Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Let A be the event of getting an odd number.
P(A) be the probability of getting an odd number.
Total odd numbers here are 6 i.e. [tex]\{1,3,5,7,9,11\}[/tex]
Here, total numbers in the game are 12 i.e [tex]\{1,2,3,....,12\}[/tex].
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}[/tex]
Let B be the event of getting 11.
P(B) be the probability of getting 11.
Total number of possible cases is 1.
[tex]P(B) = \dfrac{1}{12}[/tex]
[tex]P(A \cap B)[/tex] is the probability that we get 11 and an odd number.
Possible number of cases = 1
[tex]P(A\cap B) = \dfrac{1}{12}[/tex]
P(B/A) is the probability that we get an 11 given that it is an odd number.
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}[/tex]
Hence, P(B/A) = [tex]\dfrac{1}{6}[/tex]
Answer:
The probability in fraction is [tex]\frac{1}{12}[/tex].
Step-by-step explanation:
Total number of outcomes is = 12
Now we have to find the probability that spun number is 11.
That means favorable outcome is 1.
In this case, the probability can be determined by dividing the number of favorable outcomes by the total outcome. Accordingly, the total outcomes are 12 and favorable outcome is 1.
[tex]\text{P(The spun number is 11)}= \frac{\text{Favorable outcomes}}{\text{total outcomes}} \\\text{P(The spun number is 11)}= \frac{1}{12} \ (in \ fraction)\\\text{P(The spun number is 11)} = 0.083 \ (in \ decimal)[/tex]
PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
Definition of scale factor
Answer:
A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.
Step-by-step explanation:
is this good?
Answer: In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure.
Step-by-step explanation:
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres and a width of 9 centimetres.
The height of a rectangular prism is 8.3 cm.
What is Surface Area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.
We have,
Surface Area = 288 square cm
Base length = 4 cm and width = 9 cm
So, SA of rectangular prism
288 = 2(lw+ wh + lh)
144 = (36 + 9h + 4h)
13h = 144- 36
13h = 108
h = 8.30 cm
Learn more about Surface area here:
https://brainly.com/question/29298005
#SPJ2
Out of a sample of 94 purchases at the drive-up window of a fast-food establishment, 27 were made with a major credit card. Find a 98% confidence interval for the population proportion of purchases paid with a major credit card.
Answer:
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
Emma jogs 2 miles along the beach in 1 3 of an hour. If she travels at a constant rate, how far will she jog in an hour? 1. Use the known information to write a rate. Emma's rate: 2 miles 1 3 hours 2. Write an equivalent rate with a denominator of 1. 2(3) miles 1 3 (3) hours = ? 1 hour She will jog miles.
Answer:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be
Let x represent the number of mikes that she would jog in 1 hour.
If 2 miles = 1/3 of an hour, then
x = 1 hour
Cross multiplying, it becomes
x × 1/3 = 2 × 1
x/3 = 2
x = 3 × 2 = 6 miles
The equivalent rate with a denominator of 1 is 6/1 miles
Answer:
The Answer Is 6.
⢀⡴⠑⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆ ⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿ ⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣮⣭⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠛⠉
Find the perimeter of the figure.
1 in
1 in
3 in
5 in
3 in
Answer:
13 in
Step-by-step explanation:
add them all because its says perimeter
Answer: 13 in.
Step-by-step explanation: 1+1+3+5+3 = 13
I NEED THIS ASAP, THANKS!!! I WILL MARK BRAINLEIST!
Why is it important to describe the variable in an expression? Thank you!
9514 1404 393
Explanation:
Understanding what a variable stands for is essential when substituting values or interpreting answers.
__
For example, consider the equation for arc length:
s = rθ
The variables stand for ...
s — arc length in units of distancer — radius of the arc in the same units of distanceθ — the angular measure of the arc in radians (unitless)For proper use of this formula, it is essential to understand that the variables s and r have the same units of length. The angular measure is not degrees (or grads), but is the unitless measure of angles known as radians.
It would be erroneous to use feet or yards for 'r' and expect the arc length 's' to be in miles. Similarly, it would be erroneous to substitute 30° for θ, instead of the equivalent radian measure π/6.
These errors can be avoided if the variables are properly described.
convert 0.528 to a percent
Answer:
52.8%
Step-by-step explanation:
To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!
