Answer:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1.y_1) = (0,0)[/tex]
[tex](x_2.y_2) = (7,15)[/tex]
So:
[tex]m = \frac{15 - 0}{7 - 0}[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
For the given options.
The unit rate is the coefficient of x
So: [tex]y = \frac{19}{8}x[/tex]
Going by the above definition of unit rate.
[tex]m = \frac{19}{8}[/tex]
[tex]m = 2.375[/tex]
[tex]y = \frac{27}{13}x[/tex]
[tex]m = \frac{27}{13}[/tex]
[tex]m = 2.077[/tex]
[tex]y = \frac{21}{9}x[/tex]
[tex]m = \frac{21}{9}[/tex]
[tex]m = 2.333[/tex]
[tex]y= \frac{11}{5}x[/tex]
[tex]m= \frac{11}{5}[/tex]
[tex]m= 2.20[/tex]
[tex]y = \frac{15}{7}x[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
[tex]y = \frac{31}{15}x[/tex]
[tex]m = \frac{31}{15}[/tex]
[tex]y = 2.067[/tex]
[tex]y=\frac{13}{6}x[/tex]
[tex]m=\frac{13}{6}[/tex]
[tex]m=2.167[/tex]
The unit rates grater than the graph's from small to large are:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
[tex]m=\frac{13}{6}[/tex] [tex]m= \frac{11}{5}[/tex] [tex]m = \frac{21}{9}[/tex] [tex]m = \frac{19}{8}[/tex]
PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS
The measure of c is
.
Answer:
10
Step-by-step explanation:
6^2=36
8^2=64
64+36=100
The square root of 100 is 10
What is the answer to 2.5 divided by 5
0.5 is the value of 2.5 by 5.
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find the solution when 2.5 divided by 5.
2.5/5
2.5 is the numerator and 5 is the denominator.
5 is the divisor and 2.5 is the dividend.
Zero point five is the value of 2.5 by 5.
0.5 is the value of 2.5 by 5.
Hence, 0.5 is the value of 2.5 by 5.
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Kyra is framing a square painting with side lengths of (x + 6) inches.
The total area of the painting and the frame has a side length of (2x −
5)
inches.
The material for the frame will cost $0.07
per square inch.
Complete Question:
Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.
Find the cost of the material for the frame is x = 16.
Answer:
The material cost of the frame is: $17.15
Step-by-step explanation:
Given
[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting
[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting
[tex]Cost = \$0.07[/tex] per square inch
Required
The cost of material of the frame
First, we calculate the area of the frame only
This is the difference between the areas of the frame and painting and the area of the painting
[tex]Area = (L_2)^2 - (L_1)^2[/tex]
[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]
Substitute 16 for x
[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]
[tex]Area = (27)^2 - (22)^2[/tex]
[tex]Area = 245\ in^2[/tex]
The cost of the painting is:
[tex]Total\ Cost = Unit\ Cost * Area[/tex]
[tex]Total\ Cost = \$0.07 * 245[/tex]
[tex]Total\ Cost = \$17.15[/tex]
Hence, the material cost of the frame is: $17.15
A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face-upon the cube 32 times. What is the closest estimate for the experimental probability of 6 landing face-up on the cube?
A: 0.087
B: 0.107
C: 0.127
D: 0.188
Answer:
Step-by-step explanation:
Experimental probability is the number of a certain outcome divided by the number of trials, in this case
32/300
0.10666... rounded to nearest thousandth this is
0.107
Answer:
B
Step-by-step explanation:
Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?
Answer:
Carlos born in 1944
Julio born in 1945
Ricky born in 1946
Step-by-step explanation:
x = Carlos age
x+1 = Julio age
x+2 = Ricky age
x + x+1 + x+2 = 129
3x + 3 = 129
3x = 126
x = 42 (Carlos age)
x+1 = 43 (Julio age)
x+2 = 44 (Ricky age)
1990 - 42 = 1944 (year Carlos born)
1990 - 43 = 1945 (year Julio born)
1990 - 44 = 1946 (year Ricky born)
When Reena subtracted 9 from thrice a number, the result was 15. Then the number is
-7
8
-3
-8
Answer:
8
Step-by-step explanation:
Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15
Answer:
Step-by-step explanation:
let the number be x
3x-9=15
3x=15+9 add 9 from both sides
3x=24
x=8
What is the answer?1/3(x-10)=-4
Answer:
x=-11
Step-by-step explanation:
not entirely sure what it means by DBJ, but lets see..
i believe the answer is x=-11.
please resend the problem fixed
2x+3=5` write this in statement form.`
Answer:
2 product of x & adding it from 3 is equals to 5 ..
Vuzile bought 24 marbles lost 1/6 marbles. how many did he lose?
Answer:
4 marble lost
Step-by-step explanation:
1/6×24=4
so 4 marble lost
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answer:
The Z score for $37,000 is 8.49.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
Find the equation of the line.
Use exact numbers.
