Answer:
1) P(none are red) = 51.2%
2) P(third one is the first one that is yellow) = 12.8%
Step-by-step explanation:
We are given;
P(Yellow) = 20% = 0.2
P(red) = 20% = 0.2
P(Orange) = 10% = 0.1
P(Blue) = 10% = 0.1
P(green) = 10% = 0.1
P(brown) = 30% = 0.3
1) Probability that one is not red is;
P(one not red) = 1 - P(red)
P(one not red) = 1 - 0.2
P(one not red) = 0.8
Since 3 are selected, we will apply multiplication rule for independent events to get;
P(none are red) = 0.8 × 0.8 × 0.8
P(none are red) = 0.512
P(none are red) = 51.2%
2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;
P(third one is the first one that is yellow)
= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)
P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2
P(third one is the first one that is yellow) = 0.128
P(third one is the first one that is yellow) = 12.8%
AADE and AABC are similar. Which best explains why the slope of the line between
points A and D is the same as the slope between points A and B?
The triangles are similar, so the sides are proportional:
AE = AC and DE = BC. Therefore, De = BC, so the slope of
AD is the same as the slope of AB.
Points A, D and B are on the hypotenuses of similar triangles.
Therefore, AD = AB, so the slope of AD is the same as the
slope of AB
The triangles are similar, so the sides are proportional:
DE = BC. Therefore, the slope of AD is the same as the slope
of AB
AE C
The triangles are similar, so the sides have equal lengths.
Therefore, AD = DB, so the slope of AD is the same as the
slope of AB
Answer:
(c) The triangles are similar, so the sides are proportional: DE = BC. Therefore, the slope of AD is the same as the slope of AB
Step-by-step explanation:
Given
See attachment for proper format of question
Required
Why is the slope between A and D the same
From the question, we understand that:
[tex]\triangle ADE[/tex] and [tex]\triangle ABC[/tex] are similar
This implies that similar sides are proportional.
i.e.
[tex]AD \to AB[/tex]
[tex]AE \to AC[/tex]
[tex]DE \to BC[/tex]
Slope (m) is calculated as:
[tex]m = \frac{Rise}{Run}[/tex]
So, the slope of [tex]\triangle ADE[/tex] is:
[tex]m = \frac{DE}{AE}[/tex]
Slope of [tex]\triangle ABC[/tex] is:
[tex]m = \frac{BC}{AC}[/tex]
Since the triangles are similar, then:
[tex]m = m[/tex]
i.e.
[tex]\frac{DE}{AE} = \frac{BC}{AC}[/tex]
Hence, (c) is true
What is 1,713.9999 rounded to the nearest thousandth?
Answer:
1714
Step-by-step explanation:
hope this helps have a great day
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
the answer is 101/9, in fraction it would be 11.2222..... in whole number would be 11, as mixed number would be 11 2/9
Determine whether the point (-3,-6) is in the solution set of the system of inequalities below
y5/3x+2
A) There isn't enough information given
B) The point (-3,-6) is not in the solution sei.
C)The point (-3-6) is in the solution set.
D) The point (-3,-6) is in the solution set under certain conditions.
Answer:
A
Step-by-step explanation:
There isnt enough information given.
Hope it helps u
Please mark as the brainliest
ON CYLINDERS PLEASE HELP DUE IN 15 MIN
Answer:
4.13
Step-by-step explanation:
good luck
Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)
yeah please help me I’ll give brainliest if correct
Answer:
p=20
6p=120
Step-by-step explanation:
Answer:
A: 6p = 120
Solution:
6 / p = 120 / 6
p = 20
dont forget to five-star and heart! ;)
Please HEELLPPP!!!!!!!!!
Answer:
C) 56
Step-by-step explanation:
These angles are supplementary (they add up to 180):
3x + 31 + 2x - 6 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
<FEG:
2x - 6
2(31) - 6
62 - 6
56
Please help
Thanks I really need help and appreciate it
Answer:
umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments
Step-by-step explanation:
have a good rest of your day tho :) ❤
If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Please respond ASAP
Answer:21.2
Step-by-step explanation:
delta math
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
Hey guys I need help asap
Marquel can eat 7 Oreos in 2 minutes. How many Oreos can he eat in 6 minutes?
Answer:
21 Oreos
Step-by-step explanation:
2 × 3 = 6
7 × 3 = 21
hope this helps
Helppppp
a. 90
b. 85
c. 75
d. 115
Answer:
85is the correct answer
What is the value of three to the fourth power?
Factor the following:
x^2 - 9
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]
What is the volume of the triangular prism
Step-by-step explanation:
Calculating volume
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Answer:
answer for your question is answer number a (384 cm^3)
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?