Percentage form of number 0.528 is,
⇒ 52.8%
We have to given that;
To convert 0.528 into a percent.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Hence, We can change into a percent as,
⇒ 0.528
⇒ 0.528 x 100%
⇒ 52.8%
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ6
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robins age. How old is Gwen?
Answer:
35
Step-by-step explanation:
11 × 3 = 33
+ 2 = 35
Robin is 11 (11)
Gwen is 2 years (+2) more than 3 times (×3) Robins age
Answer:
35.
Step-by-step explanation:
Hello there!
Solve the given equation to find Gwen's age:
3(11)+2
33+2
35
:)
HELP PLSS ANYONE? I'VE TO SUBMIT ASAP
x =14
Answer:
[tex] m\angle ABC = 51°[/tex]
Step-by-step explanation:
11. By inscribed angle theorem:
[tex] 83°=\frac{1}{2} \times (9x+40)°\\\\
83°\times 2 = (9x+40)°\\
166°= (9x+40)°\\
166 = 9x + 40\\
166 - 40 = 9x\\
126 = 9x\\\\
x = \frac{126}{9}\\\\
\huge \red {\boxed {x = 14}} [/tex]
12. Again by inscribed angle theorem:
[tex] (5x+11)°=\frac{1}{2} \times (16x-26)°\\\\
2\times (5x+11)°= (16x-26)°\\
(10x+22)°= (16x-26)°\\
10x + 22 = 16x - 26\\
22+26 = 16x - 10x\\
48= 6x\\\\
x = \frac{48}{6}\\\\
\huge \purple{\boxed {x = 8}}\\
m\angle ABC = (5x+11)°\\
m\angle ABC = (5\times 8+11)°\\
m\angle ABC = (40+11)°\\
\huge \orange{\boxed {m\angle ABC = 51°}} \\
[/tex]
A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer
Answer:
a . 9/25
b. 13/25
c. 3/5
Step-by-step explanation:
Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls
P(R) = number of red/total number of balls = 3/5
P(B) = number of blue/total number of balls = 2/5
Since the experiment is with replacement, whatever ball picked would be returned
a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25
b. Probability of both balls being same color;
That is : probability of both balls being red or both being blue
Mathematically that would be;
P(R) * P(R) or P(B) * P(B)
whenever we have or in probability, what we do is to add ;
= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25
C. at least one of the balls is red
what this means is that both are red or one of the two is red.
Mathematically;
P(R) * P(R) or P(B) * P(R)
= (3/5 * 3/5) + (3/5 * 2/5)
= 9/25 + 6/25 = 15/25 = 3/5
Sheila has 11 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 3/4 pounds. How many containers does she need? Complete the explanation.
Containers are counted in numbers, so she will need containers.
Hello!
Answer:[tex]\boxed{ \bf Sheila~will~need~about~7~containers.}[/tex]
__________________________________________________
Explanation:First, we will need to convert the mixed fractions to improper fractions.
Numerators: (2 · 11) + 1 = 23
(4 · 1) + 3 = 7
Denominators: stay the same.
11 [tex]\frac{1}{2}[/tex] ⇒ [tex]\frac{23}{2}[/tex]
1 [tex]\frac{3}{4}[/tex] ⇒ [tex]\frac{7}{4}[/tex]
Next, we must divide these two fractions:
[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{7}{4}[/tex]
We must flip the divisor into a reciprocal:
[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{4}{7}[/tex]
Change the division sign to multiplication and multiply:
[tex]\frac{23}{2}[/tex] × [tex]\frac{4}{7}[/tex] = [tex]\frac{92}{14}[/tex]
To find out how many containers will be needed, simply convert this fraction to a decimal by dividing the numerator by the denominator.
92 ÷ 14 = 7 (Rounded)
Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session
the answer is 32 ounces this same queston is in my notes
hope it likes you...
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
A triangle has an area of 30 square centimeters.
If the height of the triangle is 5 1/2 centimeters, what is the base length?
Answer: 10.9 cm
Step-by-step explanation:
The equation to find the area of a triangle is
Base x height x 1/2 = area
Since you are given the area, rearrange or “do the opposite” to find the base
(Area x 2 ) / height = base
30 x 2 = 60
60/ 5.5 = 10.9
Hope this helped :)
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height of the tree?
Answer:
the height of the tree is about 151 meters
can someone help me with this question
Answer:
Female:
Total 26
Male:
Rovers 9
City 8
Total 24
Total (along the bottom):
Rovers 20
United 10
I need this answer please tell me the answer
Answer:
less than
[tex]1 \frac{1}{2} [/tex]
I believe
Trapezoid EFGH is inscribed in a circle, with [tex]EF \parallel GH[/tex]. If arc GH is 70 degrees, arc EH is x^2 - 2x degrees, and arc FG is 56 - 3x degrees, where x > 0, find arc EPF, in degrees.
Answer:
Arc EPF is 240°
Step-by-step explanation:
Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;
∠HGF + ∠GFE = 180°
∠GHE + ∠GFE = 180°
∠HGF + ∠HEF = 180°
∴∠HEF = ∠GFE
In ΔHEF and ΔGFE
∠EHF = ∠EGF (Angles subtending the same segment)
With side EF common to both triangles and ∠HEF = ∠GFE , we have;
ΔHEF ≅ ΔGFE (Angle Angle Side rule)
Hence, side FG = EH
For cyclic trapezoid side FG = EH
The base angles subtended by GH = 70
Arc EH = x² - 2·x
Arc FG = 56 - 3·x
Therefore;
70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)
Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;
x² - 2·x = 56 - 3·x
x² - 2·x - 56 + 3·x = 0
x² + x - 56 = 0
(x - 7)(x + 8) = 0
Therefore, since x > 0 we have x = 7
Plugging in the value of x into the equation (1), we have
70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)
70 + 70 + arc EPF = 360
arc EPF = 360 - 140 = 240°.
Baby is planning to put a square garden with an area of 200 square feet in her back yard estimate the length of each side of the garden to the nearest whole number
Answer:
The correct answer will be 14
Step-by-step explanation:
I am 100% sure!!! Hope this helps.
PLEASE GIVE BRAINIEST!!!
The requried measure of the length of the garden is given as 14.14 feet.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Baby is planning to put a square garden with an area of 200 square feet
Let the side length be x,
according to the question,
Area of the square = 200
x² = 200
x = 14.14 feet
Thus, the requried measure of the length of the garden is given as 14.14 feet.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ2
What is the area of the triangle (I need this today pls help)
Answer: 24 units^2
(12*4)/(2)=24
Step-by-step explanation:
Answer:
Step-by-step explanation:
4*12/0.5=96
What is the value of x in the equation below?
3(12x- 24) = 16
O 2
6
08
10
Answer:
x = 2,444
Step-by-step explanation:
3(12x - 24) = 16
36x - 72 = 16
36x = 16 + 72
36x = 88
x = 88/36
x = 2,444
What is 0.12¯¯¯¯ expressed as a fraction in simplest form?
Enter your answer in the box.
Answer:
100÷12=50÷6=25÷3
Step-by-step explanation:
the answer is 25÷3
When there is a 20.1 mihr wind, an airplane can fly 630 mi with the wind in the same time that it can fly 521 mi against the wind. Find the speed of the plane when there is no wind.
Answer:
the speed of the plane when there is no wind is 212.25 mi/hr
Step-by-step explanation:
Let v represent the speed of the plane without wind.
Wind speed = 20.1 mi/hr
The resultant speed with wind is;
v + 20.1 mi/hr
The resultant speed against wind is;
v - 20.1 mi/hr
Let t represent the time for the travel.
With wind;
(v+20.1)t = 630 ......1
Against wind;
(v-20.1)t = 521 ......2
Divide equation 1 by 2
(v+20.1)/(v-20.1) = 630/521
Cross multiply;
521(v+20.1) = 630(v-20.1)
Collecting like terms;
v(630-521) = 20.1(630+521)
v = 20.1(1151)/109
v = 212.25 mi/hr
the speed of the plane when there is no wind is 212.25 mi/hr
A spherical boulder is 26 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for it
The volume of the boulder is approximately 13
(Round to the nearest whole number as needed.)
Answer:
530 ft.
Step-by-step explanation:
π(r)^2
3.14(13)^2
= 530.66 rounded to the nearest whole number
= 530
What is the measure of AC?
a.5 units
b.13 units
c.26 units
d.39 units
Answer:
twenty six units putfghdjk
Answer:
c
Step-by-step explanation:
what is the area of the following circle
Answer: 25 pi
Step-by-step explanation:
