The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
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The perimeter of the quadrilateral is 43 centimeters. Find the length of each side.
X+7
x² - 2x
X+3
2x-2
Side one = x + 3 =
cm
Step-by-step explanation:
A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;
(x + 7) + (x² - 2x ) + (x +3) + (2x - 2) = 43
x² - 2x + 4x + 8 = 43
x² - 2x - 35 = 0
Upon solving for x by factorization;
( x - 5) ( x + 7) = 0
The values of x are; 5 and - 7
Since the side of shape cannot have a negative value, -7 is ignored.
x = 5
The length of the sides are;
- X+7 = 5 + 7 = 12
- x² - 2x = 5² - 2(5) = 25 - 10 = 15
- X+3 = 5 + 3 = 8
2x-2 = 2(5) - 2 = 10 -2 = 8
Check:
8 + 8 + 15 + 12 = 43
Help me out on this pleaseeeeeeeeeee
Answer:
(2,32)
(3,48)
Step-by-step explanation:
2×16=32
3×16=48
an examination class of 55% of pupil scored 70% , if 54 scored above 70%. how many scored above 70%.
Answer:
You just said the answers. 54
Step-by-step explanation:
5
find the area of the shape
Answer:
1296 sorry if im wrong
Step-by-step explanation:
:):):):):):):):):):):):):):):):):):):):):):):)
A caterpillar crawling in a straight line across a coordinate plane starts at point (-3, -4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?
Answer:
15 points
Step-by-step explanation:
The start and end point of the caterpillar path are;
Start point = (-3, -4)
End point = (25, 38)
The slope of the caterpillar's path, 'm', given the 'x', and y-coordinates of two points is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, m = (38 - (-4))/(25 - (-3)) = 1.5
The equation of the caterpillar's path in point and slope form is given as follows;
y - (-4) = 1.5 × (x - (-3))
y + 4 = 1.5 × (x + 3)
y + 4 = 1.5·x + 4.5
y = 1.5·x + 4.5 - 4 = 1.5·x + 0.5
y = 1.5·x + 0.5
Given that the 0.5 is added to the product of 'x' and 1.5, the points that have both integer points for 'x', and 'y' are the points that have odd number values of 'x', as follows;
(-3, -4), (-1, -1), (1, 2), (3, 5), (5, 8), (7, 11), (9, 14), (11, 17), (13, 20), (15, 23), (17, 26), (19, 29), (21, 32), (23, 35), (25, 38)
Therefore, we have 15 points counting the start and end points with integer coordinates
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If a circle has a diameter of 3 cm, what is the circumference? Enter a numerical value
only. Round all answers to the nearest hundredth.
Answer:
C≈9.42cm
Step-by-step explanation:
This is the correct answer for your question
Answer:
3.71
Step-by-step explanation:
The ratio of the measure of the three angles in a triangle is 3:10:7. Find the measures of the angles
Group of answer choices
30, 90, 60
27, 90, 63
45, 45, 90
9, 30, 21
Answer:
sum of all angle= 180 given angle = 3 X, 10 X AND 7 X
3X + 10X + 7X = 180
20X = 180
X= 180/20
X = 9
X= 9 IS apply to given angle 3X, 10 X , 7X
3X = 3 ×9=27
10X = 10 ×9 = 90
7X = 7 ×9 =63
ANS IS 27,90,63
Step-by-step explanation:
2 and 1/8 + 1 and 3/4
I need some help with problem 9
Answer:
it's really hard to see the numbers.. but I can explain how to do it. the 5 is on the x axis and the 0 is on the y axis. if you from 0 to 5 on the x axis and the line crosses through that point then it is true.
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?
Answer:
hvgf m g n HCF kvvfgfhhjfj
2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of
Answer:
A=πr2=π·52≈78.53982m²
Step-by-step explanation:
Answer:
78.57 m^2
Step-by-step explanation:
answer is 78.57
Look at this graph, what is the slope?
Answer:
3/2
Step-by-step explanation:
find 2 points and go up til you are even with it(3 in this case) this is your rise, then go over to the other point(2 in this case) this is your run, so the slope (rise/run) is 3/2
-Todo <3
The Yankees 90 of their 162 games last season. What percentage of their games did they win?
Answer:
If they won 90 out of 162, they won 55.(5)% of their games.
Step-by-step explanation:
I assume they WON 90 of the 162 games.
90/162 = 45/81 = 15/27 = 5/9
5/9 = 55.(5)%; (because 1/9 = 11.(1)%)
Answer:
55.56%
Step-by-step explanation:
1. Put into a fraction = 90/162
2. Simplify = 5/9
3. Calculate the fractions value by dividing the numerator by the denominator.
4. Multiply the answer by 100
5. Simplify
Hopefully this helps!
1. Which is longer: 6 ft or 70 in.?
Answer:
70in.
Step-by-step explanation:
1 foot is the equivalent to 12 inches. So 6 feet is 6×12. ... So now we have 72 and 70 inches.
Answer:
6 ft is more then 70 in.
Step-by-step explanation:
6 ft is more then 70 in. because 6ft is 72 in. therefore 6ft. is more then 70 in.
HOPE THIS HELPS
which statements are true when solving x*2 -8x +16=0?
A x=+4.
B Factor to solve.
C x=4 is a double root.
D Complete the square root to solve.
E The equation is a perfect trinomial.
Given:
The given equation is
[tex]x^2-8x+16=0[/tex]
To find:
The correct statement for the given equation.
Solution:
We have,
[tex]x^2-8x+16=0[/tex]
It can be written as
[tex]x^2-2(x)(4)+(4)^2=0[/tex]
Using the identity of perfect square trinomial, we get
[tex](x-4)^2=0[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex](x-4)=0[/tex]
[tex]x=4[/tex]
Here, x=4 has multiplicity two because the power of factor (x-4) is 2.
x=4 is a double root and the equation is a perfect trinomial.
Therefore, the correct options are C and E.
Answer:
B) Factor to solve.
C) x = 4 is a double root.
E) The equation is a perfect square trinomial.
Step-by-step explanation:
Factor to solve.<
By inspection, the equation is a perfect square trinomial.
x = 4 is a double root
By inspection, the middle term's coefficient 8 is twice the square root of 16, the constant; therefore, it is a perfect square trinomial.
x2 − 8x + 16 = 0 → (x − 4)(x − 4) = 0 → x = 4 is a double root.
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Please put down math for this!
What is 5% of 200?
put answer down bellow!
Answer:
10
Step-by-step explanation:
1. Find 5% of 200.
2. 5100×200.
3. =10.
4. so 5% of 200 will be 10.
5x^2-9x-2=0
Will mark brainliest!
Answer:
x = 2 and x = -1/5
Step-by-step explanation:
Factors into (x-2)(5x+1) = 0 and you have your two values for x.
Or solve by quadratic formula [tex]x = \frac{-(-9) \pm \sqrt{9^{2} - 4(5)(-2)} }{2\cdot5} \\x = \frac{9 \pm 11}{10}.\\[/tex]
Two values, [tex]x = \frac{20}{10} = 2\\x = \frac{-2}{10} = -1/5[/tex]
If x ≠ 2y, then
eq1a
2(x-2y)
2y-x
1
0
-2
Which of the following data sets is best described by a linear model
Answer:
sry i dont know
Step-by-step explanation:
lolz
Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers! Please I’d really appreciate the help
Answer:
(1,-2)
Step-by-step explanation:
WE can see that the X value below is 1 and the Y value is -2
What is the length of side BC 2x+7, 4x-7 4x
Answer:
64.6x
Step-by-step explanation:
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2
Which of the following are exterior angles? Check all that apply
Answer: D, C, A
Step-by-step explanation:
An exterior angle is an angle that is supplementary to an interior angle.
The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.
What is the Exterior angle?Exterior angles become by a side of that figure and its extended adjacent side.
The exterior angle has been attached.
Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.
Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.
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someone pls answer this
Answer:
Step-by-step explanation:
In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.
Answer:
The number of people who like winter season is 1000.
Step-by-step explanation:
Event event correspond to a set in the Venn diagram, and we use it to find the percentages.
I am going to say that:
Event A: Like summer season
Event B: Like winter season.
55% like summer season
This means that [tex]P(A) = 0.55[/tex]
20% like winter season
This means that [tex]P(B) = 0.2[/tex]
40% don't like both seasons
This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]
Proportion who like both:
This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Using what we have
[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]
750 like both seasons.
This is 15% of the sample. So the total number of people is t, for which:
[tex]0.15t = 750[/tex]
[tex]t = \frac{750}{0.15}[/tex]
[tex]t = 5000[/tex]
20% like winter season
Out of 5000. So
0.2*5000 = 1000
The number of people who like winter season is 1000.
A rectangle has sides 10 and 8. Find the length of the Diagonal
Answer:
Step-by-step explanation:
Remark
The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.
Givens
a = 10
b = 8
c = ? This is the length of the diagonal.
Solution
a^2 + b^2 = c^2
10^2 + 8^ = c^2
100 + 64 = c^2
c^2 = 164
√c^2 = √164
c = 12.806
PLEASE HELPPPP 10 points for its!!!!!!!!!!
Answer:
area of the square = (SIDE)2
=( 4)^2
= 16 answer
Which number is not located in the correct set of numbers?
1
9
TT
25
160
For the function f(x)=-7x-5, evaluate f(6)
Answer:
f(x)=-7x-5
f(6)=-7(6)-5
f(6)=-42-5
f(6)=-47
The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?
Answer:
35 min show
Step-by-step explanation:
3.75 / 20 = .1875
5.25 / 35 = .15
you pay less for the 35 min show
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