Answer:
0.3542 = 35.42% probability that the third light is red
Step-by-step explanation:
For each light:
If it is green, 77% probability that the next is green.
If it is red, 77% probability that the next is red.
If the first light is green, what is the probability that the third light is red?
These following outcomes are desired, for the second and third lights:
G - R(0.77, then 1 - 0.77 = 0.23 probability)
R - R(0.23, then 0.77 probability).
So the desired probability is:
[tex]p = 0.77*0.23 + 0.23*0.77 = 0.3542[/tex]
0.3542 = 35.42% probability that the third light is red
evaluate the expression when b= 2 and c = 12
9 is your answer.
6+3 is 9. You added these two because a=3.
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4
OOOO
A. I
B. II
C. III
D. IV
Next
Save and Exit
Answer:
A. I
Step-by-step explanation:
The other person is wrong and I took the test
Help me with questions 14 and 15! I will give brainliest!!
Answer:
14=9-11
15= 82.2%
Step-by-step explanation:
23/28=0.8214
Select THREE equivalent expressions that show how you could factor 16x-48
2(8x-24)
4(4x-12)
2(8x-48)
16(X-3)
X(16+3)
somebody please help me i’ve been stuck on this for an hour...it’s a maze work sheet so it’s one of the fractions.
Answer:
The probability is 2/11 or 7/95. I don't know if this is the correct answer but I am guessing it is.
Step-by-step explanation:
Hope this helps you :)
Answer:
Probability for first letter to be a vowel is 5/11. When you take it out you’re left with 10 overall letters and 4 more vowels so the probability that the second letter is a vowel is 4/10 if you already took a vowel in the first take.
Probability for your occurence is (5/11)*(4/10)=20/110=2/11
If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.
A=6 × + 10=88555%__/455
What is the answer to Wednesday's Warm-up??????
Answer:
16
Step-by-step explanation:
Answer:
h = 16
Step-by-step explanation:
Ratios:
[tex]\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16[/tex]
Indicate the effect each separate transaction has on investing cash flows. (Amounts to be deducted should be indicated with a minus sign.) Sold a truck costing $45,500, with $24,200 of accumulated depreciation, for $10,200 cash. The sale results in a $11,100 loss. Sold a machine costing $12,800, with $9,100 of accumulated depreciation, for $7,200 cash. The sale results in a $3,500 gain. Purchased stock investments for $17,100 cash. The purchaser believes the stock is worth at least $32,200.
Answer:
the answer is 4000$ i hope that helps
A candle shop owner collected data on customers’ favorite scents, as shown in the table.
Lavender 0.31
Vanilla 0.18
Cinnamon 0.23
Floral ?
Coconut ?
A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?
0.10
0.14
0.20
0.28
Answer:
Step-by-step explanation:
It's 14
The missing probabilities for Floral and Coconut are both 0.14.
To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.
Let's calculate the missing probabilities:
The sum of the given probabilities is:
0.31 + 0.18 + 0.23 = 0.72
Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:
1 - 0.72 = 0.28
Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:
0.28 / 2 = 0.14
Therefore, the missing probabilities for Floral and Coconut are both 0.14.
To know more about probabilities click here:
https://brainly.com/question/30881224
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Help
This is trigonometry
take it seriously, karma exists
I can help you too
I just wanna know if the result is 10.0 rounded to the nearest tenth
I used Sin
Please correct me
Answer:
Yes, your solution is correctStep-by-step explanation:
sine = opposite leg / hypotenusesin 51° = √61 / WYWY = √61 / sin 51°WY = 10.0499134825 ≈ 10.0If you spin this spinner 30 times, how many times would you expect to get not get yellow?
what do entertainment, utilities, and reserves have in common?
Answer:
these are some factors need to have a business
hope this helps
have a good day :)
Step-by-step explanation:
7 1/8 - 3 5/8 plz help me on this math
Answer:
7/2 or 3 1/2
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Step-by-step explanation:
Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.
A discontinuity in a rational function is a point in which the denominator of the function is 0.
For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
A rectangle is 32 meters long and 4 meters wide. Which equation represents the area (A) of the rectangle?
