The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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Which of the following is incorrect?
I need help please! It’s due tonight.
Answer:
D
Step-by-step explanation:
Can i get brainiest Sorry if im wrong <3
the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?
Answer:
c = 2.
Step-by-step explanation:
When the first part of the function has the value 0, f(x) will also be 0 if the c wasn't there.
So the value of c is 2.
From the given graph n is a positive odd number.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the graph,
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
Therefore, n is a positive odd number.
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HELP PLS ASAP PLS PLS PLS
Answer:
Step-by-step explanation:
m = 63°
n = 135°
p = 63°
r = 112.5°
s = 50°
t = 67.5°
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?
Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km
Step-by-step explanation:
so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.
d = 8km/h × 2h = 16km
Serena ran 16km in these 2 hours.
Answer:
the correct answer is 16km
Step-by-step explanation:
pl.z dont delete this
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6 is no, -8 is no, - 10 is no, 5 is no
Step-by-step explanation:
6 is no beacause 3 - 4(6) = 11
3 - 24 = 11
-21 = 11
-21 is not equal to 11 so that means that 6 is not a solution.
- 8 is no because 3 - 4(- 8) = 11
3 + 32 = 11
35 = 11
35 is not equal to 11 so that means that - 8 is no a solution
- 10 is no beacause 3 - 4(-10) = 11
3 + 40 = 11
43 = 11
43 is not equal to 11 so that means that - 10 is not a solution.
5 is no beacause 3 - 4(5) = 11
3 - 20 = 11
-17 = 11
-17 is not equal to 11 so that means that 5 is not a solution.
Hope that helps!
Answer:
If u=6,
3-4u=11
3-4(6)=11
3-24=11 (false; not a solution)
If u=-8,
3-4u=11
3-4(-8)=11
3+32=11 (false; not a solution)
If u=-10,
3-4u=11
3-4(-10)=11
3+40=11 (false; not a solution)
If u=5,
3-4u=11
3-4(5)=11
3-20=11 (false; not a solution)
How do you solve 5x+17>5(2x+1) algebraically?
Answer:
x < 12/5
Step-by-step explanation:
First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.
Next, subtract 5 on both sides to get
5x + 12 > 10x.
Afterwards, subtract the 5x on both sides to get 12 > 5x.
Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.
Hope this helps you :)
what fraction is this shape is shaded
if f(x) = (3+x)/(x-3), what is f(a+2)
Answer:
B
Step-by-step explanation:
To evaluate f(a + 2), substitute x = a + 2 into f(x), that is
f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]
find the sum of the first 10 terms of the geometric series 1+10+100+1000+...
(with solution)
PA HELP PO THANKSSS
Answer:
1111102111
Step-by-step explanation:
a = 1
r = 10
∑1x10^n = 1111102111
where n starts from 1 to 10
Find the length s of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 cm
plsss help!!!!!!!!!!!!!!!!!!!!
Answer:
1. C ≈ 43.9823
2. C ≈ 37.6991
Step-by-step explanation: c=2π · r
19x+5+16x=180
I need help with this I don’t understand
Hello!
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19x+5+16x=180
First, add the x's together:
35x+5=180
Now, subtract 5 from both sides:
35x=180-5
35x=175
Divide both sides by 35 to isolate x:
x=5
Hope you find my answer helpful! Please give the crown if you do! (:
~SparklingFlower
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Is the expression 8 x 85 equivalent to (8 X 835? Explain.
pls help I'm dying lol
[tex]8 \times 835 = 6680[/tex]
Answer:
the answer will be 6680
Find the slope between the following points. Make sure you simplify!!:
(-5, 8) and (-11,8)
Answer:
0
Step-by-step explanation:
use the slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
(-5, 8); -5 is x1 and 8 is y1
(-11, 8); -11 is x2 and 8 is y2
Plugin the numbers and solve.
[tex]m = \frac{8 - 8}{ - 11 - - 5 } \\ \\ m = \frac{8 - 8}{ - 11 \ + 5} \\ \\ m = \frac{0}{ - 6} \\ \\ m = 0[/tex]
PLEASE HELP ! what is f(5)
A) 0
B) 5
C) -7
D) -5
- BRAINLIEST answerer
Does anyone know this ??
Answer:
I believe that its C, but don't get mad at me if I get it wrong
please help!! graph y=-4/3x+8
Answer:
put a point on (0,8) and (4,3)
Which equation has the solution x = 3?
Select each correct answer.
