Answer:
[tex]P(3) = ^9C_3 * 0.5^3 *0.5^6[/tex]
Step-by-step explanation:
Given
[tex]n = 9[/tex] --- number of flips
Required
[tex]P(x = 3)[/tex]
The probability of getting a head is:
[tex]p = \frac{1}{2}[/tex]
[tex]p = 0.5[/tex]
The distribution follows binomial probability, and it is calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(3) = ^9C_3 * 0.5^3 * (1 - 0.5)^{9-3}[/tex]
[tex]P(3) = ^9C_3 * 0.5^3 *0.5^6[/tex]
Answer:
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?
Answer: A
Step-by-step explanation:
Solve the equation for the given variable
-2(-2x + 3) = -3x + 10
Round your answers to the nearest tenths place
Help meee
[tex] - 2( - 2x + 3) = - 3 x+ 10[/tex]
[tex]4x - 6 = - 3x + 10[/tex]
[tex]4x + 3x = 16[/tex]
[tex]7x = 16[/tex]
[tex]x = \frac{16}{7} [/tex]
[tex]x = 2.2857[/tex]
[tex]x = 3[/tex]
pls halllllllpppppppp
Answer:
85 degrees
Step-by-step explanation:
To find the range, take the high temperature and subtract the low temperature
40 - -45
40 + 45
85
The range is 85 degrees
Answer:
85
Step-by-step explanation:
The definition of range is the subtraction between the highest and lowest numbers.
In this problem, there are only two numbers so they will be subtracted.
40 - -45
40 + 45 = 85
The range is 85.
Hope this helped.
PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!!!!!
the answer is 1/12
the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12
A lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias?
a) Response Bias
b) Sampling Bias
c) Measurement Bias
d) Non-response Bias
Can I pleaseee have help with all 3 parts of this ? Thank you :D
Answer:
Part A:
the first step is to work out the brackets by multiplying the coefficients outside the brackets by everything in the brackets.
Part B:
5(3x-4)=-2(6x-9)
15x-20=-12x+18
Part C:
15x-20=-12x+18
15x+12x=18+20
27x/27=38/27
x=1.407
I hope this helps
A swimmer dove off a board that was 50 ft above the water. The swimmer reached a depth of 15 ft in the pool. What number represents the swimmer's original height, in feet?
9514 1404 393
Answer:
50
Step-by-step explanation:
The number you choose depends on the location you consider to be zero height.
If we consider the surface of the pool to be zero height, and "up" to be the positive direction for measuring height, then the appropriate number for the original 50-ft height is 50.
Two cards are selected with replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.
Answer: 50.2 is it
Step-by-step explanation: thats easy
Probability helps us to know the chances of an event occurring. The probability of selecting a heart and then selecting a diamond is 144/2652.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that Two cards are selected with replacement from a standard deck of 52 cards. Therefore, the probability of selecting a heart and then selecting a diamond is,
Probability = (12/52) × (12/51)
Probability = 144/2652
Hence, The probability of selecting a heart and then selecting a diamond is 144/2652.
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Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please.
the number of times n a ball bounces
Choose the correct answer below.
O rational numbers
O integers
o irrational numbers
O natural numbers
The number of times n a ball bounces is a natural number
How to determine the category of the statement?The mathematical statement is given as:
The number of times n a ball bounces
A ball cannot bounce in decimal times or negative times
Also, it can not bounce in 0 times
This means that the number of bounce is a positive integer
A positive integer is also a natural number
Hence, the number of times n a ball bounces is a natural number
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What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Use the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Plug in the points and simplify:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(-8 - 7)^2 + (0-8)^2}[/tex]
[tex]d = \sqrt{(-15)^2 + (-8)^2}[/tex]
[tex]d = \sqrt{225 + 64[/tex]
[tex]d = \sqrt{289[/tex]
[tex]d = 17[/tex]
So, the distance between the points is 17 units
Please helpppp meee !!!!
Answer:
y=-9x+193
Step-by-step explanation:
Its decreasing by 9, and 175+(9x2) is 193
Answer: 193
Explanation:
As you can see its decreasing by 9
y = mx + b
y = (9×2) + 175
y = 18 + 175
y = 193
Must click thanks and mark brainliest
A one lane highway runs through a tunnel in the shape of one half a sine curve cycle
The sine curve equation, y = 10·sin(x·π/24), that models the entrance of the
tunnel with a cross section that is the shape of half of a sine curve and the
height of the tunnel at the edge of the road, (approximately 7.07 ft.) are
found by applying the following steps
(a) The equation for the sine curve is y = 10·sin(x·π/24)
(b) The height of the tunnel at the edge of the road is approximately 7.07 feet
The reason for the above answers are presented as follows;
(a) From a similar question posted online, the missing part of the question
is, what is the height of the tunnel at the edge of the road
The known parameters;
The shape of the tunnel = One-half sine curve cycle
The height of the road at its highest point = 10 ft.
