Answer:
2
Step-by-step explanation:
The pair of linear equations 2x-3y = 14 and 3x - 2y = 4 has solution(s).
answer plz....
Answer:
2x -3y =1 and 3x-2y= 4 has
Step-by-step explanation:
The pair of linear equations 2x-3y=1 and 3x-2y=4 has one unique solution. , then it has a unique solution other wise not. Since , , it means the pair of linear equations has only one unique solution. Hence, the pair of linear equations 2x-3y=1 and 3x-2y=4 has only one unique solution.
a1/a2= 2/3
b1/b2= 3/-2 (-) cancle so it remains
c1 / c2 = 1/4
a1/a2 = b1/b2 not equal to c1/c2 as no solution
A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor Personal Friend Stay in Touch Mutual Friends Business Networking Other 600 210 105 650 224
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45
Complete Question
A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor
Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other
Men 600 210 106 45 40
Women 650 224 65 15 46
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45
Answer:
Correct option is C
Step-by-step explanation:
From the question we are told that:
Sample
[tex]n =1,000 men+ 1,000 women[/tex]
Factor Table
Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other
Men 600 210 105 45 40
Women 650 224 65 15 46
Generally the equation for Expected value for Men, Business and networking X is mathematically given by
[tex]X= \frac{Row Total * Column Total}{Grand Total}[/tex]
[tex]X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}[/tex]
[tex]X=30.015[/tex]
Generally the equation for Chi Contribution is mathematically given by
[tex]Y= {(45 - 30.015)^2}{30.015}[/tex]
[tex]Y=7.48[/tex]
[tex]Y \approx 7.5[/tex]
Therefore
Correct option is C
The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5
The expected value is calculated as:
[tex]X = \frac{RT * CT}{GT}[/tex]
Where:
RT represents the row total, CT represents the column total and GT represents the grand total.
For Men, Business and networking, we have:
[tex]X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}[/tex]
Evaluate the sum
[tex]X = \frac{1000 * 60}{2000}[/tex]
[tex]X = 30[/tex]
The contribution to the chi square test statistic for men who selected business networking is then calculated as:
Y = (Business Networking - X)^2 / X
This gives
[tex]Y = \frac{(45 - 30)^2}{30}[/tex]
Evaluate the difference
[tex]Y = \frac{15^2}{30}[/tex]
Evaluate the exponent
[tex]Y = \frac{225}{30}[/tex]
Evaluate the quotient
[tex]Y = 7.5[/tex]
Hence, the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5
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Convert 6 qt/min to gallons per hour
Answer:
90
Step-by-step explanation:
See image below:)
Can someone help me?
Answer:
The slope is 2
Step-by-step explanation:
Slope formula:
m=(y2-y1)/(x2-x1)
Given:
y2 = -10
y1 = -6
x2 = 2
x1 = 4
Work:
m=(y2-y1)/(x2-x1)
m=(-10 + 6)/(2 - 4)
m= (-4)/(-2)
m = 2
what is the solution
Answer:
c 13 over 12
Step-by-step explanation:
it help I makeit
Find the perimeter of each figure select the figure that have a perimeter of 20 units
what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
Which of the following is described by the notation AB || CD ?
A. Perpendicular lines
B. Intersecting lines
O C. Skew lines
D. Parallel lines
Answer:
D Parallel lines
Step-by-step explanation:
this is one of the easiest symbols there are.
2 little lines being perfectly parallel to each other. that symbolizes (surprise, surprise) that the two actually referenced lines are parallel.
The notation "AB || CD" represents parallel lines.
Explanation:
In geometry, parallel lines are lines that never intersect. They are always equidistant and maintain the same distance between each other at all points. The notation "AB || CD" indicates that line AB is parallel to line CD.
Perpendicular lines are lines that intersect at a 90-degree angle. The notation "AB || CD" does not represent perpendicular lines.
Intersecting lines are lines that cross or meet at a common point. The notation "AB || CD" does not represent intersecting lines.
Skew lines are lines that do not lie in the same plane and are neither parallel nor intersecting. The notation "AB || CD" does not represent skew lines.
Parallel lines are lines that do not intersect and maintain the same distance between each other at all points. The notation "AB || CD" explicitly indicates that line AB is parallel to line CD.
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What is the slope of the linear relationship shown in this table of values?
Answer: -2 (b)
Step-by-step explanation:
So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.
Take a pair of points like (-4, 11) and (2, -1)
{But you can use other points in the chart too. }
-4 to 2 is a distance of 6 --> that is the x
11 to -1 is a distance of -12 --> that is the y
We want the change in y over (or divided by) change in x.
-12 / 6 = -2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table
m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B
What is the amplitude of the sine graph shown??????plz help asapppp
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude is the distance between the midline and the maximum/minimum. Because the midline is located at y=1, then the maximum and minimum are both 2 units apart from the midline. That is your amplitude.
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answer:
C. G(x) = (x+3)^3
Step-by-step explanation:
Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm
How far did Chubby run?
Round your answer to the nearest cm
PLEASE HELP ILL GIVE BRAINLIEST
9514 1404 393
Answer:
6283 cm
Step-by-step explanation:
The circumference of the wheel is given by ...
C = πd
C = π(20 cm) ≈ 62.83185 cm
100 turns of the wheel will be a distance 100 times this value, or ...
race = 100C = 100(62.83185 cm) = 6283.185 cm
Chubby ran about 6283 cm.
__
Additional comment
To get the required 4 significant figures in the answer, we used the "pi button" on the calculator. Alternatively, you could use the ratio π ≈ 355/113, which is good for 6 significant figures.
I stores having a sale on jellybeans in trail mix. For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. Find the cost for each pound of jellybeans and each pound of trail mix
Answer: The cost of each pound of jellybean is $2.5
The cost for each pound of trail mix is $1.5
Step-by-step explanation:
Let the cost for each pound of jellybeans be x.
Let the cost of each pound of trail mix be y.
Based on the information given, we can form an equation which will be:
For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:
2x + 12y = 23 ...... i
For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:
5x + 3y = 17...... ii
2x + 12y = 23 ...... i
5x + 3y = 17...... ii
Multiply equation i by 5
Multiply equation ii by 2
10x + 60y = 115 ...... iii
10x + 6y = 34 ..... iv
Subtract iv from iii
54y = 81
y = 81/54
y = 1.5
The cost for each pound of trail mix is $1.5
From equation i
2x + 12y = 23
2x + 12(1.5) = 23
2x + 18 = 23
2x = 23 - 18
2x = 5
x = 5/2 = 2.5
The cost of each pound of jellybean is $2.5
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.
Answer:
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Conditional probability:
Event A: Leaves on time
Event B: Raining
Probability that the flight will be delayed is 0.08.
So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]
The probability that it will not rain and the flight will leave on time is 0.82.
0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:
[tex]P(A \cap B) = 0.1[/tex]
What is the probability that it is raining if the flight leaves on time?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]
0.109 = 10.9% probability that it is raining if the flight leaves on time.
the ratio of the following 30 minutes to 2 hours.
Answer:
30 minutes to 120 minutes.
Step-by-step explanation:
Answer:
2 hrs=120 min
30:120=1:4
Step-by-step explanation:
ans is 1:4
marke brainliest plzzzzzzz
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally
Answer:
h
Step-by-step explanation:
19 blocks
Answer:
original blocks =19
Step-by-step explanation:
original blocks -7 =12
Add 7 to each side
original blocks -7+7 =12+7
original blocks =19
4th grade math question:
jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.
Answer:
1 gallon
Step-by-step explanation:
gallons of paint needed; 4
gallons used: (3/4)*4
= 1 gallon was used
Answer:
Answer is 3 gallons
Step-by-step explanation:
1 gallon= 25%
2 gallons=50%
3 gallons=75%
3/4 is equivalent to 75%
Hope this helped!
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
PLSSSSS HELP ASAP PLSSSS !!!
