Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{4}{6}[/tex]
[tex]\text{Probability}=\dfrac{2}{3}[/tex]
In decimal form, it can be written as:
[tex]\text{Probability}\approx 0.67[/tex]
In percentage form, it can be written as:
[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]
[tex]\text{Probability}\approx 66.67%[/tex]
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.
3 − –403,593 positive or negative?
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 712 7 7 7 1 2 712 6 3 4 634 7 1 4 714 7 1 4 714 7 1 4 714 7 7 6 1 2 612 7 3 4 734 7 3 4 734 6 3 4 634 8 1 4 814 7 7 7 1 2 712 7 7 7 1 4 714 7 7 7 1 2 712 7 1 2 712
Answer:
Dot plot A
Step-by-step explanation:
In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.
___ Frequency
6 1/2 - 1
6 3/4 - 2
7 = 5
7 1/4 = 4
7 1/2 = 5
7 3/4 = 2
8 1/4 = 1
Please help me with this math problem
Answer:
80.6 m
Step-by-step explanation:
Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.
Length of the shortcut can be found by using distance formula between two points P and Q.
Length of the shortcut
[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]
Median of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
Answer:
10.5
Step-by-step explanation:
Find the two middle numbers, add them together and divide them by two if it is an even number. For odd numbers, your median will be the middle number.
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
pls show the process
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
The electrical resistance of a wire is directly proportional to its length.
A wire of length 10 feet has a resistance of 2 ohms.
ment
Part A
What is the resistance of a wire if its length is 25 feet?
20 ohms
6 ohms
50 ohms
5 ohms
10 ohms
ig
Part B
What is the length of a wire if its resistance is 8 ohms?
A
48 ft
4 ft
1.6 ft
32 ft
40 ft
Answer:
https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf
Step-by-step explanation:
∠2 ≅ ∠ because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠ by the Vertical Angles Theorem.
*see diagram in the attachement below
Answer:
∠2 ≅ ∠6 because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠8 by the Vertical Angles Theorem.
Step-by-step explanation:
We are required to find the angle that is congruent to <2 and the angle that is congruent to <5.
Already, we are given the reasons to justify the answers we get.
Thus:
<2 has matching corner as <6. Hence they are corresponding angles
<5 and <8 are vertical angles having the same vertex and are directly opposite each other. Therefore, based on the vertical angles theorem, <5 ≅ <8
NEED IT ASAP
Find the missing side.
3 is A^2
5 is B^2
what is the missing side
Answer:
5.83
Step-by-step explanation:
Use the Pythagorean theorem:
3^2+5^2 = c^2
34 = c^2
sqrt34 = c
5.83 = c
A child swallowed a substance with an LD50 of 6 mg/kg of body weight. It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.
False
True
Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.
How to LD50 represents?The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.
Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.
Learn more about LD50 here: https://brainly.com/question/10042271
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4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
is it prependicular or overlapping
In a quiz, you receive 7 points for a correct answer and –4 points for an incorrect answer.You receive 0 points if you do not answer the question.There are 20 questions in total.Is it possible to get a score of –11 in this quiz?
Answer:
Yes it is possible
Step-by-step explanation:
Given
[tex]n = 20[/tex]
[tex]x= 7[/tex] --- correct
[tex]y = -4[/tex] --- wrong
[tex]z = 0[/tex] --- empty answer
Required
Is a total of -11 possible?
To do this, we apply trial by error method.
After so many approaches, I found the following solution
[tex]x \to 3[/tex] -- Got 3 correctly
[tex]y \to 8[/tex] --- Failed 8
[tex]z \to 9[/tex] ---- Didn't answer 9
The above will give a score of -11.
We have:
[tex]3x+8y+9z[/tex]
[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]
[tex]3x+8y+9z = 21-32 + 0[/tex]
[tex]3x+8y+9z = -11[/tex]
Hence, a score of -11 is possible
Solve X2--169. (4 points)
Answer:
Replace all occurrences of
−
−
with a single
+
. Two consecutive minus signs have the same mathematical meaning as a single plus sign because
−
1
⋅
−
1
=
1
x
2
+
169
Step-by-step explanation:
Write a rule for the n th term of the sequence for which az = 4 and r= 2.
