Answer:
Probability that the product is an odd number = [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Given - 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.
To find - Work out the probability that the product is an odd number.
Proof -
As we know that Product of two numbers is odd iff both the numbers are odd.
So, we have to find the probabilty that both the card that Patryk choose is odd
Now,
Total number of cards = 7
Total number of odd cards = 3
So, Probability = ³C₂ / ⁷C₂
= [tex]\frac{3!}{2! (3-2)!}. \frac{2! (7 - 2)!}{7!}[/tex]
= [tex]\frac{3!}{2! (1)!}. \frac{2! (5)!}{7!}[/tex]
= [tex]\frac{3!}{(1)!}. \frac{ (5)!}{7.6.5.4.3!}[/tex]
= [tex]\frac{ 5.4.3.2.1}{7.6.5.4}[/tex]
= [tex]\frac{1}{7}[/tex]
∴ we get
Probability that the product is an odd number = [tex]\frac{1}{7}[/tex]
Suppose y varies directly as x, and y =16 when x=8. Find y when x=5
Answer:
y is 10 when x is 5
Step-by-step explanation:
x is always half of y, based on this we need to multiply x by 2 y is 10
Answer:
the answer is
{153}⅚⅞²±(2)9
Which of the following expressions are equivalent to 7×7×7×7 ? Select all that apply.
A)47
B)74
C)77
D)28
E)2,401
F)16,384
How many square inches are in 60 square feet?
5 square inches
72 square inches
720 square inches
8,640 square inches
Answer:
8,640 square inches.
Formula: multiply the Area value by 144.
Answer:
The answer is D. 8,640 square inches.
Step-by-step explanation:
Please help! Will mark brainliest if correct! Worth 20 points!
Ok look person that keeps answering Im sorry hut I gues u can tell why Im literally fai-ling math, question is: add the polynomial expressions using the horizontal format
Answer:
[tex]21a^4+4a^2+2a[/tex]
Step-by-step explanation:
i think this is right..lol
hope it helps :)
have a nice day!!
What is 1.2 called in a division problem?
PLEASE HELP ASAP WILL GIVE BRAINIEST
Answer:
15^7/4
Step-by-step explanation:
A=15 b=7 c=4
.......
Answer:
A = 15 C= 7 B=4
Step-by-step explanation:
Okay so as you can see there is [tex]15^{7}[/tex] so A would be 15 and C would be 7 and B would be 4
HELP WHAT IS THE SLOPE!!!!!!~!~!
Answer:
9/7
Step-by-step explanation:
when a line is parallel, its has the same slope just a different intercept spot
A box has the following dimensions: length = x +7, width = x - 4, height = 2x-6. Find the volume of the box if x is 5
PLEASE HELP ASAP! WILL MARK BRAINLIEST
Answer:
201.06
Step-by-step explanation:
https://rb.gy/xgo4xh
Answer:
A=64π
Step-by-step explanation:
A=π[tex]r^{2}[/tex]
radius=8
A=π[tex]8^{2}[/tex]
A=64π
≈201.06
solve by substitution y - 3x = 2, x - 2y = -6
y=2+3x
putting value on second equation we get..
x-2(2+3x)=-6
x-4+6x=-6
7x=-2
×=-2/7
& y=2+3(2/7)
y=2+0.87
y=2.87..Ans..
Answer:
x= 2/5
y= 3.2
Step-by-step explanation:
y-3x=2
y=3x+2
replace y with 3x+2 in second equation;
x-2(3x+2)= -6
x- (6x+4)= -6
x-6x-4= -6
-5x-4+4=-6+4
-5x= -2
x= 2/5
y=3x+2
y=(3×2/5) +2
y= 3.2
Solve 2/3x -1/5> 1
x>
Answer:
Step-by-step explanation:
x>9/5
Help me plssss!!!!!!!
can anyone help me!!!
Answer:
A
Step-by-step explanation:
-3(5x)=-15x
-3(-2)=6 (negative times negative = positive)
so... -15x+6
Simplify (5xy)6
...........................
Answer:
15625x^6y^6
Step-by-step explanation:
5^6= 5×5×5×5×5×5=15625
(xy)^6=x^6y^6
If the base angles of a triangle are congruent, use the Law of Sines to show the triangle is isosceles.
Answer:
The Isosceles Triangle Theorem States that if a triangle contains 2 congruent sides, then the angles opposite those sides are congruent. This theorem can be proved using the Law of Sines: The Law of Sines states that: asinA=bsinB=csinC If a=c, making △ABC an isosceles triangle, then asinA=asinC!
How do you write 0 to the power of 2 on a keyboard and what does is the answer to it?
Answer:
0^2
Step-by-step explanation:
i think it will be 0 only
what is equal to 4.2 kilometers
4,200 meters
420 meters
420 centimeters
4,200 centimeters
Answer:
4,200 metersHow do you convert meters to kilometers formula?Meters to Kilometers Conversion1 Meter (m) is equal to 0.001 kilometer (km). To convert meters to km, multiply the meter value by 0.001 or divide by 1000. For example, to convert 100 m to km, multiply 100 by 0.001, that makes 0.1 km is 100m .
Step-by-step explanation:
Hope it is helpful.....
3
The diagram represents a portion of a small city. Maple Street and Pine
Street run exactly east to west. Oak Avenue runs exactly north to south.
All of the streets remain straight.
All the statements that must be true are in options [tex]A, B, D, E[/tex].
What are parallel lines?Parallel lines are those line which never intersect and maintains a constant distance.
We have,
From the given diagram,
Maple Street and Pine Street run exactly East to West.
And,
Oak Avenue runs exactly North to South.
