Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
For the above questions we apply that combination formula
(a) How many are there to select 2 pairs of gloves?
There are 5 pairs of gloves according to the question above, hence:
5C2 = 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1
= 10 ways.
Therefore, there are 10 ways to select 2 pairs of gloves
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
i) A way to select 4 gloves out of 10 gloves =
10C4 = 10!/4! ×(10 - 4)!
= 10!/ 4! × 6!
= 210 ways
ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:
5 × 2⁴
= 80 ways.
Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways
= 130 ways
What is the chemical formula for silver sulfate
Answer:
chemical formula for silver sulfate Ag2SO4
Answer:
Ag2SO4
Step-by-step explanation:
..............
HELP ASAP ROCKY!!! will get branliest.
Mike bought 1/3 of a pound of cashews and 1/5 of a pound of
peanuts. How much money did he spend?
peanuts
$5.00
cashews
$12.00
pecans
$7.00
Answer:
5.00 +12.00=17.00
Step-by-step explanation:
specify whether the money is in pounds like $12 for a pound of cashews I can't tell what you need
find the variable
1) 3x +25= 2x
Given: angle 1 and angle 2 form a linear pair; angle 1 and angle 3 are supplementary
Prove: angle 2 is congruent to angle 3
Answer:
Step-by-step explanation:
1.) angle 1 and angle to form a linear pair (given)
2.) angle 1 and 2 are supplementary (supplement theorem)
3.) measure of angle 1 + measure of angle 2 = 180 degrees (def. of supplementary angles)
4.) angle 1 and 3 are supplementary (given)
5.)measure of angle 1 + measure of angle 3 = 180 degrees (def. of supplementary angles)
6.) measure of angle 1+ measure of angle 2 = measure of angle one + measure of angle 3 (congruent supplements theorem)
7.) measure of angle 2 = measure of angle 3 (subtraction property of equality)
8.) angle 2 is congruent to angle 3 (definition of congruence)
Write 9.12 as a repeating decimal into a mixed number in its simplest form
Answer:
9 4/33.
Step-by-step explanation:
0.12 repeating = 12/99
= 4/33.
Convert 43/7 into a proper fractions show work?
Step-by-step explanation:
Hey, there!!
[tex] = \frac{43}{7} [/tex]
Divide 43 by 7.
you will get quotient as 6 and remainder is 1.
so,
The proper fraction is:
[tex] = 6 \frac{1}{7} [/tex]
Hope it helps...
First must do the division:
43 : 7 = 6 with 1 of rest
so 43 = 6 * 7 + 1
with the denominator:
[tex]\frac{43}{7} = \frac{6*7+1 }{7}[/tex]
[tex]\frac{43}{7} = \frac{6*7 }{7}+\frac{1}{7}[/tex]
semplify:
[tex]\frac{43}{7} = 6+\frac{1 }{7}[/tex]
7w+6-3w
Please help
I don’t understand how to do this
Answer:
4w + 6
Step-by-step explanation:
Group like terms
7w - 3w + 6 = 4w + 6
Hope this Helps :)
In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 represent 1991, and so on. Find values for a and b so that f ( x ) = a x + b models the data A= _____. B=______. What was the average family income in 2005?
Answer:
[tex]f(x) = 1588.4x + 39000[/tex]
[tex]f(15) = 62826[/tex]
Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
[tex]a = \frac{70768 - 39000}{20 - 0}[/tex]
[tex]a = \frac{31768}{20}[/tex]
[tex]a = 1588.4[/tex]
Next, is to determine the formula using:
[tex]y - y_1 = a(x - x_1)[/tex]
Considering :When x = 0; y = 39000, we have
[tex]y - 39000 = 1588.4(x - 0)[/tex]
[tex]y - 39000 = 1588.4x[/tex]
Make y the subject of formula
[tex]y = 1588.4x + 39000[/tex]
Express y as a function of x
[tex]f(x) = 1588.4x + 39000[/tex]
Solving (b): Income in 2005
In 2005, x = 15
So:
[tex]f(x) = 1588.4x + 39000[/tex] becomes
[tex]f(15) = 1588.4 * 15 + 39000[/tex]
[tex]f(15) = 62826[/tex]
HELP PLEASE!!! Please answer them, you don't have to do all just the one you know!! Please and thank you!!!
Give another name for line r
Answer:
line AC
Step-by-step explanation:
because those are two points along line r
it can't be line AB because that would make it a line segment
Answer:
Line ac
Step-by-step explanation:
How many ones are in 600
There are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have a number:
= 600
We can write it as:
600 = 600 + 00 + 0
Number hundreds tens ones
There are 0 ones in the number 600.
Thus, there are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0
Learn more about the number here:
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1
Molly bought a recliner on sale for
off. The original price was $1, 299.99. How much did she save?
3
What did Molly pay for the recliner?
Answer:
1/3 is 33.33%
1299.99 x 33.33 =433.286
1299.99 - 433.286= 866.704
Step-by-step explanation:
$866.704 is what she paid
Discount was $433.286
Find the slope on the graph
What is the measure of angle C?
Answer:
<c=152°
Step-by-step explanation:
We know that A and B are equal because it's an isosceles triangle.
x-14=x/2
2(x-14)=x
2x-28=x
x=28
<A=x-14=28-14=14
<B=x/2=28/2=14
<C=180-14-14=152°
pleaseeee help me with this!!
it’s more than one answer choice
Answer:
2nd option= 0.5608
3rd option=0.5608
6th option=0.5608
7th option=0.5608
m∠1 = _° A.30 B.50 C.65
Answer:
0.5(100-30) = 35
That's why M∠1 = 35°
Hoped this helped
What is the reflection in the x-axis & what’s the reflection in line y=x?
Answer:
a) (3, -4), (2, 4), (-5, -6)
b) (4, 3), (-4, 2), (6, -5)
Step-by-step explanation:
a) Reflection in the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y)
(3, 4) ⇒ (3, -4)
(2, -4) ⇒ (2, 4)
(-5, 6) ⇒ (-5, -6)
__
b) Reflection in the line y=x swaps the x- and y-coordinates:
(x, y) ⇒ (y, x)
(3, 4) ⇒ (4, 3)
(2, -4) ⇒ (-4, 2)
(-5, 6) ⇒ (6, -5)
SHOW WORK !!! I’ll give you BRAINLIST
5.13 x 1.8
4.124 divided by 0.4
Answer:
5.13*1.8=9.234
4.124/0.4=10.31
Step-by-step explanation:
You estimate that the driving distance from Raleigh, NC to Charlotte, NC is around 180 miles. When you looked it up on the internet, you found that the actual distance is only 167.5 miles. What was the relative (percent) error of your estimate? In other words, how far off were you from the actual value?
Answer:
7.5%
Step-by-step explanation:
Approximate distance = 180 miles
Actual distance = 167.5 miles
Percent error = { (approximate value - actual value) / actual value } × 100
= { (180 - 167.5) / 167.5 } × 100
= (12.5 / 167.5) × 100
= 0.075 × 100
= 7.5%
the perimeter of rectangular garden is 64 centimeters .the length of garden is three times the width .find the lenght
Answer:
length= 24cm
Step-by-step explanation:
interpreting the question
L=3w
perimeter=2(l+w)
64=2(3w+w)
64=2(4w)
64=8w, Divide both sides by 8
w= 8cm
since w= 8
L=3w
L=3×8
L=24cm
(1 point) Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red
Complete question:
Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.
a)How many total possibilities are there?
For the rest of the questions, we will assume that the dice are fair and that all the possibilities in (a) are equally likely.
b)What is the probability that the sum on the two dice comes out to be 11?
c)What is the probability that the sum on the two dice comes out to be 7?
d)What is the probability that the numbers on the two dice are equal?
Answer:
Kindly check explanation
Step-by-step explanation:
Total probabilities :
Total possible outcomes on each dice = 6
Total probabilities = 6² = 36
b)What is the probability that the sum on the two dice comes out to be 11?
Total required outcome = 2
Total possible outcomes = 36
Probability = required outcome / Total possible outcomes
P(sum on both dice = 11) = 2 / 36 = 1/18
c)What is the probability that the sum on the two dice comes out to be 7?
