Answer:
A. 64/125
B. 124/125.
Step-by-step explanation:
A). As the events ( germinate or not germinate) are independent we multiply the probabilities.
Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.
B). Probability of at least one germinating = 1 - probability that none germinate
Probability of 1 seed not germinating = 1 -45 = 1/5.
So Prob(at least one germinating)
= 1 - (1/5 * 1/5 * 1/5)
= 1 - 1/125
= 124/125.
The probability that all 3 seeds will germinate is 64/125 and the probability that at least one of the seeds will germinate is 124/125.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
(A)
The probability of all seeds will germinate will be the product of individual probability since all events are independent.
4/5 × 4/5 × 4/5 = 64/125.
B)
Probability of at least one germinating = 1 - the probability that none germinate
The probability of 1 seed not germinating will be given as,
1 -4/5 = 1/5
Thus, the probability of all three seeds not germinating = 1/5 × 1/5 × 1/5
Thus, the probability that at least 1 of the seeds will germinate.
⇒ 1 - (1/5 × 1/5 × 1/5)
⇒ 1 - 1/125
⇒ 124/125
Hence "The probability that all 3 seeds will germinate is 64/125 and the probability that at least one of the seeds will germinate is 124/125".
For more information about the probability,
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If you were to roll one die, one time what is the probability it will land on a number other than 3?
Answer:
3
Step-by-step explanation:
Answer:
1/6 (16.667%)
Step-by-step explanation:
there is six sides on on the dice. So there is only one side of the dice that has the number 3. 1/6 is the probability.
solve the equation 12x+6y=24 for x ? i need help
Answer:
x= -1/2y+2
Step-by-step explanation:
Let's solve for x.
12x+6y=24
Step 1: Add -6y to both sides.
12x+6y+−6y=24+−6y
12x=−6y+24
Step 2: Divide both sides by 12.
12x
12
=
−6y+24
12
x=
−1
2
y+2
Answer: x= -1/2y+2
Hope this helps.
Answer:
x=2−y/2
Step-by-step explanation:
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
0을
o
Noo
100
Na
Round 43.597 to nearest hundred
Write the equation of the line, given the y- and x-intercepts:
y-intercept (0, 19), x-intercept (–9.5, 0)
Answer:
y=2x+19
Step-by-step explanation:
Slope: 0-19/-9.5-0=-19/-9.5=2
y-intercept: 19
Answer:
y=2x+19
Step-by-step explanation:
Sparkle Cleaners uses 2/3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week?
Answer: 2/9th of a bottle
Step-by-step explanation:
2/3 of a jug = 3 weeks
1 week =( 1 x 2/3) / 3
= 2/3 x 1/3 = 2/9
They use 2/9 of a jug of window cleaner in 1 week.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Cleaner used = 2/3 of a jug
Number of weeks = 3
So, Cleaner used in 1 week = Cleaner used / Number of weeks
⇒ Cleaner used in 1 week = (2/3) / 3
⇒ Cleaner used in 1 week = 2/9 of a jug
Thus,they use 2/9 of a jug of window cleaner in 1 week.
To learn more about fractions:
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The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively.
URGENT
Approximately how many spheres the size of Pluto does it take to have the same volume as Earth?
A.121
B. 154
C. 165
D.176
E.189
Answer:
A
Step-by-step explanation:
Which Function is shown in the Graph?
Answer:
A is the correct answer
Step-by-step explanation:
Hope i helped :)
The bar graph below shows the number of aluminum cans collected by students in the month of October. How many cans did seigi and Ariel collect together
Answer:
1 2 3 4 5 6 7 8 9 10 bars are there
A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
If a single marble is pulled out of the bag, how many outcomes are in the sample space?
Answer:
10 outcomes
Step-by-step explanation:
The number of outcomes is the number of marbles in the bag since we are taking out one marble
4+2+1+3 = 10
There are 10 outcomes
Answer:
10 Thank you Person above me I knew the answer but I am saying thank you because my cousin is happy that you showed your answer to them and answered for them Have a good day or a good life hopefully life don´t do bad things in life
Step-by-step explanation:
Write the number pairs that relate the number of half dollar to the number of dimes
Answer:
0.10 + 0.10 + 0.10 + 0.10 + 0.10 equal to 5 dimes or a half of dollar.
Step-by-step explanation:
0.10 + 0.10 + 0.10 + 0.10 + 0.10 = 0.50 (half of a dollar)
Please answer this correctly
Answer:
13
Step-by-step explanation:
Find the scale factor by 39 / 30
Take that times 10
1.3 x 10 = 13
Since the questions states these two shapes are "similar" the side will have identical scale factors.
Divide the longest side of the bigger shape to the smaller shape.
