The probability of each of your three friends having an ace is 32%.
The probability of each of your three friends having an ace is calculated using the Binomial Probability Formula. The formula is P(x) = nCr * p^x * (1-p)^(n-x). Here, n = 13 (number of cards dealt to each person) , r = 1 (number of aces you want to calculate the probability of), p = 4/52 (probability of getting an ace from a deck of 52 cards) and x = 1 (number of aces each of your three friends have).
Therefore, the probability of each of your three friends having an ace is P(x) = 13C1 * (4/52)^1 * (48/52)^(13-1) = 0.32.
This means that the probability of each of your three friends having an ace is 32%.
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In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-intercept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form.
Answer:
-12 = 3x - 4y
Step-by-step explanation:
Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.
Using the point slope form, we get:
y - 3 = (3/4)(x - 0), or
4y - 12 = 3x, or
-12 = 3x - 4y (which is in Standard Form).
At the gift shop entrance, fans go
through security at a rate of 15 people in
25 seconds. At that rate, approximately
how many people will go through security
in 135 seconds?
45 PTS (find:m<3) don’t explain.
Answer:
142
Step-by-step explanation:
38+x = 180
x = 142
7. $5,000 was invested at a simple interest
rate. In 15 years, the account was worth
65 hundred dollars. What was the interest
rate?
A 0.2%
B 1.5%
C 2%
D 2.15%
Answer:
C. 2%
Step-by-step explanation:
(6500-5000) / 15 / 5000 x 100% = 1500 / 15 / 5000 x 100% = 100 / 5000 x 100% = 0.02 x 100% = 2%
What are the terms of expression 4x² 3xy?
The given expression , 4x2 – 3xy is having two terms which are 4x2 and –3xy.
The term 4x2 is a product of 4 and x, whereas the other term (–3xy) is a product of (–3), x and y.
When we will join these two terms using the addition operation we will get the result as 4x2 – 3xy .
The given equation is an example of an algebraic expression and they are made up of combination of constants and variables. They are joined to each other by various operations such as addition , multiplication , division and subtraction.
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How do you solve longest side?
Help please s s s what is ittyt
9514 1404 393
Answer:
point (-12, -5)slope 1/2Step-by-step explanation:
Compare the given equation to ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You find that k = -5, m = 1/2, h = -12.
The point is (h, k) = (-12, 5). The slope is m = 1/2.
HELPPPPPP PLEASEeeeeeeeeeeeeee
it is this answer x≥
3
8
I don't know the step by step solution
The scatter plot shows a hikers elevation above sea level overtime. The equation of the trend line is shown y equals 8.77x plus 686. To the nearest whole number predicted hikers elevation will be at 145 minutes
The predicted elevation of hikers at 145 minutes, based on the trend line equation, y = 8.77x + 686 is 1,958.
What is a trend line equation?A trend line equation is the equation of a linear relationship, represented as y = mx + b.
In this linear equation, y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept.
Equation:y = 8.77x + 686, where x = 145 minutes
Therefore,
y = 8.77(145) + 686
y = 1,271.65 + 686
y = 1,957.65
y = 1,958
Thus, after 145 minutes of hiking, hikers' elevation will be 1,958 units.
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At 1 P. M. the family resumes their trip, and they reach Helena at 5 P. M. The total distance from the family’s home to Helena is 485 miles. Including the 30-minute lunch stop, what is the average speed over the entire trip?
Answer: 60.6 miles per hour
Step-by-step explanation: 5 hours + 3 hours + 30 mins = 8 hours 30 mins 485 divided by 8
The total distance from the family’s home to Helena is 485 miles.
including the 30-minute lunch stop. The average speed over the entire trip is 60.6 miles per hour.
How is average speed calculated?The average speed is the ratio of total length traveled to the total time taken to travel that length.
Thus, if
[tex]d_2 = \text{final position}\\d_1 = \text{initial position}\\t_2 = \text{end time}\\t_1 = \text{start time (of travelling)}[/tex]
then,
[tex]S_a = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]
where S is the average speed of the traveler.
At 1 P. M. the family resumes their trip, and they reach Helena at 5 P. M.
The total distance from the family’s home to Helena is 485 miles.
Including the 30-minute lunch stop.
The total time taken
5 hours + 3 hours + 30 mins = 8 hours 30 mins
The average speed over the entire trip
[tex]S_a = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]
= 485/ 8
= 60.6 miles per hour
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Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
Number of tickets
0
1 2 3
24 18 12
4
6 0
What is the y-intercept of the function shown in the table, and what does it
represent?
