The solutions are where the two lines cross over each other.
(0,3) and (4,-5)
What is the future value of $500 to be received 3 years from now if the discount rate is 10%?
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%. The test statistic is a.1.44. b.1.25. c..95. d..80.
Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:
[tex]H_0: p \leq 0.4[/tex]
At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that [tex]p = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:
[tex]n = 200, X = \frac{90}{200} = 0.45[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}[/tex]
[tex]z = 1.44[/tex]
Thus the correct answer is given by option a.
Find perpendicular,hypotenuse and base
Step-by-step explanation:
In right angled triangle ABC,
Taking alpha as reference angle,
By pythagoras theorem,
p=BC,h=AB,b=AC
Taking thita as reference angle,
p=AC,h=AB,b=BC
Keep smiling and hope u are satisfied with my answer.Have a good day :)
Find the inequality represented by the graph.
9514 1404 393
Answer:
y < 3x -4
Step-by-step explanation:
The boundary line has a slope (rise/run) of 3/1 = 3. It has a y-intercept of -4. The shaded area is below the line and the solution does not include the line. The relevant inequality can be written ...
y < 3x -4
Can anyone help with this math equation please?
For the following exercise, calculate the desired dose. Then calculate the amount to administer. Ordered: Pergolide mesylate 100 mcg PO tid On hand: Pergolide mesylate 0.05 mg tablets what is the Desired dose?
Answer:
was assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarismwas assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism
Step-by-step explanation:
was assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism
simplify each expression below. Compare your answers with your classmates answers.
Answer:
1)17
2)33
3)9
4)27
5)1252
6)50
Step-by-step explanation:
Find the value of the trigonometric ratio. sin A
Answer:
sin A = 4/5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin A = opp / hyp
sin A = 24/ 30
Dividing the top and bottom by 6
sin A = 4/5
sinØ=Perpendicular/Hypotenuse
sinA=BC/ACsinA=24/30sinA=4/5What is the remainder for the synthetic division problem below?
2/ 3 1 2 -7
A. 25
B. 17
C. -29
D. -39
Answer:
B.17
Step-by-step explanation:
B.17
B.17
B.17
B.17
the sum of √12 and √3 is
Step-by-step explanation:
You're going to break√12 into ✓4 and √3 because 4*3 = 12. Square rooting 4 will give you two, and now you can add since the argument of the roots are the same.
5 times a certain number plus 2 times that number plus 2 is 16 what is the number
let the number be x
ATQ
[tex]\\ \sf\longmapsto 5x+2x+2=16[/tex]
[tex]\\ \sf\longmapsto (5+2)x+2=16[/tex]
[tex]\\ \sf\longmapsto 7x+2=16[/tex]
[tex]\\ \sf\longmapsto 7x=16-2[/tex]
[tex]\\ \sf\longmapsto 7x=14[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{14}{7}[/tex]
[tex]\\ \sf\longmapsto x=2[/tex]
Answer:
The number is
2
Explanation:
Let
n
represent the number.
Translating the given statement into algebraic notation, we have
XXX
5
n
+
2
n
+
2
=
16
Therefore
XXX
7
n
+
2
=
16
XXX
7
n
=
14
XXX
n
=
2
answered by: Alan P.
A car is traveling 40 kilometers per hour. What is the speed of that car in meters per second?
We have to convert it to m/s
[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]
[tex]\\ \sf\longmapsto 40km/h[/tex]
[tex]\\ \sf\longmapsto 40\times \dfrac{5}{18}[/tex]
[tex]\\ \sf\longmapsto \dfrac{200}{18}[/tex]
[tex]\\ \sf\longmapsto 11.1m/s[/tex]
km/h > m/s
when converting km/h to m/s all you need to do is divide by 3.6
and vise versa when converting m/s to km/h multiply by 3.6
so therefore,
40km/h > m/s
= 40 / 3.6
= 11.11 m/s (4sf)
Can any one solve this.Please
Answer:
True
Step-by-step explanation:
The first derivative tells you the slope of the graph at a specific point. If f'(c) =0, then that means that at f(c), the slope of the graph is 0. It is neither going up nor down
The second derivative tells you the slope of the slope of the graph. If f''(c) < 0, this means that the slope is decreasing. This means that going from the left to f(c), the slope is greater than the slope at f(c), and going from f(c) to the right, the slope is less than the slope at f(c).