A= 32 x 4
32= A x 4
32= (4x A) x 4
A=( 2x4) + (2x32)
Here are four fractions. Write them small to large
2/3
3/5
5/8
7/11
Answer:
1. 3/5 2. 5/8 3. 7/11 4. 2/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here are four fractions. Write them small to large 2/3 3/5 5/8 7/11
11+11 = 22
can u solve it please.
Answer:
No I'm doing this for a quest
Step-by-step explanation:
Hope you find the answer though
Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?
Answer:
Be quiet you nerd
Step-by-step explanation:
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = e^(x-1), y=0, x=1, x=2
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Step-by-step explanation:
Given the data in the question;
y = [tex]y = e^{(x - 1 )[/tex], y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = [tex]y = e_2}^{(x - 1 )_[/tex], y = 0
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 e^{2x-2}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1[/tex]
Volume = [tex]\frac{\pi }{2e^2} [e^4 - e^2 ][/tex]
Volume = [tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
What is on the HANNA ORLEANS ALGEBRA 1 (7th for 8th) PLACEMENT TEST GUIDE?
Answer:
17
Step-by-step explanation:
ifhrFj,iyjgztizzkyraykeLyrgodyyixynj
CE and FH are parallel lines.
Which angles are supplementary angles?
Answer:
<CDG and <CDB are supplementary angles.
Answer:
hff
Step-by-step explanation:
< CDG and <CDB are supplementary angles.
msm555 is correct
hope it is helpful to you ☺️☺️☺️
what choices are solutions for equation x^2-3x = -5/4
Here's the solution,
=》
[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]
=》
[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]
now, let's multiply the whole equation with 4
=》
[tex]4 {x}^{2} - 12x + 5 = 0[/tex]
=》
[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]
=》
[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]
=》
[tex](2x - 1)(2x - 5) = 0[/tex]
so,
Case 1. where, 2x - 5 = 0
=》
[tex]x = \dfrac{5}{2} [/tex]
case 2. where, 2x - 1 = 0
=》
[tex]x = \dfrac{1}{2} [/tex]
6^2x+2.6^3x=1 solve x=
Answer:
Step-by-step explanation:
if it is [tex]6^{2}x+ 2.6^{3}[/tex]x = 1
36x+17.576x = 1
53.576x = 1
x = 1 / 53.576
x = 1 / [tex]\frac{6697}{125}[/tex]
x = [tex]\frac{125}{6697}[/tex]
or is it
6[tex]x^{2}[/tex] + 2.6[tex]x^{3}[/tex]=1 ?
Answer:
This is what I got.
Step-by-step explanation:
What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1
Answer:
Algebra Examples
Popular Problems Algebra Graph f(x)=3x^2-5
f
(
x
)
=
3
x
2
−
5
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
0
,
−
5
)
Focus:
(
0
,
−
59
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
61
12
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
7
−
1
−
2
0
−
5
1
−
2
2
7
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
−
5
)
Focus:
(
0
,
−
59
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
61
12
x
y
−
2
7
−
1
−
2
0
−
5
1
−
2
2
7
image of graph
Step-by-step explanation:
What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18
Answer:
8 i think i hope it helps
good night
For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.
first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent
second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular
9514 1404 393
Answer:
can be congruent or not congruentmust be perpendicularStep-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.
Your blanks can be filled with ...
can be congruent or not congruentmust be perpendicularWe would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).
Estimate 719 – 274. Round each number first.
Ron has 17 coins with a total value of $2.75. The coins are dimes (10 cents) and quarters (25 cents). How many of each coin does he have?
Ron has ___dimes and ___ quarters.
Answer:Ron has 5 dimes and 9 quarters
Step-by-step explanation:
Lets try 9 quarters,
9x25= 225
275-225=50
50/10(Dime value)
5, Ron has 5 dimes and 9 quarters
Which is the graph of f(x) = 100(0.7)?
Answer:
f(x) = y = 70
Step-by-step explanationsince
since 100 · 0.7 = 70
f(x) = y = 70
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge