Answers
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (4 , 4)\\(x_2 , y_2) = (9 , 6)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{6 - 4}{9 - 4} = \frac{2}{5}[/tex]
[tex]\frac{2}{5}[/tex] is your slope.
Answer:
[tex]m = \frac{2}{5} [/tex]
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{cahnge \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates and the change in y is equal to the difference in y-coordinates.
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{4 - (6)}{4 - (9)} [/tex]
Simplify.
[tex]m = \frac{2}{5} [/tex]
Therefor, the answer is m = 2/5.
Related Questions
In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the number of boys in the class.
Let’s represent the number of girls by g, and the number of boys by b. Write the pair of linear equations you will get in g and b :
Answers
Answer:
b=15 g=25
Step-by-step explanation:
lets translate that story problem to mathematics equations
the problem told that no. of girls are 10 more than no of boys so this will =
g=b+10
then in class there are 40 students that means
g+b=40
now we have to equations with two variables then we should substitute
(b+10)+b=40
lets remove the brackets
2b+10=40 subtract 10 from both sides
2b=30 now divide both by 2
b=15 so g=25 after you write the equation once again with the new proof or number
Rewrite in simplest form: 8(2x)
Answers
Answer:
Probably is 16x
Answer:
8×2x
Step-by-step explanation:
As u know that the bracket mean multiplication
helppp guys i really don't get it
Answers
9514 1404 393
Answer:
(b) ... confirm ∠C≅∠E
Step-by-step explanation:
The first step is to read and understand the problem statement. It is asking for a way to prove ΔABC ~ ΔADE by AA similarity. That means you want to show any two of the three ...
∠A≅∠A∠B≅∠D∠C≅∠EFor this purpose, lengths of line segments are irrelevant (eliminating the last two answer choices). The fact that ∠A≅∠A is given, so you only need to find an answer choice that will show one of the last two angle congruences.
Obviously, showing ∠B≅∠E (choice A) is not relevant to the problem.
The only answer choice that is relevant to the question is the second one, showing ∠C≅∠E.
A beetle was running along a number line...The the bug ran from 13 to 57. What distance did it cover?If it took the bug 5 seconds, what was its average speed?
Answers
Answer:
8.8
Step-by-step explanation:
57-13=44
so the distance is 44 considering that it's on a number line.
Average speed = distance ÷ Time
44÷5=8.8
I need help with this question please
 
Supposed you know that Ls and LY are complementary, and that mLS=3(mLY)-90°
The value of mLY is
Someone help me with this question!!
Answers
9514 1404 393
Answer:
∠Y = 45°
Step-by-step explanation:
The sum of complementary angles is 90°.
∠Y + ∠S = 90°
∠Y + (3(∠y) -90°) = 90°
4∠Y = 180° . . . . . . . . . . . . add 90°, collect terms
∠Y = 45° . . . . . . . . . divide by 4
The measure of angle Y is 45°.
A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to land face up when the die is rolled. On a fair die, the probability that the number 6 will land face up is 16. A group of students wanted to investigate a claim about manipulating a fair die so that it favors one outcome. The claim states that if a fair die is put into an oven and baked at 200°F for 10 minutes, the inside of the die will begin to melt. When the die cools, the inside will be solid again, but with more weight toward the bottom. This shift in weight will cause the face that was up when the die cooled to land up more often that the other faces.
The students obtained a fair die and baked it according to the preceding directions. The die cooled with the number 6 face up. After the die cooled, they rolled the die 200 times, and the number 6 landed face up 43 times. Let p represent the population proportion of times the number 6 will land face up on the baked die if the die could be rolled an infinite number of times.
(a) Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.
(b) Aurelia, another student, suggested they conduct a significance test to investigate the claim. She tested the hypotheses H0:p=16 versus Ha:p>16 at the significance level of α=0.05. She obtained a test statistic of 1.83 with a p-value of 0.033. Do the results of the significance test agree with the results of Clarke’s confidence interval in part (a)? Explain your reasoning.
(c) Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√.
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
173 The midpoint between x and a is m. What is x ?
Answers
If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].
Hope this helps.
A square playpen has sides that are 4 feet long. What is the playpen's area?
Answers
Answer:
16
Step-by-step explanation:
Marcos has 15 coins in nickels and quarters. He had 3 more quarters than
nickels. How many nickels and quarter does he have?
Answers
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
Answer:
Step-by-step explanation:
line 1 is H
line 2 is C
line 3 is D
line 4 is G
:)
A trapezoid has a base of 5cm, a height of 4cm. What is the area?
Answers
Answer:
area = 16 cm²
Step-by-step explanation:
area of rectangle = 3x4 = 12
area of triangle = 2x4x0.5 = 4
12 + 4 = 16 cm²
another way is :
1/2(b1+b2)(h) = area
1/2(3+5)(4) = 16 cm²
What is the prime factorization of 120
Answers
How many solutions does this equation have?
–9 − 5p = –2 − 5p
Answers
Answer:
no solutions
Step-by-step explanation:
A minibus sets off at 7.30 am and arrives
at its destination at 11.45 am.
How long did the journey take?
Answers
Answer:
4 hours and 15 minutes
Step-by-step explanation:
Help Please!!!!!!!!!!!!
Graph x>4.
Answers
Answer:
graph
Step-by-step explanation:
TThe Education Trust publishes data on U.S. colleges and universities. Six-year graduation rates and student-related expenditures per full-time student for 2007 were reported for the seven primarily undergraduate public universities in California with enrollments between 10,000 and 20,000. Suppose that a 90% confidence interval for the prediction of student expenditures at a university with a graduation rate of 40% was (5,304, 8,686).
Required:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
b. Calculate the margin of error.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Answers
Answer:
a) The point estimate is 6995.
b) The margin of error is of 1691.
c) The standard error is of 1000
Step-by-step explanation:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
The point estimate is the mean of the two bounds of the confidence interval. So
[tex]P = \frac{5304 + 8686}{2} = 6955[/tex]
The point estimate is 6995.
b. Calculate the margin of error.
The margin of error is the difference between the bounds and the point estimate. So
M = 8686 - 6995 = 6995 - 5304 = 1691
The margin of error is of 1691.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Now I have to expand a bit into the confidence interval.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
The margin of error is:
[tex]M = zs[/tex]
In which s is the margin of error.
We have that M = 1691. So
[tex]M = zs[/tex]
[tex]s = \frac{M}{z} = \frac{1645}{1.645} = 1000[/tex]
The standard error is of 1000
10=2x+12
What’s the steps
Answers
Answer: i got 10
Step-by-step explanation:
what ud o is 2x+12 let me see
-2x = 12 - 10
-2x=2
Divide both sides by -2
X=-1
-x+3y=-1 x-3y=1
one solution, no solution, or infinitely many solutions
PLEASE HELP
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
-x + 3y= -1
x - 3y =1
0=0
identity solution
Hurry I really need it I have a timer
Answers
Answer:
228 m^2
Step-by-step explanation:
I rly hope im not to late
base is 6x6=36
each side is 8x6=48
48x4=192
192+36=228
Sean traded 1/7 of his baseball cards. What percentage of his baseball cards did Sean trade?
Answers
Answer:
Step-by-step explanation:
14%
The functions r and s are defined as follows.
r(x) =- 2x+2
s(x)=x²-2
Find the value of r(s (-2)).
r(s(-2)) = 1
口口
Х
?:
Answers
Answer:
r(s(-2)) = -2
Step-by-step explanation:
We are given these following functions:
[tex]r(x) = -2x + 2[/tex]
[tex]s(x) = x^2 - 2[/tex]
Find the value of r(s (-2)).
First we find the composition of r and s functions. It is:
[tex]r(s(x)) = r(x^2-2) = -2(x^2-2) + 2 = -2x^2 + 6[/tex]
At x = -2
[tex]r(s(-2)) = -2(-2)^2 + 6 = -8 + 6 = -2[/tex]
r(s(-2)) = -2
A study has been made to compare the nicotine contents of two brands of cigarettes. Ten cigarettes of Brand A had an average nicotine content of 3.1 milligrams with a standard deviation of of 0.5 milligram, while 8 cigarettes of Brand B had an average nicotine content of 2.7 milligrams with a standard deviation of 0.7 milligram. Assuming that the two sets of data are independent random samples from normal populations with equal variances, construct a 95% confidence interval for the difference between the mean nicotine contents of the two brands of cigarettes.
Answers
Answer:
−0.2226 ; 1.0226
Step-by-step explanation:
Given :
n1 = 10 ; n2 = 8 ; s1 = 0.5 ; s2 = 0.7 ; x1 = 3.1 ; x2 = 2.7
Confidence interval, two - sample, t procedure ;
μ1 - μ2 = (x1 - x2) ± Tcritical*S
S = sqrt[(s1²/n1) + (s2²/n2)]
S = sqrt[(0.5^2/10) + (0.7^2/8)]
S = sqrt[0.08625]
S = 0.2937
Tcritical at 95% confidence interval
df = 10+8 - 2= 16
Tcritical = 2.12
(3.1 - 2.7) ± 2.12*(0.2937)
0.4 ± 0.6226
(0.4 - 0.6226) ; (0.4 + 0.6226)
−0.2226 ; 1.0226
Help me please I will give point to all
Answers
Answer:
try A if wrong try D
Step-by-step explanation:
this shold work
One Positive number is five times another number the difference between the two numbers is 172 to find the numbers
Answers
Answer:
x= 43, y=215
Step-by-step explanation:
Let one number be x,
Let the other number be y.
x= 5y
x - y= 172
Putting value of x in equation 2.
5y - y = 172
4y = 172
y= 172/4
y= 43
Putting value of y in eq. 1
x= 5(43)
x=215.
Help! I need to answer this on edge
Answers
your answer will be A
The function y=3x is growing slower than y=3^x
Step-by-step explanation:
hope it helps you
have a great day!!
The total area of a rectangle is represented by (x²+9 x+18) sq units.Find the expression for the dimensions of the rectangle.
Answers
Answer:
x+3 units and x+6 units
Step-by-step explanation:
Give the total area of a rectangle is represented by (x²+9 x+18) sq units.F
Factorize
x²+9 x+18
- x^2 + 6x + 3x + 18
= x(x+6) + 3(x+6)
= (x+3)(x+6)
Since Area = Length * Width
The dimensions of the rectangle are x+3 and x+6 units
HEPL A BROTHER OUT PLS 18 POINTS
Answers
Answer:
She didn't put the negitive in the 2. the 2 bottom boxes should be '-8x' & '-6' which in the end simplyfis to 4x² - 5x - 6
Step-by-step explanation:
What is the greatest common factor of all the terms: 6m and 18
Answers
Answer: 6
Step-by-step explanation:
A fair die is a cube with number 1 through 6 on the sides, represented as painted spots. If a fair die is rolled, what is the probability of number 6 landing face up?
Answers
Answer:
The First Part is A. 1/6
The Second Part is 1
The Third Part is B. 3
And The Fourth Part is B. Different
Step-by-step explanation:
Just took it. Edg 2021. Hope this helps :) (Da smiley is George, George says hi)
The probability of number 6 landing face up is 1/6.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
We have roll a die with number 1 to 6.
So, the possible outcome
{1, 2, 3, 4, 5, 6}
Then, the probability of number 6 landing face up
= 1 / 6
Hence, the probability is 1/6.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
What is the measure of CED?
Answers
The measure of CED is p degree. By AA rule of similarity, Corresponding angles of similar triangles are same. Therefore the measure of CED is p degree.
PLEASE MARK BRAINLIST