Therefore, since the slope at f(c) is 0, the slope is positive to the left of f(c) and negative to the right of f(c). This means that the graph is going up until it hits f(c) and then goes down. Because f(c) is greater than the values to the left of it (because it is going up until it hits f(c)) and the values to the right of it (because it is going down past f(c)), f(c) is a local maximum
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. If required enter negative values as negative numbers.
In a regression analysis involving 30 observations
Interpret b1, b2, b3, and b4 in this estimated regression equation (to 1 decimal). Assume that for each coefficient statement, the remaining three variables are held constant. Enter negative values as negative numbers.
b1 = estimated change in y per 1 unit change in x1
b2 = estimated change in y per 1 unit change in x2
b3 = estimated change in y per 1 unit change in x3
b4 = estimated change in y per 1 unit change in x4
Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2 (to 1 decimal).
In this, question the equation is missing that's why in the solution we define the equation and its complete solution:
Let the given equation:
[tex]\bold{\hat{h}=17.6+3.8x_1-2.3x_2+7.6x_3+2.7x_4}[/tex]
[tex]\bold{b1 = 3.8}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_1}[/tex]
[tex]\bold{b2 = -2.3 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_2}[/tex]
[tex]\bold{b3 = 7.6 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_3}[/tex]
[tex]\bold{b4 = 2.7}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_4}[/tex]
Calculating the estimated value of the y when:
[tex]\to \bold{x_1 = 10}\\\\ \to \bold{x_2 = 5}\\\\\to \bold{x_3 = 1}\\\\\to \bold{x_4 = 2}\\\\[/tex]
Put the value into the above-given equation:
[tex]\to \bold{17.6 + 3.8(10) - 2.3(5) + 7.6(1) + 2.7(2)} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{68.6-11.5}\\\\\to \bold{57.1}[/tex]
So, the final answer is "57.1".
Learn more:
brainly.com/question/14127435
Three construction companies have bid for a job. Max knows that the two companies with which he is competing have probabilities 1/3 and 1/9, respectively, of getting the job. What is the probability that Max will get the job?
Answer:
0.5555 = 55.55% probability that Max will get the job.
Step-by-step explanation:
What is the probability that Max will get the job?
The sum of all probabilities is 100% = 1, so, considering Max's probability as x:
[tex]x + \frac{1}{3} + \frac{1}{9} = 1[/tex]
[tex]\frac{9x + 3 + 1}{9} = 1[/tex]
[tex]9x + 4 = 9[/tex]
[tex]9x = 5[/tex]
[tex]x = \frac{5}{9}[/tex]
[tex]x = 0.5555[/tex]
0.5555 = 55.55% probability that Max will get the job.
The max has probability of getting this job is x= 0.5555 and 55.55%
Suppose that ;
Max has probability of getting this job is = x
and other two companies have probability to get job is [tex]\frac{1}{3} or \frac{1}{9}[/tex].
Sum of the probability have bid a job is 100% which is equal to 1.
The sum of the probabilities in a probability distribution is always 1. A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:According to given question ;
Sum of all the companies having probability to get the job = 1
[tex]x + \frac{1}{3} + \frac{1}{9} = 1[/tex]
[tex]\frac{9.x+1.3+1.1}{9} = 1\\9x+3+1 = 9.1\\9x+4 =9\\9x = 9-4\\9x = 5\\x = \frac{5}{9}[/tex]
x = 0.5555
The Max has probability of getting this job is x= 0.5555 or 55.55%
For the more information about probability click the link given below
https://brainly.com/question/14210034
look at the image for the question
9514 1404 393
Answer:
246.6 in²
Step-by-step explanation:
The surface area is the sum of the base area and the areas of the four triangular faces. The relevant area formulas are ...
A = s² . . . . . . area of a square of side length s
A = 1/2bh . . . . area of a triangle with base b and height h
Then the surface area of this figure is ...
A = (9 in)² + 4×(1/2)(9 in)(9.2 in) = 81 in² +165.6 in² = 246.6 in²
An amount of $700 was invested at 7% for 7 months what is the interest? Round your answer to your nearest cent.
Answer:
$343
step by step explanation: interest=PRT/100
:I=700×7×7/100
:I=$343.
Given:
Principal, P = $700
Rate of interest, R = 7% = 0.07
Time period, T = 7 months (it is considered as a monthly investment)
∴ Simple Interest, SI = PRT
SI = 700 × 0.07 × 7
SI = $343
What is straightforward interest and model?
Straightforward Simple Interest is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes credit of Rs. 5000, at a pace of 10 p.a. for a very long time, the individual's advantage for quite some time will be S.I. on the acquired cash.
Straightforward recipes generally start with an equivalent sign (=), trailed by constants that are numeric qualities and computation administrators like in addition to (+), short (- ), asterisk(*), or forward cut (/) signs.
Learn more about Simple Interest here
https://brainly.com/question/2294792
#SPJ2
Which of the answer choices has matrix multiplication defined?
Answer:
AB
Step-by-step explanation:
For the multiplication of two matrices to be defined then the number of columns of the first matrix must be equal to the number of rows of the second matrix. For example, 2*3 and 3*2 matrices can be multiplied since the number of columns of the first matrix must be equal to the number of rows of the second matrix.
Matrix A = 2*2
Matrix B = 2*3
Matrix C = 3*3
Matrix D = 1 * 3
From the matrices given, we can see that the matrices that can be multiplied together are AB and BC since the number of columns of the first matrix must be equal to the number of rows of the second matrix. Hence the correct option is AB
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?
How many hours will it take to complete a 45-km bike ride if you go 12km per hour the whole time?
Answer:
3.75 hours
Step-by-step explanation:
d = rt
where d is the distance, r is the rate and t is the time
45 = 12 t
Divide each side by 12
45/12 = t
3.75 hours = t
Which is a direct proportion
y = -4
y = 2x + 1
y = 6
y = 2/3x
Answer:
y=2x+1
Step-by-step explanation:
y is directly proportional to x if it increases as x increases
Find the inequality represented by the graph
I'm using khan academy btw
Answer:
Step-by-step explanation:
slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4
eq. of line is y-0=3/4(x-0)
y=3/4 x
put x=4
y=2
2=3/4×4
2=3
which is true if 2<3
2<3
so y<3/4 x
How??????????????????????
Answer:
y=-1/3x+7
Step-by-step explanation:
y=mx+c
m=-1/3, c=7
y=-1/3x+7
I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answer:
Both are true
Step-by-step explanation:
Both are true
Use the information angle 8 is congruent to angle 11 to determine which lines are parallel.
A. p || q
B. l || m
C. m || n
D. l || n
Answer:
A
Step-by-step explanation:
based on line p and q
Answer: p || q
Or A
Step-by-step explanation:
good luck
Find the value of the variable y that results in congruent triangles
Answer:
y = 5
Step-by-step explanation:
[tex]7y-10=25\\7y=35\\y=5[/tex]
- Which of the following is the correct distance between the points (-5, 3) and (7,8)?
Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]
[tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]
evaluate -7x^2 -5 + y^2- forx = -2, y=4
Answer:
The (y^2 ) or (y^–2) It is not clear, I solved it in both ways (y^2) and (y^-2) .^_^
[tex] - 7 {x }^{2} - 5 + {y}^{2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{2} \\ - 7( - 4) - 5 + 16 \\ 28 - 5 + 16 \\ = 39[/tex]
_______o_____o_______
[tex] - 7 {x }^{2} - 5 + {y}^{ - 2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{ - 2} \\ - 7( - 4) - 5 + \frac{1}{16} \\ 28 - 5 + \frac{1}{16} \\ = 23.06[/tex]
I hope I helped you^_^
If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost
The cost of each taco for the given problem is $5.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The cost of 2 tacos and 5 drinks cost is $20.
And, the cost of 3 tacos and 5 drinks cost is $25.
Suppose the cost of each taco and drink be x and y respectively.
Then the following equations can be written for the given case,
2x + 5y = 20 (1)
3x + 5y = 25 (2)
Subtract equation (1) from (2) to obtain,
3x + 5y - (2x + 5y) = 25 - 20
=> x = 5
Hence, the cost of a taco is $5.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?
Answer:
y = -7x - 16
Step-by-step explanation:
The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:
[tex]-9=-7(-1)+b[/tex]
[tex]-9=7+b[/tex]
[tex]b=-9-7=-16[/tex]
With this, we get the value -16, making the equation y = -7x - 16
