Inequalities represent Susan's weekly goal of earning money are:
c + e ≤ 20
15c + 10e ≥ 240
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Given that,
Susan earns $10 per hour tutoring elementary students in math.
She also earns $15 per hour cleaning in the library.
Her goal each week is to earn at least $240 while working not more than 20 hours.
Thus, the equation of inequality:
c + e ≤ 20
15c + 10e ≥ 240
Here, e represent the number of hours Susan works in one week tutoring elementary students.
c represent the number of hours Susan works in one week cleaning the library.
To know more about inequalities refer to:
brainly.com/question/24372553
#SPJ1
How do i convert £10 to dollar? and what calculation do i ue
(it' on exchange rate)
We convert 10 pounds to Dollars and get 12.2 United states Dollars.
What does currency convert and exchange rate?Exchange rate is the rate at which one currency can be exchanged to another currency. The rate represents the relative value of one currency against the currency from another country. Currency conversion means convert one currency to another at an exchange rate.
How do we convert 10-pound sterling to dollar?We can convert pound to dollar by using currency exchange rate determined by the world market. The exchange rate is vary depending on the current situation of two country in which currency is converted between. The rate may be differed from one day to another.
1 pound sterling = 1.22 United States Dollar
10-pound sterling = 12.2 US Dollars
1 pound sterling = 1.76 Australian Dollar
10-pound sterling = 17.6 Australian Dollars
1 pound sterling = 1.64 Canadian Dollar
10-pound sterling = 16.4 Canadian Dollars
To know more about currency, convert visit:
https://brainly.com/question/30013432
#SPJ4
Maisy and Oliver converted some pounds (£) into euros (€) at two different shops. Maisy converted £40 into €47.20 at shop A. Oliver converted £83 into €96.28 at shop B. Byron converted some pounds at one of these shops and received €68.44. What is the smallest amount that he could have converted?
The smallest amount that Byron could have converted is £73.44.
What is exchange rate?An exchange rate is the rate at which one currency can be exchanged for another currency. It is the value of one country's currency against another country's currency. Exchange rates fluctuate based on supply and demand for a particular currency, as well as economic and political factors.
Exchange rates are typically quoted as the value of one currency in terms of another currency. For example, an exchange rate of 1.2 US dollars (USD) to 1 Euro (EUR) means that 1 EUR can be exchanged for 1.2 USD.
There are two types of exchange rates, Floating and Fixed exchange rate.
According to question :-
To determine the smallest amount that Byron could have converted, we can use the exchange rate from shop A, which is €47.20 for £40.
If we divide the amount of euros he received (€68.44) by the exchange rate (€47.20 for £40), we get:
€68.44 ÷ €47.20/£40 = £73.44
To know more about exchange rate visit:
https://brainly.com/question/29562028
#SPJ1
What is the SHAPE of the 22nd figure?
The color of the 15th figure is green.
The shape of the 40th figure star.
The shape of the 22nd figure triangle.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
We have,
The pattern of shapes we get is:
circle - Triangle - Square - Star
The pattern of color we get is:
Purple - Red - Green
Now,
The color of the 15th figure.
= 15 is a multiple of 3
= 5 x 3
So,
Green will be the color of the 15th figure
Now,
The shape of the 40th figure.
= 40 is a multiple of 4
= 10 x 4
So,
Star will be the shape of the 40th figure.
Now,
The shape of the 22nd figure.
= 22 ÷ 4
We get 2 as the remainder.
So,
Triangle will be the shape of the 22nd figure.
Thus,
The 15th figure color is green.
The 40th figure is a star.
The 22nd figure is a triangle.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Write the equation in standard form with integer coefficients. 0.5x - 2y - 0.75 = 0, y = - 3 x - 5
Answer:
50x - 200y = 75
3x + y = -5
Step-by-step explanation:
Standard form of a line
Ax + By = C
0.5x +-2y -0.75 Multiply through by 100
50x - 200 - 75 = 0 Add 75 to both sides
50x - 200y = 75
y = -3x - 5 Add 3x to both sides
3x + y = -5
Becky is able to run up a 3. 00 m high flight of stairs in 2. 5 s if she has a mass of 50 kg how much power did she develop during her run up the stairs how long will it take becky in question 6 to run up a flight of stairs 4. 5 m high?
With a mass of 50 kg, Becky used 588 watts power to sprint up a 3.0 m high set of stairs in 2. 5 seconds. She is able to run up a 4.5 m high flight of stairs in 3.75 s.
How do you calculate power going up stairs?Work (in joules) equals your weight (in newtons) x the height of the stairs (in meters.) The power you now possess is equal to the sum of your labor times the duration of that labor, or: Work (measured in joules) divided by time equals power, measured in watts (in seconds.)
Given that mass of Becky is 50 Kg
gravity of earth is 9.8 m/s²
height of stairs is 3.0 m
time taken to run up in stairs is 2.5 s
Power = work done/ time taken
P = (50*9.8*3.0)/2.5
P = 1470/2.5
P = 588 watt
Becky is able to run up a 3.0 m high flight of stairs in 2.5 s
She is able to run up a 4.5 m high flight of stairs in t = (2.5 * 4.5)/3
t = 11.25/3
t = 3.75 s
To learn more about power refer to :
brainly.com/question/29034284
#SPJ4
Is the simplified form of 2 square foot 3. Square Foot 12 rational
The simplified form of the given radical expression is rational.
What is exponent ?Exponent can be defined as the method of expressing large numbers in terms of powers. Exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6.
We are asked to determine whether the simplified form of 2√3.√12
To solve our given problem we will use exponent property for radicals
√m.√n = a√m.n
2√3.√12=2√3.12
2√3.√12=2√36
2√3.√12=2×6
2√√3.√12=12
The simplified form of the given radical expression is rational.
Learn more about exponent here : brainly.com/question/13669161
#SPJ1
Since our given radical expression simplifies to a rational, therefore, our answer is yes
Learn more about simplified here : brainly.com/question/432678
#SPJ1
TOLL ROAD Mr. Espinoza randomly chooses one of five toll booths when
entering a toll road when driving to work. What is the probability he will
select the middle toll booth on Monday and Tuesday?
Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).
To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.
Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%
So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.
Step-by-step explanation:
Can you help me with this
Step-by-step explanation:
to find the equation of any line we have to first find the slope. the slope formula is:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
our slope here would be 8/13
now we input the points in the equation
y = mx + b
then we find b to be -3(7/13)
so the final equation would be:
[tex]y = \frac{8x}{13} - 3( \frac{7}{13} )[/tex]
Is x-intercept a number or a point?
The point at a graph where the graph cuts the x-axis is known as the x-intercept. Therefore, the x-intercept is a point.
A graph is made up of four quadrants in which two are positive and two are negative quadrant.
There are two types of axis which are x-axis and y-axis two negative and two positive.
The y-intercept is the point where the graph cuts the y-axis .Graph Theory is the study of graphs which comes under discrete mathematics.
It is defined as a mathematical structure that connects a group of points to express a specific function.
To learn more about graphs
brainly.com/question/17267403
#SPJ4
How do you write 5 more than a number?
x+5 is the way we can write 5 more than a number.
In a formula or equation involving mathematical operations, the representation of numbers by alphabet is referred to as algebra.
Using the knowledge provided above, we must translate the mathematical statement provided in the question into an algebraic expression. Let's say that number is "x". The result of adding 5 to the provided number is a number that is 5 greater than this number. Thus, a number that is 5 more than x is equal to x+5. As a result, "5 more than a number" is represented by the algebraic expression "x+5".
To learn more about number here:
https://brainly.com/question/17429689
#SPJ4
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.
1
1/2
3
1/3
If Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1) then the scale factor used is 1/3
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1).
A(−3, −3)---->A(−3/3, −3/3)---->A′(−1, −1)
B(3, 3)---->B(3/3, 3/3)---->B′(1, 1)
C(0, 1)---->C(0/3, 1/3)---->B′(0, 1/3)
Hence, the scale factor used is 1/3.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
How do you find the coordinates of a point example?
To find the coordinates of a point in a coordinate system, do the inverse. Start at the point and trace a vertical line up or down to the x-axis. There you have your x-coordinate. Then repeat the process, but this time follow a horizontal line to determine the y-coordinate.
A point is identified by its ordered pair of (x, y). The first number represents the x-coordinate, while the second represents the y-coordinate.
To graph a point, you draw a dot at the coordinates of the ordered pair. It's usually a good idea to begin at the beginning.
An ordered pair of integers, such as an x-coordinate, which is a number on the x-axis, and a y-coordinate, which is a number on the y-axis, can be used to identify each point. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate). The starting point is at (0,0).
For more questions on Cartesian coordinates
https://brainly.com/question/14492551
#SPJ4
which equation represents a line perpendicular to the given line x-4y=7
The equation of the line perpendicular to x - 4y = 7 can be written as:
y = 4*x + b
Where b could be any real number.
Which equation represents a line perpendicular to x - 4y = 7?Two lines are perpendicular if the product between the slopes of the lines is equal to -1.
Where a general line in the slope-intercept form is written as:
y =a*x +b
And the given line is:
x - 4y = 7
Writing this in the slope-intercept form we will get:
-4y = -x - 7
y = (-1/4)*x + 7/4
So the slope is -1/4, then the slope of our line must be such that:
a*(-1/4) = -1
a = -4*-1 = 4
a =4
So the line perpendicular to the given one is:
y = 4*x + b
Where b can be any real number.
Learn more about perpendicular lines at:
https://brainly.com/question/1202004
#SPJ1
Approximately 297 million guests visit the 400 American amusement parks annually, and take 1.7 billion safe rides. The National Safety Council publishes a report titled "Fixed-Site Amusement Ride Injury Survey" for the International Association of Amusement Parks and Attractions. The number of injuries per million patron-rides, X, has a Poisson distribution with parameter 0.8. In one million patron-rides, what is the probability that there are
a) No injuries?
b). More than TWO injuries?
The probabilities are given as follows:
a) No injuries: 0.4493 = 44.93%.
b) More than two injuries: 0.0474 = 4.74%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following equation:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.The mean for this problem is of:
[tex]\mu = 0.8[/tex]
The probability of no injuries is of P(X = 0), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.8}(0.8)^{0}}{(0)!} = 0.4493[/tex]
The probability of more than two injuries is of:
P(X > 2) = 1 - P(X <= 2)
In which:
P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2)
Hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.8}(0.8)^{0}}{(0)!} = 0.4493[/tex]
[tex]P(X = 1) = \frac{e^{-0.8}(0.8)^{1}}{(1)!} = 0.3595[/tex]
[tex]P(X = 2) = \frac{e^{-0.8}(0.8)^{2}}{(2)!} = 0.1438[/tex]
Then:
P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4493 + 0.3595 + 0.1438 = 0.9526.P(X > 2) = 1 - P(X <= 2) = 1 - 0.9526 = 0.0474.More can be learned about the Poisson distribution at https://brainly.com/question/7879375
#SPJ1
Which of the following points is a solution to the system of equations shown?
y - x = -1
x + y = -5
`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.
[tex]\quad \qquad \huge \bf \dag \: Answer \: \dag[/tex]
`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.
[tex] \underline{ \large \rm Solution} : [/tex]
[tex]\rm Given : [/tex]
Two equations are -
y - x = -1 (i)x + y = -5 (ii)[tex] \rm Procedure : [/tex]
Considering the equations as (i) and (ii) respectively
From equation (i) -
y = x - 1put this value of y in equation (ii) -
x + y = -5x + x - 1 = -52x = -5 + 12x = -4 x = -2Next thing to do would be to put value of x we got in equation (i) to get y
y - x = -1y - (-2) = -1 y + 3 = -1 y = -1 - 3 y = -4Values asked are :
[tex] \rightarrow \rm y = - 4[/tex]
[tex] \rightarrow \rm x= - 2[/tex]
`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.
[tex] \large \bf hope \: \: it \: \: helps \: - dabI [/tex]
`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.`●.
In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC
The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.
What is equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.
Given that:
[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]
Since, BH is the altitude [tex]\angle MHC= 90[/tex].
The total angle of a quadrilateral is 360, hence:
100 + 110 + 90 + C = 360
C = 60 degrees.
Now consider triangle BHC:
The sum of angle of a triangle is 180, hence:
90 + 60 + B = 180
B = 30
Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].
Consider triangle ABC:
Using sum of triangles, we have:
[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]
Hence the measure of angles of triangle ABC is 60 degrees.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ4
Helen delivers parcels on tuesday helen delivered 20% more parcels than on monday.
On Wednesday, helen delivered 50% fewer parcels than on Tuesday.
On Wednesday, helen delivered 72 parcels
calculate the number of parcels that helen delivered on monday
So the number of parcels that Helen delivered on Monday is 120 parcels.
Define Percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Proportion.An equality of two ratios is a percentage. We use proportions to construct comparable ratios and find solutions to problems involving unknown numbers.
If on Wednesday Helen delivered 50% fewer parcels than on Tuesday, then on Tuesday Helen delivered 72 / (1 - 0.5) = 72 * 2 = 144 parcels.
On Tuesday Helen delivered 20% more parcels than on Monday, so the number of parcels Helen delivered on Monday is (144 / 1.2) = 120
So Helen delivered 120 parcels on Monday.
To learn more about ratio visit:
https://brainly.com/question/13419413
#SPJ4
Reflect shape A in the line y = -x. (See picture)
Answer:
See picture below
Step-by-step explanation:
FIND THE SUM OF ALL NATURAL NUMBERS FROM 1 TO 100 (ARITHMETIC PROGRESSION)
Answer:
According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. Basically, the sum of the first 100 natural numbers is equal to 5050.
is 120,110,105… a geometric sequence
Answer: No
Step-by-step explanation:
Look at the 3 numbers in the sequence,
Geometric sequence means the ratio between two consecutive numbers in the sequence is a constant (eg. 10, 5, 2.5 is a geometric sequence as the ratio is a constant at 1/2)
However, for the sequence listed above
Looking at 1st and 2nd term,
Ratio = 110/120 = 11/12
Looking at 2nd and 3rd term,
Ratio = 105/110 = 21/22 which is not the same as 11/12.
Hence, since the ratio is not the same, this sequence is not a geometric sequence.
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order
An expression that represents the total cost of an order of n number of tickets: 35n + 15
Let n be the number of tickets to a concert.
Let C be the cost for the tickets
Given that the tickets to a concert are $35 each.
So, by unitary method the cost of n number of tickets would be,
n × 35
And the cost for the tickets would be,
C = 35n
In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
So, the cost for the tickets would be,
C = 35n + 15
This is the required expression.
Learn more about the expression here:
https://brainly.com/question/30091997
#SPJ4
The complete question is:
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
Write an expression that represents the total cost of an order of n number of tickets.
4 Select the correct answer. Annabelle wanted to find out how many people in her neighborhood were going to the rock concert over the weekend. She asked a couple of her immediate neighbors. On the basis of the answers she got, she drew her conclusion. What kind of statistical investigation did Annabelle perform
Annabelle collected data from a sample of people that were convenient for her to access, such as her immediate neighbors, and used this to draw her conclusion.
Annabelle performed a convenience sample investigation, which is a type of statistical investigation. This involves collecting data from a sample of people that are convenient for the researcher to access. In this case, Annabelle asked a couple of her immediate neighbors to find out how many people in her neighborhood were going to the rock concert..
Convenience sampling is useful when time or resources are limited, however the results may not be representative of the larger population. Therefore, it is important to consider the limitations of the sample when drawing conclusions. For example, Annabelle may not have considered that the neighbors she asked may not be representative of the whole neighborhood.
Learn more about sample here
https://brainly.com/question/25894237
#SPJ4
HELP ASAP PLSS 50 POINTS!!!
Answer:
Missing part is ∠BAC and ∠DPFStep-by-step explanation:
ASA requires that both triangles have two angles and the included side to be congruent.
We have one side and an adjacent angle and need the second angle adjacent to the marked side to be congruent as well
It is the ∠BAC of ΔABC and ∠DPF of ΔPDF or simply ∠A and ∠P.
What are the 3 types of translations in math?
Find the values of x and y
The values of x and y, given the angles in the diagram, can be found to be :
x = 11y = 17How to find the value of x and y ?The angles given above are called vertical angles and they are such that the two corresponding angles are equal to each other.