=
Answer:
Step-by-step explanation:
The general form for a geometric sequence is:
a
n
=
a
1
⋅
r
n
−
1
With this, you can write a system of equations:
a
2
=
a
1
⋅
r
2
−
1
a
5
=
a
1
⋅
r
5
−
1
2
=
a
1
⋅
r
1
0.25
=
a
1
⋅
r
4
r
4
r
1
=
0.25
2
r
3
=
0.125
r
=
0.5
Now, find the first term.
a
2
=
a
1
⋅
0.5
1
2
=
a
1
⋅
0.5
a
1
=
4
Using the formula stated above, we get:
a
n
=
4
⋅
0.5
n
−
1
Plz help me i suck at this ;-;
Answer:
The answer is obtuse
Step-by-step explanation:
because a triangle cannot be a right or parallel or a Isosceles.
Hope this helps!:)
Answer:
The correct answer is: Isosceles.
Step-by-step explanation:
First let’s take a look at ‘Right’. Right, is determining the angle, not the side length.
’Obtuse’. Obtuse is also determinin the angle, therefore it cannot be the correct answer.
’Parallel’. It is impossible for a triangle to be parallel, meaning that there are two opposite sides, incapable of touching each other.
’Isosceles‘ for a triangle to be isosceles, it needs two sides made of equal length. This description connects with the question being asked, therefore ‘Isosceles‘ is the correct answer.
Find the surface area!
Thank you!!
Answer:
[tex]SA= 720 m^2[/tex]
Step-by-step explanation:
[tex]x=\sqrt{5^2+12^2}=13m[/tex]
[tex]AS=2*1/2*12+12*22+5*22+13*22[/tex]
[tex]= 60+264+110+13*22[/tex]
[tex]AS= 720m^2[/tex]
⋆┈┈｡ﾟ❃ུ۪ ❀ུ۪ ❁ུ۪ ❃ུ۪ ❀ུ۪ ﾟ｡┈┈⋆
hope it helps...
have a great day!!
Answer:
SA=720m^2
Step-by-step explanation:
hope it helps you ..
Can someone help please, this has been stressing me out
If i = V-1, then (3 – i)(3+ i) =
Solve equation
0=5x+3
Answer:
the answer is -3/5
Step-by-step explanation:
x=-0.6
Answer:
0 =5x+3
-3 =5x
-3/5=x
x=-3/5
1.
Use synthetic division and the Remainder Theorem to find P(a).
P(x) = x3 + 7x2 + 4x; a = −2
2
12
−2
0
Answer:
12
Step-by-step explanation:
Please write this function as P(x) = x^3 + 7x^2 + 4x + 0. This third order function has four coefficients. We set up synthetic division with -2 as the divisor:
-2 / 1 7 4 0
-2 -10 12
----------------------
1 5 -6 12
The remainder is 12. Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.
Classify this triangle by its sides.
Step-by-step explanation:
The answer is scalene triangle
Answer:
scalene
Step-by-step explanation:
all the sides of a scalene triangle have different lengths, as shown in the picture :)
What are the first five terms of the sequence defined by the given function?
f(n) = 2n − 8
A. 2, 8, 14, 20, 26
B. -6, -4, -2, 0, 2
C. 2, -4, -10, -16, -22
D. -6, -8, -10, -12, -14
Answer: B. -6, -4, -2, 0, 2
Step-by-step explanation: Use the attachment to help you with your answer.
Anyways, have an amazing day!
help worth 50 points
Answer:
it is an outlier !!!!!
TRUE OR FALSE?
All square roots can be simplified to a decimal answer and still be equivalent.
THE ANSWER IS TRUE :P
Step-by-step explanation:
All the square roots can be simplified to a decimal answer and still be equivalent.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
We know that every number has a square root.
All the numbers does not have a perfect square root.
The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......
All the other numbers in between has the square roots which are decimal numbers.
Hence, all square roots can be simplified to a decimal answer and still be equivalent.
Learn more about Square Roots here :
https://brainly.com/question/29286039
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PLEASE HELP FAST!!!!!!!!!!
Help me out please???
Lyla is playing a game in math class where the students describe a number they are thinking of and the class uses clues to determine which type of number it is. Lyla tells her class that she is thinking of a positive number with infinitely many nonrepeating digits after the decimal point. Which type of number is Lyla thinking of?Single choice.
(1 Point)
1. whole
2. integer
3. rational
4. irrational
Answer:
1 or 3 sorry if wrong
Step-by-step explanation:
Which statements about the triangles are correct? Select TWO answer choices that apply.
A
Triangle P is similar to triangle Q.
B
Triangle P is a reflection and rotation of triangle Q.
C
Triangle P is congruent to triangle Q.
D
Triangle P is a reflection and a dilation of triangle Q.
E
Triangle P is a dilation and a 180° rotation of triangle Q.