Answer:
Deserea ate more
Step-by-step explanation:
One dozen equals 12
Carla ate 1/4 of it
1/4×12/1=3
Carla ate 3 cookies
Deserea ate 1/2
1/2×12/1=6
Deserea ate 6
6 is greater than 3 so Deserea ate more
what is the average rate of change of the population between 1930 and 1950? show your reasoning?
Answer:
The average rate of change is: 0.25
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change between 1930 and 1950
Average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
In this case,
[tex][a,b] = [1930,1950][/tex]
So, we have:
[tex]m = \frac{f(1950) - f(1930)}{1950 - 1930}[/tex]
[tex]m = \frac{f(1950) - f(1930)}{20}[/tex]
From the attached graph;
[tex]f(1950) = 45[/tex]
[tex]f(1930) = 40[/tex]
So, we have:
[tex]m = \frac{45- 40}{20}[/tex]
[tex]m = \frac{5}{20}[/tex]
[tex]m = 0.25[/tex]
Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6
Answer:
None
Step-by-step explanation:
6÷9=0.666...
9.1÷6=1.5166..
6.1÷9=0.6777...
54 is 54
9÷6=1.5
So none are equal
Answer:
the answer is 6 × 1/9
Step-by-step explanation:
6÷ 9 = 0.666
9 × 1/6 = 1 1/2
6 × 1/9 = 2/3 same as 0.666
54 = 54
9/6 = 1.5
HELP ASAP!!.
50/5+2- [3+9] -3+7
Please show work
Answer:
4
Step-by-step explanation:
50/5+2-[3+9]-3+7
=10+2-12-3+7
=12-12-3+7
=-3+7
=4
Answer:
the correct answer is 4
Step-by-step explanation:
first your going to calculate the parentheses
[3+9]=12
which leaves the equastion as
50/5+2-12-3+7
then multiply and divide going left-right
50/5=10
which makes the equastion
10+2-12-3+7
then add and subtract going left to right so it would be
10+2=12-12=0-3=-3+7=4
A 5-kilogram bag of cement costs $18.15. What is the unit price?
Answer:3.63
Step-by-step explanation:because if we divide 18.15 by 5 is equal 3.63.
Which function is continous across its domain? Pls help
Answer:
Step-by-step explanation:
A function f is continuous on its domain D if f is continuous at every point c∈D. Example 1. The function f(x)=ex (with domain R) is continuous on its domain.
Determine the slope of the line.
Answer:
2/3
Step-by-step explanation:
2w^2 - 15w + 19 = 0
Quadratic Formula
Answer:
x=5.886 , x=1.614
Step-by-step explanation:
Given data
2w^2 - 15w + 19 = 0
a= 2
b= -15
c= 19
The expression for the Quadratic Formula is
x=(-b±√(b²-4ac))/(2a)
substitute
x=(-(-15)±√((-15)²-4*2*19))/(2*2)
x=(15±√225-152))/(4)
x=(15±√73))/(4)
x=(15±8.544))/(4)
x=(15+8.544))/(4) , x=(15-8.544))/(4)
x=23.544/4 , x=6.456/4
x=5.886 , x=1.614
Which group of three squares will form a right triangle when
joined at their vertices?
Answer:
Option ?) 17 cm, 15 cm, 8 cm
The assignment should have four options to choose from, but there is only a picture of two.
Step-by-step explanation:
None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:
a²+b²=c²
We are given two options in the picture.
Option A) 18, 10, and 8.
Option B) 12, 9, and 6.
So, now we need to apply the formula:
Option A)
║8² + 10² = 18²
↓
║64 + 100 = 324
↓
║FALSE
Option B)
║6² + 9² = 12²
↓
║36 + 81 = 144
↓
║FALSE
Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?
There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.
For proof, let's apply the formula:
Option ?)
║8² + 15² = 17²
↓
║64 + 225 = 289
↓
║TRUE
[Since the option isn't shown, I'll put a '?' so there is no confusion]
Solve for the missing angle:
Answer:
47
Step-by-step explanation:
they are corresponding
What is the value of y-x?
A. 20
B. 30
C. 45
Find x.
A. 4/6
B. 6
c. 4√3
D.3/2
100 points and its ez just in class and need help
Answer:
Slope: 3, Y-intercept: 8
Step-by-step explanation:
=> Slope: Change in y / Change in x
Change in y = +6
Change in x = +2
Slope = 6 / 2
Slope = 3
=> A value of y in the data set where x = 0
Y-intercept: 8
Hope this helps!
Answer:
you can mark jadedmulan as brainliest.