Answer:
A
Step-by-step explanation:
Three cars are for sale.
Car A
£14240
Car B
£15870
Car C
£11 690
The price of each car is rounded to the nearest £100.
Which price changes by the greatest amount?
You must show your working.
+
+
Answer:
car B
Step-by-step explanation:
i used my brain
3/2(4x – 1) – 3x = 5/4 – (x + 2)
In the sequence 2, 8, 16, 64, 256, 1024 what is the fourth term?
Answer:
64 is the fourth term
Step-by-step explanation:
Note : -
First term : 2
Second term : 8
Third term : 4
Fourth term : 64
Fifth term : 256
Sixth term : 1024
4x=8 99999999999999999999999999999999999999999
Answer:
x=2
Step-by-step explanation:
Answer:
X =2
Step-by-step explanation:
4X=8
X=8/4
X=2
Factoring with Diagrams
A(x) = x3 – 7x² – 16x +112, You know that
(x-7) is a factor.
x-
х
+3
-7
-72
Check your work
Write A(x) as the product of linear factors.
Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
Use the probability distribution to complete parts (a) and (b) below.
The number of school-related extracurricular activities per student
Activities 0 1 2 3 4 5 6 7
Probability 0.059 0.121 0.164 0.179 0.212 0.127 0.086 0.052
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is 3.3
(Round to one decimal place as needed.)
The variance is
(Round to one decimal place as needed.)
this could take a while to think about but uhh i dont know,
The variance of the probability distribution is 3.4.
To find the variance of the probability distribution, calculate the following:
1. The squared deviation of each activity value from the mean.
2. The product of each squared deviation and its corresponding probability.
3. The sum of these products.
1. Calculate the squared deviation of each activity value from the mean (3.3):
[tex]\[ (0 - 3.3)^2 = 3.3^2 = 10.89 \]\\[/tex]
[tex]\[ (1 - 3.3)^2 = (-2.3)^2 = 5.29 \][/tex]
[tex]\[ (2 - 3.3)^2 = (-1.3)^2 = 1.69 \][/tex]
[tex]\[ (3 - 3.3)^2 = (-0.3)^2 = 0.09 \][/tex]
[tex]\[ (4 - 3.3)^2 = (0.7)^2 = 0.49 \][/tex]
[tex]\[ (5 - 3.3)^2 = (1.7)^2 = 2.89 \][/tex]
[tex]\[ (6 - 3.3)^2 = (2.7)^2 = 7.29 \][/tex]
[tex]\[ (7 - 3.3)^2 = (3.7)^2 = 13.69 \][/tex]
2. the product of each squared deviation and its corresponding probability:
[tex]\[ 0.059 \times 10.89 = 0.64351 \][/tex]
[tex]\[ 0.121 \times 5.29 = 0.63909 \][/tex]
[tex]\[ 0.164 \times 1.69 = 0.27716 \][/tex]
[tex]\[ 0.179 \times 0.09 = 0.01611 \][/tex]
[tex]\[ 0.212 \times 0.49 = 0.10388 \][/tex]
[tex]\[ 0.127 \times 2.89 = 0.36703 \][/tex]
[tex]\[ 0.086 \times 7.29 = 0.62814 \][/tex]
[tex]\[ 0.052 \times 13.69 = 0.71188 \][/tex]
3. Sum up these products to get the variance:
[tex]\[ \text{Variance} = 0.64351 + 0.63909 + 0.27716 + 0.01611 + 0.10388 + 0.36703 + 0.62814 + 0.71188[/tex]
= [tex]3.38680 \][/tex]
=3.4
So, the variance is 3.4.
Learn more about variance here:
https://brainly.com/question/29253308
#SPJ4
The total cost in dollars, c, to purchase video games online can be found using e function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?
Answer:
72.55 ≤ x≤ 123.40
Step-by-step explanation:
c = 16.95x + 4.75,
We have to purchase a minimum of 4 games
Let x = 4
c (4) = 16.95(4) + 4.75
c(4) =67.8+4.75 = 72.55
This is the smallest amount we will spend
The most we will purchase is 7 games
Let x = 7
c (7) = 16.95(7) + 4.75
c(7) =118.65+4.75 = 123.40
This is the largest amount we will spend
The range is
72.55 ≤ x≤ 123.40
ok i have 2 questions first one, is 12.01 larger than 11.999? second question is 0.57 equal to 0.573?
Answer yes, no
Step-by-step explanation:
for number one, 12.01 and 11.999 are being compared
let’s start by looking at the non decimal digits
12 is bigger than 11, so we can assume that anything bigger than 12 is less than anything less than twelve, so the answer is yes
for number two, they are 2 different numbers, so they are not equal
A train leaves Zurich at 2240 and arrives in Vienna at 07 32 the next day. Work out the time taken.
The answer is 8 hours 32 minutes
But can someone properly explain how
Step-by-step explanation:
Okay so, 22:40 is 10:40pm
07:32 is am
Time goes up to 60 minutes, it would be 52 minutes at the end(20m to get to 11pm + the 32minutes)
Then there would be 8 hours alone (11 to 7 is 8 hours)
So it takes 8 hours and 52 minutes from 10:40pm to 7:32am
What do you add to
2 1/5 to make 5
Answer:
Another 2 1/5
Step-by-step explanation:
2.5 + 2.5 = 5.0 (You don't have to put the .0)
Another example would be:
5.5 + 5.5 = 11.0 (Again, you do not have to put the .0)
- Hope this helps (:
16.-:- En una granja hay 52 animales, entre vacas y chanchos. Si se sabe que la
frecuencia relativa de vacas es 14, ¿Cuántos chanchos tiene la granja? *
10
13
38
39
Answer:
what it mean???? I'm just asking
A group of 5 friends is shering 2 pounds of trail mix .Write a division problem and a fraction to represent this situation
Answer:
Division problem - 2/5
Fraction - 2/5
Step-by-step explanation:
The answer is the same because in mathematical situations, division and fraction is considered same.
what is the midpoint of 0.1 and 0.2
The answer is definitely 0.15
Sadie is doing weekly payroll for her employees at her car dealership. Her employees make a base salary plus commission. The function LaTeX: E(x)=\mid 5- \frac{6x}{2}\mid models the way Sadie calculates the commission where x represents the number of cars the employee sells. If one of her employees sells 7 cars, how much commission will they make?
The commission function is an illustration of the absolute functions
The commission for the sales of 7 cars is 16
The function is given as:
[tex]\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}[/tex]
When an employee sells 7 cars, we have:
x = 7
So, the equation becomes
[tex]\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}[/tex]
Simplify
[tex]\mathbf{E(x)=\mid 5- 3\times 7\mid}[/tex]
[tex]\mathbf{E(x)=\mid 5- 21\mid}[/tex]
Simplify
[tex]\mathbf{E(x)=\mid- 16\mid}[/tex]
Remove absolute brackets
[tex]\mathbf{E(x) = 16}[/tex]
Hence, the commission for the sales of 7 cars is 16
Read more about absolute functions at
https://brainly.com/question/1389494
Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?
1. Jose did not make an error. His estimate of $12 is correct.
2. Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
3. Jose incorrectly rounded 6.2 up to 7.
4. Jose incorrectly multiplied 2 and 7. The estimate should be $14.
Answer: Jose incorrectly rounded $2.85 down to $2. The estimate should $18.
Step-by-step explanation:
lol i had this question
Graph the equation.
y = |x – 11 – 2
Answer:Correct option is
A
10
Given y=(x−11)
2
⇒y=x
2
−22x+121
After substitute y=25. we get,
x
2
−22x+121−25=0
⇒x
2
−22x+96=0
⇒(x−16)(x−6)=0
⇒x=16,x=6
∴ two points are A,B are (16,25),(6,25).
Distance between A and B is
(16−6)
2
−(25−25)
2
=10
Hence, option A is correct.
Explain why x2+7x+4=7x has no solutions.
[tex]x^2+7x+4=7x[/tex]
[tex]x^2+4=0[/tex]
[tex]x^2=-4[/tex]
Square of any real number cannot be negative because - * - = + so this equation has no solutions
3(-2x-4y)-4(6y-x)
simplify
Answer:
Simplify the expression.
12xy−72yexponent 2 -6x
Step-by-step explanation:
got it from mathaway
PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
What is twice the sum of -1 1/2 and 0.04
A. -2.92
B. -1.2
C. -1.5
D. -2.5
Help
Meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Observe the two stars below. How are they different?
a red dwarf star that is small in size and very dim.a yellow dwarf that is medium in size and dim.
The red dwarf is larger than the yellow dwarf.
The red dwarf is dimmer than the yellow dwarf.
The red dwarf is brighter than the yellow dwarf.
The red dwarf is made of more gas than the yellow dwarf.
Answer:
b The red dwarf is dimmer than yellow dwarf
Answer:
A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star.
Step-by-step explanation:
Is this list of numbers an arithmetic sequence?
18,16,14,12,10,…
Answer:
YesStep-by-step explanation:sequence of numbers such that the difference between the consecutive terms is constant.
the constant is 2 (Ex. 18-2=16-2=14....) and your answer is
yes
A rectangular park 60 yards long and 50 yards wide. Plans call for increasing both the length and the width by x yards.
a. Write a function to find the new length of the park.
b. Write a function to find the new width of the park.
c. Write a function to find the area of the park after increasing both the length and width.
Answer:
C
Step-by-step explanation:
If they are increasing w and l, they need a function for both.
I dont know this no links though
Answer:
ok do the sqare root of 54 and 24 round to the nearest tenth then multiply the 54 by 3 and the 24 by 4 then subtract them too
Step-by-step explanation:
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
I really need help
Answer:
C
Step-by-step explanation:
i did it already
please help!! i will give a thanks and brainliest !
Answer:
19. is 18
31. is 10y-x
Step-by-step explanation:
thats only what i know sorry
HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answer:
Mean: [tex]93.2\; \rm ^{\circ} F[/tex].
Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].
Step-by-step explanation:
Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].
If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:
[tex]\overline{Y} = m\, \overline{X} + b[/tex].
[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:
[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].
In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:
[tex]F = (9/5)\, C + 32[/tex].
It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:
[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].
[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].
Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].
Simplify the following:
1)y^6/y^2
2)b^7/b^5
Answer:
look at the photo i have sent
The student council at Spendtoomuch High School is planning a school dance. The table below shows the budget for the dance.
School dance budget
Item Funds raised Expenses
Dance tickets
$
300
$300dollar sign, 300
DJ Denny
$
−
250
$−250dollar sign, minus, 250
Decorations
$
−
100
$−100dollar sign, minus, 100
What is the student council's expected profit?
Answer:
-$50.00
Step-by-step explanation:
PLEASE HELP IM STUCK ON THIS ONE
Answer:
1. 1/200
2. 15/2
3. 11/36
4. 8/5
Step-by-step explanation:
