Answer:
P(black|coin fell tails) = ¼
Step-by-step explanation:
Since a coin has a head and a tail, then probability of landing tail is;
P(tail) = ½
Now, if it falls tails, a marble is drawn from Box 2, which contains two white and two black marbles.
Thus, probability of getting a black marble is; 2/4 = ½
Thus;
P(black|coin fell tails) = ½ × ½ = ¼
Rewrite the expression in the form z^n.
z^3/4 x z^2
Step-by-step explanation:
here's the answer to your question
We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus, 3, ), plus, 49 We can factor the expression as (U V)^2(U V) 2 (, U, plus, V, ), squared where UUU and VVV are either constant integers or single-variable expressions. 1) What are UUU and VVV
Answer:
[tex]U = x[/tex]
[tex]V=10[/tex]
Step-by-step explanation:
Given
[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]
Required
Find U and V
We have:
[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]
Expand
[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]
Collect like terms
[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]
[tex]x^2 + 20x + 100 = (U + V)^2[/tex]
Expand
[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]
Group
[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]
Factorize each group
[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]
Factor out x + 10
[tex][x + 10][x + 10] = (U + V)^2[/tex]
So, we have:
[tex][x + 10]^2 = (U + V)^2[/tex]
By comparison
[tex]U = x[/tex]
[tex]V=10[/tex]
SOMEONE HELP ME PLEASE
Determine the probability (as a decimal rounded to the nearest hundredth) of a normal random variable with a mean of three and a standard deviation of four realizing a value that is strictly greater than 1.9
Answer:
Step-by-step explanation:
On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.
The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.
(a-√a/√a-1) - (√a+1/a+√a) : √a+1/a. solve a
Answer:
Step-by-step explanation:
[tex]\displaystyle \ \Large \boldsymbol{} \frac{a-\sqrt{a} }{\sqrt{a}-1 } -\frac{\sqrt{a}+1 }{a+\sqrt{a} } :\frac{\sqrt{a}+1 }{a} = \\\\\\\frac{\sqrt{a}(\sqrt{a} -1 ) }{(\sqrt{a}-1) } -\frac{\sqrt{a}+1 }{\sqrt{a}(\sqrt{a}+1 )}\cdot \frac{\sqrt{a}\cdot \sqrt{a} }{\sqrt{a}+1 } = \\\\\\\sqrt{a} -\frac{\sqrt{a} }{1+\sqrt{a} } =\frac{a+\sqrt{a}-\sqrt{a} }{1+\sqrt{a} } = \\\\\\\frac{a}{\sqrt{a}+1 } \cdot \frac{\sqrt{a}-1 }{\sqrt{a}-1} } =\boxed{\frac{a\sqrt{a} -a}{a-1} }[/tex]
can i get some help please
The sum of the interior angles in a triangle is 180 degrees.
72 + 35 + <1 = 180
107 + <1 = 180
<1 = 73 degrees
Hope this helps!
Answer:
<1 = 73
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
72+ 35+ <1 = 180
Combine like terms
107 + <1 =180
Subtract 107 from each side
<1 = 180-107
<1 = 73
Please help! Math question!
Answer:
n=4
Step-by-step explanation:
3n - (2+n) = 6
Distribute the minus sign
3n -2-n = 6
Combine like terms
2n-2 =6
Add 2 to each side
2n-2+2 = 6+2
2n = 8
Divide by 2
2n/2 = 8/2
n=4
SOMEONE HELP PLSSS
3. Which ratio would NOT be involved in the altitude or leg rule?
Answer:
AB/AD = AD/AC
Step-by-step explanation:
From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:
AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)
AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)
BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)
Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)
Answer:
AB/AD = AD/AC
Step-by-step explanation:
Had it on my quiz
You start at (1, 6). You move up 1 unit and right 7 units. Where do you end?
Answer:
(8,7)
Step-by-step explanation:
Because our x-value for this ordered pair is 1, and it says to move to the right 7 units, 1+7 = 8. Therefore, our x-value for the ordered pair would be 8.
Because our y-value for this ordered pair is 6, and it says to move up 1 unit, 6+1=7. Therefore, our y-value for the ordered pair would be 7.
Once we have our x- and y-value, we can set up the ordered pair:
(8,7)
Answer:
(7, 8)
Step-by-step explanation:
In the picture below, when the point is moved up, it only changes the y part of the point, and the x part is kept the same. When the point is moved right by 7 units, the x part is changed while the y part is kept the same.
Hope this helps.
Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y
Answer: Choice D. [tex]\angle A \cong \angle E[/tex]
Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.
Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.
From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.
Here, in figure,
∠A ≅ ∠E (Alternate interior angles)
∠B ≅ ∠D (Alternate interior angles)
∠ACB ≅ ∠DCE (Vertically opposite angles are congruent)
Therefore, option D is the correct answer.
To learn more about the similar triangles visit:
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Determine the value of x in the diagram
why does an absolute value equation equal to zero only has 1 equation
Answer:
see below
Step-by-step explanation:
The reason why an absolute value equation equal to zero only has one solution
We set the absolute value equation equal to ± the solution
±0 = 0 There is only one value for ±0 which is 0, therefore there is only one solution
Help me with this please (khan academy)
Answer:
5*2 +2*2 = s*2
s = 5.38
s = 5.4
Multiply the polynomials.
[tex]\\ \sf\longmapsto( 7x {}^{2} + 9x + 7)(9x - 4) \\ \\ \sf\longmapsto {7x}^{2} (9x - 4) + 9x(9x - 4) + 7(9x - 4) \\ \\ \sf\longmapsto 63x {}^{3} - 28 {x}^{2} + {81x}^{2} - 36x + 63x - 28 \\ \\ \sf\longmapsto {63x}^{3} + 53 {x}^{2} + 27x - 28[/tex]
Option d is correct
hipe it helps you...............
hipe it helps you...............
Two trains leave towns 1542 kilometers apart at the same time and travel toward each other. one train travels 11 km/h slower than the other. if they meet in 6 hours, what is the rate of each train?
Rate of the slower train:
Rate of the faster train:
Answer:
Slower trains: 123 km/h
Faster train: 134 km/h
Step-by-step explanation:
In order to solve this problem, one must know the following formula:
[tex]speed*time=distance[/tex]
The problem gives one the following information:
There are two trains heading towards each other, one is (11 km/h) faster than the other.There are (1542 km) between the two trains.It takes 6 hours for the two trains to meet each other.Let ([tex]speed_1[/tex]) represent the speed of the slower train and ([tex]speed_2[/tex]) represent the speed of the faster train.
One can form an equation, let (x) represent the speed of the slower train. Using the distance equation, one can state that the speed of each train times the travel time equals the distance. Since the trains met each other in (6) hours, and the combined distance traveled between the two trains is (1542 km); one can use this information to form an equation.
[tex](travel\ time)(speed_1)+(travel\ time)(speed_2)=distance[/tex]
Substitute,
[tex]6(x)+6(x+11)=1542[/tex]
Simplify, distribute, multiply every term inside of the parenthesis by the term outside of it. Then combine like terms,
[tex]6x+6x+66=1542[/tex]
[tex]12x+66=1542[/tex]
Inverse operations,
[tex]12x+66=1542[/tex]
[tex]12x=1476[/tex]
[tex]x=123[/tex]
Solve for the speed of the faster train. It is given that it is (11 km/h) faster than the slower train.
[tex]speed_1+11=speed_2\\123+11=speed_2\\134=speed_2[/tex]
I need the answer ASAP
1. Add Area (Split the shape up to two or more known
shapes first)
12.5 ft
11.6 ft
19.2 ft
16.7 ft
Answer:
Step-by-step explanation:
The shape cam be split into a triangle and a trapezoid
✔️Area of the trapezoid = ½(a + b)h
Where,
a = 12.5 ft
b = 16.7 ft
h = 11.6 ft
Plug in the values
Area of the trapezoid = ½(12.5 + 16.7)*11.6
Area of trapezoid = 169.36 ft²
✔️Area of the triangle = ½*b*h
b = 16.7 ft
h = 19.2 - 11.6 = 7.6 ft
Area of the triangle = ½*16.7*7.6
= 63.46 ft²
✔️Area of the shape = 169.36 + 63.46
= 232.82 ft²
Scott’s age and his mother’s age is 45. In 5 years’ time, three times Scott’s age less9 will be the same as his mother’s age. Find the present ages of Scott and his mother.
Answer:
Mother is presently 34
Scott is 11
Step-by-step explanation:
Let the mother's age = x
Let the son's age = y
First Equation
x + y = 45
Second equation
3*(x + 5) - 9 = y+5 Add 9 to both sides
3(x + 5) = y + 5 + 9
3(x + 5) = y + 14 Remove the brackets
3x + 15 = y + 14 Subtract 14 from both sides
3x + 15 - 14 = y
3x + 1 = y
Put the first equation into the second equation
x + y = 45 Subtract y from both sides
y = 45 - x
Put this value for y into the second equation's results.
3x + 1 = 45 - x Add x to both sides
3x + x + 1 = 45
4x + 1 = 45 Subtract 1 from both sides
4x = 45 - 1
4x = 44 Divide by 4
x = 44/4
x = 11
x + y = 45
11 + y = 45
y = 34
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Answer:
57m^2
Step-by-step explanation:
First we need to find the area of both shaded and not shaded regions. Since we are solving area for 2-D images we will use the equation Area=length(with)
Shaded Region: 11(9)=99
Unshaded Region: 8(6)=42
Now we subtract the shaded region with the unshaded region to get an area of 57 Meters. Therefore the area of the shaded region is 57m^2
Answer: 57m^2 is the answer
Giải phương trình lượng giác cơ bản sinx=cos2x
Answer:
Step-by-step explanation:
helpppppppp will mark brainlest
Answer:
-8
Step-by-step explanation:
what do you think, when you look at the examples given in the problem definition ?
don't you see the pattern, that f(x) = x+2 ?
f(1) = 1+2 = 3
f(2) = 2+2 = 4
f(3) = 3+2 = 5
so, if we follow this assumption, then
f(-10) = -10 + 2 = -8
Is it possible to build a triangle with side lengths of 3, 3, and 9?
Answer:
N0
Step-by-step explanation:
The sides of a triangle must be
a-b< c< a+b where a and b are the two smaller sides and c is the larger side
3-3 <9< 3+3
0<9<6
This is not true so it cannot make a triangle
answer:
no
step-by-step explanation:
each side must be smaller than the sum of other sides
so
9+3>3-right
3+3<9-wrong
An Olympic diver starts at 7.5 m above the water. During her dive, she goes
1.5
m below the water. What is the vertical distance the diver travels?
Given that an Olympic diver starts at 7.5 m above the water, during her dive, she goes 1.5 m below the water, the vertical distance the diver travels is 9 meters.
To determine what is the vertical distance the diver travels the following calculation must be performed:
The initial height must be subtracted from the final height, in order to obtain the difference between the two heights.
1.5 - (-7.5) = X1.5 + 7.5 = X9 = XTherefore, the vertical distance the diver travels is 9 meters.
Learn more about this topic in https://brainly.com/question/22089868?referrer=searchResults.
The vertical distance traveled by the Olympic diver is 6 m
The given parameters include:
initial position of the Olympic diver, x₁ = 7.5 m above the waterfinal position of the Olympic diver, x₂ = 1.5 m below the waterThe sketch of the Olympic diver's displacement is as follows;
x₁ ---------- 7.5 m
|
|
|
|
----------- water surface
|
↓
x₂ ------------ 1.5 m below water surface
The vertical distance from x₁ to x₂ = 7.5 m - 1.5 m = 6 m
Therefore, the vertical distance traveled by the Olympic diver is 6 m
To learn more about distance visit: https://brainly.in/question/7482539
Which number lines have points that represent additive inverses? Check all
that apply
-54-3 -2 -1 0
1
2
3
4 5
-513 2-1
0
1
2.
3
4 5
5 4 3 2 1
1
2
3 4
-54-3-2-1
0
1
2
3 4 5
Answer:
2nd and fourth one
Step-by-step explanation:
I just did it and if you look at both of them and if you look closely they each have a negative and a positive
What is the scale factor of this dilation?
A 1/5
B 1/2
C 1
D 2
Find the sun of the interior angles for each polygon
Answer:
360
1080
Step-by-step explanation:
We can find the sum of the interior angles of any regular polygon by using this formula
(n - 2) * 180
where n = number of sides
For the square: the square has 4 sides
To find the sum of the interior angles we simply substitute 4 for n in the formula
Formula: (n - 2) * 180
Substitute 4 for n
(4 - 2 ) * 180
Subtract 4-2
2 * 180
Multiply
= 360
The sum of the interior angles of the first polygon is 360
For the second one:
We will repeat this exact process the only difference is the value of "n"
The polygon shown has 8 sides
So to find the sum of the interior angles we simply substitute 8 for n in The formula
Formula (n - 2) * 180
Substitute 8 for n
(8 - 2) * 180
Subtract 8 - 2
6 * 180
Multiply
= 1080
The interior angles of a 8 sided figure will add up to 1080
find the value of the trigonometric ratio.
Answer:
12/13
Step-by-step explanation:
sinX = opposite/hypotenuse = 12/13
What is the value of l n e Superscript 4
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
can i please get some help on this one ASAP!
Answer:
This is a 4th degree polynomial!
Step-by-step explanation:
Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.
Hope this helps, good luck! :)
Out of a sample of 327 Americans, 245 said they had no interest in professional soccer.
(Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the
proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.
Suppose that another sample of 784 Americans was taken and asked the same question.
How would the width of the new confidence interval compare to the width of the
confidence interval based on the 327 women in the armed forces?
The width of the confidence interval based on the 784 women would be narrower than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be wider than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be the same as the
confidence interval based on the 327 women.
O No answer text provided.
Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
THE LOGO SHOWN BELOW HAS A TOTAL AREA OF 125cm² AND THE SQUARE HAS SIDE LENGTH 5cm.CALCULATR THE WIDTH OF THE LOGO.
Answer:
Please show an image
