Answers
the probability of getting heads on a two-face coin is simply 1/2.
now, what is the probability of getting 1/2 AND 1/2 AND 1/2 AND 1/2 AND 1/2? well, AND means "times", namely
[tex]\cfrac{1}{2}\stackrel{and}{\cdot }\cfrac{1}{2}\stackrel{and}{\cdot }\cfrac{1}{2}\stackrel{and}{\cdot }\cfrac{1}{2}\stackrel{and}{\cdot }\cfrac{1}{2}\implies \cfrac{1}{32}[/tex]
well, and since it's a two-face coin, the probability for each face is equal, 1/2, so Heads has a chance of 1/2 each time, or we can also say that Tails has a chance of 1/2 each time, so if Tails has the same probability over 5 times as Head does.
Related Questions
how many pairs of each type of angles do two lines and a transversal form? vertical angles
Answers
The number of pairs of angles formed are about 7 types.
What are the Pairs of Angles Formed by a Transversal and Two Lines?In the image given, when transversal t crosses the two lines, a and b, 8 angles are formed.
The pairs of angles formed are:
Vertical angles, for example, angles 2 and 4.Linear pair angle, for example angles 1 and 2.Corresponding angles, for example angles 1 and 5.Alternate interior angles, for example angles 4 and 5.Alternate exterior angles, for example angles 1 and 8.Same-side interior angles, for example angles 3 and 5.Same-side exterior angles, for example angles 2 and 8.Therefore, there are about 7 types of pairs of each type of angles formed.
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If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set of digits, find the probability that the one chosen is not a multiple of 5.
(0, 1, 2, 3, 4,5)
Answers
Answer:
5/25
Step-by-step explanation:
find the surface area of the triangular prism.
Answers
The surface area of the triangular prism is 93 squared feet.
What is the surface area of the triangular prism?
The surface area of triangular prism is expressed as;
S.A = bh + ( s₁ + s₂ + s₃ )H
From the diagram;
h = 2ftb or s₁ = 3fts₂ = 3fts₃ = 3ftH = 10ftWe substitute our given values into the equation above.
S.A = bh + ( s₁ + s₂ + s₃ )H
S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft
S.A = 3ft² + ( 9ft )10ft
S.A = 3ft² + 90ft²
S.A = 93ft²
The surface area of the triangular prism is 93 squared feet.
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Select the correct answer. What are the solutions to this equation? 16x2 + 9 = 25
Answers
The solutions to the given quadratic equations are x = -25/16 and x = 1
Quadratic equationsFrom the question, we are to determine the solutions to the given quadratic equation
The given quadratic equation is
16x² + 9 = 25
The equation can be solved as follows
16x² + 9 = 25
16x² + 9 - 25 = 0
16x² -16x +25x -25 = 0
16x(x -1) +25(x -1) = 0
(16x +25)(x -1) = 0
16x + 25 = 0 OR x - 1 = 0
16x = -25 OR x = 1
x = -25/16 OR x = 1
Hence, the solutions to the given quadratic equations are x = -25/16 and x = 1
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Find f(-3) for f(x) = 4(2)^x.
Answers
Answer:
1/2
Step-by-step explanation:
[tex]f( - 3) = 4 {(2)}^{ - 3} = \frac{1}{2} [/tex]
When a function is evaluated with a zero, it represents:
-the initial amount or starting point before a certain time.
-the initial amount or starting point.
-the initial amount or starting pint after a certain time
Answers
Answer: the initial amount or starting point.
Step-by-step explanation:
Q1. A man wants to paint his house in 3 colors. If he can choose 3 colors out of 6 colors, how many
different color settings can he make?
(A) 216 (B) 20 (C) 18 (D) 120
Answers
The number of color settings he can make is 20
How to determine the number of color setting?The given parameters are
Colors, n = 6
Selected color, r = 3
The number of color setting is calculated as:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives
[tex]^6C_3 = \frac{6!}{3!3!}[/tex]
Evaluate the expression
[tex]^6C_3 = 20[/tex]
Hence, the number of color settings he can make is 20
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To find the driver's initial speed
Answers
The speed of the driver is 200km/hr.
How to calculate the speed?The information is incomplete and an overview will be given since the complete information wasn't found online.
It should be noted that speed is calculated as:
= Distance / Time
Let distance = 2000km
Let time = 10 hours.
Speed = Distance/Time
Speed = 2000/10
Speed = 200km/hr
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Melissa bought 42 pine seedlings and 30 juniper seedlings
to plant in rows on her tree farm. She wants each row to
have the same number of seedlings. She wants only one
type of seedling in each row. What is the greatest number of
seedlings she can plant in each row? How many rows of each
type
of tree will there be?
Answers
Answer:
See below
Step-by-step explanation:
GCF (greatest common factor ) of 42 and 30 is 6
each row will have 6 seedlings
there will be ( 42+30) / 6 = 12 rows
7 pine rows 5 juniper rows
Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.
Answers
The number of pounds of blueberries and grapes sold are 11 and 22.
According to the statement
we have given that the:
Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25.