Required outcome = 6
Possible outcomes = 36
P(obtaining a sum of 7) = 6/36 = 1/6
d)What is the probability that the numbers on the two dice are equal
= required outcome / possible outcomes
Required outcome = 1,1 ; 2,2; 3,3; 4,4 ; 5,5 ; 6,6
= 6/36 = 1/6
What is the product of -3 1/3 and-8 7/10 ?
Answer:
The answer is 29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
first make into improper fraction then mulityply and then simplify
Felix needs to determine whether x + 3 is a factor of f(x)=−2x4−8x3−2x−63. How can Felix use the factor theorem to determine whether x + 3 is a factor of f(x)? Drag a value, expression, or phrase into each box to correctly complete the statements. Felix evaluates{ } Response area and determines its value to be{ } Response area. Felix concludes that x + 3{ } Response area a factor of f(x)=−2x4−8x3−2x−63.
Answer:
1st Slot: f(-3)
2nd Slot: -3
3rd Slot: is not
Step-by-step explanation:
Using the Remainder Theorem, we plug in the root of x + 3 (which is x = -3) and see the remainder.
If the remainder = 0, it is a factor
If the remainder ≠ 0, it is NOT a factor
f(-3) = -2(-3)⁴ - 8(-3)³ - 2(-3) - 63
f(-3) = -3
So, x + 3 is NOT a factor.
We then have our 3 answers.
What is the opposite of 1/4
Answer:
opposite number of 1/4=-1/4The opposite of the number 1/4 is equal to -1/4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number is 1/4 and the opposite of the number will be calculated as,
The opposite will be the negative value of 1/4.
Positive value = 1/4
Negative value = -1/4
Therefore, the opposite of the number 1/4 is equal to -1/4.
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the radius of a coin is 20 cm, find its surface area. (12.57 cm)
Answer:
Step-by-step explanation:
assume the coin is circular.
i think radius=2.0 cm
∵ 20 cm is too big for a coin.
i have calculated the area of both the surfaces.
area =2×πr²=2×π×2.0²=8 π=8×3.14=25.12 cm²
if only one surface then area=π×2²=4π≈12.57 cm²
Can you please help me answer this question what's a+3
Answer:
a+3
Step-by-step explanation:
You cannot go any further in answering this question. These two terms are not like terms so they cannot be combined. Therefore, the answer is just a+3 itself.
Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers in your answer.
Answer:
The unit vector in component form is [tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex] or [tex]\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j[/tex].
Step-by-step explanation:
Let be [tex]\vec u = (2,-3)[/tex], its unit vector is determined by following expression:
[tex]\hat {u} = \frac{\vec u}{\|\vec u \|}[/tex]
Where [tex]\|\vec u \|[/tex] is the norm of [tex]\vec u[/tex], which is found by Pythagorean Theorem:
[tex]\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}[/tex]
[tex]\|\vec u\| = \sqrt{13}[/tex]
Then, the unit vector is:
[tex]\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)[/tex]
[tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex]
The unit vector in component form is [tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex] or [tex]\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j[/tex].
Encrypt the word TO using an alphabetic Caesar shift cipher with shift 10 (mapping A to K). Use only capital letters in your answer.
Answer:
DY
Step-by-step explanation:
TO ENCRYPT TO USING CAESAR ALPHABETIC SHIFT CIPHER OF 10. THIS MEANS WE'RE EXPECTED TO LOOP EVERY ALPHABET BY 10, SKIPPING EVERYONE TILL WE GET TO THE TENTH.
TO ENCRYPT T, WE HAVE
T = U - V - W - X - Y - Z - A - B - C - D
THEREFORE, T WILL BE ENCRYPTED AS D
TO ENCRYPT O, WE HAVE
O = P - Q - R - S - T - U - V - W - X - Y
HENCE, O WILL BE ENCRYPTED AS Y.
THIS MEANS THAT OUR QUESTION, TO, WILL BE ENCRYPTED AS DY
When you're standing in a pool in the summertime, and your leg looks shorter under the water than in air, this is an example of light O refraction O reflection O resonance. absorption.
Answer:
refraction
Step-by-step explanation:
from the pf quiz
Answer:
refraction
Step-by-step explanation: