Answer:
0.4305
Step-by-step explanation:
Let [tex]P(H_n)[/tex] and [tex]P(T_n)[/tex] be the probability of coming up head and tail respectively on day [tex]n[/tex].
On day four, the coin CH will be salected iff there in head as outcome on the previous day, i.e. on the day three.
So, actually the probability of salection of coin CH on day four is probability of coming up head on day three, [tex]P(H_3)[/tex].
On day 1, n=1:
As one coin is salected randomly from two coin, so, the probability of salection of one coin is 1/2=0.5.
[tex]P(H_1)[/tex] is the probability of salection of coin CH and coming up head or salection of coin CT and coming up head when tossed.
So, [tex]P(H_1)=0.5\times 0.6 + 0.5\times0.3=0.45[/tex].
As there is only two outcome on any day, head or tail, so
[tex]P(T_1)=1-P(H_1)=1-0.45=0.55[/tex]
On day two, n=2:
The probability of salection of any coin depends on the outcpme of previous day, i.e
Probability of salection of coin CH and CT on day two are
[tex]P(H_1)=0.45[/tex] and [tex]P(T_1)=0.55[/tex] respectively.
So, [tex]P(H_2)=0.45\times 0.6 + 0.55\times0.3=0.435[/tex].
As there is only two outcome on any day, head or tail, so
[tex]P(T_2)=1-P(H_2)=1-0.435=0.565[/tex]
Similarly, on day three, n=3:
The required probability is [tex]P(H_3)[/tex],
[tex]P(H_3)=P(H_2)\times0.6 + P(T_2)\times 0.3[/tex]
[tex]\Rightarrow P(H_3)=0.435\times0.6 + 0.565\times 0.3=0.4305[/tex]
Hence, the salection od coin CH on day four is 0.4305.
What does x equal in this equation x= .49x^2
Answer:
x=0, 2.04 (2dp)
Step-by-step explanation:
Assuming is it 0.49, our equation currently looks like this:
x = 0.49x^2
The first step is to move all x terms to one side which we can se by subtracting an x from both sides.
x - x=0.49x^2 - x
0 = 0.49x^2 - x
Now we can factorize by pulling out the x, which is a common factor:
0=x(0.49x-1)
We can now see that one of the solutions is x = 0, because anything in the brackets multiplied by 0 is 0.
To find the other solution we can divide both sides by x and solve:
0/x=x(0.49x - 1)/x
0=0.49x-1
1=0.49x
Now we just divide both sides by 0.49 to get our second answer!
1/0.49=0.49x/0.49
2.04=x
x = 0, 2.04 (2dp)
Hope this helped!
I need help with the last question help plz
2x^3+4x^2+8x Factor the polynomial. solve with steps
What is the slope of line n?
Answer:
-2x,y5
Step-by-step explanation:
Hope this helped
find the value of (-17)-(40)+25
Answer:
-17-40+25
=25-57
= -32
3(n+1)= 5.4 enter the answer in the box n=?
please explain how you get your answer!! Thanks :) questions below:
What is the simplified expression for 4^-3 x 3^4 x 4^2/3^5 x 4^-2
A. 3/4
B. 4/3
C. 4^2/3
D. 3^3/4
Step-by-step explanation:
4^2/3
but I got 4^-3/3
hope help ful
The sale rack at the department store said that an additional 30 percent discount would be taken on all items. If a dress on the sale rack had an original price of $86 and was already marked down by 25 percent, what is final cost of the dress before taxes? $38.70 $45.15 $47.30 $60.20
Answer:
45.15
Step-by-step explanation:
Answer: 45.15
Step-by-step explanation:
Find all real zeros of the function y=-7x+8
a. 8/7
b. -7/8
c. -8/7
d. -7
Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.
Answer:
130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.
Step-by-step explanation:
The range of values required here implies the values fall between the least and maximum values.
Since the values can vary by 1.4%, the range can be determined by:
1.4% of 130 = [tex]\frac{1.4}{100}[/tex] x 130
= 0.014 x 130
= 1.82
The addition or subtraction of 1.82 to/from 130 inches gives the required range.
i.e the range of allowable values = 130 ± 1.82 inches.
Thus,
130 - 1.82 = 128.18 inches
130 + 1.82 = 131.82 inches
The values falls between 128.18 inches to 131.82 inches.
Graph the line with slope -1 passing through the point (2,-4)
Answer:
put a dot on point (2,-4) then go one to the right and one down hope this helps
Step-by-step explanation:
The equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.
What is the equation of a line?
The equation of a line is the relation between the x-coordinates and y-coordinates of the points on the line, such that all (x, y) points, satisfies this equation.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.
How to solve the question?In the question, we are asked to graph the line with slope -1, and passing through the point (2, -4).
We know that, the slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.
Substituting m = -1, x = 2, and y = -4, in the equation, we get:
-4 = -1(2) + b,
or, b = -4 + 2 = -2.
Thus, the equation of the line is: y = -1(x) - 2,
or, x + y = -2.
Thus, the equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.
The graph for the equation is attached.
Learn more about equations of line at
https://brainly.com/question/18035751
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Salt and sugar give two distinctly different taste, one salty and the other sweet. In a mixture of salt and sugar, it is possible for the mixture to be salty, sweet or both. Will any of these mixtures taste exactly the same?
Mixture A: 2 cups water, 4 teaspoons salt, 0.25 cup sugar
Mixture B: 1.5 cups water, 3 teaspoons salt, 0.2 cup sugar
Mixture C: 1 cup water, 2 teaspoons salt, 0.125 cup sugar
Group of answer choices
All of the answers
None of the answers
Mixture B and C
Mixture A and B
Mixture A and C
Answer:
i just took the test and its A and C
Step-by-step explanation:
If 2 1/4 pounds of bananas cost $1.89, what is the cost per pound?
Answer:
84 cents a pound divide 2 1/4 by 1.89 equals 0.84
Step-by-step explanation:
:)
The double number line shows the amount of time a hen needs to lay 111 egg.
Complete the table to show the same information as the double number line.
Eggs Time (hours)
3
100
12
Step-by-step explanation:
3/75
4/100
12/300
The completed table is:
Eggs Time (hours)
3 75
100 2500
12 300
What is a double-number line?In a double number line diagram, equivalent ratios are represented by two parallel number lines.
Given that, the hen takes 25 hours to produce 1 egg.
1 egg = 25 hours
3 eggs = 25 × 3 hours
3 eggs = 75 hours
Similarly,
100 eggs = 2500 hours
and,
12 eggs = 300 hours
Hence, the completed table is:
Eggs Time (hours)
3 75
100 2500
12 300
Learn more about the double number line:
https://brainly.com/question/13553589
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Explain how an enlargement of reduction in the dimensions of a building would cause a change in the scale factor.
Answer:
The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.
Step-by-step explanation:
Answer:
The scale factor is a proportional relationship. The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship. Enlargements have a scale factor greater than 1. Reductions have a scale factor between 0 and 1. The proportion should be preserved.
Hope this Helps!
Lillian earned $397.50 at her job when she worked for 25 hours. What was her hourly wage, in dollars per hour? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
Answer:
$15.9
Step-by-step explanation:
$397.5 = 25 hour
=> x dollars = 1 hour
=> 397.5 * 1 = 25 * x
=> 397.5 = 25x
=> 397.5/25 = 25x/25
=> 15.9 = x
So, for 1 hour he earns $15.9
When I say f(x) is continuous at x = C, what exactly does that mean?
Mark walks to school in 3 minutes. It takes Darnell 4 times as long to walk to school as it does Mark. How long does it take Darnell to walk to school?
Answer:
12 minutes
Step-by-step explanation:
Mark walks in 3 minutes. Darnell walks 4 times as long to walk to school as Mark did.
You need to multiply 3 x 4 = 12 minutes
Use the equation to answer the question.
p+ 4 = 15
What is the value of p?
A. 6
B. 9
C. 11
D.19
Answer:
C. 11
Step-by-step explanation:
15-4=11
Least to greatest
913.601
912.21
913.61
912.202
Answer:
Least to greatest
Step-by-step explanation:
912.202
912.21
913.601
913.61
Add zero's next time, (to 912.21 and 913.61 . It could help.)
Are these ratios equivalent?