9−3x=0
2x + 4 = 10
9x−1=4
3x + 1 = 9
x3+5=6
5x−7=1
Answer:
First two equations
Step-by-step explanation:
9-3x=0
9=3x
3=x
x=3
2x+4=10
2x=6
x=3
9x-1=4
9x=5
x=5/9
3x+1=9
3x=8
x=8/3
x^3+5=6
x^3=1
x=1
5x-7=1
5x=8
x=8/5
At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis?
-7
-4
4
7
Answer:
Answer: -7
Step-by-step explanation:
The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.
What is Root of Equation?In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.
A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.
We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.
Now, if f(x) = 0
then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0
Now, calculating in separate the value of x as
x +4 =0 and x+ 7= 0
x = -4 and x = -7
Thus, the roots cross x axis at -4 and -7.
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Rocío y su hermano Rafael son aficionados al modelismo y tienen una colección de
barcos y aviones. Rocío comentó: "Si tuviéramos once barcos más, tendríamos el
mismo número de barcos y aviones”, a lo que Rafael respondió: “Pero si tuviéramos
doce aviones más, tendríamos el doble de aviones que de barcos”. ¿Cuántos barcos
y aviones tienen Rocío y Rafael?
Usando un sistema de ecuaciones, se encuentra que Rocío y Rafael tienen 23 barcos y 34 aviones.
Para el sistema, consideramos que:
x es el número de barcos.y es el números de aviones.Situviéramos once barcos más, tendríamos el mismo número de barcos y aviones, o sea:
[tex]x + 11 = y[/tex]
[tex]y = x + 11[/tex]
Pero si tuviéramos doce aviones más, tendríamos el doble de aviones que de barcos, o sea:
[tex]y + 12 = 2x[/tex]
De el primer ecuación, [tex]y = x + 11[/tex], por eso:
[tex]y + 12 = 2x[/tex]
[tex]x + 11 + 12 = 2x[/tex]
[tex]x = 23[/tex]
[tex]y = x + 11 = 23 + 11 = 34[/tex]
Rocío y Rafael tienen 23 barcos y 34 aviones.
Un problema similar es dado en https://brainly.com/question/24646137
The Olympic record for the most points in springboard diving is 905.02. The gold medal winner in 2008 scored 572.9. How many more points is the record to the gold medal winner of 2008?
Answer:
332.12
Step-by-step explanation:
how do you simplify 2.7 x 6
Answer:
16.2
Step-by-step explanation:
Please help, I need this done within 2 hours...
Please do the 4 problems circled in blue, show work if possible
Answer:
12. 108 degrees
13. 150 degrees
15. 40 degrees
16. 30 degrees
Step-by-step explanation:
12. 540 is the total degrees inside a pentagon, and since it is regular (every side is equal) you divide 540/5 to get 108
13. 1800 is the total degrees inside a dodecagon, and since it is regular (every side is equal) you divide 1800/12 to get 150
15. 1260 is the total degrees inside a nonagon however since it is asking for the exterior angle you take 1260/9 to get 140 and since every straight line is 180 degrees you subtract 140 from 180 to get 40 degrees.
16. 1800 is the total degrees inside a 12-gon (dodecagon) however since it is asking for the exterior angle you divide 1800/12 to get 150 degrees which since every straight line is 180 you subtract 150 from 180 to get 30 degrees.
10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE
which expressions are equivalent to 4 (4a + 5)
choose 3 answers
A. 16a + 5
B. 16a + 20
C. 12a + 20 + 4a
D. 2 (8a + 10)
E. 16a + 5 + 4
Answer:
B 16a + 20
Step-by-step explanation:
4(4a + 5) = 4 times 4a + 4 times 5
= 16a + 20
Which circle has a radius that measures 10 units?
10
D
20
F
10
OG
20
Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
The distance across a circle through the centre is called the diameter.
Diameter = 2 × radius
In the given figures, option B has a diameter of 20
so radius = diameter /2
=20/2
=10 units
Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
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I need help I don't understand
Answer:
2nd one
Step-by-step explanation:
I know this because I learned about this
Geometry problem, solve for X
Answer:
7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Parallel lines with transversal
The angles are the same because of corresponding angles
130=19x-3
133=19x
133/19=x
x=7
How do I simplify 12+2c+6d-8c+d
Hello there! :)
12+2c+6d-8c+d
Combine like terms:
2c-8c+d+6d+12
-6c+7d+12
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The given equation is;
12+2c+6d-8c+d
By adding the same terms the equation can be simplified;
[tex]\rm 12+2c+6d-8c+d \\\\ 12+7d-6c[/tex]
Hence the simplified equation will be 12+7d-6c.
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Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip
Answer:
$31.92
Step-by-step explanation:
28.50 x .12 = 3.42
3.42 + 28.50 = $31.92
The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.
Let’s set up a proportion. We can substitute the amounts we know into the proportion.
Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.
Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.