Answer: [tex]y=\frac{1}{3}x+\frac{13}{3}[/tex]
Step-by-step explanation:
(slope = m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-6}{-1-5}=\frac{-2}{-6}=\frac{1}{3}[/tex]
[tex]y=mx+b, (5,6), (-1,4), m=\frac{1}{3}[/tex]
[tex]y=mx+b\\6=\frac{1}{3}(5)+b\\b=6-\frac{5}{3} \\b=\frac{13}{3}\\y=\frac{1}{3}x+\frac{13}{3}[/tex]
Find hypotenuse,perpendicular and base
Answer:
Consider the angle Ф.
the line opposite to Ф is the perpendicular -> PQ = 5cm
The base is the line with whom the perpendicular has 90° angle -> PR = 12cm
Finally, hypotenuse is the line opposite to the 90° which is QR= 13cm
Answer:
hypotenuse = QR = 13 cm
Perpendicular = PQ = 5 cm
Base = PR = 12 cm
How many liters each of a 35% acid solution in a 80% acid solution must be used to produce 60 L of a 65% acid solution?
Let x and y be the required amounts of the 35% and 60% acid solutions, respectively.
x liters of 35% acid solution contains 0.35x L of acid.
y liters of 80% acid solution contains 0.80y L of acid.
Together, a combined (x + y) L of mixed solutions contains (0.35x + 0.80y) L of acid.
You want to end up with 60 L of 65% acid solution, which means
x + y = 60
0.35x + 0.80y = 0.65 × 60 = 39
Solve for x and y :
y = 60 - x
0.35x + 0.80 (60 - x) = 39
0.35x + 48 - 0.80x = 39
0.45x = 9
x = 20
y = 40
The price of the cinemas meal deal has increased from £7.25 to £9.28.
What is the percentage change in price?
ejheheksjshdhdhgdgege is a irtel of the main thing is mute the main 22sec and jen best friends movie is mute the main thing for kids are vaccine safe to make a diy boat 6main thing for kids are vaccine the main thing for kids are vaccine safe 6to make a diy boat main 6thing for kids are vaccine safe 66G PHONE is a diy plane to the 7main thing for kids are vaccine
Answer:
8.28% increase i believe
Step-by-step explanation:
formula: final amount - initial ÷ initial amount.
9.28-7.25= 2.03. now divide by the initial amount. 2.03÷7.25=8.28.
so, an 8.28% increase to the price
What is the volume of the cylinder below?
Answer:
A
Step-by-step explanation:
v=πr2h
r=(3)²* 5
45π unit³
If p is true and ~ q is false, then p ~ q is _____ false.
a. sometimes
b. always
c. never
Please help with this question
9514 1404 393
Answer:
dy/dx = 2x +1
Step-by-step explanation:
The power rule can be used.
d/dx(x^n) = n·x^(n-1)
Then the derivative of x² is 2x¹ = 2x, and the derivative of x = 1x⁰ = 1.
The derivative of the function is ...
dy/dx = 2x +1
total mass vs. numbers of cd and numbers of cd
Answer: Choice A) M = 0.25n + 100
=============================================================
Explanation:
For now, I'll treat n as x, and M as y.
In other words,
x = number of CDsy = total mass in kgLet's select two points from this graph. I'll pick (200,150) and (400,200)
The slope of the line through those points is
m = (y2-y1)/(x2-x1)
m = (200-150)/(400-200)
m = 50/200
m = 0.25
Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b
y = mx+b
150 = 0.25*200+b
150 = 50+b
150-50 = b
100 = b
b = 100
You could also use (x,y) = (400,200) and you should get the same b value.
In fact, any other point from this graph works as well.
------------------------------
Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100
This then translates over to M = 0.25n + 100 which is choice A
To help verify this, let's say we plugged in n = 100
M = 0.25*n + 100
M = 0.25*100 + 100
M = 25 + 100
M = 125
Which is confirmed by what the graph shows. I'll let you check the other points as well.
In a nationwide survey conducted by a reputable research center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of megabanks, which controlled about % of the banking industry; % of those sampled responded in the affirmative. According to the report, "the margin of sampling error is / percentage points with a % level of confidence." Find and interpret a % confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks.