The opening of the tunnel at road level = 24 ft.
The unknown parameter;
The equation of the sine curve that fits the opening
Method;
Model the sine curve equation of the tunnel using the general equation of a sine curve;
The general equation of a sine curve is y = A·sin(B·(x - C) + D
Where;
y = The height at point x
A = The amplitude = The distance from the centerline of the sine wave to the top of a crest
Therefore;
The amplitude, A = The height of half the sine wave = The height of the tunnel = 10 ft.
D = 0, C = 0 (The origin, (0, 0) is on the left end, which is the central line)
The period is the distance between successive points where the curve passes through the center line while rising to a crest
Therefore
The period, T = 2·π/B = 2 × Opening at the road level = 2 × 24 ft. = 48 ft.
T = 48 ft.
We get;
48 = 2·π/B
B = 2·π/48 = π/24
By plugging in the values for A, B, C, and D, we get;
y = 10·sin((π/24)·(x - 0) + 0 = 10·sin(x·π/24)
The equation of the sine curve that fits the opening is y = 10·sin(x·π/24)
(b) The height of the tunnel at the edge of the road is given by substituting
the value of x at the edge of the road into the equation for the sine curve
as follows;
The width of the shoulders = 6 feet
∴ At the edge of the road, x = 0 + 6ft = 6 ft., and 6 ft. + 12 ft. = 18 ft.
Therefore, we get;
y = 10 × sin(6·π/24) = 10 × sin(π/4) = 5×√2
y = 10 × sin(18·π/24) = 10 × sin(3·π/4) = 5×√2
The height of the, y, tunnel at the edge of the road where, x = 6, and 18 is y = 5·√2 feet ≈ 7.07 ft.
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solve for y then find the slope and y intercept and graph
y=4x+3
y=
b=
m=
Answer:
y = 4x+3
m =4
b =3
Step-by-step explanation:
y=4x+3
This is already solved for y
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+3
m =4
b =3
Which expression is equivalent to sq root of 2x^5/18? Assume x is greater than 0
Answer:
√(2x^5 / 18) = √2x^5 / √18 = √2x^5 / √9*2 = √2x^5 / 3√2 = √x^5 / 3
The square root of x^5 over the number 3 is an equivalent of the initial expression.
what is the circumference of a circle with 60 in. as the radius
Answer:
60π
Step-by-step explanation:
circumference of a circle = 2πr, where r = radius
given r = 60 in
2πr = 2×π×60
= 60π
= 188.5 (rounded to the nearest tenth)
Five more than twice a number is three. Write that in equation
Step-by-step explanation:
Hi there!
According to the question;
Five more than twice a number is three.
Then let the number be "x".
Since X is the number according to the condition of question;
The number is twice : 2x
It's then more 5 : 2x+5
And the result is : 3,
Combining all; we get,
2x+5 = 3
Therefore, the required equation is 2x+5 = 3.
Hope it helps!
Solve for x using the
distributive property.
6(2 - 6x) = -24
X ?
⇛6(2 - 6x) = -24
⇛12 - 36x = -24
⇛-36x = -24 - 12
⇛-36x = -36
⇛x = -36/-36
⇛x = 1
50% of 80
50% of 48
50% of 15
25% of 120
25% of 90
what is the answer to EVAULATE 8+-9+-6
Answer:
11
Step-by-step explanation:
8 + 9 + -6
8 + 9 = 17
17 + (-6) = 11
Answered by Gauthmath
What is the solution to the system of equations below?
2x+3y=6
x-3y=9
Answer:
Step-by-step explanation:
2x + 3y = 6
2x = 6-3y
x = (6-3y)/2
x - 3y = 9
(6-3y)/2 -3y = 9
(6-3y)/2 -6y/2 = 9
(6-9y)/2 = 9
6 - 9y = 9×2
-9y = 18-6
y = 12/-9
y = -4/3
2x + 3y = 6
2x + 3(-4/3) = 6
2x -4 = 6
2x = 6+4
2x = 10
x = 10/2
x = 5
Therefore x = 5 and y = (-4/3)
I used subsitution method
please click thanks and mark brainliest if you like :)
Answer:
x = 5; y = -4/3
Step-by-step explanation:
One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.