This means that ( 8 x + 7 ) ° is equal to ( 9 x - 4 )° and 5 y° is equal to ( 7y - 34 )°.
The value of x is :
8 x + 7 = 9 x - 4
9x - 8x = 7 + 4
x = 11
The value of y is :
5 y = 7y - 34
7y - 5y = 34
2 y = 34
y = 34 / 2
y = 17
Find out more on the value of x and y at https://brainly.com/question/30091286
#SPJ1
Factor the expression completely.
x^4-17x^2+72
Answer:
It's neither:
x =√ 9.000 = 3.00000 or :
x =√ 9.000 = -3.00000 or :
x =√ 8.000 = 2.82843 or :
x =√ 8.000 = -2.82843
Four solutions
Answer:
x^4 - 17x^2 + 72 = (x^2 - 9)(x^2 - 8)
Step-by-step explanation:
First, we need to find two numbers that multiply to give us 72 and whose sum is -17. We can see that 8 and 9 multiply to give us 72, and their sum is 8 + 9 = 17. Since we want the sum to be negative, we need to change one of the signs. So we write -(8 + 9) = -17.
Next, we write the expression as the product of two binomials. We factor out the common factor x^2 from the first two terms: x^4 - 17x^2 + 72 = x^2(x^2 - 17) + 72
Now, we complete the square in the first binomial. To do this, we need to add and subtract (17/2)^2 = (8.5)^2 = 72.25 inside the bracket:
x^2(x^2 - 17) + 72 = x^2(x^2 - 17 + 72.25 - 72.25) + 72 = x^2(x^2 - 17 + 72.25) - 72.25 + 72
Now we can rewrite the square of a binomial :
x^2(x^2 - 17 + 72.25) = x^2((x-8.5)^2)
Finally, we can combine the two binomials
x^2((x-8.5)^2) + 72 = (x^2(x-8.5)^2) + 8(9)
So the expression x^4 - 17x^2 + 72 factors completely as (x^2 - 9)(x^2 - 8)
Hope this helps!
Colin invests £3300 into his bank account. He receives 3% per year compound interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate
Answer:
Below
Step-by-step explanation:
3% = .03 in decimal 4 (yearly) periods
The effective interest and deposit amount after 3 years compounded yearly will be
3300 (1 +.03)^4 = £ 3714.18
13. The number of pictures your printer
can print are shown in the table. Find
the rate in pictures per minute.
Minutes 2 4 6
8
Pictures 16 32 48 64
15.
16
Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.
For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.
Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute
And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.
And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.
From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.
The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.
Step-by-step explanation:
Your teacher has disabled instant marking. Your marks will appear after the due date.
35%
Patryk has 7 cards.
There is a number on each card.
|2||3||4||5|| 6 ||7|| 8
Patryk takes two of the cards at random.
He works out the product of the numbers on the two cards.
Work out the probability that the product is an odd number.
EH
Type here to search
O
1/7 is the probability that the product is an odd number.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Total Cards are 7
2 cards out of 7 cards can be selected in ⁷C₂ = 21 ways
Product would be odd if both cards are odd
3 , 5 , 7 are odd cards
2 cards out of 3 Can be selected in ³C₂ = 3 ways
( 3 , 5) , ( 3 , 7) , ( 5 , 7)
Hence probability the product of the numbers on the 2 cards is odd number
= 3/21
= 1/7
Learn more about probability
brainly.com/question/30034780
#SPJ4
please help kinda confused!!
The equation of the line in fully simplified intersect is y = mx + b
What is general equation of the line?The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.The equation of a line is y = mx + c , where m is the slope of the line and c is a constant.We have the x-intercept (3,0) and y-intercept (0,3) on the graph.Slope of these line through these points will be ;m = (y2-y1) / (x2-x1)m= (3-0) / (0-3)m= 3/-3m= -1Also , we will get the value of c = 3 .The equation of line after putting the value of m and c will be ,y = -x + 3Thus, the equation of line is y = -x + 3To learn more about general equation of the line refers to:
brainly.com/question/18439547
#SPJ1