Answer:
Step-by-step explanation:
4(x + y) =[?]x +[ ]y
You multiply 4 through.
4(x + y) = 4x + 4y
Which is the equation of a parabola with vertex (0, 0), that opens to the left and
has a focal width of 12?
a. y2 = 12x
b. y2 = -12x
c.x = 12y
d. x = -12y
Answer:
Step-by-step explanation:
I'm going to guess that the square exponents are on the top y's only? then answer b) looks good
Answer:
b. y^2 = -12x
Step-by-step explanation:
The general form for the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.
suppose that 5% of the people with blood type o are left handed, 10% of those with other blood types are left-handed, and that 40% of the total population have blood type o. if you randomly select a left-handed person, what is the probability that this person will have blood type o? shaalaa
Given that 5% of people with blood type o are left-handed, the likelihood that this person has blood type o is 9/44.
what is probability ?A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.
given
E2 =Event that the person selected is of other than blood group O
(E3)=Event that selected person is left handed
∴P(E1)=0.30,P(E2)=0.70
P(E3/E1)=0.06andP(E3/E2)=0.10
By using Baye's theorem, P(E1/E3)=P(E1)⋅P(E3/E1)P(E1)⋅P(E3/E1)+P(E2)⋅P(E3/E2)
=0.30×0.06 /0.30⋅0.06+0.70⋅0.10
=0.0180/0.0180+0.0700
=0.0180/0.0880=180 /880=9 /44
Given that 5% of people with blood type o are left-handed, the likelihood that this person has blood type o is 9/44.
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3 and 1/3 - 2 and 1/5
Answer:
1.13333333333
1.13
Step-by-step explanation:
1: Gather all the numbers
2: Use a calculator to subtract the numbers
3: Answer is 1.13
Hope this helps.
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Tomas has 10 dollars Aisha has x more than Tomas if x = 5 how much money does Aisha have
Answer:
15
Step-by-step explanation:
If x = 5 dollars and Aisha has x (5 dollars) more than Tomas, then that means 10 + 5 = 15.
Answer:
aisha has 15 dollars
Step-by-step explanation:
the word more indicates that you are adding. since tomas has 10 and aisha has x (and x = 5) more (+), you are adding 5 to what tomas has.
10 + 5 = 15
a. ?−1529=314 what is the answer and how do you show your problem
The answer to the problem is 1843.
How to find the answer to the problemTo solve the equation ? − 1529 = 314,
Let the unknown be x
we need to isolate the variable on one side of the equation.
Adding 1529 to both sides, we get:
x − 1529 + 1529 = 314 + 1529
Simplifying, we get:
x = 1843
Therefore, the answer is x = 1843.
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What is 2 ÷ 8/9 ????
Answer:
\(2 \div \frac{8}{9} = 2 \times \frac{9}{8} = \frac{9}{4} = 2.25\)
I hope I helped you^_^
Answer:
Step-by-step explanation:
Use KCF method for fraction division.
K- Keep the first fraction.
Change the division to multiplication.
Flip the second fraction
2 ÷ 8/9 = \(2 * \dfrac{9}{8}\)
\(= 1*\dfrac{9}{4}=\dfrac{9}{4}\\\\= 2\dfrac{1}{4}\)
the input power to a motor is 300 w. in 20 s it lifts a load of 400 n through a height of 6.0 m. what is the efficiency of the motor?
By dividing the output power (work completed) by the input power ratio, the motor's efficiency may be determined. In this instance, the input power is 300 W, and the output power is 2400 joules (400 N * 6.0 m). As a result, the motor has an efficiency of 2400 J/300 W, or 8.0.
The input power is 300 W.
Time (t) = 20 s
Height is 6.0 metres.
(F) = 400 N Load
Output power (Pout) is calculated as follows: F x h = 400 N x 6.0 m = 2400 J
Efficiency (e) is calculated as Pout / P = 2400 J / 300 W = 8.0.
A motor's efficiency can be determined by dividing its output power by its input power. Assuming that the input power is 300 W and the output power equals the amount of work completed, the load (F) and height can be multiplied to determine the output power (h). The output power in this example is 2400 joules (400 N * 6.0 m) since the load is 400 N and the height is 6.0 m. The motor's efficiency is 2400 J/300 W, or 8.0, as a result. Knowing the input power, output power, and length of time it took the motor to lift the load will help you determine the efficiency. In this illustration, the time is 20 s, and the input power is 300 W.
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10+21 +32 +43 +54 +(-54)+(-43)+(-32)+(-21)+(-10)
Answer:
0
Step-by-step explanation:
If the bearing of p from y is 048degrees what is the bearing of y from p
Step-by-step explanation:
see photo for detailed analysis
What is simple linear regression? Give an intuitive definition and illustrate with a graph. Label residuals and explain how they are used in the construction of the regression line.