Answer:
15
Step-by-step explanation:
6x+3 = 7x-12
6x-7x=-12-3
-x= -15
x= 15
6x+3 = 7x-12
6x-7x=-12-3
-x= -15 from now on we know that x is now 15
so the answer is 15
From CambridgeNEED HELP ASAP!!
the surface area of a sphere is S(x)=4pix^2, where x is the length of the radius of the sphere. restrict the domain to create a one-to-one function. find and describe the inverse function. {ANSWERS ARE PICTURED}
Answer:
the last answer
Step-by-step explanation:
S(x) = 4pix^2
replace S(x) with y => y = 4pix^2
switch x and y variables => x=4piy^2
solve for y
divide both sides by 4pi => x/(4pi) = y^2take the square root of both sides => 1/(2(pi))(sqrtpi) = yThat eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.
The 3rd answer is wrong because the answer says that the input of the inverse function is length of the radius, but that was the inverse of the original function, not the inverse function. For inverse functions, the input of the original function (in this case, length of radius) becomes the output and the output of the original function (in this case, surface area of the sphere) becomes the input of the inverse function.A survey of 423 people shows that 321 have never received a traffic violation. Find the sample proportion of those who have received a traffic violation. *
1 point
A. 13%
B. 24%
C. 32%
D. 76%
Multiple incorrect password attempts for a single login can, of course, sometimes be suggestive of an attempt to gain unauthorized access to an account. Typically there are about 52 such attempts noted each day. An analyst examining web server logs notes what appears to be an increase in these incidents over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2. Has there been a statistically significant increase in the number of attempts? Use the standard level for alpha.
Answer:
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
Step-by-step explanation:
Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.
At the null hypothesis, we test if the mean is the same, that is of 52. Thus:
[tex]H_0: \mu = 52[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So
[tex]H_1: \mu > 52[/tex]
Use the standard level for alpha.
So [tex]\alpha = 0.05[/tex]
The test statistic is:
We have the standard deviation for the sample, so t-distribution.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
52 is tested at the null hypothesis:
This means that [tex]\mu = 52[/tex]
Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.
This means that [tex]n = 30, X = 57, s = 17.2[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]
[tex]t = 1.59[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.0613.
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
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Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?
Answer:
53 yds
Step-by-step explanation:
Its just 3975 divided by 75
A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
what is the solution to the equation 9x+27=9( x+2) +9
Let's solve the equation:
9x + 27 = 9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2
9x + 27 = 9x + 18 + 9 ← Combine like terms
9x + 27 = 9x + 27 ← Subtract 27 from both sides
9x = 9x
0 = 0
{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}
hope this helps..........
Answer:
x=1
Step-by-step explanation:
9x+27=9(x+2)+9
9x+27=9x+18+9
9x+27=9x+27
9x=9x
x=1
If RT is 10 centimeters long, what is ST?
Answer:
Answer: a
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
First, find x
RT = 2x + 3x
10 = 2x+3x
10 = 5x
10/5 = 2
Now place 2 in place of x in the line ST
ST = 3x
ST = 3 * 2
ST = 6
The Coordinate Plane
BRE
-2
В
The midpoint of AB = ([?],[ ])
Answer:
0,0
Step-by-step explanation:
8b - 5a + 4 for a = -4 and b = 7
If anyone gets this tysm
Answer:
80Step-by-step explanation:
Given Question,
8b - 5a + 4
Given Values:
a = -4 and b = 7
Solution,
8(7) - 5(-4) + 4
= 56 + 20 + 4
= 80 (Ans)
Answer:
80
Step-by-step explanation:
8b - 5a + 4
a = - 4
b = 7
8(7) - 5(- 4) + 4
56 - (- 20) + 4
56 + 20 + 4
60 + 20
80
5х – 4 y = -10
3х + 2y = 16
Answer:
x= 2, y= 5
Step-by-step explanation:
5x -4y= -10 -----(1)
3x +2y= 16 -----(2)
(2) ×2:
6x +4y= 32 -----(3)
(1) +(3):
5x -4y +6x +4y= -10 +32
11x= 22
x= 22 ÷11 (÷11 on both sides)
x= 2
Substitute x= 2 into (2):
3(2) +2y= 16
6 +2y= 16
2y= 16 -6
2y= 10
y= 10 ÷2
y= 5