Answer:
(0,-3) and (6,0)
Step-by-step explanation:
Now you use two point form to make equation
Y2-Y1/Y-Y1=X2-X1/X-X1
here Y2=0 ,Y1=-3
X2=6 and X1=0 now put in equation to get answer
Will Give Brainliest if you anwser the question before 12:45
Answer:
[tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Math
Converting to FractionsKCF - Keep Change Flip (Dividing Fractions)Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
Step 2: Compute
(Parenthesis) [Fraction] (Parenthesis) Subtract: [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Convert to fractions: [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Multiply/Divide: [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Divide: [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Convert to fraction: [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Add: [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]Divide: [tex]\displaystyle \frac{7}{100} + 0.43[/tex]Convert to fraction: [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]Add: [tex]\displaystyle \frac{50}{100}[/tex]Simplify: [tex]\displaystyle \frac{1}{2}[/tex]Jan had 30 dollars saved for a new bike. This was one third of needed to save. how much does the bicycle cost?
Answer:
90 dollars
Step-by-step explanation:
I did maths hghbhhbghfggghggfgy
Use the Binomial Theorem to expand (x + 1)^6
Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
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A fraction is shown. 8/16 Which expression is equivalent to this fraction?
Answer:
1/2
Step-by-step explanation:
Solve for x.
2/x = 6/2
Answer:
X = 2/3
Hope this helps :D
PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU
Answer:
11 cows and 6 ducks
Step-by-step explanation:
I need help on this problem
Step-by-step explanation:
[tex] {f}^{ - 1} (x) = x \: value[/tex]
[tex]f(x) = \sqrt[4]{x} + 6 \\ [/tex]
[tex]x - 6 = \sqrt[4]{x} [/tex]
[tex] {(x - 6)}^{4} = x[/tex]
[tex] {f}^{ - 1}(x) = {(x - 6)}^{4} [/tex]
For my friend that helping me part 2
Answer:
Step-by-step explanation:
1. A=12
2. A=17.5
3. A=12.5
4. A=21
5. A=9
6. A=10
7. A=10.5
8. A=18
9. A=6
SOMEONE PLEASE ME RN I BEG YOU
Given:
The piece-wise function is:
[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]
To find:
The domain of the given function.
Solution:
Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.
The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is
[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]
Therefore, the correct option is B.
For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?
Based on the arithmetic sequence, the sum of the first 19 terms is 532.
Sum of an arithmetic sequence1, 4, 7, 10, 13, 16...
First term, a = 1Common difference, d = 4 - 1 = 3n = 19Sn = n/2{2a + (n - 1)d}
= 19/2{2×1 + (19 - 1)3}
= 9.5{2 + (18)3}
= 9.5(2 + 54)
= 9.5(56)
Sn = 532
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What are the coordinates of point of intersection of y=x+3 and y=3x-3?
Answer:
Correct option is
D
(0, 0)
Form the graph, we can see that solution is (0,0).
or
The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.
From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).
Answer:
Step-by-step explanation:
At the point of intersection, x+3 = 3x-3
6=2x
x = 3
y = x+3 = 6
Martha ran 2 miles in 15 minutes.
At this rate, how many miles
would she run in 2 hours?
a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere
Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
2.36 to the nearest whole number
Answer:
2
Step-by-step explanation:
2.36 would need to be at least 2.50 or higher to be rounded to 3 so we round down to 2
hope this helps <3
The principal of a high school e-mails a survey to all parents asking them to vote on the best time to have the PTA meeting. She only receives responses from 56% of the parents. Describe how the design of the survey leads to bias.
A. A nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
B. A nonresponse error was made in this design. This type of sampling only represents the parents at this school and not the entire population.
C. A convenience sample error was made in this design. This type of sampling only represents the parents with e-mail addresses and not the entire population.
D. An undercoverage error was made in this design. This type of sampling only represents the parents in the city and not the entire population.
E. There are no potential areas of bias.
Answer:
A
Step-by-step explanation:
The design of the survey leads to bias because a nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
Only 56% of response were received this means the entire population did not participate in the survey only a chuck of them answered the survey. This can lead to a biased result, an assumption.
I need help please help
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
Answer: 103.25
Step-by-step explanation:
area of the rectangle is 4*16= 64
The area of the complete circle is [tex]\pi r^{2}[/tex]
r=d/2
r=10/2
r=5
[tex]25\pi[/tex] is the area of the full circle
[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle
area of the figure
[tex]64+\frac{25\pi }{2}[/tex]=103.27
what is 2/3 + 1/4 as a fraction
Answer:
[tex] \frac{11}{12} [/tex]
Can I be brainliest pls
Please assist with the problem:
3 ^ -(sqrt 3)
Answer:
Step-by-step explanation:
y = 3 ^ - sqrt(3)
y = -sqrt(3) * log(3)
Log (3)= 0.47712
- sqrt(3) = - 1.732
y = 0.47712 * -1.732
y = - 0.82637
The y really has no meaning. I just used it so I could get from 1 line to the next.
Look carefully at how that - sqrt(3) was handled. You are not taking the square root of -3.