2x + 3y = 6
(+) x - 3y = 9
---------------------
3x = 15
x = 5
2x + 3y = 6
2(5) + 3y = 6
3y + 10 = 6
3y = -4
y = -4/3
Answer: x = 5; y = -4/3
[2 ÷ (4 - 2) + 8^2] - [2 - (-1) ] ^2
A. 62
B.60
C.56
Answer:
56
Step-by-step explanation:
[2 ÷ (4 - 2) + 8^2] - [2 - (-1) ] ^2
Brackets first
Then parentheses in the brackets
[2 ÷ 2 + 8^2] - [2 - (-1) ] ^2
Exponents in the brackets
[2 ÷ 2 + 64] - [2 - (-1) ] ^2
Divide
[1+64] - [2 - (-1) ] ^2
Add and subtract in the brackets
[65] - [3 ] ^2
Exponents
[65] - [9 ]
Subtract
56
A collection of 30 coins consists of dimes and nickels. The total value is $1. 95How many dimes are there?
Heather has $20 in her purse she earn some money at work and add it to the money in her purse at the end of the day she has $95 in her purse use M as a variable
Answer:
M=$75
Step-by-step explanation:
I used M for money that Heather earned.
$20+M=$95
Find the missing side. Round your answer to the nearest tenth
Answer:
14.7
Step-by-step explanation:
tan(73)=48/x
or, x=48/tan(73)
or, x=14.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
Solve for a.
5a + 2 - 7-8 = 0
What is the root? If there is no root, choose none.
Answer:5
Step-by-step explanation: root5a+2 +7a-8 = 0
squaring both side
5a+2=7a-8
8+2=7a-5a
10=2a
a=5
Answer:
[tex]\sqrt{5a+2}-\sqrt{7a-8}=0[/tex]
Isolate a square root on the left-hand side
[tex]\sqrt{5a+2} =\sqrt{7a-}8+0[/tex]
Eliminate the radical :-
[tex]5a+2 = 7a-8[/tex]
Solve:-
[tex]2a -10 = 0[/tex]
Add 10 to both sides, then Divide both sides by 2:-
[tex]a = 5[/tex]
OAmalOHopeO
Can someone please help
Me
Answer:
$3735
Step-by-step explanation:
2/5 = 8/20
8/20 + 7/20 = 15/20 = 3/4
3/4*4980 = 3735
6.(a) A laptop was bought at Canadian $ 770. If the tax of 20% and 13% VAT should be paid, find the least selling price of it in Nepali rupee that prevents the shopkeeper from loss?
The LEAST selling price of the laptop should be ;
$1024.1 in other to avoid loss.
Price of laptop = $770
Tax = 20%
VAT = 13%
TO avoid loss ;
both the VAT percentage and TAX must be added to the price of the laptop:
Total percentage = VAT + TAX = (20 + 13) = 33%
THEREFORE, Least selling price should be :
Price of laptop * (1 + 33%)
770 * 1.33
= $1024.1
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Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.
988 ft2
996 ft2
980 ft2
1000 ft2
Answer: 996 ft2
Step-by-step explanation:
Add up the area of all 6 sides of the prism:
(10 · 13) + (10 · 13) + (10 · 16) + (10 · 16) + (16 · 13) + (16 · 13)
= 130 + 130 + 160 + 160 + 208 + 208
=996 ft²
Answer:
B) 996 ft2
Step-by-step explanation:
Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?
Answer:
11.2
Step-by-step explanation:
yz = 11.2
since the corresponding arc of yz and xy are same, their measures will ba same too
Answered by GAUTHMATH
Answer:
11.2
Step-by-step explanation:
good luck!
Write a 6-digit number that fits the description.
1. The value of its thousands digit is 5,000.
2. The value of its hundreds digit is 700.
3. Its tens digit is 2 less than the thousands digit.
4. Its hundred thousands digit is the same as the hundreds digit.
The number is?
Answer:
175731 is one of the answers of the 6 digit number
some others are:
275732
375733
475734
575735
675735
775734
875732
The 6-digit number is 175731.
What is the place value strategy?The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.
Let the number would be ABCDEF
Given the condition that the value of its thousands of digits is 5,000.
So C = 5
Given the condition that the value of its hundreds of digits is 700.
So D = 7
Given the condition that Its tens digit is 2 less than the thousand digits.
So E = 5-2 = 3
Given the condition that Its hundred thousand digits is the same as the hundred digits.
So B = 7
Therefore, all possible answers:
275732
375733
475734
575735
675735
775734
875732
Hence, the 6-digit number is 175731
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