Vowels = {a, e, i, o, u}
There are 5 vowels out of 26 letters in the English alphabet. This leaves 26-5 = 21 consonants.
The theoretical probability of getting a consonant is 21/26 = 0.8077 = 80.77% approximately
Wayne found the empirical probability of a consonant as 60% which is quite a distance away from the 80.77% mentioned. The discrepancy is likely because vowels are tended to be used quite often in many words.
Words that are composed of consonants only are quite rare, but they do happen. Example: "fly" is a word with only consonants. I'm considering y to be a consonant.
please help with all of question 4.
Answer:
Step-by-step explanation:
Combine like terms: Like terms have same variable with same power and to combine the like terms, add/subtract the co efficient of the variables.
Perimeter:Perimeter = sum of all sides
a) Perimeter of ΔABC = AB + BC + CA
= x + 14 + x + 14 + x + 14
= x + x + x + 14 + 14 + 14 {Combine like terms}
= 3x + 42
b) EF = DI - GH
= 2x + 3 - x
= 2x - x + 3
= x + 3
c) FG = HI - ED
= 12 + 2x - (x + 5)
= 12 + 2x - x - 5 {To open the brackets, (-1) is distributed to x and 5}
= 12 - 5 + 2x - x
= 7 + x
d) Perimeter of DEFGHI = DE + EF + FG + GH + HI + ID
= x + 5 + x + 3 + 7 +x + x + 12 +2x + 2x + 3
= x +x + x + x + 2x + 2x + 5 + 3 + 7 + 3 + 12
= 8x + 30
The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*
Answer:
50-20 or perimeter-2length
Step-by-step explanation:
15 inches is the width
The one-to-one functions g and h are defined as follows.
g = {(-4, 0), (-1, 1), (0, -5), (3,-1)}
h(x) = 2x-13
Which pairs of events describe independent events? Select all that apply.
O Rolling a six-sided die and having it land on a 4, and then choosing a blue marble from a jar of marbles.
O Rolling a six-sided die and having it land on a 3,
and then rolling a six-sided die and having it land on a 2.
O Choosing a blue marble from a jar of marbles, not replacing it, and then drawing a red marble.
O Entering a raffle 3 times and winning one prize, and then winning another prize in the same raffle.
O Drawing a 3 from a deck of cards, not replacing it, and then drawing a 4 from the same deck of cards.
When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. The correct options are A and B.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Comparing it with chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
Thus, showing that whether one occurred or not, the other one doesn't care about it (independence).
Two events are known to be independent even if the result of one event does not affect the result of the second event.
Rolling a dice in an independent event and choosing a blue marble is another independent event. The two events are independent and the result of one does not affect the other.
Thus, A is correct.
Rolling a dice in an independent event, and rolling it again won't affect the result of the second roll. Therefore, rolling a dice twice or for n number of times is an independent event.
Thus, B is correct.
Hence, the correct options are A and B.
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math quarterly
8th grade
Answer:
the answer is 49
Step-by-step explanation:
the ratio of the measures of the three angles in a triangle is 9:3:6.
find the measures of the largest angle.
Step-by-step explanation:
this is how you solve it :)
How many solutions does the system of equations have?
y=-2x+3
y = x² - 6x +3
Answer:
2 solutions
Step-by-step explanation:
y = - 2x + 3 → (1)
y = x² - 6x + 3 → (2)
substitute y = x² - 6x + 3 into (1)
x² - 6x + 3 = - 2x + 3 ( subtract - 2x + 3 from both sides )
x² - 4x = 0 ← factor out x from each term on the left side
x(x - 4) = 0
equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
substitute these values into (1)
x = 0 : y = - 2(0) + 3 = 0 + 3 = 3 ⇒ (0, 3 )
x = 4 : y = - 2(4) + 3 = - 8 + 3 = - 5 ⇒ (4, - 5 )
the 2 solutions are (0, 3 ) and (4, - 5 )
Guys help me with a) and b) tasks
ANSWER:
a) 40
b) 25
Thanks<3
Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
Janine sketched a quick graph. "Looks like the solution is (-30, -91)." Is she right? How do you know? Be
clear and complete.
Answer:
- -=+ we should just add it to make the
Find the values of x and y in the parallelogram.
which of the following number lines shows the correct sum of the number above and 4?
Answer:
c.
Step-by-step explanation:
because on you have to add 4 to the number above. so 3+4 equals 7 so you move 4 spaces to the right on the number line to get you 7. so C is the correct answer
Using the net below, find the surface area
of the triangular prism.
3cm
6 cm
9 cm
5 cm
9 cm
4 cm
Surface area= [?] cm²
The surface area of the triangular prism is 153 cm².
What is a triangular prism?Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.
Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.
The area of the triangular prism is the sum of the area of the rectangle and the area of the triangle, therefore, the area of the prism will be,
Area = A + B + C
=(9 × 15) + (0.5×6×3) + (0.5×6×3)
= 135 + 9 + 9
= 153 cm²
Hence, the surface area of the triangular prism is 153 cm².
