Two digit prime numbers formed by choosing two different digits from the given {2,7,8,9} set of numbers are 97, 29, 79, 89.
As given in the question,
Given set of numbers are :
{ 2,7,8,9}
Two digit prime numbers formed by given set of numbers are as follow:
When 2 and 8 are at unit place, number formed is a even composite number which is not prime.
Number formed when 7 at unit place are:
27, 87, 97 from which only 97 is prime.
Number formed when 9 at unit place are:
29, 79, 89 all three are prime numbers.
Therefore, two digit prime numbers formed by choosing two different digits from the given {2,7,8,9} set of numbers are 97, 29, 79, 89.
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PLEASE HELP ME I NEED HELP ON MATH
Answer: THERE ARE NO RESTRIcTIONS
Step-by-step explanation: X cancels out every number
-4 2/3+2 1/2
in mixted number form
A spurious correlation is the implied causal relationships between events that are ________ linked.
A spurious correlation is the implied causal relationships between events that are statistically linked.
Spurious correlation;
A spurious correlation (or spuriousness) in statistics is an apparent causal relationship between two variables. Any reported dependencies between variables are solely the result of chance or are both a result of an unidentified confounder when there is misleading correlation.
When the price of higher education and the cost of living both rise, for instance, this doesn't necessarily indicate a causal link between the two factors because higher education tuition isn't always the result of rising living costs.
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Find the Volume (pls help me)
Answer:
Step-by-step explanation:
32
NAROL is a long range hyperbolic navigation system. Suppose two NAROL transmitters are located at the
coordinates (-200, 0) and (200, 0), where unit distance on the coordinate plane is measured in miles. A
receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances
from the receiver to these transmitters is 160 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the
hyperbola?
Answer:
NORAL follows a hyperbolic path.
Equation of hyperbola; x²/6400 + y²/33600 = 1
Given,
The coordinates where the two NAROL transmitters are located = (-200, 0) and (200, 0)
The distance from receiver to these transmitters = 160 miles
We have to find the standard form of the hyperbola that the receiver sits on ;
Here,
The transmitters behave as foci of the hyperbola.
The center of hyperbola; (h, k) = (0, 0)
The distance from center to focal point,
c = 200
Square both sides
c² = 40,000
The distance from the receiver to the transmitters is given as:
2a = 160
Divide both sides by 2
a = 80
Square both sides
a² = 6400
We have:
b² = c² - a²
This gives
b² = 40000 - 6400
b² = 33600
The equation of a hyperbola is:
(x - h)²/a² + (y - k)²/b² = 1
So, we have:
(x - 0)²/6400 + (y - 0)²/33600 = 1
Therefore,
The equation of the hyperbola is:
x²/6400 + y²/33600 = 1
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A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is?.
The probability that the sample mean will be between 181 and 185 is 0.3039.
Given,
The mean of a population, μ = 180
Standard deviation, σ = 36
Number of sample observations, n = 84
We have to find the probability that the sample mean will be between 181 and 185;
Lets convert 181 and 185 into z scores;
z = (x - μ) / (σ/√n)
x = 181z = (181 - 180) / (36/√84)
z = 1/3.93
z = 0.25
x = 185z = (185 - 180) / (36/√84)
z = 5 / 3.93
z = 1.27
Lets look z score table;
The area to the left of z = 0.25 is 0.5987
The area to the left of z = 1.27 is 0.8980
The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.
That is,
The probability that the sample mean will be between 181 and 185 is 0.3039.
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What is n 1.8n+0.2=3.2n+1
n = -0.5714
Step-by-step explanation:
[tex]{ \tt{1.8n + 0.2 = 3.2n + 1}}[/tex]
[tex]{ \tt{1.8n = 3.2n + 1 - 0.2}}[/tex]
[tex]{ \tt{1.8n = 3.2n + 0.8}}[/tex]
[tex]{ \tt{1.8n - 3.2n = 0.8}}[/tex]
[tex] { \tt{ - 1.4n = 0.8}}[/tex]
Divide both sides by -1.4 then,
[tex]{ \tt{ \frac{ - 1.4}{ - 1.4}n = - \frac{ 0.8}{1.4}}} [/tex]
Let us convert 0.8 to 8 and 1.4 to 14 by shifting the points. Then,
[tex]{ \tt{n = - \frac{8}{14}}} [/tex]
[tex]{ \tt{n = - \frac{4}{7}}} [/tex]
[tex]{ \blue{ \boxed{ \green{\sf{n = -0.571428571}}}}} [/tex]
A fair coin can only land on heads or tails with equal probability.