OA. The y-intercept is (4,0). Jamie goes on 4 rides.
OB. The y-intercept is (4.0). Jamie uses 4 tickets per ride.
OC. The y-intercept is (0, 24). Jamie has 24 tickets before going on any
rides.
OD. The y-intercept is (0, 24). Jamie uses 24 tickets per ride.
Answer:
C. The y-intercept is (0,24). Jamie has 24 tickets before going on any rides.
Step-by-step explanation:
Rides Tickets Left
0 24
1 18
2 12
3 6
4 0
Let x be the number of rides taken and y be the number of tickets remaining. We can write the equation for this linear function as:
y = -6x + 24
The y-intercept, 24, tells us how many tickets Jamie has before taking any rides (x = 0). He has 24 tickets. His first ride reduces that amount by 6, so the slope of this line is -6 (Jamie uses 6 tickets per ride).
The y-intercept is written as (0,24): Jamie has 24 tickets before any ride is taken. This is option C.
Use the Zero Product Property to find the x-intercepts (roots) of the following quadratic equations. You MUST show all work for full credit!
a. `y=(2x+7)(x-13)
Answer:
x=-7/2, x=13
Step-by-step explanation:
2x+7=0
2x=-7
x=-7/2
x-13=0
x=13
Write 63 521. 769 correct to the nearest hundred
3x + 8 = 3x
x=________________
Answer:
No Solutions
Step-by-step explanation:
3x + 8 = 3x
*subtract 3x from each side*
3x - 3x = 0
3x - 3x cancels out
we're left with 8 = 0
Hence there are no solutions to the problem
Answer:
0=-8
Step-by-step explanation:
3x+8=3x
-8. -8
3x=3x-8
-3x -3x
0= -8
HURRY WILL GIVE BRAINLIEST Maria lives at the corner of 3rd Avenue and 5th Street. Pierre lives at the corner of 9th Avenue and 14th Street. They decide to leave their houses and meet at the library located 13of the distance from Maria's apartment. In their city, avenues run eastto west and streets run north to south. If each street and avenue is spaced 1 unit apart, at what intersection will Pierre and Maria meet?
Answer:
5th Avenue and 8th street
Step-by-step explanation:
The points are (3,5) and (9,14) for their locations where x= avenue and y= street.
The distance is 1/3 so it can be calculated in the following way
1/3 of ( 9-3) +3 = 1/3*6 + 3= 2+3= 5
1/3 of (14-5) + 5= 1/3*9 + 5= 3+5=8
5th Avenue and 8th street
Pierre and Maria will meet at 5th Avenue and 8th street
cheng drew the model below to represent an equation.What value of x makes the equation true?
Answer:
So what’s the answer?
Step-by-step explanation:
a group of classmates surveyed how other students travel to school the results of the survey are shown in the table at right make a circle graph showing the results of the survey using percents, bus- 90, ride bike- 30, ride in car- 75, walk- 45.
So, on solving the provided question, we can say that equation of diagonal WY is 13.03 units
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
by d=√((x2 – x1)² + (y2 – y1)²).
Coordinates of W = (-4,5) and Y = (3,-6)
= √((3 – (-4))² + (-6 – 5)²)
= √170
= 13.03 units
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Write a statement to represent the expression h-9
expression h-9 is represented as statement 'h decreased by 9'.
What is subtraction?Subtraction is an operation used to find the difference between numbers. When you have a group of objects and you take away a few objects from it, the group becomes smaller. For example, you bought 9 cupcakes for your birthday party and your friends ate 7 cupcakes. Now you are left with 2 cupcakes. This can be written in the form of a subtraction expression: 9 - 7 = 2 and is read as "nine minus seven equals two".
Given expression
h-9
Here h is a variable, 9 is constant and - is the symbol of subtraction.
the phrase "decreased by" tells us to use subtraction.
Statement for the above expression
h decreased by 9.
Hence, the statement 'h decreased by 9' represents expression h - 9.
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7.3 significant figure
Answer:
7.0
Step-by-step explanation:
from the first figure which is not a 0
7.3-7.0(1 significant figure)
The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.
Characteristics of numbers that divide by 9A number is divisible by 9 if the sum of its digits is also 9-divisible.
Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.
