If two different lines intersect, then they intersect at one and only one point.
Answers
Answer:
Step-by-step explanation:
This is true in two-dimensional space.
In three-d space, the lines do not necessarily intersect.
Related Questions
4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)
Answers
Answer: Associative Property: (40+(12+18)+27. Evaluate: 97
A function is shown in the box. What is the value of this function for f(-8)?
(Write the answer as an improper fraction in lowest terms.)
Answers
Answer:
f(x) = (5/6)x - (1/4)
f(-8) = (5/6)(-8) - (1/4)
f(-8) = (5/3)(-4) - (1/4)
f(-8) = (-20/3) - (1/4)
f(-8) = (-80-3)/12
f(-8) = -83/12
Naomi's car used \frac{2}{5} 5 2 of a gallon to travel 15\tfrac{1}{2}15 2 1 miles. how many miles can the car go on one gallon of gas?
Answers
Answer:
To determine how many miles Naomi's car can go on one gallon of gas, we first need to determine how many gallons of gas the car used to travel 15\tfrac{1}{2}15 2 1 miles. We are told that the car used \frac{2}{5} 5 2 of a gallon to travel this distance, so we can multiply this value by 15\tfrac{1}{2}15 2 1 to get the total number of gallons used:
\frac{2}{5} \cdot 15\tfrac{1}{2} = 9
Therefore, the car used 9 gallons of gas to travel 15\tfrac{1}{2}15 2 1 miles. To determine how many miles the car can go on one gallon of gas, we need to divide the total number of miles traveled by the number of gallons used:
15\tfrac{1}{2} \div 9 = \frac{31}{18}
This means that the car can go 31/18 miles on one gallon of gas. Since this fraction is not in simplest form, we can further simplify it by dividing the numerator and denominator by the greatest common factor, which is 3:
\frac{31}{18} \div \frac{3}{3} = \frac{31}{18} \cdot \frac{3}{3} = \frac{31 \cdot 3}{18 \cdot 3} = \frac{93}{54}
Therefore, the car can go 93/54 miles on one gallon of gas. This fraction can be further simplified by dividing the numerator and denominator by the greatest common factor, which is 1:
\frac{93}{54} \div \frac{1}{1} = \frac{93}{54} \cdot \frac{1}{1} = \frac{93 \cdot 1}{54 \cdot 1} = \frac{93}{54}
Therefore, the final answer is that the car can go 93/54 miles on one gallon of gas.
A whale is 215 feet below sea level and descends 23 feet then ascends 119 feet. What is the location of the whale?
Answers
Answer:
354 feet below sea level
Step-by-step explanation:
Subtract 23 from 215, then add 119
let z be a standard normal variable. find the value of z if z satisfies p(z < z) = 0.9525.a. 1.60b. -1.67c. -2.00d. -1.60e. 1.67f. None of the above
Answers
The question is asking for the value of z that satisfies the probability that a standard normal variable z is less than z to be 0.9525. In other words, we want to find the z-score that corresponds to the 95.25th percentile of the standard normal distribution. Option (b) is the closest to the correct answer (-1.67). However, this could be due to rounding errors or differences in the table used. Therefore, the correct answer is (f) None of the above.
To solve this problem, we can use a standard normal distribution table or a calculator with a normal distribution function. Using a standard normal distribution table, we can look up the closest value to 0.9525 in the body of the table, which is 0.9515. The corresponding z-score is 1.65.
However, since the table only gives us values for the area to the left of a positive z-score, we need to subtract 1.65 from 0 (the mean of the standard normal distribution) to get the z-score that corresponds to the 95.25th percentile on the left tail. Therefore, the answer is -1.65. So none of above is correct.
To know more about standard normal variable visit:
https://brainly.com/question/31960478
#SPJ11
A set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. In each of the X values were multiplies by 2, then what is the correlation for the resulting data?
A. 0.10
B. -0.10
C. 0.20
D. -0.20
Answers
The correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.
Explanation:
Given that, a set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. And, in each of the X values were multiplied by 2, then we need to calculate the correlation for the resulting data.
When each of the X values is multiplied by 2, then the resulting correlation does not change. It is because the correlation coefficient of Pearson, r, only measures the linear relationship between two variables and not the scale of the variables.
Thus, the correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.
Know more about Pearson correlation here:
https://brainly.com/question/30916205
#SPJ11
Given: AABC, m_ACB=90°,
CD 1 AB, m ZACD=60º,
BC = 6 cm
Find: CD, Area of AABC
Answers
Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm
\(Area = \frac{1}{2} bh = \frac{1}{2}(12)(3\sqrt3)=6(3\sqrt3)=18\sqrt3\)
In a simple linear regression based on 44 observations, it is found that SSE = 2,578 and SST = 20,343. a. Calculate s2e and se: b. Calculate the coefficient of determination R2 .
Answers
In a simple linear regression based on 44 observations,the s2e and se values are 58.59 and 7.65, respectively. The coefficient of determination R2 is 0.8734.
a. To calculate s2e (the mean squared error) and se (the standard error), we use the formulas:
s2e = SSE / (n - 2) = 2,578 / (44 - 2) = 58.59
se = √(s2e) = √(58.59) = 7.65
b. The coefficient of determination R2 is given by:
R2 = 1 - (SSE / SST) = 1 - (2,578 / 20,343) = 0.8734
Therefore, the s2e and se values are 58.59 and 7.65, respectively. The coefficient of determination R2 is 0.8734.
For more questions like Regression click the link below:
https://brainly.com/question/28178214
#SPJ11
What is the measure of ZF? G 65° 10 10 1 O A. 65° B. 75° O c. Cannot be determined D. 55
Answers
Answer:
A
Step-by-step explanation:
The sides GH and FH are congruent, so Δ FGH is isosceles and the 2 base angles G and F are also congruent, then
∠ F = 65° → A
Miguel and his brother Ario are both standing 3 meters
from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's
remaining meters is 1:4.
4.4 meters
7.4 meters
17.6 meters
20.6 meters
Answers
Answer:
B. 7.4
Step-by-step explanation:
The screenshot under the question and I took the test and got a 100. Trust me!
Have a nice day ^_^
The total distance of the race will be 7.4 meters. the correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's remaining meters is 1:4.
The formula for the calculation is given as,
x = ( m ) / ( m + n) ( x₂ - x₁ ) + x₁
x = ( 1 ) / ( 5 ) ( 25 - 3 ) + 3
x = 22 / 5 + 3
x = 4.4 + 3
x = 7.4 meters
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
the number of times a variable appears in a data set is called _____
Answers
Answer:
The number of times a variable appears in a date set is called a constant.
how many positive integers are bigger than -3 and smaller than 5?
Answers
Answer:
4
Step-by-step explanation:
1,2,3,4
In year one, a dog's weight increased from 60 to 90 pounds. By what percentage did the dog's weight increase?
Answers
Answer:
The answer is 50%
Step-by-step explanation:
Which points are coplanar?
Answers
Answer: ABFE or ABJCDI
Step-by-step explanation: Any points that are in the same plane or face of a 3D figure
Review the title of the poem and lines 1-10. What does the word ""Road"" symbolize in the title? What do the woods symbolize? Explain what helped you determine what the symbols mean
Answers
To determine the symbolism of the word "Road" in the title and the woods in the poem, it is necessary to examine the context and themes of the poem.
The word "Road" often symbolizes a journey, choices, or the path of life, representing decisions and directions one takes. The woods, on the other hand, can symbolize the unknown, challenges, or a sense of being lost or overwhelmed. Understanding the symbolism requires analyzing the imagery, tone, and themes of the poem, as well as considering the poet's intentions and the larger context of the work.
learn more about:- symbols here
https://brainly.com/question/11490241
#SPJ11
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answers
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
Randois samples of four different models of cars were selected and the gas mileage of each car was meased. The results are shown below Z (F/PALE ma II # 21 226 22 725 21 Test the claim that the four d
Answers
In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .
To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.
To know more about hypothesis visit :
https://brainly.com/question/29576929
#SPJ11
Evaluate the expression (10 x 7} + (10 - 6).
Answers
10 times 7 = 70
10 - 6 = 4
70 + 4 = 74
Answer:
70x+4
Step-by-step explanation:
simplify the expression
tip: u can use mäthwäy next time ;) its really helpful
Step 1: Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place). Show your work and briefly explain each step. (Measures of Center are the Mean and Median of a data set)
Answers
*dot plot is shown in the attachment below
Answer:
Mean = 6.3
Median = 6
Step-by-step explanation:
Measures of centre, mean and median, can be calculated as follows:
First, bear in mind that each dot represents a value in the data set.
==>Mean:
Mean is the sum of all values in the data set divided by the number of data set we have.
The sum can be calculated as follows:
0 (1) = 0
4 (3) = 12
5(8) = 40
6(3) = 18
7(1) = 7
8(5) = 40
9(2) = 18
10 (3) = 30
Sum = 0+12+40+18+7+40+18+30 = 165
No of data set = 26
Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)
==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.
Thus, the 13th and 14th values are both 6.
Therefore, median = (6+6) ÷ 2 = 6
Answer:
The mode is 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.
Step-by-step explanation:
change wording
find the mean (average) of the data set below? 2/4 18/5 28/10 5/20
Answers
Step-by-step explanation:
sum of numbers divided by how many numbers there are.
(2/4 + 18/5 + 28/10 + 5/20)/4
we bring all fractions to .../20, as 20 is the smallest common multiple of all denominators. and then we can easily sum them all up.
so,
(10/20 + 72/20 + 56/20 + 5/20)/4 =
143/20 / 4 = 143/20 × 1/4 =
= 143/80 is the mean or average
f(x) = 6x - 4
number 6! hurryy plss i need helpp
Answers
Answer:
Step-by-step explanation:
Solution
Here,
f(x)= 6x-4
When x= -5
f(-5)=6×(-5)-4
=-34
Again,
When x=-1
f(-1)= 6×(-1)-4
=-10
When x= 2
f(2)= 6×2-4
= 8
Similarly,
When, x= 7
f(7)= 6×7-4
=38
Hope it helped you.
Plz mark me brainliest.
How do you write three consecutive even numbers?.
Answers
Three consecutive even integers can be written with difference of two.
The even integers are defined as the numbers that are completely divisible by two. The complete division means that the result of division will be zero. The even integers are always present after a gap of one number in between.
This means that there is a difference of two numbers between integers. Firstly of all, the first even number is two. Following it four. There is a gap of number that is three. Hence, to find the consecutive even integers, add number two to the number.
Learn more about even integers -
https://brainly.com/question/28185835
#SPJ4
Winner gets a thanks and brainliest
Answers
Answer:
7/17
Step-by-step explanation:
8/17 + 2/17 = 10/17
17/17 - 10/17 = 7/17
who has a better chance of winning the super bowl 2023
Answers
The Kansas City Chiefs has a better chance of winning the super bowl 2023.
In 1967's Super Bowl I, Las Vegas sportsbooks gave the Green Bay Packers a 14-point advantage against the Kansas City Chiefs. Nevada was the only state up until 2018 to allow legal Super Bowl sports betting.
The reigning champion Kansas City Chiefs are the early favorited in the Super Bowl 58 odds, according to the top NFL betting companies. At BetMGM, the Super Bowl 58 odds for the Kansas City Chiefs are +600. You can evaluate the odds on a team you prefer to discover the best price because competing sportsbooks provide different odds for each team to win the Super Bowl.
To learn more about winning here:
https://brainly.com/question/29197372
#SPJ4
There are 400 mangoes in a barrel. Each mango weighs 1. 8 pounds. What is the total weight of the mangoes in the barrel?
Answers
Answer:
720 pounds
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Number of mangoes in a barrel = 400
Each mango weight = 1.8 pounds
So, we can calculate the total weight of mangoes by using following formula,
Total weight = Number of mangoes in a barrel × Each mango weight
By putting value, we get
Total weight = 400 × 1.8 pounds
= 720 pounds
What is the product? Express the answer in lowest terms.
Two and three-fourths times one-half
A.One and one-eighth
B.One and three-eighths
C.Two and one-eighth
D.Two and three-eighths
Answers
Answer: B. 1 3/8 One and three-eighths
Step-by-step explanation:
Answer:
i think is b
Step-by-step explanation:
Two families have been out on dinner.at the end of the night they pay their 100 pound bill they use a 50 percent of coupon which halves their bill then they split their remaining amount equally between the two families
Answers
The amount that one family paid is 25 pound
Here two families had dinner and bill was 100 pound
They used the coupon on which they got 50% off
To find the percentage we have to use percentage formula:
\(=\frac{Value}{Total \ Value} *100\)
\(=\frac{50}{100} *100\)
\(= 50 \ Pounds\)
The remaining bill was 50 pound
Now this amount is divided between the 2 families
\(=\frac{50}{2}\)
\(= 25 \ pound\)
So one family has to pay 25 pounds
learn more about equal splitting here
https://brainly.com/question/14823790
#SPJ4
Question 6 (4 points) Three people use the following procedure to divide a (perfectly divisible and homogenous) cake. Player 1 first divides the cake into two pieces. Next, player 2 selects one of the two pieces. Player 1 gets the other share, while player 2 must now divide the piece he or she picked. Finally, player 3 chooses one of the two pieces that player 2 just created, and player 2 consumes what remains. Suppose that each player cares only about the size of the piece of cake he or she ultimately obtains. Compute the subgame perfect Nash equilibrium (please provide complete strategies, not just the equilibrium payoffs).
Answers
The subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.
The subgame perfect Nash equilibrium and complete strategies are as follows:
First subgame: Player 1 splits the cake into two pieces. Player 1 takes the smaller of the two pieces, while Player 2 takes the larger. Next, Player 2 divides the larger piece into two. Player 2 chooses the piece that is equal in size to the smaller piece of the initial division. Player 2 gives the other piece to Player 3, who must now select one of the two pieces. If Player 3 selects the smaller piece, Player 2 will obtain the larger of the two pieces that Player 2 divided, which is greater than or equal in size to the piece Player 2 gave to Player 3. As a result, Player 3 chooses the larger of the two pieces. Therefore, the subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.Learn more about Nash equilibrium:
brainly.com/question/29398344
#SPJ11
Plzzzzzzz I neeed number 7 I’ll give brainly
Answers
Answer:
Removing the -6 makes the average go from 4.1 to 5.2
Removing the -6 makes the median go from 4 to 5
Step-by-step explanation:
Average:
-6+3+3+3+3+5+6+6+8+10 = 41
41/10 = 4.1 (This is the mean/average)
If we remove -6, then:
3+3+3+3+5+6+6+8+10 = 47
47/9 = 5.2222 (This would be the new average)
So removing the -6 makes the average go from 4.1 to 5.2
Median:
The median of (-6+3+3+3+3+5+6+6+8+10) is between 3 and 5, so the median is 4.
Without -6, the median of (3+3+3+3+5+6+6+8+10) is 5.
So removing the -6 makes the median go from 4 to 5
You are trying to decide which of two automobiles to buy. The first is American-made, costs $3.2500 x 104, and travels 25.0 miles/gallon of fuel. The second is European-made, costs $4.7100 x 104, and travels 17.0 km/liter of fuel. If fuel costs $3.50/gallon, and other maintenance costs for the two vehicles are identical, how many miles must each vehicle travel in its lifetime for the total costs (puchase cost + fuel cost) to be equivalent? i||| x 105 miles. eTextbook and Media Hint Assistance Used The total cost of each vehicle is the purchase price plus the fuel price. The fuel price depends upon the fuel efficiency, the miles driven, and the unit fuel cost. Solve simultaneous equations for the miles driven.
Answers
For the total expenditures to be similar, each car must travel 165.79 x 10^3 miles or 1.6579 x 10^5 miles during its lifetime.
The cost of the first automobile is $3.25 x 10^4, and its fuel efficiency is 25.0 miles/gallon of fuel.
The cost of the second automobile is $4.71 x 10^4, and its fuel efficiency is 17.0 km/liter of fuel.
The cost of fuel is $3.50/gallon.
The lifetime of each vehicle requires calculating the number of miles that each automobile must travel for the total cost (purchase cost + fuel cost) to be equivalent.
The total fuel cost of the first vehicle is:
Total Fuel Cost 1 = Fuel Efficiency 1 / Fuel Cost Per Gallon
= 25.0 / 3.50
= 7.1429
The total fuel cost of the second vehicle is:
Total Fuel Cost 2 = Fuel Efficiency 2 * Fuel Cost Per Gallon / Km Per Mile
= 17.0 * 3.50 / 0.621371
= 95.2449
The total cost of the first vehicle for a lifetime of x miles driven is:
Total Cost 1 = Purchase Cost 1 + Fuel Cost 1x
= $3.25 x 10^4 + 7.1429x
The total cost of the second vehicle for a lifetime of x miles driven is:
Total Cost 2 = Purchase Cost 2 + Fuel Cost 2x
= $4.71 x 10^4 + 95.2449x
To find the number of miles each vehicle must travel in its lifetime for the total costs to be equivalent, we need to solve these simultaneous equations by setting them equal to each other:
$3.25 x 10^4 + 7.1429x = $4.71 x 10^4 + 95.2449x
Simplifying the equation:
-$1.46 x 10^4 = 88.102 x - $1.46 x 10^4
Solving for x:
x = 165.79
Therefore, the number of miles that each vehicle must travel in its lifetime for the total costs to be equivalent is 165.79 x 10^3 miles or 1.6579 x 10^5 miles.
Learn more about total expenditures
https://brainly.com/question/31197660
#SPJ11