Now,
From the given diagram,
A. Birch street and Elm street intersect at right angles. - True
B. Maple Street and Pine Street are parallel. - True
D. Pine Street intersect both Birch street and Elm street. - True
E. Oak Avenue and Maple Street are perpendicular. - True
Hence we can say that all the statements that must be true are in options [tex]A, B, D, E[/tex].
To learn more about parallel lines click here
brainly.com/question/21297845
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X^2-8x-36=0
solve by completing the square
ANSWER ASAP
Answer:
hope it helps
Se tienen dos dados, uno
rojo con puntos que
representan números
positivos del 1 al 6 y el otro
azul, que representan a los
números negativos del uno
negativo al seis negativo. Al
tirar ambos dados, se
obtuvieron los siguientes
puntos: (+2).(-5). ¿Cuál es el
resultado de sumar los
puntos?. Aplica el método de
descomposición-
simetrización-anulación.
Answer:
oooo[[oooo seven. my boy o girl
Answer:
-3
Step-by-step explanation:
porque si debes 5 y pagas 2 quedas debiendo 3 sé que no es la mejor explicación pero bueno...
help ill put the pics below
Answer:
A
Step-by-step explanation:
Write the equation of the line in slope-intercept form that goes through the points: (0, 5) and (4, 5)
Answer:
Step-by-step explanation:
The equation of a line written in slope-intercept form should be written as : y = mx + b
where m is the slope and b is the y-intercept.
We can find the slope, m, using the 2 points given:
(y2 - y1) / (x2 - x1) = (-12 -6) / (5- -4)
m= -18/9
m = -2
Then we can use this slope and one of the two points to find the intercept. Either point is fine but let's use (-4 , 6):
y = -2x + b
6 = -2 * -4 + b
6 = 8 + b
6-8 = 8 + b -8
-2 = b
The final equation of the line is: y = -2x -2
Does the following scenario represent independent or dependent events?
You pick a red jolly rancher candy from a jar, give it to a friend, then pick another red jolly rancher candy.
Question 2 options:
A. independent
B. dependent
C. neither
D. both
The event is independent event in nature .
What is independent events ?Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.
What is dependent events?Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
According to the question
You pick a red jolly rancher candy from a jar, give it to a friend, then pick another red jolly rancher candy.
You pick a red jolly rancher candy from a jar, give it to a friend is independent event
and the second event pick another red jolly rancher candy. is completely independent event
and both of them are not dependent on each other
So this event is independent because two events happen is not depend on each other .
Hence, The event is independent event in nature .
To know more about Independent events and dependent events here:
https://brainly.com/question/12138721
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(2n4 - 13n3 + 32n2 – 51n – 54) = (2n – 9)
Answer:
2n-9
Step-by-step explanation:
can someone explain to me how you figure out if a triangle is obtuse, acute or a right angle? i will give 20 points
Answer:
Right angle is 90 degrees, belowe 90 degrees is acute, and above 90 degrees is obtuse
Step-by-step explanation:
Right angle = 90degrees
Acute angle = <90degrees
Obtuse angle = >90degrees
Answer:
To figure out if a triangle is obtuse, There would be one angle that is over 90 degrees. If it is an acute triangle, all of the angles would be smaller than 90 degrees. If it is a right triangle, there would be one angle that is 90 degrees and the other 2 angles would be acute.
PLEASEE HELP I NEED HELP PROBLEM
Melinda takes readings of the depth of water in a
pond every day for 1 week. Here are her results in
meters:
6.5, 6.8, 7.2, 6.8, 6.6, 6.3, 6.4
What are the mean, median, and mode water levels
for the week, rounded to the nearest tenth?
Answer with supporting work:
Answer:
a) The Mean of the water levels for the week (μ) = 6.657
b) The Median of the water levels for the week = 6.6
c) Mode = 6.8
Step-by-step explanation:
Step(i):-
Given that the data per one week
6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4
we have to find the mean of the given data
Solution:-
Mean = ∑x /n
[tex]Mean = \frac{6.5+6.8+7.2+6.8+6.6+6.3+6.4}{7}[/tex]
Mean = [tex]\frac{46.6}{7}[/tex]
Mean(μ) = 6.657
The Mean of the water levels for the week (μ) = 6.657
Step(ii):-
Given that the data per one week
6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4
we have to find the Median of the given data
A median is the center value of a given data when arranged in an order
6.3 6.4 6.5 6.6 6.8 6.8 7.2
The Median = middle of the given data
The Median = 6.6
Step(iii):-
Given that the data per one week
6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4
we have to find the Mode of the given data
Mode = Value repeated the most number of times
The value 6.8 repeated two times
∴ Mode = 6.8
During a 12-hour period, the temperature rose by 48*f. The temperature rose the same number of degrees each hour. How many degrees did the temperature rise each hour?
Answer:
4 degrees per hour
Step-by-step explanation:
48 degrees per 12 hours = 48/12 degrees per hour = 4 degrees per hour
The length of a rectangle is three times its width of the perimeter of the rectangle is 40 yd find its length and width
Answer:
Step-by-step explanation:
L= 3W
Perimeter = 2(l+w) = 40
2(3w+w) = 40
2*4w = 40
8w =40
w = 5
l = 3*5 = 15
A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?
Answer: 26%
Step-by-step explanation:
The formula to calculate the percentage markup is given as:
= Selling price - Cost / Cost price × 100
where selling price = $15750
Cost price = $12500
Percentage markup = ($15750 - $12500) / $12500 × 100
= $3250/$12500 × 100
= 26%
Answer: 26
Step-by-step explanation:
12,500 - 15,750= 3250
