I think the answer is a.
Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.
\(-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b\)
Step 2: Now we write the equation in slope-intercept form.
\(y = -4x\)
Step 3: We can now change the above equation to standard form by moving variables to one side.
\(y = -4x\\\\4x + y = 0\)
Our answer is D. 4x + y = 0.
*Slope-intercept form: y = mx + b.
is 1/6 a rational number?
Answer:
yes 1/6 is a rational number.
Find the values of x and y
Answer:
y=30
x=60
Step-by-step explanation:
The triangle has all sides equal therefore all the angles are equal.
For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.
Therefore y=90-60
=30
x=180-(30+90)
=60
Carly and James share some money in a ratio of 5:3. Carly gets £70 more than James. Work out how much James gets.
James gets 140 pounds.
What is a ratio?
A ratio is a mathematical comparison of two or more values. A ratio can be written in various ways, such as "5 to 3" or "5:3", which means that for every 5 parts, there are 3 parts. Ratios can also be simplified to their lowest form, just like fractions.
In this case, Carly and James share money in a ratio of 5:3, meaning that for every 5 parts of the money that Carly gets, James gets 3 parts. If Carly gets £70 more than James, we can set up the equation as:
x + 70 = 5/8 * x
Where x is the amount James gets.
Solving this equation we get:
x = 140
Hence, James gets 140 pounds.
To learn more about the ratio, visit:
https://brainly.com/question/12024093
#SPJ1
If an 80 confidence interval and a 90 confidence interval are constructed from the same sample data, the 80 confidence interval will be___________________ the 90 confidence interval.
The 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.
If an 80% confidence interval and a 90% confidence interval are constructed from the same sample data, the 80% confidence interval will be narrower than the 90% confidence interval.
To understand why this is the case, we need to know that a confidence interval is a range of values within which we estimate the true population parameter lies. The level of confidence associated with the interval represents the probability that the true parameter falls within that range.
In this scenario, an 80% confidence interval means that there is an 80% probability that the true parameter lies within the interval. On the other hand, a 90% confidence interval means that there is a 90% probability that the true parameter falls within the interval.
To construct a narrower interval, we need to have a higher level of confidence. As the confidence level increases, the range of possible values also widens to accommodate the higher probability. Therefore, the 80% confidence interval will be narrower than the 90% confidence interval.
In conclusion, the 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.
To know more about confidence interval visit:
brainly.com/question/32546207
#SPJ11
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
Learn more about Scheduling here:
brainly.com/question/30012511
#SPJ4
Find the slope of the line that passes through (-10,5) and (-10,8).
Answer:
undefined
Step-by-step explanation:
Since the x value is the same, it looks like the slope is undefined.
Answer: The slope is undefined
Step-by-step explanation:
Find the difference in the y coordinates and divide it by the difference in the x coordinates
y coordinates : 5 - 8 = -3
x coordinates: -10 -(-10) = 0
slope: -3/0 = 0
i need help with this one?
The best description of the transformation for the image being projected on the retina is A. A dilation with a scale factor between 0 and - 1 and center at the nodal point.
How does the nodal point dilate the retina ?An mage is inverted and reversed as it passes through the lens of the eye, and is then projected upside down and reversed onto the retina. The process of transforming the image is called "rectification."
In mathematical terms, a dilation would have taken place because the object was shrunken by the eyes at the nodal point. When an object shrinks , then the scale factor is between 0 and 1 but because this image is inverted, the scale factor is between 0 and - 1.
Find out more on dilation at https://brainly.com/question/11662153
#SPJ1
if other factors are held constant, what is the effect of increasing the sample variance? group of answer choices it will increase the estimated standard error and increase the likelihood of rejecting h0. it will increase the estimated standard error and decrease the likelihood of rejecting h0. it will decrease the estimated standard error and increase the likelihood of rejecting h0. it will decrease the estimated standard error and decrease the likelihood of rejecting h0.
if other factors are held constant, what is the effect of increasing the sample variance: B. it will increase the estimated standard error and decrease the likelihood of rejecting h0.
What is a sample proportion?In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, the standard error of a sample proportion can be calculated by using this formula:
Standard error = √(p × (1 - p)/n)
Where:
p represents the sample proportion.n represents the sample size.Generally speaking, the effect of increasing the sample variance is an increase in estimated standard error and a decrease in the likelihood of rejecting H_{0} provided that other factors are held constant.
Read more on sample proportion here: brainly.com/question/23838641
#SPJ1
Can you check these for my please it would be much appreciated! And yes I will mark brainliest
ΔDEF ≅ Δ RPQ by ASA rule and line segment RF ≅ line segment HR.