39 / 30 = 1.3
The scale factor is 1.3.
Now, multiply the shortest side if the smaller shape by the scale factor.
10 * 1.3 = 13
Therefore, the length of w is 13mm
Best of Luck!
Given a right triangle with leg a = 6 and hypotenuse c = 10. Find the three heights, the three medians, the three bisectors, and the radii of the inscribed and circumscribed circles.
Answer:
The three heights are 4.8, 6, 8The three medians are 5, 2√13, √73The three angle bisectors are (24/7)√2, 3√5, (8/3)√10The radii of the incircle and circumcircle are 2 and 5, respectivelyStep-by-step explanation:
a) The other leg of the right triangle is ...
b = √(10² -6²) = √64 = 8
The area of the triangle is ...
A = 1/2bh = 1/2(6)(8) = 24
Then the height to the long side is ...
h = 2A/c = 48/10 = 4.8
The three heights are 4.8, 6, 8.
__
b) The medians to the hypotenuse is half its length, because that is also the radius of the circumcircle: 10/2 = 5.
The medians to the legs are computed from the Pythagorean theorem:
median to "b" = √(4² +6²) = √52 = 2√13
median to "a" = √(3² +8²) = √73
The three medians are 5, 2√13, √73.
__
c) The angle bisectors to the legs can be found in a fashion similar to the medians, using the angle bisector theorem to locate the point of intersection on the leg.
The angle bisector to "b" divides it into segments in the ratio 6:10, so the point of intersection is 6/(6+10)×8 = 3 units from the right angle. Then its length is ...
bisector to "b" = √(6² +3²) = √45 = 3√5
The angle bisector to "a" divides it into segments in the ratio 8:10, so the point of intersection is 8/(8+10)×6 = 8/3 units from the right angle. Then its length is ...
bisector to "a" = √(8² +(8/3)²) = (8/3)√10
I find it easier to compute the bisector to the hypotenuse by considering the hypotenuse to be a line with x- and y-intercepts at 8 and 6. Then its equation can be 3x+4y=24, and its intersection with the line y=x will be x = y = 24/7. The length of the segment to that point is ...
bisector to "c" = (24/7)√2
The three angle bisectors are (24/7)√2, 3√5, (8/3)√10.
__
d) The radius of the inscribed circle can be found from the formula ...
r = √((s-a)(s-b)(s-c)/s) . . . . where s is the semiperimeter = 24/2 = 12
r = √(2×4×6/12) = 2
The hypotenuse is the diameter of the circumscribed circle, so the radius of that circle is c/2 = 5.
The radii of the incircle and circumcircle are 2 and 5, respectively.
What is the area of triangle QRS?
7 square units
9 square units
10 square units
13 square units
Answer:
A 7
Step-by-step explanation:
there were 632 animals gathered at the river. a herd of 187 elephants and 266 zebras left the river area. how many animals were still at the river?
Answer: There was a total of 173 animals left by the river
Step-by-step explanation:187+266 = 453
You subtract 453 from the total number of animals which is 632
632-453 = 179
PLZ HELP ME
The graph shows the solution to which system of inequalities?
A) y < -2x + 4 and y < 2x + 4
B) y < -2x + 4 and y ≤ 2x + 4
C) y > -2x + 4 and y ≤ 2x + 4
D) y ≤ -2x + 4 and y ≤ 2x + 4
Answer:
see below
Step-by-step explanation:
The shading is below the line in both cases. The dashed line has negative slope, so the inequality associated with it is ...
y < -2x +4 . . . . . . note that the < symbol has no "or equal to"
The solid line has positive slope, so its inequality is ...
y ≤ 2x +4
Both these inequalities are found in choice B.
if a binomial event has a probability of success of 0.5, how many successes would you expect out of 2000 trials
A.1000
B.600
C.1800
D.1400
Answer:
1000
Step-by-step explanation:
a binomial event only has two possible outcomes
P(success) = .5
Multiply the probability of success by the number of trials
.5*2000 =1000
A group of dancers raised some money for a charity here is some information about the money raised
One of the dancers is chosen at random to give the money raised to the charity
What is the probability that this dancer raised less then £10
Answer:
19/30
Step-by-step explanation:
out of 60 people 38 dancers earned less than 10, so the fraction is 38/60 and simplified its 19/30
in the coordinate plane, ABCD has vertices with coordinates A(1,-1), B(-5,3), C(-3,6),
and D(3,2)
Answer:
C
Step-by-step explanation:
8. Simplify the rational expression.
3x-27
3x + 3
Answer:
below
Step-by-step explanation:
3(x-9)
3(x+1)
divide by a gcf and place it outside the parenthesis.
Question 3 (1 point)
What is the value of x in the equation 8+4 = 2(x - 1)?
a
11/2
b
13/2
c
5
d
7
Answer:
D. 7
Step-by-step explanation:
(8+4) = 2(x-1) multiply (x-1) by 2
(8+4) = 2x-2 add 8 and 4
12 = 2x-2 add 2 on both sides
14 = 2x divide both sides by 2
7 = x
How many decimal places are in the product of the expression below?
256
x142
one
two
three
four
Answer:
36352.0
Step-by-step explanation:
For 256x142 = 36352.0
There is none actually
A greenhouse contained both 6-inch high geraniums and 3 inch high geraniums. The 6-inch high geraniums were taken out of the greenhouse in early spring and grew at a rate of 1 inch per week. The 3 inch high geraniums remained in the greenhouse and grew at a rate of 1 (1/2) inches per week. After the 6-inch high geraniums were taken outside, in how many weeks were both groups of geraniums the same height.
Answer:
6 weeks
Step-by-step explanation:
Let the number of weeks be x.
Then we have an equation:
6 + 1*x = 3 + 1 1/2 x6 + x = 3 + 1.5x1.5x - x = 6 - 30.5x = 3x = 3/0.5x = 6 weeksSo after 6 weeks both 6-inch and 3-inch geraniums will have same height
What is the value of | -9 | ?!!!!
Answer:
9
Step-by-step explanation:
Step-by-step explanation:
|-9|=9
..
because inside | | numbers are always positive
4x-k=17 solve for x
Answer:
k = -17 + 4x
Step-by-step explanation:
Simplifying
4x + -1k = 17
Reorder the terms:
-1k + 4x = 17
Solving
-1k + 4x = 17
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-1k + 4x + -4x = 17 + -4x
Combine like terms: 4x + -4x = 0
-1k + 0 = 17 + -4x
-1k = 17 + -4x
Divide each side by '-1'.
k = -17 + 4x
what is the solution for x^2 +14x +15
Step-by-step explanation:
the solution are
x = 1 or x = -15
x^2 + 14x - 15 =0
x^2 + 14x = 15
to write the left hand side as a perfect square we add 49 to both sides :
x^2 + 14x + 49 = 15 + 49
x^2 + 2.x.7 + 7^2 = 64
using the identity (a^2 + b^2) = a^2 + 2ab + b^2
(x + 7)^2 = 64
x + 7 = √64 or x + 7 = -√64
x = 8 - 7 or x = - 8 - 7
= 1 = - 15
Factor 24 j − 16 24j−1624, j, minus, 16 to identify the equivalent expressions.
Answer:
8(3j-2)
Step-by-step explanation:
Given the expression: 24j−16
We are required to factor the expression.
The GCD of 24 and 16 is 8. We therefore divide both terms of the expression by 8.
[tex]8(\dfrac{24j}{8}-\dfrac{16}{8})\\\\=8(3j-2)[/tex]
An equivalent expression therefore is: 8(3j-2)
At the Boxer carnival, you can exchange 40 tickets for various assortments of
prizes. Some of those assortments are below. How many tickets does it take
to get a single tacky mirror?
1 goldfish, 2 tacky mirrors, 1 stuffed tiger
5 goldfish, 1 stuffed tiger
2 goldfish, 3 tacky mirrors
Answer:
g = number of tickets for goldfish
t = number of tickets for tacky mirrors
s = number of tickets for stuffed tiger
1g + 2t + 1s = 40
5g + + 1s = 40
2g + 3t = 40
using the second equatin we can find a value for s
1s = 40 -5g
now substitute in the first equation to get rid of s
1g + 2t + (40-5g) = 40
-4g + 2t = 0
now use this new equation with equation 3 and solve for one of the values
-4g + 2t = 0
2g + 3t = 40
multipy the second equation by 2 and then combine
-4g + 2t = 0
4g + 6t = 80
8t = 80
t = 10 (so it takes 10 tickets to get a takcy mirror)
2g + 3(10) = 40
2g = 10
g = 5 (five tickets to get a goldfish)
s = 40 -5(5)
s = 15 (fifteen tickets for a stuffed tiger)
1(5) + 2(10) + 1(15) (substitute back in the first equation)
5 + 20 + 15
40 it works!
which type of graph would you use to show the number of candy bars collected by each trick or treater in the neighborhood
Answer:
bar graph
Step-by-step explanation:
y axis = number of kids
X axis = types of candy bars
please answer quick ! 6 9/10 - 2 2/9 = ?
Answer:
4 61/90
Step-by-step explanation:
6 - 2 = 4
9 / 10 - 2 / 9 = 61 / 90