And total money collected by selling pounds is $55
And total number of pounds sells = 33
And we have to find the Number of pounds of blueberries and grapes.
Let the number of pounds of blueberries is X
And Let the number of pounds of grapes is Y
So,
The equation becomes is:
X + Y = 33 -(1)
2.50X + 1.25Y = 55 -(2)
Now, From substitution method
From (1) equation
Y = 33 - X
put these in equation (2) then
2.50X + 1.25(33 - X ) = 55
2.50X + 41.25 - 1.25X = 55
1.25X = 13.75
X = 11
and the the value of Y becomes
Y = 33 - X
Y = 33 - 11
Y = 22.
So, The number of pounds of blueberries and grapes sold are 11 and 22.
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Why we need the least common denominator to add or subtract ration?
Answers
Answer:
It is necesary to look for the least common denominator when one is trying to add or subtract rational expressions that do not have the same denominator
Step-by-step explanation:
Ram bough some pen for Rs 90. If he paid Rs 1 less for each he would have 3 more pens. How many pens did he buy?
Answers
Based on the fact that Ram bought some pens and they cost Rs.90 but if he had paid Rs.1 less for each he would have 3 more pens, the number of pens he bought is 6 pens.
What number of pens did Ram buy?This can be represented as:
(x + 3) (y - 3) = 90
Where xy = 90
xy - 3x + 3y - 9 = xy
3y - 3x - 9 = 0
y - x - 3 = 0
x - y + 3 = 0
Solving further gives:
x - 90/ x + 3 = 0
x² + 3x - 90 = 0
Remembering that:
90 = 9 x 10
= 3 x 3 x 2 x 5
= 15 x -6
Going back to the formula:
x (x + 15) - 6 (x + 15)
(x + 15) (x - 6) = 0
x - 6 = 0
x = 6 pens
In conclusion, the number of pens bought was 6 pens.
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say true false .
empty set is the subset of any set
Answers
Answer:
True. empty set is the subset of any set
f(x) = [(9,11),(-11,4),(7,-6),(11,-1), (-6,-15),(-13,-5)].
f^-1(f(93)) = m
(f(7)) = n
Find m and n
Answers
Using the inverse functions property:
f⁻¹(f(93)) = m = 93f(7) = n = -6How to find the values of m and n?
Two functions f(x) and f⁻¹(x) are inverses if:
f( f⁻¹(x) ) = x
f⁻¹(f(x)) = x
We want to get:
f⁻¹(f(93)) = m
By using the above definition we get:
f⁻¹(f(93)) = m = 93
Now for the second one we want:
f(7) = n
If you look at the table, you can see that f(x) contains the point (7, -6), then:
f(7) = n = -6
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The acute angle between the lines x – 3y – 6 = 0 and y = 2x + 5 is
Answers
Answer:
Step-by-step explanation:
eq. of line x-3y-6=0
3y=x-6
y=1/3 x-6/3
or
y=1/3 x-2
its slope m1=1/3
y=2x+5
slope m2=2
if α is the angle between the lines then
[tex]tan~\alpha =|\frac{m1-m2}{1+m1m2} |=|\frac{\frac{1}{3} -2}{1+1/3\times 2}| =|\frac{1-3\times2}{3+2}| =5/5=1=tan 45\\\alpha =45^\circ\\[/tex]
Evaluate the expression. 2+6+ – 4 4 /5 ÷ – 3 Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
9 3/5
Step-by-step explanation:
2+6+-4 4/5 ÷ -3
PEMDAS! First is multiplicationSo, solve the bold
2+6+ -4 4/5 ÷ -3
So,
2+6+ 1 3/5
Next is Addition(IN ORDER OF THE EQUATION), So solve the bold,
2+6+ 1 3/5
So, the answer is
9 3/5
19. Solve each equation by graphing. Round to the nearest tenth.
6x² +18x=0
3,6
0, -3
-3, -6
-1,6
Math 2
Answers
Answer:
0, -3
Step-by-step explanation:
Attachment.
In short, it is way easier to not graph it, however, if you really need to graph it, change it to the correct form, then do some plug and chug if the equation is not so friendly.
5-43-2
O (6,4)
-
O (3/2, 1)
2
3
Do,2 of Y is:
O (5, 4)
45
S
73
4
(3.2)
y
12 34
2
N
(4,0) X
(2,-2)
Answers
Answer:
(6, 4)
{second option given}
Step-by-step explanation:
we know that point y is (3, 2)
If we dilate this point by a factor of 2, we will get (6, 4)
why?
when we "dilate" something, we multiply both numbers of that point by a scale factor, we can see that this factor is 2--so we can multiply both 3
(3 ·2 = 6) and 2 (2 · 2 = 4) to get our new point, (6, 4)
hope this helps! have a lovely day :)
The surface areas of two similar rectangular prisms Are 361m squared And 441m squared. What is the scale factor Of the larger prism to the smaller prism
Answers
The scale factor Of the larger prism to the smaller prism is 0.9
How to determine the scale factor?The given parameters are
Large area = 441
Small area = 361
Divide the small area by the large area
Small/Large = 361/441
Take the square root to determine the scale factor k
[tex]k = \sqrt{\frac{361}{441}[/tex]
Evaluate
k = 0.9
Hence, the scale factor Of the larger prism to the smaller prism is 0.9
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In Hawaii”s Kona iron man competition, Gretchen swims the first 7/8 of a mile in 70 minutes. At this pace, how many minutes will it take for Gretchen to swim the entire 2 2/5 mile course
Answers
It would Gretchen 192 minutes to swim the entire 2 2/5 mile course.
What is speed?
Speed is distance divided by the time taken to cover the distance.
In this case, we can determine distance covered in a minute by dividing the speed by the distance, which is distance of 7/8 mile(i.e. 0.825 mile) over the time take to cover the distance.
speed per minute=0.825/70
speed per minute=0.0125 mile/minute
With this, we can determine the time in minutes it would take to cover 2.4 miles(2/5=0.4)
0.0125=2.4/time
0.0125*time=2.4
time=2.4/0.0125
time=192 minutes
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Graph the line. y = -1/5x-5 Both points y and x
Answers
Answer:
connect the dots (0, -5) and (5, -10).
can someone please help me with this
Answers
See picture attached. First I finished the transversal line across the parallel lines. Then I used opposite interior angle theorem to find the 144 deg. Angle. Then I found the 36 degree angle in the triangle (180-144=36). Then I found the third angle in the triangle using the 180 degree supplementary angle theorem again, all three add up to 180, so 180-62-36= 82. Vertical angles are congruent so the opposite angle of 82 is also 82. Then I could find “x” using the 180 degree supplementary angle theorem again. 180-82= 98. Problem solved.
If f(x)f(x) is an exponential function where f(3.5)=12f(3.5)=12 and f(9)=75f(9)=75, then find the value of f(7.5)f(7.5), to the nearest hundredth.
Answers
Using an exponential function, it is found that f(7.5) = 45.5.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.For this problem, we have that f(3.5) = 12, then:
[tex]y = ab^x[/tex]
[tex]12 = ab^{3.5}[/tex]
[tex]a = \frac{12}{b^{3.5}}[/tex]
We also have that f(9) = 75, then:
[tex]y = ab^x[/tex]
[tex]75 = ab^9[/tex]
Since [tex]a = \frac{12}{b^{3.5}}[/tex]:
[tex]75 = \frac{12}{b^{3.5}} \times b^9[/tex]
[tex]b^{5.5} = \frac{75}{12}[/tex]
[tex]\sqrt[5.5]{b^{5.5}} = \sqrt[5.5]{\frac{75}{12}}[/tex]
[tex]b = \left(\frac{75}{12}\right)^{\frac{1}{5.5}[/tex]
b = 1.39542165
Then:
[tex]75 = ab^9[/tex]
[tex]a = \frac{75}{1.39542165^9}[/tex]
a = 3.7386
Hence:
[tex]y = 3.7386(1.39542165)^x[/tex]
When x = 7.5, we have that:
[tex]y = 3.7386(1.39542165)^{7.5} = 45.5[/tex]
Hence f(7.5) = 45.5.
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Can someone walk me through this please?
Answers
A set of 3 pens costs $1.68. At that unit price, how much would one pen cost?
Answers
Answer:
$.56
Step-by-step explanation:
To find the cost of one pen, take the total cost and divide by the number of pens
$1.68/ 3
$.56 per pen
The inside dimensions of a box are 12 inches long, 5 inches wide, and 2 inches deep.
How many cubic inches does it contain?
60
110
120
240
none of these
Answers
PLS HELPPPPP ASAPPP OR IMAAA FAIL HELPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answers
Answer:
Step-by-step explanation:
(a). A = 5x( 7x - 2 ) - 3x( 2x + 4 )
(b). A = 35x² - 10x - 6x² - 12x = 29x² - 22x
A = 29x² - 22x
Use the following regression equation regarding airline tickets to answer the question.
Price = 49 + 0.137 · (Distance)
Note that Distance is the amount of kilometres between the departure and arrival cities, and Price is the cost of an airline
ticket.
Interpret the slope of the regression equation in the context of the data.
Answers
The interpretation of the slope is the price of an airline ticker per kilometer is 0.137
How to interpret the slope?The regression equation is given as:
Price = 49 + 0.137 · (Distance)
A regression equation is represented as
y = b + mx
Where m represents the slope
By comparison, we have
m = 0.137
Slopes are used to represent average rates
This means that the interpretation of the slope is the price of an airline ticker per kilometer is 0.137
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what is the pattern 324,256,196,144
Answers
The pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.
What is a sequence?A sequence is a set of things next to each other in a set order. It is also referred to as a series.
According to this question, the following sequence is given: 324, 256, 196, 144. A careful observation of these numbers shows that each is the square of even numbers.
18² = 324
16² = 256
14² = 196
12² = 144
Therefore, the pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.
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What is the additive inverse of the number given below?
6
Answers
Answer:
-6 is the answer for instance 6=-6 or +(-6)