Answer:
Step-by-step explanation:
Let's do this step by step!
The hyponteuse is 7.7 because it is the longest side of a 90 degree angle.
the formula for this would a^2 + b^2 = c^2
3.3^2 + b ^2 = 7.7^2
10.89 + b^2 = 59.29
- 10.89 - 10.89 subtract from both sides
b^2 = 48.4
\(\sqrt{b} = \sqrt{48.4} \\\)
b = 6.95701085237
round to the nearest tenth ---> 7
I NEED HELP ASAP PLEASE PLEASE PLEASE
Part A:
A bag has 1 red marble, 4 blue marbles, and 3 green marbles. Peter draws a marble randomly from the bag, replaces it and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a
row? Show ALL your work AND write your answer as a fraction, decimal, and percent
Part B:
A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate cookie, 3 almond cookies, and 2 butter cookies. He draws 1 cookie and then draws another cookie without
replacing the first one. Find the probability of picking 1 almond cookie followed by another almond cookie. Show ALL your work AND write your answer as a fraction, decimal, and percent
Answer:
For Part A:
The total of 1+4+3 marbles is 8 marbles
P( blue ) = blue /total = 4/8 = 1/2
He replaces it, so there are still 8 marbles in the bag
P(blue 2nd draw) = blue /total = 4/8 = 1/2
P(blue,replace, blue) = 1/2*1/2 = 1/4
For Part B:
1 choc chip, 3 almond, 2 butter. 6 total cookies.
probability of picking 1 almond on first pick : 3/6 which is 1/2
without replacement
probability of drawing another almond : 2/5
Probability of drawing 1 almond followed by another (without replacement ) is:
3/6 * 2/5 = 6/30 = 1/5
Step-by-step explanation:
Cindy had $8,255 in her pocket she spent 9000 on a new iPhone
Input data
Pocket: 8255
Iphone: 9000
Procedure
Total = Pocket - Iphone
Total = 8255 - 9000
Total = -745
Cindy would owe a total of USD 745
what is the answer to this question
Answer:
The Slope is 1/2
Step-by-step explanation:
Rise/Run
Rise 1
Run 2
Answer:
0.5 or 1/2
Step-by-step explanation:
For the slope of the line you use the equation.
M=Raise/Run which is equal to the equation y2-y1 / x2-x1
First you need to determine your points. for example (0,1) and (10,6).
which would make the equation when filled out.
6-1 / 10-0
six - one = five
10-0 = ten.
five divided by ten equals 0.5. therefore the slope would be 0.5 or 1/2.
Find the slope of -9, -6 and -8, 7
Answer:
m = 13
Step-by-step explanation:
(-9, -6) (-8,7)
The slope is rise/run or ( y2 - y1) / (x2 - x1)
We see the y increase by 13 and the x increase by 1, so the slope is
13/1 or 13
So, m = 13
the ratio from boys to girls in class is 3:4.If there are 48 girls, what is the total number of people in class? (these are for my 11 year old sister)
Answer: 64
Step-by-step explanation:
Divide: 5/8 ÷ 3/4
1/8
5/6
3/4
1 1/2
Answer:
you got this
Step-by-step explanation:
good
Answer: 0.09756
Step-by-step explanation: i used a caculator
i need help with good writing
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the amount of ingredients proportional?
Answer:
2.5 cups of milk will make his ingredients proportional.
Step-by-step explanation:
Since he used five out of the three cups of flour he was supposed to use, you can use that as the fraction: 5/3.
Since 5/3 was used on the flour, it also has to be used on the milk
To apply it to the milk, you just multiply 5/3 × 1.5 cups of milk, which gets you 2.5 cups of milk
*Multiplying by a fraction also means of.
Example: 1/2 × 4 = 2 because two is 1/2 of 4
Answer this question to get marked as brainliest!!!!
3(x+ 7) = -12
x + 7 =
X =
Answer:
x = - 11
x + 7 = -4
Step-by-step explanation:
\(3(x + 7) = - 12 \)
Multiply each term in parentheses by 3
\(3x + 3 \times 7 = - 12\)
Multiply 3 and 7
\(3x + 21 = - 12\)
Move the constant to the right side and change the sign
\(3x = - 12 - 21\)
Find the sum of negative numbers
\(3x = - 33\)
Divide both side by the same number
\(x = - 11\)
= x + 7
= -11 + 7
Add the term - 11 + 7
= -4
Hey ! mate
Answer:
x + 7 = -4x = -11Step-by-step explanation:
In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .
We are starting our solution from here :
\( \longmapsto \: 3( x + 7 ) = -12 \)
Transposing 3 to right hand side :
\( \longmapsto \: x + 7 = \frac{ - 12}{3} \)
Now , dividing -12 by 3 :
\( \longmapsto \: \blue{\boxed{x + 7 = -4}}\)
Therefore , value of x + 7 is - 4 .Now ,
\( \longmapsto \:x + 7 = - 4\)
Transposing 7 to right hand side :
\( \longmapsto \:x = - 4 - 7\)
\( \longmapsto \: \blue{ \boxed{x = - 11}}\)
Therefore , value of x is -11 .#Keep LearningWhat is the property of equality for
96=44
Answer: Substitution Property of equality
Step-by-step explanation:
Which of the relations given by the following sets of ordered pairs is not a function?
HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU
Answer:
Hi, there your answer will be C.
Step-by-step explanation:
The reason why is because X(Input) can not be repeated the same
for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function
Also, if you're having trouble with Functions and nonfunctions
REMEMBER THS
Function: X and y has to be separarte and can't have the same X
NON-FUNCTION- WHEN X REPEATS ITSELF
Hope this helps :)
the house was in the shape of an __________ , eight separate bedrooms on each side
The house was in the shape of an octagon, with eight separate bedrooms on each side.
The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.
The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.
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The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 115 182 255 419 442 461 517 739 743 789 807 865 925 984 1026 1063 1064 1165 1191 1222 1222 1252 1277 1290 1358 1369 1409 1455 1479 1519 1578 1578 1599 1604 1605 1696 1736 1799 1815 1853 1899 1926 1966
(a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution?
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: mean=1191.6, s=506.6.]
(a) Yes, a confidence interval for the true average lifetime can be calculated without assuming anything about the nature of the lifetime distribution.
(b) Using the given data, we can calculate a confidence interval with a 99% confidence level for the true average lifetime, with a mean of 1191.6 and a standard deviation of 506.6.
(a) It is possible to calculate a confidence interval for the true average lifetime without assuming any specific distribution. This can be done using methods such as the t-distribution or bootstrap resampling. These techniques do not require assumptions about the underlying distribution and provide a reliable estimate of the confidence interval.
(b) To calculate a confidence interval with a 99% confidence level for the true average lifetime, we can use the sample mean (1191.6) and the sample standard deviation (506.6). The formula for calculating the confidence interval is:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
The critical value depends on the desired confidence level and the sample size. For a 99% confidence level, the critical value can be obtained from the t-distribution table or statistical software.
The standard error is calculated as the sample standard deviation divided by the square root of the sample size.
Once we have the critical value and the standard error, we can calculate the confidence interval by adding and subtracting the product of the critical value and the standard error from the sample mean.
Interpreting the confidence interval means that we are 99% confident that the true average lifetime falls within the calculated range. In this case, the confidence interval provides a range of values within which we can expect the true average lifetime of individuals suffering from blood cancer to lie with 99% confidence.
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X - 3.5 > 6.9
Pls what is the solution to the inequality
Answer:
x > 10.4
Step-by-step explanation:
Isolate X by adding 3.5 to each side of the inequality
That leaves you with x > 6.9 + 3.5
The midpoint of overline AB is M(4, -5). If the coordinates of A are (6, -4)what are the coordinates of B?
Img attached
\(\huge\mathfrak\colorbox{white}{}\)
please help me with this
No, in the above, case, my friend is incorrect. The value of x is 36. This is solved using the knowledge of arcs.
What is the sum total of arc in a circle?Because the measure of each arc is the angle formed by that arc at the center of the circle, the total of all arc measurements that comprise that circle is 360 degrees.
Thus,
∡MB = 4x
∡NB = x
∡AM = X
∡AN = 4x (alternate angles)
Based ont he above assertion about arcs,
∡MB + ∡NB +∡AM +∡AN = 360
Hence,
4x + x + x + 4x = 360
10x = 360
x = 360/10
x = 36
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The car will use how much
gallons of gas to travel 1,155 miles
Answer: It will travel for 38.5 to 57.75 miles
Step-by-step explanation:
1) One gallon of gas will travel for at least 20-30 miles
Where 1155 miles will use 38.5 gallons or 58 gallons of gas
If its helpful please like thank you
Noah is helping to collect the entry fees at his school’s sports game. Student entry costs $2.75 each and adult entry costs $5.25 each. At the end of the game, Diego collected $281.25.
Select all equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game.
A. 281.25-525a=2.75s
B. a=53.57-2.75/5.25s
C. 281.25-5.25s=a
D. 281.25+2.75a=s
F. 281.25+5.25s=a
Answer:
A. 281.25-525a=2.75s
Step-by-step explanation:
The equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s
for every 1 litre of water used to make a medicine 600ml of sucrose and 150ml of saline solution are used. express the amount of water, sucrose and saline solution needed as a ratio in its simplest form
Answer:
water: sucrose: saline solution: 100:15:60
Step-by-step explanation:
water 1L = 1000ml
sucrose 150ml
saline solution 600ml
so, water: sucrose: saline solution = 1000L: 150L: 600L
1000:150:600
100:15:60
the proportion
find the range of the quadratic function f(x)=(x+5)^2+2
Answer:
[2, ∞)
Explanation:
Given f(x) defined below:
\(f(x)=(x+5)^2+2\)Compare the given quadratic function to the vertex form:
\(f(x)=a(x-h)^2+k\)\(f(x)=a(x-h)^2+k\)The vertex of the function, (h,k)=(-5,2)
What this means is that the minimum value of f(x) is 2.
Therefore, the range of the quadratic function is:
\([2,\infty)\)Alex rides his bike to visit two friends and returned home. Interpret the graph to answer questions about his activities.
1. How long did it take Alec to get to his friends house?
2. How long did he stay at his first friends house?
3. How long did it take alec ti ride his bike from his first friends house to his second friends house?
4. How much longer did alec stay at his first friends house than at his second friends house?
5. In which parts of the graph is alec riding his bike toward his home?
6. In which parts of the graph is alec traveling the fastest?
7. How long was alec away from his house?
The required question of the given problem are solved below.
Explain is distance vs time graph?A distance-time graph shows how far an item has gone in a given time. It is a straightforward line diagram that signifies distance versus time discoveries on the chart. Distance is plotted on the Y-pivot. Time is plotted on the X-pivot.
According to question:1) he take 20 minutes to get to his friends house.
2) he stayed 60 - 20 = 40 minutes at his first friends house.
3) he take 70 - 60 = 10 minutes to ride his bike from his first friends house to his second friends house.
4) 30 minutes, he stayed his second friend
Then
Difference = 40 - 30 = 10 minutes
So, he stay 10 minutes longer than first friend.
5) In part E, he is riding towards his home.
6) In part A of the graph he is travelling faster.
7) he went 10 kilometer away from his house.
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phyllis teaches marketing at a local college. she wants to select one freshman and one sophomore to attend a conference. if she teaches 8 freshman and 9 sophomores, how many combinations of students could be selected?
She can select one freshman and one sophomore in 72 ways.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores
Total number of possible combinations are -
C[8,1] x C[9,1]
8!/(7! x 1!) x 9!/(8! x 1!)
8 x 9
72
Therefore, she can select one freshman and one sophomore in 72 ways.
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3(5 - 2) = y
What does y =
Answer:
y=9
Step-by-step explanation:
5-2 is 3 and 3 times 3 is 9
Answer:
9=y
Step-by-step explanation:
3(5-2)=y
3(5)=15
3(-2)=-6
15-6=y
9=y
Help me understand this and what is right!!!!! Brainliest.
Answer:
the first one
Step-by-step explanation:
Think of it this way. If it needs to be greater than -11, that means there is some kind of restraint. that would be in this situation, its under a square root. if you plug in -11, it should equal 0, so it has to be x+11 under square root. The second one wouldn't work since that would make it square root of -22 and thats imaginary, same thing with all the others, when you plug in -11, the last 3 would come negative. the first one is the only one that cancels the negative and gives you 0
Answer:
4 and i cant help u understand it
Step-by-step explanation:
In this problem you will calculate the area between f(x) = 8x2 +3 and the -axis over the interval (0, 2] using a limit of right-endpoint Riemann sums: F(xk)Ax Area lim k1 Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the rectangles in the Riemann sum. a. We start by subdividing 0, 2 into n equal width subintervals 0, 1, 1,2, ..., [xn 1, Tn] each of width
The width of subintervals of f(x) = \(8x^2+3\) with x-axis over the interval [0,2] is (2/n).
