Explanation:
The question requires that we resolve the question using the combination technique
\(^8C_5\)The general combination formula is given by
\(^pC_r=\frac{p!}{r!(p-r)!}\)Therefore
Applying the formula, we will have
\(^8C_5=\frac{8!}{5!\times3!}=\frac{8\times7\times6\times5!}{5!\times3\times2}\)Simplifying further
\(\begin{gathered} ^8C_5=8\times7 \\ ^8C_5=56 \end{gathered}\)Therefore, the answer is 56
PLEASE HELP!!!
A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.
Answer:
$325.50
Step-by-step explanation:
1) 210÷100 = 2.1
2.1×55 = 115.5
210 + 115.5 = 325.5
2) 210×55 = 11550
11550÷100 = 115.5
210 + 115.5 = 325.5
ferds basement is flooded. the basement is 3.4 metes below the ground floor the water is 1.2 meters high
Answer:
The untouched space in the basement is the upper 2.2 meters.
Step-by-step explanation:
The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?
Answer:
P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.
Step-by-step explanation:
The slope of a line is 1/2, One point on the line is (-2, 5). What is another point on the line?
Answer:
I don't know maybe you research?
Step-by-step explanation:
How do i solve this? and what’s the answer?
Answer:
x = 18
Step-by-step explanation:
The line joining 2 midpoints of the non parallel sides of a trapezoid is 1/2 the sum of the two parallel lines.
Put in much simpler language XY = 1/2 (BC + AD)
4x - 2 = 1/2 (6x + 1 + x) Combine the right
4x - 2 = 1/2 (7x + 1) Multiply by 2
8x - 4 = 7x + 1 Add 4 to both sides
8x = 7x + 5 Subtract 7x
x = 5
But what you want is the length of XY
XY = 4x - 2 = 4*5 - 2 = 18
Sorry I noticed too late that I used x for s. The answer would still be 18.
70 points!!!!!!!!!!
Rewrite y=2(1.06)9t in the form y=a(1+r)t or y=a(1−r)t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
The function is an exponential growth function
How to determine the type of the functionThe function is given as
y=2(1.06)^9
We can begin by rewriting the given equation as:
y = 2 * 1.06t
So, we have
y = 2 * (1 + 0.06)^t
Now we can see that the equation is in the form y = a*b^t,
where a = 2 and b = 1.06^9
This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.
We can re-write it in the form y = a(1+r)t,
we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.
so we have y = 2(1+0.06)^t
So, the equation represents exponential growth with a = 2 and r = 0.06
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-7x-3=12 what is the answer to this question??.
For breakfast, Sara can choose from oatmeal, cereal, toast, or eggs.
She thinks that if she selects a breakfast at random, it is likely that it will be oatmeal.
Is she correct?
Explain your reasoning.
Hey Buddy I am here to help!
No she is not correct because there r four individual options and all four options r equal in proportion... oatmeal is equal to the rest... in mathematical form -
outcomes - 4
higher probability - none
lower probability- none
probabilty of oatmeal - 1/4
Hope it helps!
Plz mark me brainliest !
pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!
Answer:
second question answer is b 2400
Step-by-step explanation:
1st Question answer
A. y² + 12y + 35
2nd question answer
B. 2400
3rd question answer
D. 108 sq. cm
4th question answer
D. 5mn + 3
5th question answer
A. 12x^4y^4
plz solve for brainlyest
Answer:
1.80
Step-by-step explanation:
HELP WILL MARK BRAINLEST
no files nd no pictures
Answer:
6xsquared +9x + 12pls answer this!!!
worth 30 points
find the circumference of a circle with d=97cm diameter
round to 3 significant figures
The circular is around 305 cm in circumeference.
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle.
Substituting d = 97 cm and using the value of π to be 3.14159, we get:
C = πd
C = 3.14159 × 97 cm
C ≈ 304.731 cm
Rounding this to 3 significant figures, we get:
C ≈ 305 cm
Therefore, the circumference of the circle is approximately 305 cm.