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Answer:
9*5 + 6*9 + 9*4 + 1/2*6*3 + 1/2*6*3
=1872+1/2*6*3+1/2*6*3
=1872+18
=1890cm²
Surface area= 1890cm²
A certain population of bacteria has an initial population of 225. the bacteria triples every hour. determine the multiplier that would allow you to predict the population of bacteria after 2 hours.
Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.
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 growth rate.In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:
[tex]y = a(3)^x[/tex]
Hence, after 2 hours:
[tex]y = a(3)^2 = 9a[/tex]
Which means that the multiplier is of 9.
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Students working at a refreshment stand mixed cranberry juice at $0.50 per liter and apple juice at $0.35 per liter to make 120 L of a fruit drink worth $0.40 per liter. How many liters of each did they mix?
Answer:
40 L cranberry juice; 80 L apple juice
Step-by-step explanation:
Let x = number of liters of cranberry juice.
The total volume is 120 L, so the volume of apple juice is
120 - x.
The value of the cranberry juice is 0.5x.
The value of the apple juice is 0.35(120 - x).
The value of the mixture is 0.4(120) = 48
The value of the cranberry juice plus the value of the apple juice equals the value of the mixture.
0.5x + 0.35(120 - x) = 48
0.5x + 42 - 0.35x = 48
0.15x = 6
x = 6/0.15
x = 40
120 - x = 120 - 40 = 80
Answer: 40 L cranberry juice; 80 L apple juice
quadratic equation y= (x+4)^2 -2
I need to know if it’s Max or min
Domain
Range
Increasing interval
Decreasing interval
Whoever the first correct answer belongs to gets a crown :) tysmmm
Answer:
Max or Min: min
Domain: (−∞, ∞)
Range: (−2, ∞)
Increasing interval: (−4, ∞)
Decreasing interval: (−∞, -4)
Step-by-step explanation:
Max or Min: You determined that the curve opens upwards meaning that the vertex is at the min. If it opened down then it would be at the max.
In mathematical terms: if a > 0, the parabola opens upward and the vertex is a minimum. If a < 0, the parabola opens downward, and the vertex is a maximum.
Domain: This is all possible x values, since the parabola is upwards its going to have any possible x values
Range: this is all possible y values. we know that the vertex point (min) doesn't go less than the value of -2 for y but anything above is possible hence -2 is the lowest possible y value and anything beyond above
Increasing interval: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I.
Decreasing interval: The derivative, then set it equal to 0, and then find between which zero values the function is negative.
visual representation attached as well
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you got this !!
Need help with math asap
[tex]~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan \theta = \dfrac{LN}{LM}\\\\\\\implies \theta = \tan^{-1} \left( \dfrac{LN}{LM} \right)\\\\\\\implies \theta = \tan^{-1} \left(\dfrac{12.81}{7.72} \right)\\\\\\\implies \theta =58.92^{\circ}[/tex]
Select the correct answer.
A charity's outreach program is working to provide food and medicine to the people affected by a hurricane. The members drive in a truck from their headquarters at A, as shown in the image, to the locations B, C, D, E, F, G, and H and then go back to their office. What is the total length of their drive?
A.
20 units
B.
30 units
C.
40 units
D.
50 units
1.) Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?
O (-4, 11 1/3)
O (3, -2 1/3)
O (6, -2)
O (12, -14)
2.) Line segment AB has endpoints B (-3, 0) and A(5, 4). What are the coordinates of the point located 1/4 of the way from B to A?
O (1, -1)
O (1, 2)
O (3, 3)
O (-1, 1)
3.) Line segment AB has endpoints A(1, 8) and B(7, -4). What are the coordinates of the point located 1/6 of the way from A to B?
O (0, 8 2/3
O (2, 6)
O (8 2/3, -3 1/3)
O (6, -3 1/3)
^Please help, ASAP. These were due yesterday, however I am trying to get this done.
BRAINLIEST AND 5 STARS TO CORRECT RESPONSES ONLY! LOTS OF PTS AVAILABLE TO THOSE WHO PARTICIPATE HOWEVER.
The coordinates of the 3 respective points from the given parameters are; (6, -2); (-1, 1); (2, 6)
How to find the length of Line Segment?1) The coordinates of the point located 5/6 of the way from A to B is;
x = ⁵/₆(7 - 1) + 1
x = 6
y = ⁵/₆(-4 - 8) + 8
y = -2
x, y = (6, -2)
2) The coordinates of the point located ¹/₄ of the way from A to B is;
x = -3 + ¹/₄(5 - (-3))
x = -1
y = 0 + ¹/₄(4 - 0)
y = 1
x, y = (-1, 1)
3) The coordinates of the point located ¹/₆ of the way from A to B is;
x = ¹/₆(7 - 1) + 1
x = 2
y = ¹/₆(-4 - 8) + 8
y = 6
x, y = (2, 6)
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Which answer shows 0.00897 written in scientific notation?
0.897 times 10 Superscript negative 2
8.97 times 10 Superscript negative 3
8.97 times 10 Superscript negative 2
8.97 times 10 Superscript 3
Answer:
8.97 × 10-3
Step-by-step explanation:
you move the decimal so its a number between 1 and less than 10 so we moved the decimal three spaces.