Simple linear regression is a statistical technique used to model the relationship between two variables by fitting a straight line to the data. It provides a way to predict or estimate the value of one variable (dependent variable) based on the value of another variable (independent variable).
In simple linear regression, the relationship between the independent variable (x) and the dependent variable (y) is represented by a straight line. The goal is to find the best-fitting line that minimizes the differences between the observed values of the dependent variable and the predicted values from the regression line.
A graph illustrating simple linear regression includes the scatterplot of the data points, the regression line, and the residuals. The scatterplot shows the individual data points with the independent variable on the x-axis and the dependent variable on the y-axis. The regression line is the line that best fits the data, minimizing the sum of the squared residuals.
Residuals are the vertical distances between the observed data points and the regression line. They represent the differences or errors between the actual values and the predicted values. By examining the residuals, we can assess how well the regression line fits the data. If the residuals are randomly scattered around zero, it suggests that the linear regression model is appropriate. If there is a pattern or systematic deviation in the residuals, it indicates that the model may not be capturing the underlying relationship accurately.
The regression line is constructed by minimizing the sum of the squared residuals, which is known as the least squares method. This ensures that the line represents the best linear approximation of the relationship between the variables.
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Which of the following is (-5x + 4) – (3x^2- 7x + 4) simplified and written in standard form?A. 3x^2 - 12x + 8B. 2x - 3x^2C. -3x^2 + 7x - 5xD. -3x^2 + 2x
Answer: D
Explanation:
The expression we have is:
\((-5x+4)-(3x^2-7x+4)\)First we use the distributive property to multiply the "-" by the second parenthesis, also we can ignore the parenthesis on the first term:
\(-5x+4-3x^2+7x-4\)This is because "-" by 3x^2 is equal to -3x^2. And "-" by -7x is equal to +7x, and "-" by +4 is equal to -4.
Next, we combine like terms (terms that have the same variable are like terms, also independent terms without variable are like terms):
\(2x-3x^2\)This is because -5x+7x =2x, and +4-4=0 so they are eliminated.
To present this in standard form we leave the term with the bigger exponent at the beginning of the expression:
\(-3x^2+2x\)Which is option D.
What are the steps to solve this
Malena's steps arranged sequentially are :
collecting like terms Using the appropriate numerical operator divide both sides by 3The first step :
2x + 5 = -10 - x
collecting like terms
2x + x = -10 - 5
step 2 : Using the appropriate numerical operator:
3x = -15
step 3 : divide both sides by 3 to isolate x
x = -5
Hence, the required steps as arranged above .
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Plz help me with this math problem
Answer:
leg 1 is on 6 see look at the dot thats on x and leg 1 on y is 1 so 6/1 then for number 2 9/5
Vanessa polled 30 seventh graders. Twelve students said they would vote for Sage in the upcoming election. There are 250 students who will vote in the election. How many votes do you predict Sage will get?
A.60 votes
B.90 votes
C.100 votes
D.150 votes
The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
The statements that are true for this parabola are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.
Option D.
Given the following data:
Vertex (h, k) = (4, 3).Point (x, y) = (8, 6).How to determine the equation of the directrix?Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.
Next, we would determine the distance where point (8, 6) lie on the parabola as follows:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the parabolic equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the statements that are true for this parabola in the image above include:
The point (8, 6) is the same distance from the point (4, 3) as it is from line (y = 1).The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
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topic: transversals.
3 problems
Answer:
1) 2x+19+22x-9=180
12x+22x=180-19+9
34x/34=170/34
x=5______________2) 10x-20 and 7x+4
10x-20=7x+4
10x-7x=20+4
3x=24
x=8
so each marked angle:
=7(8)+4
=60°
_______________
3)-4x+5-13x+39=180
-17x+44=180
-174=180-44
x=136/17
x=-8-4x-8+5
=32+5=137°
-13x-8+39
=104+39
=143
hope it helps...
have a great day!!
Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent
Answer:
Since she sold $16,000, she earned commission on $13,000 of it.
So she earned $420 from $13,000
420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
10
Step-by-step explanation:
Answer:
3.23% or 3.2% to the nearest tenth %
Step-by-step explanation:
Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
If the perimeter of a square is
72 inches, what is its area?
a. 72 in. 2
b. 324 in.2
C. 18 in.2
d. 5,184 in. 2
Answer: B
Step-by-step explanation:
A=a2
P=4a
Solving forA
A=1
16P2=1
16·722= 324in²
A satellite is in the shape of a cylinder with two hemispheres fitted snugly on either end. If the diameter of the cylinder is 2 m and its length is 12 m, find the volume of the satellite. Express the answer in terms of pi
The volume of the satellite is,
⇒ V = 12π m³
Given that;
A satellite is in the shape of a cylinder with two hemispheres fitted snugly on either end.
And, The diameter of the cylinder is 2 m and its length is 12 m.