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THIS IS DUE IN 5 MINUTES I WILL GIVE BRAINLIST ASAP! The table below shows the cost of downloading songs from a website.
Number of songs 6 the total cost of it is 3.78 If c represents the total cost in dollars and cents for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context.
Answer:
c = 0.63(s)
Step-by-step explanation:
brainliest please<3
Find the missing dimension of the following parallelogram.
base= 16 ft
Area=336 sq. ft
Answer:
21 (PLEASE GIVE BRAINLIEST)
Step-by-step explanation:
we have the base, but we need the height
we will find it using the area:
height = 336 / 16 = 21
if CD is parallel to BE, DC = 4x - 11, BE = 6, AD = 15, and ED = 4, find x. Round to the nearest tenth if necessary.
The value of x is approximately 8.4.To find the value of x, we can use the fact that CD is parallel to BE to establish a relationship between the corresponding sides of the two triangles formed.
Based on the given information, we have:
DC = 4x - 11
BE = 6
AD = 15
ED = 4
Using the corresponding sides in the triangles, we can set up a proportion:
AD/ED = CD/BE
Substituting the known values:
15/4 = (4x - 11)/6
Now we can cross-multiply to solve for x:
6 * 15 = 4 * (4x - 11)
90 = 16x - 44
Adding 44 to both sides:
134 = 16x
Dividing both sides by 16:
x = 8.375
Rounded to the nearest tenth, x ≈ 8.4.
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You are a first-year police officer in NYC. You make $3,541.67 monthly. Next year, you are given a raise to 47,000. How much more per month will you earn your second year.
Answer:
374.99 or rounded up to 375
Step-by-step explanation:
First we need to take 47,000 and divide it by 12 to find the monthly income.
47,000/12 is 3916.66
now subtract 3541.67 from 3916.66
Determine whether the series converges or diverges...
Answer:
Convergence
Step-by-step explanation:
Use the Squeeze Theorem,
I know that
\( \frac{k \sin {}^{2} (k) }{1 + k {}^{3} } \)
lies between 0 and 1 so
\(0 \leqslant \frac{k \sin {}^{2} (k) }{1 + {k}^{3} } \leqslant \frac{k}{1 + k {}^{3} } \)
The final series behaves like
\( \frac{1}{k {}^{2} } \)
Using the p series, since p is 2, the series
\( \frac{k}{1 + k {}^{3} } \: converges\)
Since the 0 and k/1+k^3 converges, the series converge.
Convergence
Find the mean of the following numbers; 7 21 2 17 3 14 7 4 9 7 9
Answer:
9
Step-by-step explanation:
2,3,4,7,7,7,9,9,14,17,21
21,17,14,9,9,7,7,7,4,3,2
3,7,7,7,9,9,17,21
Step-by-step explanation:
mean = sum ÷ numbers
= 100 ÷ 11
= 9.09
_________________FOLLOW MEWhat is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
\(\frac{(-2*24)/3+(7*24)/8}{24}\)=
\(\frac{-2*24/3+7*24/8}{24}\)=
\(\frac{-2*8+7*3}{24}\)=
\(\frac{-16+21}{24}\)=5/24
Please Help! I'm lost, in a maze and I can't find my way out.
find the quotient of -7/5÷-9/5
Answer:
7/9
Step-by-step explanation:
-7/5÷-9/5
- cancelled with each other
(7×5)/(9×5)
5 also cancelled with 5
then your answer is 7/9
One interpretation of a baseball player's batting average is as the empirical probability of getting a hit each time the player goes to bat. If a player with a batting average of 0.2560.256 bats 55 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least on hit in the game
Answer:
The probability of getting at least one hit in 5 games is 0.772
Step-by-step explanation:
The correct question is as follows;
One interpretation of a baseball player's batting average is as the empirical probability of gettig a hit each time the player goes to bat. If a player witt a batting average of 0.256 bats 5 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least one hit in the game?
We proceed with the answer as follows;
Here, we want to calculate the probability of a player with a certain batting average getting at least one hit in a game if he bats 5 times
Mathematically, Probability of getting at least one hit in 5 games = 1 - Probability of getting no hit in 5 games
Let p = probability of getting hit in a game = 0.256
q = Probability of getting no hit in a game = 1-0.256 = 0.744
So the probability of getting no hits in 5 games will be 0.744^5 = 0.228
Thus, the probability of getting at least one hit in the 5 games = 1 - 0.228 = 0.772
Find the sum: -5 + 13 =
Answer:
it is 8
Step-by-step explanation:
I'm just smart when it comes to maths
Answer:
answer =+8
Step-by-step explanation:
or,-5+13
or,+8
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
A submarine is descending at a rate of 7 feet per second.
A 2-column table with 4 rows. Column 1 is labeled Seconds with entries 1, 2, 3, 4. Column 2 is labeled Feet with entries 7, 14, 21, 28.
Which statements are true? Select all that apply.
The number of seconds causes a change in the number of feet the sub descends.
The number of feet the sub descends causes a change in the number of seconds.
The equation is f = 7s.
The equation is s = 7f.
As the number of seconds increases, the number of feet the sub descends increases.
Answer:
A C E
Step-by-step explanation:
i got it right on edge :)
Answer:
A, C, E
Step-by-step explanation:
Just look at the person above no need to scroll down
Write 2^60 as an exponent with a base of: b 16
Answer:
im pretty sure you tried to say
Write 2^60 as an exponent with a base of:
a) 8
b) 16
c) 32
the answer is :
8^20 (eight to the twentieth power)
\(2^{60}\) is equivalent to \(16^{15}\).
We can rewrite the expression by means of the following power property, that is to say:
\(a^{b\cdot c} = (a^{b})^c\), \(a, b, c\in \mathbb{N}\) (1)
Where \(a\) and \(a^{b}\) are bases.
If we know that \(a = 2\) and \(b\cdot c = 60\), then the equivalent expression is:
\(2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}\)
Hence, \(2^{60}\) is equivalent to \(16^{15}\).
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(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!
I give you 10 pts
Answer:
\(\huge\boxed{\bf\:62}\)
Step-by-step explanation:
\((9*7) + 7 - 8 = ?\)
We can solve this by using the PEMDAS concept where,
P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = SubtractionSo, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).
\((9*7) + 7 - 8\\= (63) + 7 - 8\)
Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).
\((63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8\)
Now, subtract 8 from 70 .
\(70 - 8\\= \boxed{\bf\:62}\)
\(\rule{150pt}{2pt}\)
round 10,345 to the nearest hundred
Answer:
10300
Step-by-step explanation:
the number 4 which is right after the hundred column is not up to 5 therefore it can it change the number.
The temperature of a freezer started at 18ºC. After cooling for a few hours, the freezer had a temperature of –12ºC. What is the difference between the new, colder temperature and the original temperature?
Negative 12 minus 18
Negative 12 minus (negative 18)
18 minus 12
18 + (negative 12)
Answer:
Its a
Step-by-step explanation:
took the test egde 2021
The difference between the new, colder temperature and the original temperature is 30 ° C.
What is temperature ?"Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature). Temperature is not the equivalent of the energy of a thermodynamic system; e.g., a burning match is at a much higher temperature than an iceberg, but the total heat energy contained in an iceberg is much greater than the energy contained in a match. Temperature, similar to pressure or density, is called an intensive property—one that is independent of the quantity of matter being considered—as distinguished from extensive properties, such as mass or volume."
Given,
The old temperature is = 18°C
The new temperature is = -12°C
The difference in temperature is \((-12\°C - 18\°C) = 30\°C\)
Hence, A is the correct option.
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