In triangle DEF and triangle PQR,
We can see that:
DF = RQ = 5cm
0∠D = ∠Q = 60°
∠F = ∠R = 80°
So, we get that:
ΔDEF ≅ Δ RPQ ( ASA rule.)
Also, we are given that:
quadrilateral RAUF ≅ Quadrilateral HBQR
This means that:
line segment RF ≅ line segment HR.
Therefore we get that, ΔDEF ≅ Δ RPQ by ASA rule and line segment RF ≅ line segment HR.
Learn more about line segment here:
https://brainly.com/question/2437195
#SPJ1
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
Learn more about velocity
https://brainly.com/question/30559316
PLZ HELP ITS DUE TONIGHT!!! 50 POINTS IF RIGHT ILL GIVE U CROWN!! IF U DON’T KNOW THE ANWER THEN DON’T ANSWER IT PLZ NO TROLLING!!!
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
here is a simple on y=385x+985 find the x and y intercepts
Answer: x= -197/77
Step-by-step explanation:
y=385x+985
substitute y=0
0=385x+985
move the variable to the left
-385x=985
divide both sides
x= -197/77
Answer:
x intercept: 385
y intercept: 958
Step-by-step explanation:
y=385x+985 -> y=mx+b
y = b
y = 985
A line that passes through the points (-3,5) and (6,10)
Answer:
y = 5/9x + 19/3
Step-by-step explanation:
slope: 10 - 5 / 6 - (-3) = 5/9
point-slope form:
y - 5 = 5/9(x + 3)
y -5 = 5/9x + 4/3
y = 5/9x + 6 1/3
There were 15 bunnies at the pet store. Each of the 5 female bunnies had 5 babies! How many bunnies are there in the pet store now?
Answer:
45??!
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
If there were 15 bunnies 5 were females so there is 10 men and if each female had 5 babies each then that would be 25 babies plus the 10 men should be 35
If the longest side of a triangle is 12 inches, what must be true about the lengths of the remaining sides?
A group of researchers want to determine whether type of psychotherapy has an effect on the number of PTSD symptoms in refugees. Specifically, they wan to determine if MDMA, a hallucinogenic drug given in a one-time dose, has a greater effect on reducing PTSD symptoms in refugees than the standard PTSD treatment or a placebo control. The researcher randomly assigns 60 people to 1 of the 3 treatment conditions. What is the alternative hypothesis in notation form? u1 =/ u2 =/ u3 p > 0 u1 = u2 = u3 It cannot be written in notation form.
The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
We have:
A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.
As we can see in the problem, there are three treatment conditions are given.
Alternative hypothesis H₁: Not all means are equal
\(\rm H_0: \mu_1\neq \mu_2\neq \mu_3\)
Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
Learn more about the null hypothesis and alternative hypothesis here:
https://brainly.com/question/27335001
#SPJ1
A rectangle has length x+2 and width x+1. Which equation correctly represents the perimeter of the rectangle? 1. 2(x+2)=2x+4 2. 2(2x+3)=4x+6 3. 2(2x+3)=4x+3 4. 2(x+1)=2x+2
Answer:
4x+6
Step-by-step explanation:
P=2L+2W
P= 2(x+2) +2(x+1)
P= 2x+4+2x+2
P= 4x+6
I need help on this 8th grade math this is due tomorrow.
Answer:
u²=6.25p²=5Step-by-step explanation:
Raise 2.5 to the power of 2 =
6.25
Pull terms out from under the radical, assuming positive real numbers =
5
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \(\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}\).The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \(\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}\)In the other cases, Ayo wins £1.40, with \(1 - \frac{18}{72} = \frac{54}{72}\) probability.Hence, his expected profit for a single game is:
\(E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583\)
For 216 games, the expected value is:
\(E = 216(0.2583) = 55.8\)
Ayo can be expected to make a profit of £55.8.
To learn more about expected value, you can take a look at https://brainly.com/question/24855677
1.70p−0.34q 0.17(q 1)−0.85(p−1) =0 =0 consider the system of equations above. how many (p, q)(p,q)left parenthesis, p, comma, q, right parenthesis solutions does this system have?
The system has exactly one solution, which is (p, q) = (-0.2118, -8.0).
We are given the system of equations:
1.7p - 0.34q = 0
0.17(q+1) - 0.85(p-1) = 0
We can simplify the second equation by distributing the 0.17 and 0.85 terms:
0.17q + 0.17 - 0.85p + 0.85 = 0
0.17q - 0.85p = -0.72
Now we have two equations in two variables, which we can solve using substitution or elimination. We will use elimination here.
Multiplying the first equation by 5, we get:
8.5p - 1.7q = 0
Multiplying the second equation by 2, we get:
0.34q - 1.7p = -1.44
Adding these two equations, we get:
6.8p = -1.44
p = -0.2118
Substituting this value of p into either of the original equations, we get:
1.7(-0.2118) - 0.34q = 0
q = -8.0
So the system has exactly one solution, which is (p, q) = (-0.2118, -8.0).
Learn more about solution here
https://brainly.com/question/24644930
#SPJ11
Find the equation of clean pulsations for a
left-mounted beam (for x=0) and simple pressed on the right (for
x=l) Take into account that: (sinx)^2+(cosx)^2=1
(chx)^2-(shx)^2=1
We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.
To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:
d^2y/dx^2 + (chx)^2 * y = 0
Where:
y(x) is the deflection of the beam at position x,
d^2y/dx^2 is the second derivative of y with respect to x,
ch(x) is the hyperbolic cosine function.
To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.
Substituting this assumed solution into the differential equation, we get:
k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0
Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:
(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0
For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:
A + A * chx^2 = 0
B + B * chx^2 = 0
Simplifying these equations, we have:
A * (1 + chx^2) = 0
B * (1 + chx^2) = 0
Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:
1 + chx^2 = 0
Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:
1 + (1 - (sinx)^2) = 0
Simplifying further, we get:
2 - (sinx)^2 = 0
Solving for (sinx)^2, we find:
(sin x)^2 = 2
Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.
Learn more about simple support from
https://brainly.com/question/31510469
#SPJ11
I need help with this.
Answer:
14 students
Step-by-step explanation:
The ratio of students to teachers is 2:3. That can be written as a conversion factor: (2 students)/(3 teachers)
If there are 21 teachers, there would be
(21 teachers)*(2 students)/(3 teachers) = 14 students
The first row of the table shows the amount of dish detergent and water needed to make a soup solution.
a. Complete the table 2,3, and 4 batches.
b. How much water and detergent is needed for 8 batches? Explain your reasoning
(I have listed a picture of the chart). I’m
Answer:
Step-by-step explanation:
2. 1, 0.16
3. 1.5 , 0.24
4. 2, 0.32
what is the domain and range
Answer:
0,1,2,3 is the domain
-2,1,2,4 is the range
Monica has $10-off coupon. write an expression that describes the cost of t T-shirts, not including sales tax.
Answer:
19.95t - $10
Step-by-step explanation:
I think this is the answer but i could be absolutely wrong
Choose the correct symbol
Answer:
\(2,000lb < 1 t\)
Step-by-step explanation:
1 Ton = 2,240 lb
Please hurryyyyyyyyyyyy
Answer:
(x^2+10)^2
Step-by-step explanation:
Answer:
hey! you could always use m athway or p hotomath for this (:
The area of the cross section of the prism is 30 cm2.
The length of the prism is 25 cm.
Work out the volume of the prism?
The required volume of the prism when area of cross section of the prism and the length of the prism are given is calculated to be 750 cm³.
Area of cross section of the prism = 30 cm²
Length of the prism = 25 cm
Volume of the prism = ?
A prism is a polyhedron consisting of an n-sided polygon base. The relation between volume, base area and height of the prism is mathematically given as,
V = B H
where, B is Base area
H is Height of prism
V = 30 × 25 = 750 cm³
Thus, the required volume of the prism when area of cross section of the prism and the length of the prism are given is calculated to be 750 cm³.
To know more about volume:
https://brainly.com/question/12643532
#SPJ4
PLEASE HELP ME ASAP
ty
\(\huge\boxed{\sf{Hello\:there!}}\)
Parallel lines have the same slope.
We are given the equation of one line: y=-2x+1
Its slope is -2.
The line parallel to the given line has a slope of -2 as well.
Now, we have the slope of the line and a point that it intersects.
All we have to do is use Point-Slope Form:
y-y1=m(-x1)
y-1=-2(x-4)
y-1=-2x+8
y=-2x+9
Therefore, that's the equation of the line.
\(\huge\boxed{\bf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}\)\(\huge\bold{Good\:luck!}\)
\(\huge\mathfrak{LoveLastsAllEternity}\)
What’s 50 to the nearest 10?!
50.
Rounding 50 to the nearest 10 is like doing nothing. 50 is already in the spot.
Hope this helps :)
Answer:
10
Step-by-step explanation:
i think so it may helps you