Now, We know that;
Volume of cylinder = πr²h
Hence, We get;
The volume of the satellite is,
⇒ V = π × (2/2)² × 12
⇒ V = 12π m³
Thus, The volume of the satellite is,
⇒ V = 12π m³
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(BRAINILEST IF YOU ANSWER!) The graph below shows the costs of blueberries at two different fruit stands. Which fruit stand, A or B, offers a better deal on blueberries? Explain your thinking!!
Answer:
B
Step-by-step explanation:
B cost less money bet has the same weight as A
Answer:
B.
Step-by-step explanation:
B. is less money to buy the blueberries. The highest point you can buy them at is pretty low compared to A.
what are the coordinates of the yellow square
Find the range of the data set: 10, 18, 21, 28, 12, 20. A. 10 B. 12 C. 18 D. 20
Answer:
18
Step-by-step explanation:
The range of the data set is 18, which is calculated by subtracting the smallest value (10) from the largest value (28).
HELP QUICKLY THANK YOU!
The values are;
⇒ F ∩ H = Ф
⇒ F ∪ H = (- ∞, 7]
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
F and H are defined as;
F = {v | v < 4 }
H = {v | v ≥ 7 }
Now,
Since, F and H are defined as;
F = {v | v < 4 }
H = {v | v ≥ 7 }
Hence, The values are;
F ∩ H = {v | v < 4 } ∩ {v | v ≥ 7 }
= Ф
And, F ∪ H = {v | v < 4 } ∪ {v | v ≥ 7 }
= (- ∞, 7]
Thus, The values are;
⇒ F ∩ H = Ф
⇒ F ∪ H = (- ∞, 7]
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Solve for c.
3 − 7c − 20c = 7(–7c − 19) + 14c
c =
Answer:
\( \boxed{c = -17} \)
Step-by-step explanation:
\( = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17\)
Answer:
c = -17
Step-by-step explanation:
→Distribute the 7 to (-7c - 19):
3 - 7c - 20c = -49c - 133 + 14c
→Add like terms (-7c and -20c, -49c and 14c):
3 - 27c = -35c - 133
→Add 35c to both sides:
3 + 8c = -133
→Subtract 3 from both sides:
8c = -136
→Divide both sides by 8:
c = -17
An accounting firm is interested in estimating the error rate in a compliance audit it is conducting. The population contains 828 claims, and the firm audits an SRS of 85 of those claims. In each of the 85 sampled claims, 215 fields are checked for errors. One claim has errors in 4 of the 215 fields, 1 claim has 3 errors, 4 claims have 2 errors, 22 claims have 1 error, and the remaining 57 claims have no errors. (Data courtesy of Fritz Scheuren.) a Treating the claims as psus and the observations for each field as ssus, estimate the error rate, defined to be the average number of errors per field, along with the standard error for your estimate b Estimate (with standard error) the total number of errors in the 828 claims. c Suppose that instead of taking a cluster sample, the firm had taken an SRS of 85x 215 = 18,275 fields from the 178,020 fields in the population. If the estimated error rate from the SRS had been the same as in (a), what would the estimated variance û (SRS) be? How does this compare with the estimated variance from (a)?
The estimated error rate per field in the compliance audit is calculated, along with its standard error. The total number of errors in the population is also estimated. If an SRS of 18,275 fields had been taken instead of a cluster sample, the estimated variance for the error rate would be different.
To estimate the error rate per field (a), we calculate the total number of errors (sum of errors in each claim) and divide it by the total number of fields checked in the sample. The average error rate per field is then calculated along with its standard error. To estimate the total number of errors in the 828 claims (b), we multiply the estimated error rate per field by the total number of fields in the population.
If an SRS of 18,275 fields had been taken (c), the estimated error rate per field would be the same as in (a). However, the estimated variance (û) for the error rate would differ. In the original cluster sample, the variance was calculated based on the variation between different claims. In the SRS, the variance would be calculated based on the variation within the fields, assuming each field is an independent unit. Therefore, the estimated variance (û) in the SRS would be lower than the variance in the cluster sample, as the cluster sample accounts for the correlation within claims.
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Solve -9z >/= -72 CHECK YOUR ANSWER
Answer:
z ≤ 8
Step-by-step explanation:
-9z ≥ -72
Isolate the variable, z. Treat the ≥ as a equal sign, what you do to one side, you do to the other. Divide -9 from both sides. Note that when you divide a negative number, you will flip the sign:
(-9z)/-9 ≥ (-72)/-9
z ≤ (-72)/(-9)
z ≤ 8
z ≤ 8 is your answer.
~
what’s the value of x ?
simplify 7 √(175)
(no decimal answers accepted)
Answer:
35√(7)
Step-by-step explanation:
I think if it's wrong I'm sorry
Solve this inequality
2x2 – 15x < 27