Answer:
its B
Step-by-step explanation:
What is the solution for x in the equation?
x-3/7=2x-25/7
Step-by-step explanation:
please mark me as brainlest
Answer: x = 4/3
Step-by-step explanation: I just answered the answer
what is the value of u ?
Step-by-step explanation:
you do know that the sum of all angles in a triangle is always 180° ?
so,
3u + 6u - 18 + u + 18 = 180
10u = 180
u = 18
Identify the errors made in finding the inverse of
y = x2 + 12x.
An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = StartRoot negative 11 x EndRoot, for x greater-than-or-equal 0.
Describe the three errors.
The errors made by the student are:
The variables y and x are not properly swappedThe square root should include the ± signThe domain of the function is incorrectHow to identify the errors?The equation is given as:
[tex]y = x^2 + 12x[/tex]
The first step of the student is given as:
[tex]x = y^2 + 12x[/tex]
This is incorrect because the variables x and y must be completely swapped.
So, the actual step is [tex]x = y^2 + 12y[/tex]
The second step is given as:
[tex]y^2 = x - 12x[/tex]
The third step is given as:
[tex]y^2 = - 11x[/tex]
The last step is given as:
[tex]y = \sqrt{-11x}[/tex] for [tex]x \ge 0[/tex]
This is incorrect because [tex]y = \sqrt{-11x}[/tex] would have complex solution for [tex]x \ge 0[/tex] and the square root needs to have a ±
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someone help me please
The height of the aquarium is h = 18 3/4 yd
Volume of a rectangular boxThe formula for calculating the volume of a rectangular box is expressed as
V = lwh
where
l is the length
w is the width
h is the height
Substitute
350 = 20/3 * 14/5 * h
350 = 280/15h
35 = 28/15h
28h = 35 * 15
28h = 525
h = 525/28
h = 18 3/4 yd
Hence the height of the aquarium is h = 18 3/4 yd
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The measures of the angles of △ABC are given by the expressions in the table.
Angle Measure
A 48°
B (6x−28)°
C (2x)°
Find the value of x. Then find the measures of angles B and C.
Enter your answers in the boxes.
x =
m∠B=
º
m∠C=
º
Answer:
x = 20 ∠B = 92° ∠C = 40°
Step-by-step explanation:
The sum of angles of a triangle is 180°.
48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20
∠B = (6x -28)° = (6*20 -28)° = 92°
∠C = 2x° = 40°
Answer
X= 20
m<B = 92°
m <C = 40°
Step-by-step explanation:
The sum of angles in a triangle = 180°
So, 48 + 6x-28 +2x = 180
8x+20= 180
8x = 160
So x= 160/8 = 20
Substitute x in the equations:
m<B= 6×20-28= 92°
m<C = 2×20 = 40°
HELP PLEASE HURRY!!
g(x)
3
f(x) = 4x + 5
-32
#12
Which function has the greatest y-intercept?
3/
h(x)=3 sin(2x + 1)-2
Find CD.
A) 5
B) 28
C) 56
D) 96
Answer:
C) 56
Step-by-step explanation:
. What is the length of BC¯¯?
2. What is the length of AC¯¯?
3. What is the length of AD
liz wants to determine which sport students like to play the most at her school.which method will most likely produce a random example.
Answer:
Random sampling
Step-by-step explanation:
Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.
Factor 27a^{3}b^{9} + 8c^{18}.Which of the following is one of the factors
Answer:
Second option is the correct answer
[tex]\bigodot (9a^2b^6-6ab^3c^6+4c^{12})[/tex]
Step-by-step explanation:
[tex]27a^{3}b^{9} + 8c^{18}[/tex][tex]=(3ab^{3} )^3+ (2c^{6})^3[/tex][tex]=(3ab^{3} +2c^{6})[(3ab^3)^2-(3ab^3)(2c^6)+(2c^6)^2][/tex][tex]=(3ab^{3} +2c^{6})\orange{\bold{(9a^2b^6-6ab^3c^6+4c^{12})}}[/tex]Is the function f(x) = 1 /x− 1 continuous at x = 1? Explain.
Faarax Mohammed shirwa search
Answer:
no
Step-by-step explanation:
f(x) = [tex]\frac{1}{x-1}[/tex]
at x = 1
f(1) = [tex]\frac{1}{1-1}[/tex] = [tex]\frac{1}{0}[/tex]
division by zero is undefined, thus there is a discontinuity at x = 1
so f(x) is not continuous at x = 1
y is inversely proportional to x when x =3, y = 8 work out the value of y when x = 8
y is inversely proportional to x: yx = k, such k is constant
Did you know?
Inversely proportional is also known as inverse variation.Given:
x = 3y = 8To determine the constant of variation, substitute the first two given values to the equation of variation.
yx = k(8)(3) = k24 = kTo determine the value of y, substitute the second given value of x including the constant of variation.
x = 8, y = ?yx = 248y = 24y = 24/8y = 3Answer:
The value of y is 3.Wxndy~~