Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is [tex]\frac{1}{3}[/tex] if first draw was successful, and [tex]\frac{2}{9}[/tex] if the first number was multiple of three.
Using conditional probability, it is found that there is a 0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: First number is a multiple of 5.Event B: The second number is a multiple of 3.There are 10 numbers, of which 2(5 and 10) are multiples of 5, hence [tex]P(A) = \frac{2}{10} = 0.2[/tex]
Then, supposing a multiple of 5 is taken, there will be 9 numbers, of which 3(3, 6 and 9) are multiples of 3, hence [tex]P(B|A) = \frac{3}{9} = \frac{1}{3} = 0.3333[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.2(0.3333)[/tex]
[tex]P(A \cap B) = 0.0667[/tex]
0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
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Find AB, given that line AD is the perpendicular bisector of BC
Answer:
AB = 9
Step-by-step explanation:
The perpendicular bisector divides Δ ABC into 2 congruent triangles, that is
Δ ABD ≅ Δ ACD , then
AB = AC = 9
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. The length of AB is 9 units.
What is the congruent triangle?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Given that:
Line AD ⊥ar bisector of BC.
BD=DC= 6 units
AC= 9 units
In △ABD and △ACD, we have
DB=DC (Given)
∠ADB=∠ADC
(AD⊥BC)AD=AD (Common)
∴ by the SAS criterion of congruence, we have.
△ABD≅△ACD
⇒ AB=AC (corresponding parts of congruent triangles are equal)
∴AB=AC= 9 units.
Therefore, the length of AB is 9 units.
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The product of two integers is – 729 one of them is 27 find the other.
please.......help......me......!!!
Answer:
-27
Step-by-step explanation:
-729/27 = -27
hope it helps :)
please mark brainliest!!!
Simplify the expression -4^2(3x - 7)
Answer:
−48x+112
Step-by-step explanation:
evatulate: −16 (3−7)
-48+112
Complete the missing parts of the
table for the following function. (picture) please answer all asap
Answer:
x=-1 y = 1/3
x = 1 y = 3
x = 3 y = 27
Step-by-step explanation:
y = 3^x
Let x = -1
y = 3^-1 = 1/3^1 = 1/3
Let x = 1
y = 3^1 = 3
Let x = 3
y = 3^3 = 27
{(2,1), (4,2) (6,3) (8,4)} is what type of relation?
a. many-to-many
b. one-to-many
c. many-to-one
d. one-to-one
The given relation {(2,1), (4,2) (6,3) (8,4)} is one to many relation.
The other solution for this problem is given below.
The pattern is the sum of the two numbers plus the previous sum, i.e.
12 = 2+5 +(5)
21 = 3+6+ (12)
40 = 8+11 +21
These type of questions are part of reasoning and comes in random competitive exams which have multiple choice questions and therefore you have more than you want.
First , you need to multiply both numbers and then add the first number.
Therefore, 1+4= 1x4+1=5
2+5=2×5+2=12
3+6=3×6+3=21
What is the many to one relation?
A many-to-one relationship is where one entity (typically a column or set of columns) contains values that refer to another entity (a column or set of columns) that has unique values.
Hence,8+11=8×11+8=96
The other solution for this problem is given below.
The Solution for this is
1+4=5
1(4+1)=1(5)=5
2+5=12
2(5+1)=2(6)=12
3+6=21
3(6+1)=3(7)=21
Therefore we get,
8+11=8(11+1)=8(12)=96.
Therefore the given relation is any one to many relation.
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the diagram shows a prism work out the volume???
Answer:
Volume is equal to
L×W×H
=(10×9×7)cm
=90×7
=630
The volume of the prism is 980cm3.
We are given that;
The dimensions= 4*7*9*2*10cm
Now,
A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
Volume of upper prism;
=5*4*40
=800cm3
Volume of lower prism;
=2*9*10
=180cm3
Total volume= upper volume + lower volume
=980cm3
Therefore, by the rectangular prism the answer will be 980cm3.
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Can you answer this math homework? Please!
Answer:
y + 2.3 = 0.45x
y = 0.45x - 2.3
-2y = 4.2x - 7.8
-2(0.45x - 2.3) = 4.2x - 7.8
-0.90x + 4.6 = 4.2x - 7.8
-0.90x - 4.2x = -7.8 - 4.6
-5.1x = - 12.4
x = -12.4 / -5.1
x = 2.4
y + 2.3 = 0.45x
y = 0.45(2.4) - 2.3
y = 1.08 - 2.3
y = -1.2
solution is : (2.4, - 1.2)
Step-by-step explanation:
6. The right triangles ABC and DEF are
similar. The hypotenuse of AABC
measures 28 cm and the hypotenuse
of A DEF measures 7 cm. If one of the
legs of AABC measures 16 cm, what
does the corresponding leg of ADEF
measure?
F 1 cm
H 12 cm
G 4 cm
J 64 cm
Answer:
G. 4 cm
Step-by-step explanation:
28 divided by 7 equals 4.
So, 16 divided by 4 equals 4, which is the answer.
4 is the multiple that relates AABC to ADEF.
In elementary school, we learned about opposite operations such as addition and
subtraction, and multiplication and division. In both of these cases, one operation
"undoes" the other.
In this course, we'll begin to explore "opposite" function types. For example, think about a
quadratic function and its key features. What key features do you think its opposite
function will have? Why?
B
Ithi
Answer:
I would say the opposite function would either be a linear function, or have all the terms on one side multiplied by -1
The main features of the opposite function of the quadratic equation are; Reflection and Symmetrical
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are Given a quadratic function and its key features
To Determine: what key features its opposite function will have
The opposite function or inverse functions are reflections of each other over the straight line y = x.
We will find the inverse by switching x and y in the equation as;
f(x) = x² + 5
The inverse would be
x = √f(x) - 5
Once graph those two functions, that will see that they're symetrical that has y=x line by its middle line.
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Help.... My brain stopped working
Answer:
3.2 liters
Step-by-step explanation:
The first thing we want to do is find the amount of water it leaks hourly
To do so we divide the amount of water it leaks in 3 hours ( .48 ) by 3
.48/3 = .16
So the faucet leaks .16 liters per hour
Now to find how much water the faucet leaks in 20 hours
To do this we simply multiply 20 by the hourly leakage amount (.16)
.16 * 20 = 3.2
So in 20 hours the faucet would have leaked 3.2 liters of water
Answer:
3.2 liters of water :)!
Step-by-step explanation:
If 0.48 every 3 hours we can do 0.48/3 to find the amount it loses every hour.
0.48/3=0.16
Then if we multiply 0.16 by 20 we will get the amount it loses in 20.
0.16x20=3.2
Hence, it loses 3.2 liters of water every 20 hours.
Hope this helps:)!
Identify the segments that are parallel, if any, if ∠DCB,∠CBA are supplementary.
A. DC¯¯¯¯¯¯¯¯ || AB¯¯¯¯¯¯¯¯
B. AD¯¯¯¯¯¯¯¯ || CB¯¯¯¯¯¯¯¯
C. AC¯¯¯¯¯¯¯¯ || CD¯¯¯¯¯¯¯¯
D. BA¯¯¯¯¯¯¯¯ || CA¯¯¯¯¯¯¯¯
Answer:
Option A and Option B
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are parallel and equal in measure.
2). Adjacent angles are supplementary.
Since, ∠DCB and ∠ACB are the supplementary angles,
ABCD will be a parallelogram.
Therefore, Opposite sides of the parallelogram ABCD will be parallel and equal in measure.
DC║AB and AD║CB
Option A and Option B are the correct options.
Answer:
A
Step-by-step explanation:
i use same program
the polygons in each pair are similar. find the missing side length.
Given:
The polygon in the given figure are similar.
To find:
The missing side length.
Solution:
We know that the corresponding sides of similar figures are proportional.
The given polygons are similar, so the their corresponding sides are proportional.
[tex]\dfrac{x}{15}=\dfrac{32}{40}=\dfrac{32}{40}[/tex]
So, the missing values in the equation of proportion are 15, 40, 32 respectively.
On solving the above equation, we get
[tex]\dfrac{x}{15}=\dfrac{4}{5}=\dfrac{4}{5}[/tex]
[tex]\dfrac{x}{15}=\dfrac{4}{5}[/tex]
[tex]x=\dfrac{4}{5}\times 15[/tex]
[tex]x=12[/tex]
Therefore, the value of x is 12.
9. what is the measure of QSR
=======================================================
Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
----------------------------
Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
----------------------------
The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
Which of the following exponential functions represents the graph below?
giving brainliest
2 variable table
Answer:
below
Step-by-step explanation:
that is the procedure above
What is the equation of the line that passes through (0, 3) and (7, 0)?
Answer:
y=-3/7x+3
Step-by-step explanation:
What is the quotient in simplest form?
3/4 divided by 5/16
ANSWE QUICK PLS
Answer:
2 2/5
Step-by-step explanation:
3/4 divided by 5/16 = 12/5
12 goes into 5 2 times making
2 2/5
Answer:
2 2/5
Step-by-step explanation:
3/4 ÷ 5/16 =
3/4 · 16/5 =
2 2/5
3/4 divided by 5/16 is equal to 2 2/5.
Draw the graph of following function. Y=X²- 2X
Answer:
Plot 3 points
(0,0)(1,-1)(2,0)Step-by-step explanation:
Let plot the vertex
[tex] - \frac{b}{2a} [/tex]
[tex] - \frac{ - 2}{2} = 1[/tex]
Plug this value in
[tex]y = {1}^{2} - 2 = - 1[/tex]
So our minimum point is at (1,-1).
This also means our line of symmetry occurs about x=1.
Let use some point like 0.
[tex]0 = {0}^{2} - 0[/tex]
So this means point (0,0) is a point. Since 1 is the line of symmetry, (2,0) is a point.
