 of the teapot is equal to 1/3 of the container. There are 3-thirds in a whole so we have to multiply 1/6 by 3. This equals 3/6 or 1/2.
ratio and proportion
1. there are 24 green cars and 48 white cars in a parking lot.
i) find the ratio of green cars to white cars.
ii) what can you say about them?
Based on the given tast content; the ratio of green cars to white cars is 1 : 2 and it can be said that there are twice as many white cars as green cars.
Ratio and proportionNumber of green cars = 24Number of white cars = 48Ratio of green cars to white cars = 24 : 48
= 24 / 48
= 1 / 2
Ratio of green cars to white cars = 1 : 2
Therefore, the ratio of green cars to white cars is 1 : 2 and it can be said that there are twice as many white cars as green cars
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A man has eight shirts, four pairs of pants, and five pairs of shoes. How many different outfits are possible
Answer:
160
Step-by-step explanation:
I multiplied the amount of each item to get to the answer:
- 8 shirts
- 4 pairs of pants
- 5 pairs of shoes
8 x 4 x 5 = 32 x 5
32 x 5 = 160
hope this helps!
I need to find the Value of x
Answer:
x = 4
Step-by-step explanation:
These triangles are similar by the AA Similarity Postulate.
12 + 4 = 16
(5x - 2)/12 = 6x/16 (3x/8)
Cross multiply: 8(5x - 2) = 12(3x)
40x - 16 = 36x
4x - 16 = 0
4x = 16
x = 4