3 medium cars to 1 small car
18 medium cars to 6 small cars
Answer:
Yes
Step-by-step explanation:
3 medium cars to 1 small car can be made into a fraction like this: [tex]\frac{3}{1}[/tex] or [tex]\frac{1}{3}[/tex]. But you must be consistent if the denominator represents medium cars or small cars.
For this, I'm just going to make medium cars the numerator.
18 medium cars to 6 cars can be made into a fraction like this : [tex]\frac{18}{6}[/tex].
When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).
[tex]\frac{3}{1}=\frac{18}{6} = 3[/tex]
[tex]\frac{1}{3} = \frac{6}{18} = .3333333[/tex]
These ratios are equivalent.
What is the range of y=x+3 squared?
Answer:
x>9
Step-by-step explanation:
please help what is
5w = –27.5.
Answer: w= -5.5
Step-by-step explanation: -27.5/5=-5.5. w = -5.5
HELPP SOMEONEEE 12 POINTS !!
Which word describes the slope of the line?
positive
O negative
O zero
O undefined
Answer:
Undefined it looks like, if not, it is zero.
Step-by-step explanation:
:>
is 7/2 and 16/6 a proportion
Answer:
No, because 7/2 can be simplified to 21/6, and that is not proportional.
Step-by-step explanation:
find the value of x.
Answer:
x=100°
Step-by-step explanation:
Sum of all angles in a quadrilateral=360
60+x+x+x= 360
60+3x= 360
3x= 360-60
3x=300
x=100
Hope it helps :-)
(4x+5)-(3x-3) write this in the simpilest form pls explain
Answer:
x+8
Step-by-step explanation:
4x-3x=x
5-(-3)=8 or 5+3=8
Reason its adding is because a - times a - equals a positive
multiplatication (x + 3)2
Answer: x^2+6x+9
Step-by-step explanation:
this will factor out to
X^2+6x+9
Answer:
x^2 + 6x + 9
Step-by-step explanation:
This is asking for (x+3) (x+3)
Using the FOIL method
(x * x) First, x times x
+ 3x Outside, x times 3
+ 3x Inside, x times 3
+ 9 Last, 3 times 3
Therefore, we have
(x*x) + 3x + 3x + 9
And simplified
x^2 + 6x + 9
If 6×2 + 6y2 = 13xy, what is the ratio of x to y?
Answer:
Since 6X2 + 6Y2 = 13 xy
-- 6X2 / XY + 6Y2/XY =13
---> 6 X/Y + 6 Y/X =13
6a + 6/a =13
---> 6a2 + 6 =13a
---> 6a2 -13a +6 =0
---> 6a2 -9a - 4a +6 =0
---> (2a-3) (3a-2) =0
2a-3 = 0
a= 3/2
So the Ratio will be = 3:2
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
q(t) = (2t2 + 3)/t2
(a) q(2)
(b) q(0)
(c) q(−x)
Answer:
The function values of [tex]{q(2)}[/tex] is [tex]\bold{\dfrac{11}{4}}[/tex], [tex]q(0)[/tex] is UNDEFINED and [tex]q(-x)[/tex] is [tex]\bold{2+\dfrac{3}{x^2}}[/tex]
Step-by-step explanation:
Given,
[tex]q(t)=\dfrac{2t^2+3}{t^2}[/tex]
Part (a)
Find [tex]q(2)[/tex]
Put [tex]2[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(2)[/tex].
Therefore,
[tex]\begin{aligned}q(2)&=\dfrac{2\times2^2+3}{2^2}\\&=\dfrac{8+3}{4}\\&=\dfrac{11}{4}\end{aligned}[/tex]
Part (b)
Find [tex]q(0)[/tex]
Put [tex]0[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(0)[/tex].
[tex]\begin{aligned}q(0)&=\dfrac{2\times0^2+3}{0^2}\\&=\dfrac{3}{0}\\&=\infty\end{aligned}[/tex]
Part (c)
Find [tex]q(-x)[/tex]
Put [tex]-x[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(-x)[/tex].
Therefore,
[tex]\begin{aligned}q(-x)&=\dfrac{2\times(-x)^2+3}{(-x)^2}\\&=\dfrac{2x^2+3}{x^2}\\&=2+\dfrac{3}{x^2}\end{aligned}[/tex]