Answer:
(42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
Step-by-step explanation:
The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.
Given that :
Phat = 45%
Margin of error = ±3%
The confidence interval is defined as :
C. I = Phat ± margin of error
C. I = 45% ± 3%
Lower boundary :
45% - 3% = 42%
Upper boundary :
45% + 3% = 48%
C.I = (42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
The smallest whole number is _______.
Step-by-step explanation:
The smallest whole number is 0 .Which subset(s) of numbers does 5 3/8 belong to ?
Answer:
Rational number
Step-by-step explanation:
Given
[tex]5\frac{3}{8}[/tex]
Required
The subset it belongs to
Express as improper fraction
[tex]5\frac{3}{8} = \frac{43}{8}[/tex]
The above number is rational because it is represented by the division of 2 integers, i.e. 43 and 8 are integers
Express as decimals
[tex]5\frac{3}{8} = 5.375[/tex]
The above number cannot be classified as integers or whole because it has decimal parts
when 18 is subtracted from six times a certain number the result is 96 what is the number
Let the number be x
ATQ
[tex]\\ \sf\twoheadrightarrow 6x-18=96[/tex]
[tex]\\ \sf\twoheadrightarrow 6x=96+18[/tex]
[tex]\\ \sf\twoheadrightarrow 6x=112[/tex]
[tex]\\ \sf\twoheadrightarrow x=\dfrac{112}{6}[/tex]
[tex]\\ \sf\twoheadrightarrow x=7[/tex]
Need help is this right or what is the right answer
Answer:
A
Step-by-step explanation:
the answer is A and not C. equation in form of y=mx+b
so start off by (0,2) and you can see the graph go by 1 x and 1 y.
C=n+2
Answer:
A
Step-by-step explanation:
its starting point is 2 up to +2 and it goes up at out by 1 so n also ik this was already answered but i want the brainly points
what fraction of 1 day is 48 minutes
Answer:
48 ÷ 60 = 4/5
Step-by-step explanation:
4/5 is the answer
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
We require the number of minutes in a day.
i hour = 60 minutes
24 hours = 24 × 60 = 1440 minutes ( 24 hours in 1 day )
Then
fraction = [tex]\frac{48}{1440}[/tex] ( divide numerator/ denominator by 12 )
= [tex]\frac{4}{120}[/tex] ( divide numerator/ denominator by 4 )
= [tex]\frac{1}{30}[/tex]
Find the length of the missing side. If necessary, round to the nearest tenth.
A. 22
B. 15.6
C. 44
D. 484
Answer:
Option B, 15.6
Step-by-step explanation:
Using the Pythagoras theorem,
√(11²+11²)
= √(121+121)
= √(2×121)
= √121×√2
= 11√2
= 15.6
Answered by GAUTHMATH
Option B - 15.6 is Correct.
We have a figure in which a right angled triangle is shown with it base (b) = 11 and perpendicular(p) = 11.
We have to find the value of c or hypotenuse (h).
What is Pythagoras theorem?According to the Pythagoras theorem : for a right angled triangle -
[tex](h)^{2} = (b)^{2} +(p)^{2}[/tex]
According to the question -
[tex]b =11\\p =11\\h=c[/tex]
Substituting the values, we get -
[tex]c^{2} = (11)^{2} + (11)^{2} \\c^{2} = 121 + 121\\c^{2} =242\\c=15.55[/tex]
Rounding to nearest 10, we get -
c = 15.6
Hence , Option B is correct.
To solve more questions on Pythagoras theorem, visit the following link -
https://brainly.com/question/8587612
#SPJ2
I need help ASAP thank you
9514 1404 393
Answer:
C
Step-by-step explanation:
The graph shows two vertical asymptotes, so the relevant function will be zero in the denominator for two different x-values. The only possibility is ...
[tex]F(x)=\dfrac{1}{(x-1)(x+1)}[/tex]
Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?
Answer:
11.2
Step-by-step explanation:
yz = 11.2
since the corresponding arc of yz and xy are same, their measures will ba same too
Answered by GAUTHMATH
Answer:
11.2
Step-by-step explanation:
good luck!
There are 5 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?
Answer:
60
Step-by-step explanation:
To begin, we can look at combinations and permutations. A permutation or combination is when we need to find how many possibilities there are to choose a certain amount of objects (in this case, candidates) given an array of options (members on the board)
Combinations are when the order doesn't matter, and permutations are when the order does matter. Here, we know that we care whether someone is chairperson or secretary. If we were to just choose three for an "elite" board, and there were no specific positions in the board, then order would not matter. However, because it does matter which person gets which role, order does matter.
Assuming that someone cannot have more than one role, we know that this is a permutation without repetition. The formula for this is
(n!) / (n-r)!, where we have to choose from n number of people and choose r number of people. We have 5 members to choose from, and 3 people to choose, making our equation
(5!) / (5-3)! = 120 / 2! = 120/2 = 60
Drag the tiles to the correct boxes to complete the pairs.
Match each subtraction of complex numbers to its simplified difference.
Here are the complex numbers with their simplified differences
(7 -3i) - (6 - 4i) = 1 + i
(4 + 3i) - (6 +2i) = -2 - i
(4 + 5i) - (3 - 4i) = 1 + 9i
(5 + 4i) - (9 + i) = -4 + 3i
A complex number is when a real number and an imaginary number are added together
Complex numbers are usually in the form : a + bi
where a and b are real numbers and i is an imaginary number
An example of a complex number:
in this complex number : (7 -3i)
7 and 3 are real numbers while i is the imaginary number
How to simplify complex numbers
In order to simplify these set of complex numbers, remember that when there is a bracket in mathematics it signifies multiplication.
Here are the set of rules that guide multiplication :
1. When a negative value is multiplied by a positive value, the value becomes a negative value
For example, -1 x 1 = -1
2. When a positive value is multiplied by a positive value, the value remains a positive value
For example, 1 x 1 = 1
3. When a negative value is multiplied by a negative value, the value becomes a negative value
For example,-1 x -1 = 1
Solution to the questions:
Using the above information, the complex numbers can now be simplified
1. (7 -3i) - (6 - 4i)
this above equation becomes :
7 - 3i - 6 + 4i
add like terms together
7 - 6 - 3i + 4i = 1 + i
2. (4 + 3i) - (6 +2i)
this above equation becomes :
4 + 3i - 6 - 2i
add like terms together
4 - 6 +3i - 2i = -2 - i
3. (4 + 5i) - (3 - 4i)
this above equation becomes :
4 + 5i - 3 + 4i
add like terms together
4 - 3 + 5i + 4i = 1 + 9i
4. (5 + 4i) - (9 + i)
this above equation becomes :
5 + 4i -9 -i
add like terms together
5 -9 + 4i - i = -4 + 3i
In order to solve for complex numbers remember that a bracket in mathematics means that a multiplication operation should be carried out. Also, pay cognisance to the rules guiding the multiplication of negative and positive numbers
Here is a similar question and answer on how to solve for complex numbers : https://brainly.com/question/1459664?referrer=searchResults
What is the range of the function f(x) = 3x + 2 overthe interval -6 < x < 5?
Answer:
(-16, 17)
Step-by-step explanation:
The range of the function will be (-16, 17)
The range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)
What is Range?The difference between the highest and lowest values.
The given function is f(x) = 3x + 2
f(x) equal tp three times of x plus two.
The given interval is minus six less than x less than five.
-6 < x < 5
Which means the x values are -5, -4, -3, -2, -1, 0, 1, 2,3,4
Plus in the function
f(-5)=-15+2=-13
f(-4)=-10
f(-3)=-9+2=-7
f(-2)=-6+2=-4
f(-1)=-3+2=-1
f(0)=0+2=2
f(1)=3+2=5
f(2)=6+2=8
f(3)=9+2=11
f(4)=12+2=14
Hence the range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)
To learn more on Range click:
https://brainly.com/question/28135761
#SPJ2
Help please ……………….zzzz
1) I think 15 choose (d)
2) The choose (C) -4fg+4g
3) The choose (d) 3xy/2
4) The choose (a) ab/6
5) The choose (C) 2p+4q-6
6)
[tex]\pi {r}^{2} h = 3.14 \times {3}^{2} \times 1.5 = 42.39 {m}^{3} = 42.390 {m}^{3} [/tex]
Point 6 I think there is an error because the unit m must be m³ because it is r² (m²) and h(m) becomes m³.
I hope I helped you^_^
find the perimeter of 6 CM 6 CM 6 CM 6 CM
Answer:
P = 24
Step-by-step explanation:
Since all the sides are the same length, the shape is a square.
Multiply all sides by 6.
6 cm x 4 sides = 24
4x-5y +7z= -14
9x + 2y +3z= 47
-y + x -5z = 11
Find x if A'B
Answer:
x = 5
Step-by-step explanation:
Here we have the system of equations:
4x - 5y +7z= -14
9x + 2y +3z= 47
-y + x -5z = 11
We want to find the value of x.
To do it, we need to isolate one variable (not x) in one of the 3 equations. We could isolate y in the third equation to get:
x - 5z - 11 = y
now we can replace this in the other two equations to get:
4x - 5*( x - 5z - 11 ) +7z = -14
9x + 2*(x - 5z - 11 ) + 3z = 47
notice that now we have only two variables, now we need to simplify these two equations so we can get:
-x + 32z = -69
11x - 7z = 69
Now we do the same thing, this time we need to isolate z in one of the two equations, let's isolate it in the second one:
7z = 11x - 69
z = (11/7)*x - (69/7)
now we can replace this in the other equation to get:
-x + 32*( (11/7)*x - (69/7) ) = -69
now we have an equation for x, that we can solve to find its value:
-x + 32*(11/7)*x - 32*(69/7) = -69
x*(32*(11/7) - 1) = -69 + 32*(69/7)
x = [-69 + 32*(69/7)]/(32*(11/7) - 1) = 5
The value of x is 5.
HELP!!
Consider the polynomial
Answer:
1. coefficient of 3rd term = 1
2. constant term= 0
The coefficient of the third term is 1 while the constant term is 0 for the given expression.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
As per the given polynomial,
(1/2)a⁴ + 3a³ + a
Here a is a variable.
(1)
The third term is a and its coefficient is 1 as (1)a.
(2)
All terms have variable "a" thus none of the terms is constant so the constant term is 0.
Hence "For the following statement, the constant term has a coefficient of 0 and the third term has a coefficient of 1".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
find laplace transform of t+t^2 +t^3
Recall that
[tex]L_s\left\{t^n\right\} = \dfrac{n!}{s^{n+1}}[/tex]
where [tex]L_s\left\{y(t)\}[/tex] is the Laplace transform of y(t) into the s-domain.
Then you have
[tex]L_s\left\{t+t^2+t^3\right\} = \dfrac{1!}{s^{1+1}} + \dfrac{2!}{s^{2+1}} + \dfrac{3!}{s^{3+1}} = \boxed{\dfrac1{s^2} + \dfrac2{s^3} + \dfrac6{s^4}}[/tex]
It has been claimed from previous studies that the average diameter of ball bearings from this manufacturing process is 2.30 cm. Based on the sample of 50 that you collected, is there evidence to suggest that the average diameter is greater than 2.30 cm? Perform a hypothesis test for the population mean at alpha = 0.01.
a. Define the null and alternative hypotheses in mathematical terms as well as in words.
b. Identify the level of significance.
c. Include the test statistic and the P-value.
d. Provide your conclusion and interpretation of the results. Should the null hypothesis be rejected? Why or why not?
Diameters data frame of the first sample (showing only the first five observations)
diameters
0 3.46
1 2.64
2 1.89
3 2.56
4 2.09
Diameters data frame of the second sample (showing only the first five observations)
diameters
0 3.10
1 2.04
2 2.18
3 2.60
4 2.76
test-statistic = 2.06
two tailed p-value = 0.0394
Data for all 50 samples cannot be obtained, however, the solution below uses the 10 samples below to show how the hypothesis can be tested.
Answer:
Step-by-step explanation:
Average diameter, μ = 2.30
H0 : Average diameter is equal to 2.30cm
H1 : Average diameter is greater than 2.30 cm
The hypothesis :
H0 : μ = 2.30
H1 : μ > 2.30
Using the readings from the data above :
3.46, 2.64, 1.89, 2.56, 2.09, 3.10, 2.04, 2.18, 2.60, 2.76
Sample size, n = 10
Mean, xbar = ΣX/ n = 25.32 / 10 = 2.532
Sample standard deviation, s = 0.4973 (from calculator)
The test statistic :
(xbar - μ) ÷ (s/√(n))
T = (2.532 - 2.30) ÷ (0.4973/√(10))
T = 1.475
The Pvalue :
Degree of freedom, df = n - 1 ; 10 - 1 = 9
Pvalue(1.475, 9) = 0.087
Decision region :
Reject H0 ; If Pvalue < α;
Since 0.087 > 0.01 ; we fail to reject the Null and conclude that there is no evidence to suggest that the average diameter is greater than 2.30 cm
What percent is modeled by the grid?
A grid model with 100 squares. 33 squares are shaded.
23%
30%
33%
40%
Answer
33 percent
Step-by-step explanation:
Answer:
33 squares are shaded 23%
Step-by-step explanation:
I hope this answer works out for you if it doesn't I'm really sorry have a great day
An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours. A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider. After completing a study, the sociologist found that the average daily amount of time an adult spends on the internet is 5.9 hours, on average. As the sociologist sets up a hypothesis test to determine if their belief is correct, what is their claim?
a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.
b. The average daily amount of time an adult spends on the internet is different than 5.9 hours.
c. Adults spend a majority of their time on the internet.
d. The average daily amount of time an adult spends on the internet is 4.5 hours.
Answer:
a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.
Step-by-step explanation:
An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours.
At the null hypothesis, it is claimed that the mean is of 4.5 hours, that is:
[tex]H_0: \mu = 4.5[/tex]
A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider.
At the alternative hypothesis, the sociologist claim, is that the mean is different of 4.5, that is:
[tex]H_1: \mu \neq 4.5[/tex]
Thus, the correct answer is given by option a.
Which of the following would increase the width of a confidence interval for a population mean? Choose the correct answer below. A. Increase the level of confidence B. Decrease the sample standard deviation. C. Increase the sample size D. All of the above
Answer:
A. Increase the level of confidence
Step-by-step explanation:
The margin of error is given by:
The margin of error is:
[tex]M = \frac{Ts}{\sqrt{n}}[/tex]
In which T is related to the level of confidence(the higher the level of confidence, the higher T is), s is the standard deviation of the sample and n is the size of the sample.
Increase the width:
That is, increasing the margin of error, as the width is twice the margin of error, the possible options are:
Increase T -> increase confidence level.
Increase s -> Increase the standard deviation of the sample.
Decrease n -> Decrease the sample size.
Thus, the correct answer is given by option A.
Can someone help me please? I am struggling and I would be so happy if any of you helped me. Can someone help me out with this problem please?
The [tex]\pm[/tex] symbol means "plus minus".
Writing [tex]1.5 \pm 0.85[/tex] is the same as saying [tex]1.5 + 0.85\ \text{ or } \ 1.5 - 0.85[/tex]
The lower bound, or left endpoint, is 1.5 - 0.85 = 0.65
The upper bound, or right endpoint, is 1.5 + 0.85 = 2.35
Based on what you have, it looks like you probably followed those steps. However, you have the items in the wrong order. You should have 0.65 listed first and 2.35 listed last. Also, you need to have "or equal to" as part of the inequality sign.
So you should have [tex]0.65 \le x \le 2.35[/tex]
As for your graph, you have the endpoints in the wrong spot.
The left endpoint should be between the 0.6 and 0.7 to indicate 0.65
The right endpoint should be between 2.3 and 2.4 to indicate 2.35
See the diagram below.
A four digit password is a number that begins with a 3. If digits can be repeated how many possible passwords are there? show and explain your work
Answer:
The answer is 1,000
SInce the beginning number is 3 and there are ten possible numbers to put in the remaining three slots, there are exactly 1,000 possible combinations for a 3-digit code. The answer is 1,000. There are 3 rows of 10 digits. The number of combinations 10 to the thid power which is 1000 (10 * 10 * 10)