If you translate ABC 5 units to the right and 2 units down, what will be the location of A’?
i need help ASAP please
Answer:
reflection over Y axis
Step-by-step explanation:
Answer:
I believe it is D) a reflection over the Y-axis
Step-by-step explanation
it is going over the Y-axis as if it is a sort of mirror, if it were going over the x-axis it would be flipped upside down, if it was A the shape would be going over the original shape. I don't know how to explain C. (I hope this helped and I hope it was correct lol)
Find the volume of this cylinder. Use 3 for .
10 in
V = r2h
11 in
V [?]in
Answer:
825 in^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h where r is the radius and h is the height
We are given the diameter of 10
The radius is 1/2 of the diameter of 1/2 (10) = 5
V = (3) * (5)^2 * 11
V = 3( 25)*11
= 825 in^3
Answer: 825 in³
Step-by-step explanation:
Volume = πr²h, where:
π = 3r = 10/2 = 5h = 11Therefore, the volume of this cylinder can be calculated as:
3 · 5² · 11 = 3 · 25 · 11 = 75 · 11 = 825 in³
.Sayad bought a watch and sold to Dakshes at 10% profit. Dakshes again sold it to shayata for rs 6050 at 10% profit.
find the cost price of Dakshes.
find the cost price of Sayad.
Answer:
Step-by-step explanation:
Cost Price Dakshes:
SP = ₹ 6050
Profit = 10 %
[tex]CP = \frac{100}{100+profit}*SP\\\\=\frac{100}{110}*6050\\\\= 5500[/tex]
CP of Dakshes = ₹5500
Cost price of the watch for Dakshes is the selling price for Sayad
Sayad:
SP = ₹ 5500
Profit 10 %
[tex]CP =\frac{100}{110}*5500\\\\[/tex]
= ₹5000
CP of Dayad = ₹ 5000
Can someone help me with this math homework please!
Answer:
-2,4.39,-32
Step-by-step explanation:
1. 0
2.4.39
3. -32
Here is your answer
Please help me answer this question.
Answer:
total candy = 54 bags
y=17
x=37
Step-by-step explanation:
5x + 4y = 253
x-y = 20
x = 20+y
5(20+y) + 4y = 253
100 + 9y = 253
9y = 153
y=17
x=37
Find the distance between the
following points using the
Pythagorean theorem: (5, 10)
and (10, 12)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
*Note:
The distance formula is derived from the Pythagorean Theorem.
Step 1: Define
Identify
Point (5, 10)
Point (10, 12)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{5^2 + 2^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25 + 4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]7.
During the month of December, the low temperature was - 23° F and the high temperature was
-2° F. What is the range of December temperature?
Answer:
I think around 15°c
Step-by-step explanation:
PLEASE accept me in brainly
what is approximately unit price for 1 g of organic green seedless grapes if it costs 6.49 for 400g?
Answer:
according to my equation it is 61.6
GIVE FULL STEP BY STEP OF THIS MATHS WORD PROBLEM
Sohanlal is a gardener. He is paid ₹160 daily, find how much money will he
get in the month of September?
Answer:
Step-by-step explanation:
days in september=30
salry paid per day=Rs.160
salary paid in 30 days=160×30=Rs.4800
Answer:
4800
Step-by-step explanation:
In the month of September there are only 30 days. So assuming Sohanlal works the entire month of September we will multiply how much he makes daily which is 160 times the amount of days he works which is 30. this will look like this:
160 × 30 = 4800
SOMEONEEEE PLEASEEE HELPPPP ME OUTTTT I DONT NEED EXPLAINING I NEED THE ANSWER
Answer:
26 degrees
Step-by-step explanation:
[tex] \frac{ \sqrt{19} }{ \sin(x) } = \frac{10}{ \sin(90) } [/tex]
[tex] \frac{ \sin(x) }{19} = \frac{1}{10} [/tex]
[tex] \sin(x) = \frac{\sqrt{19} }{10} [/tex]
Take the sin inverse
we get 26 degrees
You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed
Answer:
625 ft^2
Step-by-step explanation:
Given
[tex]P = 100[/tex] --- perimeter
Required
The largest area
The perimeter is calculated as:
[tex]P = 2 * ( L + W)[/tex]
So, we have:
[tex]2 * ( L + W) = 100[/tex]
Divide both sides by 2
[tex]L + W = 50[/tex]
Make L the subject
[tex]L = 50 - W[/tex]
The area is calculated as:
[tex]A= L * W[/tex]
Substitute [tex]L = 50 - W[/tex]
[tex]A= (50 - W) * W[/tex]
Open bracket
[tex]A = 50W - W^2[/tex]
Differentiate with respect to W
[tex]A' = 50 -2W[/tex]
Set to 0; to get the maximum value of W
[tex]50 - 2W = 0[/tex]
Collect like terms
[tex]-2W = -50[/tex]
Divide by -2
[tex]W = 25[/tex]
So, the maximum area is:
[tex]A = 50W - W^2[/tex]
[tex]A = 50 * 25 - 25^2[/tex]
[tex]A = 1250 - 625[/tex]
[tex]A = 625[/tex]