What is the probability it lands on tails?
Answer: 50% ion know
Step-by-step explanation: its half and half sorry im st*pid
Which choice is equivalent to the product below when x > 0?
LIX
81
OA.
-186
O B. BT
O c.
O D.
xlo
1/9 is Square root of expression .
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root. Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to squaring an integer is to find its square root.= √1/x² * √x²/81
= √x²/ x² * 81
= √1/81
= 1/9
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what is 2 1/2 feet in inches form.
Answer:
30 inches
Step-by-step explanation:
1 ft=12 inches
We multiply this fraction by 12
2 1/2x12
5/2x12/1
60/2
30 inches
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Charmaine worked 27 hours last month and earned $9 per hour. She spent $19 of her earnings since then. How much money does she have left?
Answer:
224
Step-by-step explanation:
(27x9) - 19
243 - 19 = 224
20
Write "less" or "greater" in the blank.
304 is than 340
Answer:less than
Step-by-step explanation:304 is a smaller number than 340
select each equation that the number 10 the power of 2
All the equations that have 10² = 100 as a solution are given as follows:
4.08x = 4080.97x = 97How to verify if 10² = 100 is a solution to the equation?We have to solve the equations and verify if the solution is equals to 100.
All the equations have the following format:
ax = b
Isolating the variable x, the solutions are given as follows:
x = b/a.
The first equation is:
0.031x = 31
The solution is:
x = 31/0.031 = 1000 = 10³.
The second equation is:
0.501x = 501
The solution is:
x = 501/0.501 = 1000 = 10³.
The third equation is:
4.08x = 408.
The solution is:
x = 408/4.08 = 100 = 10². (one of the correct options).
The fourth equation is:
0.97x = 97.
The solution is:
x = 97/0.97 = 100 = 10². (one of the correct options).
The fifth equation is:
0.55x = 550.
The solution is:
x = 550/0.55 = 1000 = 10³.
Missing informationThe equations are:
0.031x = 31.0.501x = 5014.08x = 408.0.97x = 97.0.55x = 550.The problem asks for which of these equations 10² = 100 is a solution.
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how long the chord of the circle 4x²+4y²-8x-8y+3=0 whose the end point where the curve y=1/x cut the circle?
The length of the chord is 6
What is a circle simple definition?Simply said, a circle is a rounded form without any edges or line segments. It has the geometric form
What is the General Equation of Circle?The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The center of the circle in this general form of the equation of a circle is (-g, -f), and its radius is given by r = g2+f2cg2+f2c.
What is C in the General Equation of Circle?The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The coordinates of the circle's center and radius are determined using this general form. The equation in this case represents a circle that does not pass through the origin because c is a constant term.
We possess
4x2+4y2−12x+32y=27…(1)
We shall have y=0 when the specified circle intersects the x-axis, therefore
4x2+4y2−12x+32y=27
=>4x2−12x=27
=>4x2−12x−27=0…(2)
The answers to (2) are:
x1=−3/2
x2=9/2
Thus, the supplied circle intersects the x-axis at the following points:
A(−3/2,0) and B(9/2,0)
The length of the chord we want is defined as the distance d between these sites. The well-known formula for calculating the distance between points A and B is used to calculate the distance d:
d=root((9/2−(−3/2))^2+(0−0)^2)
√=6^2
=6
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Put the following equation of a line into lope-intercept form,implifying all fraction 8x12y=108
The slope of the line from the equation is 2/3.
The line:
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions.
The formula of a line:
y = mx + c
m = slope
c = y-intercept
Here we are provided with the equation:
8x - 12y = 108
12y = 8x - 108
y = 2/3x - 9
So by equating we get the slope:
m = 2/3
Therefore the slope is 2/3.
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5 =7/2 (3x + 2)
what is x?
Answer:
x=11
Step-by-step explanation:
ANSWER FOR BRAINLIST DUE TODAY!!
Answer:
c is correct.
Step-by-step explanation:
In c, the top equation stays the same.
Multiplying both sides of the bottom equation (3x - y = 4) by 2, we have
6x - 2y = 8.
HELP MEEEE I DONT UNDERSTAND PLS EXPLAIN
Answer:
y = 3x
Step-by-step explanation:
12x = 4y is the same as
4y = 12x Now divide both sides by 4
y = 3x
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by the wall street journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number. A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used? assume confidence. B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, what sample size should be used? assume confidence.
If we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, then 56 sample size should be used and if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, then 22 sample size should be used.
In the given question,
A preliminary sample conducted by the wall street journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes.
(a) We have to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used.
Assuming the confidence interval 98% and margin error of 75 seconds.
We can write 98% as 0.98.
So the value of z at 98% confidence interval using the standard table of z is 2.326.
Standard Deviation= 4 minutes
Converting minutes in seconds so,
Standard Deviation= 4*60
Standard Deviation= 240
Margin of error is 75 seconds.
So the sample size = (Value of z * Standard Deviation)/Margin Error
Sample Size = ((2.326*240)/75)^2
Sample Size = (558.24/75)^2
Sample Size = (7.4432)^2
Sample Size = 55.401
Approx value of Sample Size = 56
Hence, if we want to estimate the population mean time for previews at movie theaters with a margin of error of 75 seconds, then 56 sample size should be used.
(b) We have to estimate if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, what sample size should be used.
The given margin of error is 75 seconds.
Now converting the error in minute by dividing 60.
Now the margin of error = 75/60=5/6 minute
Standard Deviation= 4 minutes
The confidence interval 98% and margin error of 75 seconds.
We can write 98% as 0.98.
So the sample size = (Value of z * Standard Deviation)/Margin Error
sample size = {(0.98*4)/(5/6)}^2
sample size = {6(0.98*4)/5}^2
sample size = (6*3.92/5)^2
sample size = (23.52/5)^2
sample size = (4.704)^2
sample size = 22.13
Approx value of Sample Size = 22
Hence, if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, then 22 sample size should be used.
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What is the slope of the line that passes through the points (-2, 2) and (-4, -1)
Answer:
f(x) = 1/2x + 3
Answer:
3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
(-1-2)/(-4+2)
-3/-2
the slope of the line is 3/2
Three eighths of the 48 roses were red. (a) How many roses were red? (b) How many roses were not red? (c) What fraction of the roses were not red?
Answer:
A. 18 roses were red.
B. 30 roses were not red.
C. 5/8 were not red.
Step-by-step explanation:
In order to do this question, we first need a calculator. Then, we take three eighths and divide them on the calculator to get:
3 divided by 8 = 0.375.
Then, on the calculator again, we take the 48 roses and find the percentage of the roses that were red, by multiplying it by 0.375:
0.375 x 48 = 18.
A. 18 roses were red.
Now, for the next question, how many roses were not red. We take the 48 roses and subtract it from the roses that were red, which were 18 roses:
48 - 18 = 30.
B. 30 roses were not red.
Now, to find the fraction of the roses that weren't red. We take the 30 roses that weren't red and divide it by the total amount of 48 roses:
30 divided by 48 = 0.625.
In order to make 0.625 into a fraction, we take the higher, but lowest 100th place we can make for 0.625:
625/1,000.
Now, we simplify it:
625 divided by 5 = 125
1,000 divided by 5 = 200
Now, we have 125/200.
Simplify more:
125 divided by 5 = 25
200 divided by 5 = 40
Once more:
25 divided by 5 = 5
40 divided by 5 = 8
Our final fraction is 5/8.
C. The fraction of the roses that were not red are 5/8.
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Select the correct answer. For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
x + y ≤ -4 and 3x + 2y ≤ -5
======================================================
Explanation:
The given point has coordinates of x = 3 and y = -7.
Let's plug those coordinates into the first inequality of choice A.
x+y < -4
3 + (-7) < -4
-4 < -4
The last statement is false. A number cannot be smaller than itself.
Since the last inequality is false, it causes the first to be false for those x,y values. Therefore, we rule out choice A.
--------------
We'll do the same idea for the first inequality in choice B
x + y ≤ -4
3 + (-7) ≤ -4
-4 ≤ -4
This time we get a true statement at the end. The key difference is the "or equal to" portion.
Let's check the other inequality of choice B
3x + 2y < -5
3(3) + 2(-7) < -5
9 - 14 < -5
-5 < -5
We run into a similar issue as we did with choice A. We have no choice but to cross choice B off the list as well.
--------------
Choice C is eliminated for the same reason choice A was.
Choice D is the final answer because both inequalities involve "or equal to". So the -5 < -5 is now -5 ≤ -5 which is true.
It turns out that (3, -7) is on the boundary of each shaded region. It's at the intersection of the two boundary lines x+y = -4 and 3x+2y = -5.
D. x + y ≤ -4
3x + 2y ≤ -5
To see if (3, -7) satisfies both inequalities.
x + y ≤ -4:
Substitute x = 3 and y = -7 into the first inequality:
3 + (-7) ≤ -4
-4 ≤ -4
Since -4 is less than or equal to -4, the first inequality is true for the point (3, -7).
3x + 2y ≤ -5:
Substitute x = 3 and y = -7 into the second inequality:
3(3) + 2(-7) ≤ -5
9 - 14 ≤ -5
-5 ≤ -5
Since -5 is equal to -5, the second inequality is also true for the point (3, -7).
(✿◕‿◕✿)
2b plus 4a minus a minus 2 plus 12b
The value of the expression 2b plus 4a minus a minus 2 plus 12b is 3a + 14b - 2.
Expression:
An expression is defined as the a combination of operators, constants and variables. And it may consist of one or more operands, and zero or more operators to produce a value.
Given,
Here we have the statement "2b plus 4a minus a minus 2 plus 12b".
Now, we have to find the simplified form of this statement.
In order to find the simplified form,
First we have to convert the statement into expression form, then we get
2b plus 4a minus a minus 2 plus 12b = 2b + 4a - a - 2 + 12b
Now, we have to combine the like terms, then we get,
=> (2b + 12b) + (4a - a) - 2
Perform the appropriate arithmetic operations, then we get the simplified form of the expression as,
=> 14b + 3a - 2
Now, we have to arrange them in order then we get,
=> 3a + 14b - 2
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How would you graph y =- 3x 7?.
Any algebraic expression can be represented graphically. The given problem can be solved as shown in the image attached.
A polynomial in one variable is also an algebraic expression. It can be written in the form aˣn. Here, n is a non-negative integer and a is a real number. The a is also called the coefficient of the term.
The given problem also consists of a polynomial in one variable. It can be solved as such.
We have been told that = y = -3x+7
We need to graph this. For this, we plot at least two values for x and y -
x = 0 and y = 7
x = 1 and y = 4
We plot both these coordinates on the graph which has been attached below.
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(Proportions LC)
On a family camping trip, 7 backpacks can fit in the trailer for every 4 people. If 8 people are going on the trip, how many backpacks can fit?
28 backpacks
19 backpacks
16 backpacks
14 backpacks
Answer:
14 backpacks
Step-by-step explanation:
people: 4 x 2 = 8
backpacks: 7 x 2 = 14
Identifying a Quotient on a Number Line
ABC
←
-12-10-8
D
-2 0246 8 10 12
Which point on the number line represents the quotient
12+-2?
O Point A
O Point B
O Point C
O Point D
Answer: C
Step-by-step explanation:
12 %- 2 = -6
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Mick gives roping lessons at the Sundown Corral. A 3-hour lesson costs $120.00. The cost of a lesson is proportional to the duration, in hours, of the lesson. What is the constant of proportionality in terms of dollars per hour?
A.40
B.45
C.50
D. 35
The constant of proportionality in terms of dollars per hour is A 40.
What is a constant of proportionality?The constant of proportionality is used to illustrate the constant relationship between the variables.
In this case, a 3 hour lesson costs $120.00 and the cost of a lesson is proportional to the duration, in hours, of the lesson.
The constant will be the division of the values. This will be:
= $120 / 3
= $40
The correct option is A
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I keep getting the wrong answer
Answer:
Equation: 3x - 4 = 6 - 2x
Solution: x = 2
Step-by-step explanation:
Look at the key.
Left side of the equal sign:
A grey rectangle means x.
There are 3 grey rectangles on the left side, so that is 3x.
A white square means -1.
There are 4 white squares on the left side, so that means -4.
Altogether, the left side is 3x - 4.
Right side of the equal sign:
A black square means 1.
There are 6 black squares, so that means 6.
A white rectangle means -x.
There are 2 white rectangles, so that means -2x.
Altogether, the right side is 6 - 2x.
Put both sides together, and you have
3x - 4 = 6 - 2x
Solve the equation:
Add 2x to both sides.
5x - 4 = 6
Add 4 to both sides.
5x = 10
Divide both sides by 5.
x = 2
Answer:
Equation: 3x - 4 = 6 - 2x
Solution: x = 2
What is consumidores primarios?
Answer:Consumidores primarios: comen a los productores. Consumidores secundarios: comen a los primarios. Consumidores terciarios: comen a los carnívoros. Descomponedores: se alimentan de restos de seres vivos.
Step-by-step explanation:Consumidores primarios: comen a los productores. Consumidores secundarios: comen a los primarios. Consumidores terciarios: comen a los carnívoros. Descomponedores: se alimentan de restos de seres vivos.
Hello..!
¿What is consumidores primarios?
They are the ones that eat plants. They are herbivores or are parasites of these.
A home loan including interest is 166430 to pay off the loan equal payments need to be made over the next 180 months about how much will each payment be per month
Answer:
The answer is 923.6111 because 166430÷180 is 923.6111