How to calculated width of subintervals?Width of subintervals (Δx) is part of Riemann Sum formula which is represent the interval value of rectangle. For example in attached image, the interval value of first rectangle is 1 (from 0 to 1), the second rectangle is 1 (from 1 to 2), etc.
from x-axis over the interval [0, 2] we get,
a = 0
b = 2
Width of subintervals can be calculated with this formula,
Δx = (b-a)/n
= (2-0)/n
= 2/n
Thus, the width of subinterval is (2/n) for \(8x^2+3\) with x-axis over the interval [0,2].
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4x + 3y = 17
5x – 2y = 4
Answer:
I solved with substitution since you weren't specific on how to answer it but I got ( 2,3 )
[x = 2 , y = 3]
Answer:
x=2
y=3
Step-by-step explanation:
\(\left \{{4x+3y=17{} \atop{5x-2y=4}} \right.\)
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
4x+3y=17,5x−2y=4
To make 4x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 4.
5×4x+5×3y=5×17,4×5x+4(−2)y=4×4
Simplify.
20x+15y=85,20x−8y=16
Subtract 20x−8y=16 from 20x+15y=85 by subtracting like terms on each side of the equal sign.
20x−20x+15y+8y=85−16
Add 20x to −20x. Terms 20x and −20x cancel out, leaving an equation with only one variable that can be solved.
15y+8y=85−16
Add 15y to 8y.
23y=85−16
Add 85 to −16.
23y=69
Divide both sides by 23.
y=3
Substitute 3 for y in 5x−2y=4. Because the resulting equation contains only one variable, you can solve for x directly.
5x−2×3=4
Multiply −2 times 3.
5x−6=4
Add 6 to both sides of the equation.
5x=10
Divide both sides by 5.
x=2
The system is now solved.
x=2,y=3
Which statement is true regarding the functions on the graph?
f(6)= g(3)
f(3)= g(3)
f(3)= g(6)
f(6)= g(6)
Answer:
f(3) = g(3)
General Formulas and Concepts:
Algebra I
Reading a Coordinate GraphCoordinates (x, y)Solving systems of equations by graphingFunctionsFunction NotationStep-by-step explanation:
According to the graph, we see that both lines intersect at x = 3. Therefore, that means both lines at that x point will have the same y value. Both f(3) and g(3) would equal 6, leading us to the answer of f(3) = g(3).
Answer:
f(3)=g(3)
from the graph, we can see these two functions are equal to
6 when x=3
Write an equation in point-slope form for the line that satisfies the given set of conditions.
slope of –5, passes through (–3, –8)
In point-slope form, the equation for line that passes through (-3 , -8) and slope -5 is :
y + 5x = -23.
What is equation of line?A straight line's equation is y = mx + c where m is the slope and c is the altitude where the line crosses the y -axis, as well identified as the y -intercept.Given a line with the coordinates (-3, -8) and a slope of m = -5.
For the line, we must find an equation in point slope form.
(y - y1 ) = m(x - x1) is the point slope form of a line.
According to the question,
(m) slope = - 5
And the line goes through (x1 , y1) = ( -3 , -8 )
Therefore( y - y1 ) = m ( x - x1)
y + 8 = -5 ( x + 3 )
y + 8 = -5x - 15
y + 5x = - 23
Therefore the equation for line in point-slope form is y + 5x = -23.
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Find the derivatives of the following using increment method.1.y = 6x² +10x - 3
Given
\(y=6x²+10x-3\)Find
derivatives using increment method.
Explanation
Given
\(y=6x²+10x-3\)replace x and y by
\(\begin{gathered} x+\Delta x \\ y+\Delta y \end{gathered}\)so ,
\(\begin{gathered} y+\Delta y-y=6(x+\Delta x)^2+10(x+\Delta x)-3-(6x^2+10x-3) \\ \Delta y=6x^2+6\Delta^2x^2+12\Delta x^2+10x+10\Delta x-3-6x^2-10x+3 \\ \Delta y=12\Delta x^2+6\Delta^2x^2+10\Delta x \\ \end{gathered}\)now divide by
\(\Delta x\)so ,
\(\begin{gathered} y^{\prime}=\frac{12\Delta x^2+10\Delta x+6\Delta^2x^2}{\Delta x} \\ \\ y^{\prime}=12x+10+6\Delta x \end{gathered}\)now taking limit
\(\begin{gathered} \lim_{\Delta x\to0}y^{\prime}=\lim_{\Delta x\to0}(12x+10+6\Delta x) \\ \\ y^{\prime}=12x+10 \end{gathered}\)Final Answer
Therefore , the derivative of the function using increment method is 12x + 10