Answer:
y = 6x - 4
Step-by-step explanation:
(2, 8) & (1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - 8) / (1 - 2)
Simplify the parentheses.
= (-6) / (-1)
Simplify the fraction.
-6/-1
= 6
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 6x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 6(1) + b
To find b, multiply the slope and the input of x(1)
2 = 6 + b
Now, subtract 6 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 6x - 4
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 8).
y = 6x - 4
8 = 6(2) - 4
8 = 12 - 4
8 = 8
Your equation is correct.
Hope this helps!
What is the percent of increase from 25 to 26?
Answer:
4 percent
Step-by-step explanation:
because the new value is greater than the old value
The Answer is 4 percent
1. What is 2 added to 1?
4
in
Answer:
3
Step-by-step explanation:
what is the 4 in for?
Answer:
2+1=3
I think you copy pasted something else like the '4 in'.
Step-by-step explanation:
Is 5.3 a possible solution to x > 5 ?
Yes 5.3 is greater than 5
5.3 > 5
Answer:
yes, it is.
Step-by-step explanation:
its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!
A school psychologist notes that the average number of times that students are disruptive during class is 1.4 [μ=1.4] times per day. Following recent classroom policy changes, the psychologist tests if the number of disruptions during class has changed. He records the following number of disruptions observed during a class day: 2, 4, 3, 5, 1, 1, and 4.
A. Test the hypothesis that the number of complaints has increased or decreased using a .05 level of significance.
B. Compute effect size using estimated Cohen's d.
Answer:
Reject the Null ;
0.928
Step-by-step explanation:
Given the data: 2, 4, 3, 5, 1, 1, 4
Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857
Standard deviation, s = 1.57 ( using calculator)
The hypothesis :
H0 : μ = 1.4
H1 : μ ≠ 1.4
Since sample size is small, use T test
Test statistic :
Tstatistic = (x - μ) / s/sqrt(n)
Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)
Tstatistic = 1.457 / 0.593 = 2.455
Two tailed test at α = 0.05
Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447
Tstatistic > Tcritical ; reject the null
Since ;
2.455 > 2.447 ; we reject the null ;
There is significam evidence that Number of complaints has changed.
Effect size ;
d = (x - μ) / s
d = (2.857 - 1.4) / 1.57
d = 1.457 / 1.57
d = 0.928
46.8 divided by 39 equals what
Answer:
1.2
Step-by-step explanation:
what is the Multiplicative of -12
multiplicative would be ;
-12 ------> 1/-12
3629 you can use the digits twice make the largest four digit number
Answer:
9632
or
9966
Step-by-step explanation:
im not 100% sure
Which expression is equivalent to -32^3/5?
Answer:
the first one
Step-by-step explanation:
find the highest common factor using prime factorization for 27y and 54y³
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।
Answer:
English pls
Step-by-step explanation:
अन्यथा बहस करें, शिकायतें पकड़ें।
How many points are needed to determine a straight line?
A. only one point
B. at least two points
C. at least three points
D. more than three points
Answer:
b
Step-by-step explanation:I hope this helps
Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?
Answer:
7/18
Step-by-step explanation:
4 2/3=14/3
(14/3)/12=14/36
reduces to
7/18
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.
respondo por qué el juego me lo diste 2+24
Answer:
y = -2/3x + 6Step-by-step explanation:
Equation in slope-intercept form:
y = mx + bSubstitute values:
y = -2/3x + 6Find the area of the kite.
Area=
(Simplify your answer)
Mark the best answer.
1. The grid map shows the location of
some places on a college campus.
What are the coordinates of the
dormitory? (8-1)
Library
Gymnasium
12 Student
Center
5 4 3 2
Dormitory
I.XI
10
2013
Academic
Hall
A (2.1)
B 12)
CK1-2)
D (2.1)
Answer:
it makes sense
Step-by-step explanation:
19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)
Answer:
A total of 8 (eight) completely filled cups.
Step-by-step explanation:
Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.
Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:
Volume = 19 x 6 x 30 = 3420 cm^3
The amount of water in it fills 2/3 of its volume, then:
amount of water = 2/3 (3420) = 2280 cm^3
Now to find how many cups can be filled with such amount of water, we do the division:
2280 / 275 = 8.29
Then the maximum number of completely filled cups is: 8
The difference of two numbers is 2 their sum is 22 what are the numbers
12+10=22
12-10=22
is the two numbers whose sum is 22 and difference is 2.
Give a practical interpretation of the estimate of the y-intercept of the regression line. For each additional room in the house, we estimate the appraised value to increase $74,800. We estimate the appraised value for any house to be $74,800. There is no practical interpretation, since a house with 0 rooms is nonsensical. For each additional room in the house, we estimate the appraised value to increase $17,800.
Answer:
The answer is "Option D"
Step-by-step explanation:
Please find the complete question in the attachment file.
House's valued worth (in milles) = 74.80 + 20.81 (number of rooms). It indicates that we will need to pay $ 20810 per additional amount throughout every actual room in the house. It is a complete risk, that becomes forecast to expand $20,810 for every additional part of the house, that's why choice D is correct.
Question Help
$
11.3.IP-8
John is knitting a blanket. He records the length he knits each day. How many more inches does
John need to knit so the blanket is 54 inches?
I'm not sure. Don't be angry but this is my first time on this app but it helps a lot and i would also like to help but it seems that I'm the one who needs help.
Solve. 3 + 4(w + 5) = 31
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
What is 36divided by 6.
Answer:
6
Step-by-step explanation:
It is six because 6x6=36
Will mark Brainlyist help me fill out the chart
Answer:
The working is done in the image attached.
Simon mixes dried fruits and nuts to make a trail mix that he sells at the farmer's market. The dried fruits cost $6 per pound. The nuts cost
$2 per pound. It costs Simon $40 to make 12 pounds of trail mix.
Which system of equations can be used to find the number of pounds, x, of dried fruits and the number of pounds, y, of nuts that Simon used
to make 12 pounds of trail mix?
Answer:
d
Step-by-step explanation:
Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 800 gas stations, the mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than $2.812?
Answer:
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
Finite correction factor:
If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.
The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon.
Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]
Sample of 45:
45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:
[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]
In which n is the size of the sample(45) and N is the size of the population (800). So
[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]
By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]
What is the probability that the mean price per gallon is less than $2.812?
This is the pvalue of Z when X = 2.812. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]
[tex]Z = -3.45[/tex]
[tex]Z = -3.45[/tex] has a pvalue of 0.0003
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
Solve for the indicated variable
for x: d=ax+bx
Answer:
d/ ( a+b) = x
Step-by-step explanation:
d=ax+bx
Factor out x
d = x( a+b)
Divide each side by (a+b)
d/ ( a+b) = x (a+b)/ (a+b)
d/ ( a+b) = x
in math what does the word "of" mean
Answer:
Multiplication
Step-by-step explanation:
The word 'of', in Math, simply means multiplication. Generally, whenever you encounter this word, put a multiplication sign in your equation at that point. The word 'of' is used very simply in percentage problems, and usually you just have to replace 'of' with a multiplication sign to get rid of it!
Answer:
"In mathematics, “of” means ”a part of something”. Mostly, “of” means “to multiply”. In other context, mathematical expressions like “f of x”, where “of” means “depending on” or “involving” or “defined in terms of” “x”; it also refers to the act of applying the function to its argument".
Step-by-step explanation:
Yw. Plz mark brainliest
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator.
Answer:
t is less than or equal to 35
Step-by-step explanation:
Find the solutions of each equation on the interval [0, 2π)
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
x = π
A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.
Answer:
20000
Step-by-step explanation:
115%-> 23000
100%->20000
what times 4/5 equals 3/4
Answer:
15/16
Step-by-step explanation:
4/5 x=3/4
x=(3/4)/(4/5)
x=15/16