Answer:
6x^2 - 14x + 4.
Step-by-step explanation:
5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)
= 5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1
= 6x^2 - 14x + 4.
Let P(A)=35 and P(B|A)=89. What is the probability of events A and B occurring?
I'm assuming you meant to say P(A) = 3/5 and P(B|A) = 8/9.
If so, then we multiply the probabilities to get P(A and B)
P(A and B) = P(A)*P(B|A)
P(A and B) = (3/5)*(8/9)
P(A and B) = (3*8)/(5*9)
P(A and B) = 8/(5*3)
P(A and B) = 8/15
Answer: 8/15Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?).
Answer:
see explanation
Step-by-step explanation:
GC = 11B + 1D
WS = 9B + 2D
Linear equations will point downward
Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.
Graph the equation y = 4/5x - 1
Answer: The answer is the picture shown below
Step-by-step explanation:
To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.
Answer:
In the attachment.Step-by-step explanation:
[tex]y=\dfrac{4}{5}x-1[/tex]
This is an equation for a line in the slope-intercept form.
For the straight line we only need two points on the coordinate plane.
Choose two x values. Place them in the equation and calculate the y values.
For x = 0:
[tex]y=\dfrac{4}{5}(0)-1=0-1=-1\to(0,\ -1)[/tex]
For x = 5:
[tex]y=\dfrac{4}{5}(5)-1=4-1=3\to(5;\ 3)[/tex]
Mark points on the coordinate plane and draw a line through these points.
please help me immediately
Answer:
3.4
Step-by-step explanation:
70cm +1.5m+1.20m
Since 70 is in cenimeters you have to convert it to meters
70cm=0.7m
So then you add them all up
0.7+1.5= 2.2
2.2+1.2= 3.4
So the answer is 3.4
Hope this helped!
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5
Answer:
Step-by-step explanation:
Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?
and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?
Answer:
c
Step-by-step explanation:
Using every digit from 0−9 exactly once, make two five-digit numbers such that their sum is as large as possible. What is the sum?
Answer:
97,531+86,420=183,951
Step-by-step explanation:
Answer:
183,951
Step-by-step explanation:
Each of the 5 digit numbers would have to start with the two largest digits (9&8). The next two digits would have to be the next two largest digits (7&6). Continuing that pattern, we get:
97531+86420=183,951
Select the arithmatic sequence from the following:
Select one:
a.-2, 3, 5, 10, 18
b.- 2.0, 8, 13, 17
C. - 2, 3, 8, 15, 20
d. - 2, 3, 8, 13, 18
Answer:
d) -2, 3, 8, 13, 18
Step-by-step explanation:
d) is the only one that has the same change each time (+5)
Answer:
[tex]\huge\boxed{d.\ where\ a_1=-2;\ d=5}[/tex]
Step-by-step explanation:
[tex]\text{If}\ a_1,\ a_2,\ a_3,\ ...,\ a_n\ \text{is an arithmetic sequesnce, then}\\\\a_2-a_1=a_3-a_2=a_4-a_1=...=a_{n}-a_{n-1}=d=constant\\\\d-\text{common difference}\\\\\text{We have:}\\\\a.\ -2;\ 3;\ 5;\ 10;\ 18\\18-10\neq10-5\\\\b.\ -2,\ 0;\ 8;\ 13;\ 17\\17-13\neq13-8\\\\c.\ -2;\ 3;\ 8;\ 15;\ 20\\20-15\neq15-8\\\\d.\ -2;\ 3;\ 8;\ 13;\ 18\\18-13=13-8=8-3=3-(-2)=5[/tex]
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below: Team X: 11, 3, 0, 0, 2, 0, 6, 4 Team Y: 4, 2, 0, 3, 2, 1, 6, 4 Which of the following is true? A. Team X’s scores have a lower interquartile range. B. Team X’s scores have a higher median value. C. Team Y’s scores have a lower mean value. D. Both teams have the same range of scores.
Answer:
C. Team Y’s scores have a lower mean value.
Step-by-step explanation:
We are given that Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below:
Team X: 11, 3, 0, 0, 2, 0, 6, 4
Team Y: 4, 2, 0, 3, 2, 1, 6, 4
Firstly, we will calculate the mean, median, range and inter-quartile range for Team X;
Mean of Team X data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{11+ 3+ 0+ 0+ 2+ 0+ 6+ 4}{8}[/tex] = [tex]\frac{26}{8}[/tex] = 3.25
So, the mean of Team X's scores is 3.25.
Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.
Team X: 0, 0, 0, 2, 3, 4, 6, 11
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations is even, i.e. n = 8.
So, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{2+3}{2}[/tex] = 2.5
So, the median of Team X's score is 2.5.
Now, the range is calculated as the difference between the highest and the lowest value in our data.
Range = Highest value - Lowest value
= 11 - 0 = 11
So, the range of Team X's score is 11.
Now, the inter-quartile range of the data is given by;
Inter-quartile range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](2.25 )^{th} \text{ obs.}[/tex]
[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]
= 0 + 0.25[0 - 0] = 0
[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](6.75 )^{th} \text{ obs.}[/tex]
[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]
= 4 + 0.75[6 - 4] = 5.5
So, the inter-quartile range of Team X's score is (5.5 - 0) = 5.5.
Now, we will calculate the mean, median, range and inter-quartile range for Team Y;
Mean of Team Y data is given by the following formula;
Mean, [tex]\bar Y[/tex] = [tex]\frac{\sum Y}{n}[/tex]
= [tex]\frac{4+ 2+ 0+ 3+ 2+ 1+ 6+ 4}{8}[/tex] = [tex]\frac{22}{8}[/tex] = 2.75
So, the mean of Team Y's scores is 2.75.
Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.
Team Y: 0, 1, 2, 2, 3, 4, 4, 6
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations is even, i.e. n = 8.
So, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{2+3}{2}[/tex] = 2.5
So, the median of Team Y's score is 2.5.
Now, the range is calculated as the difference between the highest and the lowest value in our data.
Range = Highest value - Lowest value
= 6 - 0 = 6
So, the range of Team Y's score is 6.
Now, the inter-quartile range of the data is given by;
Inter-quartile range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](2.25 )^{th} \text{ obs.}[/tex]
[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]
= 1 + 0.25[2 - 1] = 1.25
[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](6.75 )^{th} \text{ obs.}[/tex]
[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]
= 4 + 0.75[4 - 4] = 4
So, the inter-quartile range of Team Y's score is (4 - 1.25) = 2.75.
Hence, the correct statement is:
C. Team Y’s scores have a lower mean value.
FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
250.72
Step-by-step explanation:
the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.
Answer:
175.4
Step-by-step explanation:
50+50=100
Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4
100+75.4= 175.4
Help me ASAP for this question? Estimate 48% of $33.95. $18 $20 $16
$17
Answer:
$16
Step-by-step explanation:
0.48 x 33.95 = 16.296
Answer:
Hey there!
48% of 33.95, is about half of 33.95. Thus, the answer is roughly equal to 16.
Hope this helps :)
Find the distance between (16,18) and (15,43) using the distance formula. PLEASE HELP!!
Answer:
I am pretty sure it is the square root of 626
Step-by-step explanation:
A pizza shop bought a bushel of fresh vegetables. 4/15 of the bushel was used on Friday, 3/5 on Saturday and 2/15 on Sunday. How much of the bushel is left for Monday?
Answer:
None. 0.
Step-by-step explanation:
To do this problem, we have to use common denominators. So we can do 3/5*3/3=9/15. Now we just add. 4/15 + 9/15 + 2/15 = 15/15 or 1. So there were none bushels left for Monday.
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -15, -11, -7, ...? an = -15 + (-4)(n - 1) an = -15 + (n - 1) an = 4 + (-15)(n - 1) an = -15 + 4(n - 1)
Answer:
4n
Step-by-step explanation:
Answer:
The 4th choice
Step-by-step explanation:
To figure this out you would have to just lug in all of the numbers into the equation to find the correct answer.
So first we would plug in the first number for a1 which will be -15. Then we would put in d or the common difference (the number of numbers in between the 2 numbers). So d in this case would be positive 4 since every single time the number is being added to 4.
Now we can solve, so we would just find all of the choices that do not have +4 because that will be wrong. Automatically you can see that choices 1 and 2 are wrong and 3 also looks wrong and the only one that matched our formula is 4 and 4 is the correct answer.
lauren sold 140 boxes of cookies. 60% of the boxes she sold were to people her dad works with. of these boxes 1/4 contained mint cookies. how many boxes of mint cookies did Lauren sell to people her dad worked with?
Hey there! I'm happy to help!
First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).
0.6×140=84
We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!
0.25×84=21
Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.
Have a wonderful day! :D
Answer:
The answer is C) 21
Step-by-step explanation:
I'm right, trust me :)
Please help and I will mark brainliest :D
For this case, the first thing we should do is define the variable.
Step-by-step explanation:
b: number of bird baths
She sells them for 55% more then she paid.
Therefore, the sale price is given by:
12b+0.55(12b)
Rewriting we have:
1.55(12b)
Answer:
The selling price for b is 1.55(12b)
Why is [tex]a^{2}*a^{-6}* a^{6}=a^{5}[/tex] correct?
Answer:
incorrect
Step-by-step explanation:
We are multiplying exponents
Since the bases are the same, add the exponents
a^2 * a^-6 * a^6
a^ ( 2+-6 +6)
a^ (2)
This does not equal a^5
Answer:
no
Step-by-step explanation:
What do you know to be true about the values of a and b?
60°
bo
40°
A. a = b
B. a< b
0
C. a> b
Ο Ο
D. Can't be determined
Answer:
D. Can’t be determined
Step-by-step explanation:
There is no relationship.
Answer: can’t be determined
Step-by-step explanation:
The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.
Answer:
98
Step-by-step explanation:
Let's say the tens place is x and the ones place is y.
The tens place is one more than the one's place:
x = y + 1
Reversing the digits, plus the original number, is 187:
(10x + y) + (10y + x) = 187
11x + 11y = 187
x + y = 17
Substituting:
y + 1 + y = 17
2y = 16
y = 8
x = 9
The number is 98.
To the nearest degree, find the measure of
Answer:
the hypotenuse(b) is 50 if that helps
Step-by-step explanation:
a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)
(a) Rita is delivering a pizza to Mark's house. She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes
After, she starts up again and drives at a faster speed than before
(b) chai is driving on the freeway at constant speed. He then speeds up to pass a truck. After passing the truck, he exits the freeway and slows down.
Answer:
A.) Option C
B.) Option A
Step-by-step explanation:
A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.
After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.
Since the graph is distance - time graph, the best graphical representation for this illustration is C
B.) The is a speed - time graph.
At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.
The correct graphical representation for this illustration is A
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − StartRoot x EndRoot 8x3+ StartFraction 5 Over x EndFraction + 3 6x2 − 6x + 5
Answer:
[tex]6x^2 - 6x + 5[/tex]
Step-by-step explanation:
Given
List of Options
Required
Which of the options has a degree of 2
The general format of a polynomial is
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
Where n represents the degree
In this case;
n = 2
Substitute 2 for n in expression above;
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]
[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]
[tex]ax^2 + bx + c *1[/tex]
[tex]ax^2 + bx + c[/tex]
Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]
Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]
Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]
Answer:
6x^2-6x+5
Step-by-step explanation:
A student wants to know whether the teachers in the entire school prefer watching television or playing outdoor games after school. The student draws a random sample from the following groups: all school teachers, all students on the football team, all boys in each grade, all students in each grade. Which of the following groups best represents the population from which the student should take a random sample to get the best results for her survey?
Answer:
Step-by-step explanation:
All School teachers
Answer:
All school teachers
Step-by-step explanation:
The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.
ASAP!! can someone help solve these and include work
Answer:
Below
Step-by-step explanation:
The triangle ABC is a right triangle so we will use the Pythagorian theorem
c^2 =5^2 + 8^2
c^2 = 25 + 64
c^2 = 89
c = 9.43
We khow that the sum of a triangle's angles is 180°
So B+90+58= 180
B+ 148 = 180
B = 180-148
B = 32°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Tan A = opposite/ adjacent
Tan A = 5/12
The area of rhombus ABCD is 120 square units. AE = 12 and BD = x – 2. What is the value of x and the length of segment BD?
Answer:
its a
Step-by-step explanation:
Answer:
X=12 BD=10
Step-by-step explanation:
See Above
Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10.
Answer:
212
Step-by-step explanation:
3m² + 2p² - 15
Plug in the values.
3(3)² + 2(10)² - 15
Evaluate.
3(9) + 2(100) - 15
27 + 200 - 15
200 + 12
= 212
Answer: 212
Step-by-step explanation:
substitute the given values into the expression
3 ( 3 ) ^ 2 + 2 (10)^ 2 − 15 =
(3 ×9 ) + (2 × 100 ) - 15
= 27 + 200 - 15 =212
Hope this helped
Help needed urgently explain how to do for each and everyone, please
Answer:
1) a0.1 = 1/10
b).0.64 = 64/ 100 = 16/25
2).a0.7841 = 7841 / 10,000
b).0.67 = 67/100
3). a0.53 = 53/100
b).0.26 = 26/100 = 13/50
4). a0.6 = 6/10 = 3/5
b.0.42 = 42/100 = 21/50
Hope this helps you
Lee watches tv 3hours per day. Lee tv consumes 200 watts when on. Electricity cost 12 cents 1 kilowatt-hour how much does Lee's tv cost to operate for 30 days
Answer: $2.16
Lee watches TV 3 hours per day and TV consumes 200 watts.
Cost of electricity = 12 cents/(1-kilowatt-hour)
200w×3 hours
600 watt-hours
1000 watt-hours=1kwh
1 watt-hours= 1/1000 kwh
600 watt-hours 600/1000=0.6 kwh
0.6×12=7.2cents
1 day=7.2 cents
30 days
7.2×30
216 cents
$2.16
Answer:
The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.
Step-by-step explanation:
This problem ask us for the total cost associated with electricity consumption in a period of time. Hence, the total cost of energy is obtained by making appropriate conversions, that is:
Cost = Energy consumed x Time x Unit cost
[tex]C = (200\,W) \cdot (30\,days) \cdot \left(3\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h}\right) \cdot \left(\frac{1}{3600000} \,\frac{kWh}{J}\right)\cdot \left(0.12\,\frac{USD}{kWh} \right)[/tex]
[tex]C = 2.16\,USD[/tex]
The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.
6x−6=6x+15 Please solve this equation, i'll put the brainliest if its the right answer
Answer:
Step-by-step explanation:
6x-6=6x+15
or, -6+6x=15+6x
adding -6x in both sides
or, -6 + 6x + -6x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
or, -6 + 0 = 15 + 6x + -6x
or, -6 = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
or, -6 = 15 + 0
or, -6 = 15
Solving
-6 = 15
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Answer:
x=7/4
Step-by-step explanation:
hope am correct
this is solved by collecting like terms
I NEED THIS ASAP, PLEASE HELP ME!!!! WILL MARK BRAINIEST IF CORRECT!!!
Write a real-world situation that includes a data set with 12 values.
Is your data set symmetric, left-skewed, or right-skewed? Explain.
Answer:
sure
Step-by-step explanation:
I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph