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]
Consider the following formula y−p/2=e. Rearrange the formula to solve for "p":
Answer:
p = 2y - 2e
Step-by-step explanation:
Eliminate the fraction by multiplying all terms by 2:
2( y−p/2=e) = 2y - p = 2e
Now subtract 2e from both sides, obtaining: 2y - 2e = 0.
Finally, add p to both sides: p = 2y - 2e
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
the answer is: 22
Step-by-step explanation:
need help what is the equation of the purple line
Answer:
y=-2/5x +8
Step-by-step explanation:
use y=mx+b look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b and you should get y=-2/5x+8
Hope this helped!
ps. if this was right can you make it brainliest? thanks!
Find two acute angles that satisfy the equation sin(2x + 8) = cos(x + 28). Check that your answers make sense.
The smaller angle is
°.
The larger angle is
Step-by-step explanation:
why is my brainly sux lol due dude.ex
Mark spent $60 dollars on 4 shirts. How much was one shirt
i need the answer for b+4+2b-5
Answer:
[tex]\huge\boxed{3b-1}[/tex]
Step-by-step explanation:
[tex]\text{Combine like terms.}\\\\\\b+4+2b-5\\\\b+2b+4-5\\\\3b-1\\\\\text{The expression could not be simplified further.}\\\\\\\boxed{\text{The correct answer should be: } 3b-1}[/tex]
Hope this helps.
Write 0.28 in expanded form
HEY CAN SOMEONE HELP ME PLS ILL GIVE BRAINLIEST IF RIGHT!
Answer:
angle PSQ=25°
Step-by-step explanation:
angle RQS=angle PSQ.......... alternate angle
so angle PSQ=25°
Answer:
25 degrees
Step-by-step explanation:
If it is a parallelogram, then the sides PS and QR will be parallel, then ∠PSQ and ∠RQS are alternate interior angles, and hence they will be congruent. That is, ∠PSQ ≅ ∠RQS = 25°.
But this is not the confirmation that this would be parallelogram as it could be trapezoid. The given condition is must but not sufficient to prove it.
Hope this helps. Do mark me as BRAINLY. thanks
Mike needs to position a 16-foot ladder so it reaches a window that is 12 feet above the ground. How far from the building should he place the base of the ladder?
Answer:
10.6
Step-by-step explanation:
youre welcome
help the pictures underneath
Answer:
Step-by-step explanation:
I believe the correct answer is A, but im not sure. Hope it helps! <3
Answer:
a
Step-by-step explanation:
it takes a long time for a river to carve a path through rock. for example it took the grand canyon 5-6 million years to form by way of river erosion
Yuki concluded:
"It's not possible to map AABC onto AFED using a sequence of rigid transformations, so the triangles
are not congruent."
What error did Yuki make in her conclusion?
Answer:
One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.
Step-by-step explanation:
Yup
pls help 100 points given to u
Answer:
9 is 2
10 is 6
Step-by-step explanation:
sec 5A = cosec 7A, prove that A = 7.5°
Answer:
see explanation
Step-by-step explanation:
Using the cofunction identity
sec(90 - x)° = cscx° , then
7A = 90 - 5A ( add 5A to both sides )
12A = 90° ( divide both sides by 12 )
A = 7.5°
The ratio of yellow sweets to purple sweets is 5:4.
Alice eats 3 purple sweets and the ratio is now 5:3.
Work out how many sweets there were at the beginning.
Answer:
I DUNNO
Step-by-step explanation:
#7: Cole plans to purchase a car that depreciates at a rate of 9.2% per
year. The initial cost of the car is $21,000. Determine the value after 3
3 points
years.
Your answer
Answer:
I'm not really sure but I think the answer is 21,331.20 for 3 year the interst will be 331.20
What is the product of 2/3 and 3/4?
A.1/2
B.5/7
C.1/12
D.5/12
Answer:
A
Step-by-step explanation:
2/3 x 3/4 = 2x3/3x4 = 6/12 = 1/2
hat is the 4th equivalent fraction to 1/11
Answer:
4/44 i think
Step-by-step explanation:
Construct an isosceles right-angled triangle ∆PQR where ∠
Answer:
Please find attached the required triangle drawn with Microsoft Visio
Step-by-step explanation:
The isosceles triangle ΔPQR we are to construct has the following parameters;
∠PQR = 90°
Length of side hypotenuse PR = 4 cm
Therefore, given that the triangle is right triangle is an isosceles triangle the length of each of the side legs are equal
Therefore, we have;
Length of PQ = Length of QR
The length of the legs , [tex]\overline {PQ}[/tex] and [tex]\overline {QR}[/tex], are given by Pythagoras's theorem as follows;
[tex]\overline {PR}[/tex] = √([tex]\overline {PQ}[/tex]² + [tex]\overline {QR}[/tex]²) = √([tex]\overline {PQ}[/tex]² + [tex]\overline {PQ}[/tex]²) = [tex]\overline {PQ}[/tex]·√2
∴ [tex]\overline {PQ}[/tex] = 4 cm/(√2) = 2·√2 cm = [tex]\overline {QR}[/tex]
The required triangle drawn with Microsoft Visio is attached
How do I draw and determine the equation of a trend line on a scatterplot
Step-by-step explanation:
Step 1: Draw your trend line.
You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:
trend line equation
Step 2: Locate two points on the line.
Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.
For the trend line that we just drew, we can see these two easily identifiable points.
trend line equation
We can easily identify these two points as (3, 3) and (12, 6).
Step 3: Plug these two points into the formula for slope.
The formula for slope is this one:
trend line equation
We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:
trend line equation
So our slope is 1/3.
Ben's car depreciates in value by 15 % per year. Ben bought his car for £ 22000 . Work out how much his car will be worth after 6 years.
Answer:
£8297.29
Step-by-step explanation:
£22 000 x 0.85 to the power of 6=£8297.29
Pablo is buying tile to install in his bathroom. The
sketch of his floor is shown.
How much tile must Pablo purchase to cover his
bathroom floor?
6 ft
O 24 square feet
O 30 square feet
O 45 square feet
90 square feet
6 ft
3 ft
9 ft
Answer:
45 so C
Step-by-step explanation:
Its right on edge
If 16 of 200 apples were bad, what percent is that?
-8%
-10%
-12%
-16%
Answer:
8%
Step-by-step explanation:
100% = 200apples
x = 16 apples
1600% apples = 200 apples x
200 apples. 200 apples
x = 8%
Answer:
8%
Step-by-step explanation:
200 x 0.08 = 16
Help please
what is 61x18x4x487?
Answer:
2138904
Step-by-step explanation:
yep
Answer:
61x18x4x487=2138904is your answer
if the velocity is big, must there be forces on it?
Answer:
Acceleration and velocity
Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.
63° 55°
X =
degrees.
Answer:
Step-by-step explanation:
The sum of these angles must equal 360 degrees.
x+63+55=360
x+118=360
x=242
WHO EVER ANSWERS THIS WILL GET BRANLIEST
Answer: Its C
Step-by-step explanation:
24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34 ÷ 11 = 29
Answer:
c
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Set 1
sum = (2 × 27) + (2 × 28) + (3 × 29) + (2 × 30) + (1 × 33)
= 54 + 56 + 87 + 60 + 33 = 290
The count is 10 ( number of dots ), then
mean = [tex]\frac{290}{10}[/tex] = 29
Set 2
sum = (4 × 24) + (4 × 25) + (2 × 27)
= 96 + 100 + 54 = 250
The count is 10 ( number of dots ), then
mean = [tex]\frac{250}{10}[/tex] = 25
Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?
THE ANSWER FOR THIS IS
30%
What is the solution to the system of equations below?
y = 2x +8
-6x + 3y = 12
1) no solution
2) infinite solutions
3) (-1, 6)
4) (1/2, 9)
all values of x
5 ( x + 10 )^2 − 30 = − 5
Plzzzz
please help with number 5 i don't know how to fill in the table
Answer:
find the value of x and then divide it to see what you can to fill it in