What is the distance between the points (3,-2) and (-4, 1)?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{58} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {(3)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 9}}} [/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{58} }}[/tex] units
Hope I helped!
Best regards! :D
how do i estimate .48
To estimate, we can round to the nearest tenth.
How to round:
5 and above, round up.
4 and below, round down.
0.48 -> 0.5
Best of Luck!
Please help me, thank you.
Answer: 5/9 is ur answer
Step-by-step explanation:
Answer: 5/9
Step-by-step explanation:
5÷9 is 0.555 repeating (which is why there is a line at the top of the 5).
What is the solution to this equation?
6x = 36
O A. x = 30
O B. x = 216
C. x = 6
O D. x= 4
Answer:
C
Step-by-step explanation:
6x=36
6x/6 cross out
36/6=6
×=6
so the answer is C
(10 pts) Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.
Answer:
We conclude that the true average lifetime is smaller than what is advertised.
Step-by-step explanation:
The complete question is: Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 21 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using SPSS, resulting in the accompanying output.
Sample Mean Sample Standard Deviation
Lifetime 738.44 38.30
Test the appropriate hypothesis for this study (i.e., state the hypotheses, compute the test statistics, compute the p-value, and make a conclusion). What conclusion would be appropriate for a significance level of 0.05?
We are given that Light bulbs of a certain type are advertised as having an average lifetime of 800 hours.
A potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.
Let [tex]\mu[/tex] = true average lifetime of the light bulbs.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 800 hours {means that the true average lifetime is greater than or equal to what is advertised}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 800 hours {means that the true average lifetime is smaller than what is advertised}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean lifetime = 738.44 hours
s = sample standard deviation = 38.30 hours
n = sample of bulbs = 21
So, the test statistics = [tex]\frac{738.44-800}{\frac{38.30}{\sqrt{21} } }[/tex] ~ [tex]t_2_0[/tex]
= -7.36
The value of t-test statistics is -7.36.
Also, the P-value of test-statistics is given by;
P-value = P([tex]t_2_0[/tex] < -7.36) = Less than 0.05% {from t-table}
Since the P-value of our test statistics is less than the level of significance of 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the true average lifetime is smaller than what is advertised.
In division, does the big or small letter go first?
Answer: Big number
Step-by-step explanation:
In division, does the big or small letter go first?
Answer:
In division, the big one go first.
Step-by-step explanation:
So, when you do division, you can put the big or small ones first but, preferably the big ones because it will be easier to solve the equation.
4+y when y = 18 would the answer be 22
Yes you are correct.
You replace y with 18 to get 4+y = 4+18 = 22.
James went on a fishing trip.
this is rlly easy but im lazy and dont wana answer it, i mark brainliesttttt tyyy ❤️
Answer:
C and D is correct
Step-by-step explanation:
C: Debit is negative, and if you add 27 to -14, you get 13 which is Maria's account.
D: Its the same thing but opposite. 13 minus 27 is -14.
♡ Hope it helps ♡
Answer:
both c and d
Step-by-step explanatioin
nobody is answering my question so im saving up like 100 points so someone will actually do it so ye
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
207
Step-by-step explanation:
[tex]w^{2}[/tex]=9, but since there is a negative sign, it will be negative 9.
-11(uv) is -11(-8), and that equals 88.
2[tex]v^{2}[/tex] is 2(64), which equals 128.
-9+88+128 is 207.
Hope that helps!
Find the slope of a line parallel to the line:
5 x plus y equals 15
Answer:
the answer is y=-5
what's 198.040 divided by 98.100 and plus 100.000 times 4.300.
Answer:
868.065
Step-by-step explanation:
198.040 ÷ 98.1 + 100 x 4.3
= 2.0188 + 100 x 4.3
= 201.8756 x 4.3
= 868.065
Steps to solve:
198.040 ÷ 98.1
~Divide
2.0187563... or 2.02
Steps to solve:
100 * 4.3
~Multiply
430
Best of Luck!
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false
1 inch = 10 feet.
3 inches x 10 = 30 feet
5.5 inches x 10 = 55 feet
The actual room is 30 feet x 55 feet.
The answer is true.
Answer:
Round up to the Nernst number
Step-by-step explanation:
45 inches
This angle has all of the following names, except:
Answer:
its c. <vwx
Step-by-step explanation:
i got it right
driving 85 miles in 5/6 of a hour how many miles per hour
Hey there! I'm happy to help!
To get 5/6 to 1, you multiply by 6/5. This means that to see your mph, you multiply 85 by 6/5!
85(6/5)=102
The speed is 102 mph.
Have a wonderful day! :D
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
8
Step-by-step explanation:
[tex]\frac{2}{5} (1+24) + \frac{1}{2} (2-6)[/tex]=
[tex]\frac{2}{5} (25)+ \frac{1}{2} (-4)[/tex]=
[tex]10-2=8[/tex]
A randomized study compared two different techniques for improving one's memory. The treatment group using Technique A reported that the subjects were able to memorize a mean of 8.9 words. The treatment group using Technique B reported that the subjects were able to memorize a mean of 12.1 words. To determine if the results are significant, the data are re-randomized and the differences of the means are shown in the dot plot. What is the best conclusion to make based on the data?
Answer:
The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Step-by-step explanation:
Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.
The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.
The treatment group using technique A reported a mean of 8.9 words.
The treatment group using technique B reported a mean of 12.1 words.
After the data are re-randomized, the differences of means are shown in the dot plot.
The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Answer:
The answer is actually
-The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.
*just took the test hope this helps:)*
On a number line, point A is at coordinate 1. Point B is at coordinate-5. Find the
coordinate that is the midpoint from A to B.
Answer:
-2
Step-by-step explanation:
Midpoint is the half of the sum of endpointsPoint A = 1
Point B = - 5
Midpoint :
(1 + (-5))/2 = -4/2 = -2What is represented by the number below the abbreviation of the element in the periodic table? The atomic mass The atomic number The melting point The valence number
Answer:
Atomic Mass
Step-by-step explanation:
Correct answer as per the test
The abbreviation of the element in the periodic table will be atomic number. Then the correct option is B.
What is a periodic table?An arrangement of atoms by their atomic numbers, often in rows, such that atoms with comparable atomic structures (and thus comparable chemical characteristics) are shown in vertical slats.
The abbreviation of the element in the periodic table will be atomic number.
Then the correct option is B.
More about the periodic table link is given below.
https://brainly.com/question/11155928
#SPJ2
Which type of cell contains Cell Membrane?
Answer:
Eukaryotic cells contain cell membrane!
Help i dont understand Pls help :( Given g(x)=-4x-2g(x)=−4x−2, find g(-2)g(−2).
Answer:
[tex]g(-2)=6[/tex]
Step-by-step explanation:
Hi again!
So we have the equation:
[tex]g(x)=-4x-2[/tex]
To find g(-2), substitute -2 for x. Thus:
[tex]g(-2)=-4(-2)-2[/tex]
Multiply. -4 times -2 is positive 8:
[tex]g(-2)=8-2[/tex]
Subtract:
[tex]g(-2)=6[/tex]
And we're done!
297,060 + 0.0004839 =
Answer in Scientific Notation
Answer:
2.970600004839 × 10^5
Step-by-step explanation:
First, we add up these 2 numbers.
297,060 + 0.0004839 = 297060.0004839
Then, we convert that into scientific notation.
297060.0004839 = 2.970600004839 × 10^5
Finally, we check if it's right.
10^5 = 100000
2.970600004839 * 100000 = 297060.0004839
Hope this helps.
The sum of three numbers is 49. The second number is five less than three times the third number. If the first number is twice the amount of the third number, what is the value of the second number?
Answer:
(x, y, z) → (18, 22, 9)
Step-by-step explanation:
sum of three numbers is 49
x + y + z = 49
second number is 5 less than three times the third number
y = 3z - 5
first number is twice amount of third number
x = 2z
set of equations
x + y + z = 49
y = 3z - 5
x = 2z
plug in 2nd and 3rd equation into first
(2z) + (3z - 5) + z = 49
combine like terms
2z + 3z - 5 + z = 49
6z - 5 = 49
add 5 to both sides
6z = 54
divide by 6
z = 9
plug z into 2nd and 3rd equations
y = 3(9) - 5
y = 27 - 5
y = 22
x = 2(9)
x = 18
check:
18 + 22 + 9 = 49
(x, y, z) → (18, 22, 9)
Sam is 4 times as old as Allie. Write an equation to model this situation. a) s=4A b) A=4S c) S= 4+A d) A= 4+S
Answer:
a) s=4A
Step-by-step explanation:
If you read the equation out loud it may help!
Sam=4 times Allie
Sams age Equals 4 times the age of Allie
A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been traveling?
Answer:
time = distance / velocity
time = 34,200 meters / 20.1 meters per second
time = 1,701.4925373134 seconds
time = 28.36 minutes
Step-by-step explanation:
Which of the following could be a rational number? A. the sum of two irrational numbers B. the product of two irrational numbers C. the sum of a rational number and an irrational number D. the product of a rational number and an irrational number
Answer:
B. the product of two irrational numbers
Step-by-step explanation:
To be a rational number, we need to multiply two irrational numbers
An example would be
sqrt(2) * sqrt(2) = sqrt(4) = 2
Answer:
The product of two irrational numbers
Step-by-step explanation:
Which sets of numbers does -3/4 belong to
Answer:
It belongs to the... RATIONAL number set
which fraction represents 56 shares evenly distributed among 12 people
Answer:
14/3
Step-by-step explanation:
When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.
The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:
number of shares gotten by each person = total number of shares / total number of people
number of shares gotten by each person = 56 shares / 12 people
number of shares gotten by each person = 14/3 shares
Divide: 21 and 4,291,678
Answer: assuming you mean divide 4mil by 21, the answer is 204365.619
Step-by-step explanation:
Answer:
4.9x10⁻⁶
Step-by-step explanation:
21 / 4291678 = 4.9x10⁻⁶
PLEASE HELP ME I WILL MARK AS BRAINLIEST ANSWER
A map has a scale of
6 in=12 mi. If you measured the distance between two cities to
be 22 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.
Answer:
The answer is 264
Step-by-step explanation:
We start with a ratio of inches to miles- 6:12
we see that it can be simplified to 1:2
if we see that on the map it is 22in, 22:?
we got 1 to 22 by multiplying 1*22=22
do the same to the 12: 12*22=264