Using the aforementioned attribute, we can say
3 + A + A +1 = 9, 18, or 27
4 + 2A = 9, OR 18, OR 27
taking 18
2A = 18 - 4
2A = 14
A = 7
Because of this, the whole digits are 3771
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Help help help help help
Answer:
area = 254.5 m²
Step-by-step explanation:
area = πr² = (3.14159)(9²) = 254.46 m²
Check
A jeweler is thinking about using this solid silver bead in a necklace
he is designing. He only has 5.000 grams of silver. If pure silver's
mass is 10.5 grams per cubic centimeter, can he make this bead?
if so, how many grams of silver will the jeweler have left?
11 cm
10 cm
2 cm
Answer:
assalam o aalaikum
Step-by-step explanation:
I finished my homework this morning. __________________,
What are the roots of the equation 2x^2 3x 5 0?
The roots of the equation 2x² - 3x - 5 = 0 are 5/2 and -1.
The quadratic formula is a formula that can be used to find the solutions (or roots) of a quadratic equation. For a quadratic equation written in the form ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula is given by:
x = (-b ± √(b²- 4ac))/(2a)
Where x is the solution, a, b, and c are the coefficients of the equation.
Plug in the coefficients of the equation 2x² - 3x - 5 = 0 to the quadratic formula to find the roots.
x = (-b ± √(b²- 4ac))/(2a)
x = (3 ± √((-3)²- 4(2)(-5)))/(2)(2)
x = (3 ± 7)/4
x = 5/2 ; x = -1
Hence, the roots of the equation are 5/2 and -1.
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What is a 2 step equation example?
The general two steps to solve the two-step equations are:
Step 1: Addition and subtraction to isolate the variable.
Step 2: Multiplication or division to determine the value of the variable.
Now, According to the question:
Solving Two Step Equations:
Two step equations are very easy to solve. It includes just one extra step as compared to one-step equations to solve. We can solve a two-step equation by isolating the variable (usually represented by an alphabet or letter) on one side of the equation and all other values on the other side. The general two steps to solve the two-step equations are:
Step 1: Addition and subtraction to isolate the variable.
Step 2: Multiplication or division to determine the value of the variable.
Generally, two step equations are of the form ax + b = c, where a, b, c are real numbers. A few examples of two step equations are:
2x + 3 = 70.3y + 5 = 1(2/3)z - 12 = 10Learn more about Two-Step equation at:
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Alex conducted an experiment with a spinner. He recorded the frequency of each spin landing on letters A through D. Based on the data in the table, what is the experiment probability that the next spin will land on the letter B ?
What is the 3 example of quadratic equation?
The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2
The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.
Here the examples of quadratic equations in other forms is written as follows:
=> x(x - 2) = 4
Here we have to multiply and then moving the 4, then we get the quadratic expression as,
=> x² - 2x - 4 = 0
Another example like the following,
=> x(2x + 3) = 12
Here we have to multiplying and moving the 12, then we get the resulting expression as,
=> 2x² - 3x - 12 = 0
Final example for quadratic expression is written as
=> 3x(x + 8) = -2
When we multiplying and moving the -2, then we get the simplified form as
=> 3x² + 24x + 2 = 0
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symplify the following equation 28 - 3(2+4) divided by 9
Answer:
10 / 9
Step-by-step explanation:
[ 28 - 3 ( 2 + 4 ) ] / 9
= [ 28 - 3 ( 6 ) ] / 9
= [ 28 - 18 ] / 9
= 10 / 9
n 2010, the population of a small town in Alabama was 8,250 people. By 2015, the population had decreased by 10%. From 2015, to 2020, the population then increased by 15%. What was the population of the town in 2020
The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.
What is population?A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study. Thus, any selection of individuals grouped by a common feature can be said to be a population.A sample may also refer to a statistically significant portion of a population, not an entire population. For this reason, a statistical analysis of a sample must report the approximate standard deviation, or standard error, of its results from the entire population. Only an analysis of an entire population would have no standard error.Given, In 2015, the population of the town decreased by 10%, so [tex]8250 x 10/100 = 825[/tex] people left the town, bringing the population down to [tex]8250 - 825 = 7425.[/tex]
From 2015 to 2020, the population increased by 15% so [tex]7425 x 15/100 = 1113.75[/tex] people came back to the town, bringing the population to [tex]7425+1113.75 = 8538.75[/tex]
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Write mathematical sentence of X→ a.
Answer:
X tends to a or x approaches to a .
HELP TIMED! In the figure, lines a and b are parallel lines. Which of the following statements is true? Select all that apply.
Answer:
B C and E
Step-by-step explanation:
Answer:
I believe the answer is B, C, E.