This is one single number. The number is slightly larger than 163 thousand.
====================================================
Explanation:
Consider four slots labeled A,B,C,D
We have....
46 choices for slot A45 choices for slot B44 choices for slot C43 choices for slot DThere's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.
If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.
However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185
This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.
When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
15. Which of the following is a rational number?
O A.V-
O B. 18
O C. T (3.141592...)
OD.3.59
Answer:
c
Step-by-step explanation:
non terminating recurring. i think option c must be the answer
HELP ASAP I WILL GIVE BRAINLIST
Find the length of an arc of a circle with a 8-cm radius associated with a central angle of 240 degrees. Give your answer in exact and approximate form to the nearest hundredth. Show and explain your work
Answer:
33.51 cm
Step-by-step explanation:
240/360 = 2/3 (Arc length is 2/3 of the total circumference)
C = 2[tex]\pi[/tex]r ( Calculate the total circumference)
C = 2(8)[tex]\pi[/tex]
C = 50.265
2/3(50.265) (Take 2/3 of the circumference. times 2 divide by 3)
33.51
Use a calculator and leave the answer to C and then multiply and divide. You get a more precise answer.
The exact arc length is [tex]\frac{32\pi}{3}[/tex] radians.
The arc length in approximate form is 33.49 radians.
What is the formula for arc length?[tex]s = r\times \theta[/tex]
where r is the radius of the circle and [tex]\theta[/tex] is the central angle in radians.
How to convert angle from degrees to radians?Radians = Degrees ×[tex]\frac{\pi}{180^{\circ}}[/tex]
For given question,
We have been given a circle with a 8-cm radius associated with a central angle of 240 degrees.
[tex]r=8~cm,~\theta=240^{\circ}[/tex]
First we convert angle in radians.
[tex]\theta=240^{\circ}\\\\\theta=240^{\circ} \times \frac{\pi}{180^{\circ}}\\\\ \theta=\frac{4\pi}{3}[/tex]
Using the formula of the arc length,
[tex]s=8\times \frac{4\pi}{3} \\\\s=\frac{32\pi}{3}[/tex]
The exact answer of the arc length is [tex]s=\frac{32\pi}{3}[/tex]
Substitute the value of [tex]\pi = 3.14[/tex]
So, the arc length would be,
[tex]\Rightarrow s=\frac{32\times \pi}{3}\\\\\Rightarrow s=\frac{32\times 3.14}{3}\\\\\Rightarrow s=33.49[/tex]radians
Therefore, the exact arc length is [tex]\frac{32\pi}{3}[/tex] radians.
the arc length in approximate form is 33.49 radians.
Learn more about the arc length here:
https://brainly.com/question/16403495
#SPJ2
Find the equation of the line passing through (3,5) with a slope of 1
WILL GIVE BRAINLIEST
Slope-intercept form:
y = x + 2
Point-slope form:
y − 5 = 1 ⋅ ( x − 3 )
I hope this is correct and helps!
find the rate of change of volume of a cone if dr/dt is 3 in./min. and h=4r when r = 8 inches
Answer:
[tex]v = \frac{1}{3}bh[/tex]
since base is pi r^2
[tex]v = \frac{1}{3} \pi \: r {}^{2} h[/tex]
it's given that h=4r
[tex]v = \frac{1}{3} \pi \: r^{2} (4r) = \frac{4}{3} \pi \: {r}^{3} [/tex]
now find derivative
[tex] \frac{dv}{dt} = 4\pi \: r {}^{2} [/tex] × dr/dt
r=8 , dv/dt = 3
dv/dt = 4pi (8)^2 ×3 = 768pi
Answer:
768 pi in^3/min
Step-by-step explanation:
Volume of cone=1/3 pi×r^2×h
Differentiating this gives:
dV/dt=1/3×pi×2r dr/dt×h+1/3×pi×r^2×dh/dt
We are given the following:
dr/dt = 3 in./min.
h=4r when r = 8 inches
If h=4r then dh/dt=4dr/dt=4(3 in/min)=12 in/min
If h=4r and r=8 in, then h=4(8)=32 in for that particular time.
Plug in:
dV/dt=1/3×pi×2r dr/dt×h+1/3×pi×r^2×dh/dt
dV/dt=1/3×pi×2(8)(3)×32+1/3×pi×(8)^2×12
dV/dt=pi×2(8)(32)+pi×(8)^2(4)
dV/dt=pi(256×2)+pi(64×4)
dV/dt=pi(512)+pi(256)
dV/dt=pi(768)
dV/dt=768pi
dV/dt=768/pi in^3/min
sum of first n terms of an ap sequance is 3n2+5n.what is the sum of its first n+1 terms.find the sum of its first 10 terms.
Answer:
a) 3n^2 + 11n + 8
b) 350
Step-by-step explanation:
10) 3(10^2)+ 5*10 = 350
n+1) 3(n+1)^2 + 5(n+1)
3(n^2 + 2n + 1) + 5n+5
3n^2 + 6n+3 + 5n + 5
3n^2 + 11n + 8
Pls help quick. (Geomery question)
Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?
Answer:
Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?
yesStep-by-step explanation:
#CarryOnLearning
How would you write 8^5 as a multiplication expression?
Answer:
8 * 8 * 8 * 8 * 8
Step-by-step explanation:
8^5 is basically 8 times itself five times.
Find the area of the quadrilateral.
Answer:
320 cm²
Step-by-step explanation:
If 3 units = 12cm
Then 1 unit = 12/3 = 4cm
Formula for Area Trapezoid = height*(base1+base2)/2
Base 1 = 12
Base 2 = 7 * 4 = 28
12 + 28 = 40
40 * (4*4) = 40 * 16 = 640
640 / 2 = 320
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Yes again but pls if you don’t know don’t answer.
Answer:
90deg +20deg.
Step-by-step explanation:
Angle RST can be broken down into RSQ and QST, whose measures are 90 deg and 20 deg, respectively. So you just add up the two parts to get the whole.
Hope this helps!
Find the area of the geometric figure.
3 yd
3 yd
Traperoid
7 yd
Step-by-step explanation:
The question isn't clear, so I'll just give you a formula to find the area of trapezoid,
(a+b)*h/2, where a = base side, b = top side, h = height.
So, let's say two sides are 3 yd and 7 yd, and height is 3 yd, so the area becomes,
(3+7)*3/2
= 10*3/2
= 30/2
= 15 yd²
Answered by GAUTHMATH
Anne plans to increase the prices of all the items in her store but 5%. To the nearest cent how much will an artist saved if the artist buys a canvas and a frame that each measures 24 by 36 in before the price increase goes into effect. 24/36 canvas price 22.80 and the frame price is 89.98
9514 404 393
Answer:
5.64
Step-by-step explanation:
The increase in price for the given items will be ...
5% × (22.80 + 89.98) ≈ 5.64
The artist will save 5.64 by making a purchase before the price increase.
One jar holds 20 green marbles and 4 white marbles. A second jar holds 60 black marbles and 20 white marbles. What is the probability that a white marble will be drawn from both jars?
Answer:
[tex]\sf \dfrac{1}{24}=0.0417=4.17\%\:\:(3\:s.f.)[/tex]
Step-by-step explanation:
Given information:
Contents of Jar 1:
20 green marbles4 white marblestotal marbles = 20 + 4 = 24Contents of Jar 2:
60 black marbles20 white marblestotal marbles = 60 + 20 = 80Probability Formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore:
[tex]\sf P(white\:marble\:from\:Jar\:1)=\dfrac{4}{24}=\dfrac{1}{6}[/tex]
[tex]\sf P(white\:marble\:from\:Jar\:2)=\dfrac{20}{80}=\dfrac{1}{4}[/tex]
As the events are independent (i.e. drawing a marble from one jar does not influence or affect drawing a marble from the other jar), we can use the independent probability formula:
[tex]\sf P(A\:and\:B)=P(A) \cdot P(B)[/tex]
Therefore, the probability that a white marble will be drawn from both jars is:
[tex]\sf P(white\:marble\:from\:Jar\:1)\:and\:\sf P(white\:marble\:from\:Jar\:2)=\dfrac{1}{6} \cdot \dfrac{1}{4}=\dfrac{1}{24}[/tex]
#Jar 1
Total marbles =20+4=24
P(w)
4/24=1/6#Jar 2
Total marbles=60+20=80
P(w)
20/801/4P(w in total)
1/4(1/6)1/24Hello friends!
Can anyone of you solve this?
so please solve
Step-by-step explanation:
each point should be at a 2. the center is 0,0
What is the least possible degree of a polynomial that has roots -5,1 + 4i, and -4i?
3
2
5
4
Without any extra conditions, the answer could be 3, and the simplest polynomial with the given roots would be
(x + 5) (x - (1 + 4i )) (x + 4i )
= x ³ + 4x ² + (11 - 4i ) x + 80 - 2i
If the polynomial is supposed to have only real coefficients, then any complex roots must occur along with their complex conjugates:
(x + 5) (x - (1 + 4i )) (x - (1 - 4i )) (x + 4i ) (x - 4i )
= x ⁵ + 3x ⁴ + 23x ³ + 133x ² + 112x + 1360
and then the degree would be 5.
22/24 Marks
51%
The diagram shows a star made by surrounding a
regular octagon with triangles.
Explain why angle a must be 135º.
+
I
Answer:
Step-by-step explanation:
shape Sides Sum of interior angles Each Angle
Triangle 3 180° 60°
Quadrilateral 4 360° 90°
Pentagon 5 540° 108°
Hexagon 6 720° 120°
Heptagon 7 900° 128.57...°
Octagon 8 1080° 135°
Nonagon 9 1260° 140°
answer please I’m dying from math
Answer:
B
substract the variables
What is the area of the trapezoid?
176 cm2
192 cm2
208 cm2
224 cm2
Answer:A. This is the formula for the area of a trapezoid: a+b/2 x height (a and b being the bases)
Step-by-step explanation: Use the formula. 10+12=22. 22/2 is 11. 11 x 16 is 176. Therefore, the answer is A.
A film distribution manager calculates that 9% of the films released are flops. If the manager is right, what is the probability that the proportion of flops in a sample of 469 released films would be greater than 6%
Answer:
0.9884 = 98.84% probability that the proportion of flops in a sample of 469 released films would be greater than 6%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A film distribution manager calculates that 9% of the films released are flops.
This means that [tex]p = 0.09[/tex]
Sample of 469
This means that [tex]n = 469[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.09[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.09*0.91}{469}} = 0.0132[/tex]
What is the probability that the proportion of flops in a sample of 469 released films would be greater than 6%?
1 subtracted by the p-value of Z when X = 0.06. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.06 - 0.09}{0.0132}[/tex]
[tex]Z = -2.27[/tex]
[tex]Z = -2.27[/tex] has a p-value of 0.0116
1 - 0.0116 = 0.9884
0.9884 = 98.84% probability that the proportion of flops in a sample of 469 released films would be greater than 6%.
equivalent fraction of 9/11
Answer:
1822
Step-by-step explanation:
The fraction 1822 is equal to 911 when reduced to lowest terms.
18
22
is equivalent to 9
11
because 9 x 2 = 18 and 11 x 2 = 22
27
33
is equivalent to 9
11
because 9 x 3 = 27 and 11 x 3 = 33
36
44
is equivalent to 9
11
because 9 x 4 = 36 and 11 x 4 = 44
Answer:
18/22
Step-by-step explanation:
You can choose any number and if you multiply the top number (numerator) and the bottom number (denominator) by that same number, the fractions are equivalent.
If you choose the number 2, then multiply 9 x 2 = 18, and 11 x 2 = 22
Or multiply by 7. Then you would get an equivalent fraction of 63/77
What does p(B/A) represent?
Answer:
I believe you're asking about P(B|A).
Step-by-step explanation:
So,
P(B|A) represents the probability of event B occurring after it is assumed that event A has already occurred.
P(B|A) means "Event B given Event A" . In other words, event A has already happened, now what is the chance of event B? P(B|A) is also called the "Conditional Probability" of B given A.
Evaluate the expression for a=3, b=1/2, and c=4
8ab/2bc
870,640 rounded to the nearest ten thousand
Answer: 870,000
Step-by-step explanation: First find the digit in the rounding place
which in this case is the 7 in the ten thousands place.
Next, we look at the digit to the right of the 7, which is 0.
According to the rules of rounding, if the digit to the right
of the rounding place is less than 5, we round down.
So the 7 in the rounding place stays the same
and all digits to the right of the become 0.
So 870,640 rounded to the nearest ten thousand is 870,000.
Help please
The cost, c(x), for parking in a hospital lot is given by c(x) = 5x + 3.00, where x is the number of hours. What does the slope mean in this situation?
Answer:
The slope is the cost per hour.
$5 per hour
Which equation represents the line that passes through points (1, –5) and (3, –17)?
Answer:
equation : y= -6 + 1
Step-by-step explanation:
Can someone just check my answers please? Please let me know which questions are wrong. Thank you for your time.
Answers:
1 liter of acid4 liters of waterYou got the first question correct, but the second one is wrong. The two values must add up to 5.
===================================================
Explanation:
We're told that 20% of this solution is acid. We have 5 liters total, so
20% of 5 = 0.20*5 = 1
Meaning there's 1 liter of pure acid in this solution.
The remaining 5-1 = 4 liters of the solution is water
Or you could note that if 20% is pure acid, then the remaining 80% is water
80% of 5 = 0.80*5 = 4
------------------
Another approach is to realize that 20% is the same as the fraction 1/5
So if 1/5 of the mix is pure acid, and we have 5 liters of the solution, then we must have 1 liter of pure acid
(1 liter of pure acid)/(5 liters of solution) = 1/5 = 20% acid solution
Answer:
I think they all look pretty good for the most part
In which month was the peak, the largest deposit, made?
A histogram titled Savings Account Deposits has Months on the x-axis and amount deposited on the y-axis. January is 50 dollars; February is 80 dollars; March is 110 dollars; April is 100 dollars: May is 95 dollars; June is 250 dollars; July is 320 dollars; August is 300 dollars; September is 80 dollars.
January
June
July
August
Your answer is July.
From least to greastest:
January: $50
February: $80
September: $80
May: $95
April: $100
March: $110
June: $250
August: $300
July: $320
I hope this helps!
The month that had the largest deposit is the month of; July
How do you Interpret a Histogram?
From the given histogram with savings account on the x-axis and amount deposited on the y-axis, we can see the following amounts deposited for each month as follows;
January = $50February = $80March = $110April = $100May = $95June: $250July: $320August: $300September: $80The month with the largest deposit is clearly July
Read more about Histograms at; https://brainly.com/question/25983327
Round 36.319 to the nearest tenth
It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the distance traveled.
Answer:
85 mi
Step-by-step explanation:
Let d = the distance in miles traveled
Let M = the time in hours for Maria to travel d miles
[tex]m+\frac{3}{4} =[/tex] time in hours for Ricky to travel d miles
(Note that [tex]\frac{3}{4}[/tex] hrs = 45 min)
----------------------
Maria's equation:
d = 51m
Ricky's equation:
d = 24 · [tex](m+\frac{3}{4} )[/tex]
----------------------
Substitution:
51m = 24 · [tex](m+\frac{3}{4} )[/tex]
51m = 24m + 45
6m = 10
m = [tex]\frac{5}{3}[/tex]
----------------------
d = 51m
d = 51 · [tex](\frac{5}{3})[/tex]
d = 85
----------------------
The distance traveled is 85 mi
If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles
Speed and distancesSpeed is the ratio of distance traveled to time taken. Mathematically:
Distance = Speed/Time
According to the given question:
Let d be the distance in miles traveledLet M be the time in hours for Maria to travel d milesLet the required time in hours for Ricky to travel be d milesSet up the Maria equation:
d = 51m
Set up Ricky's equation:
d = 24 · (m+3/4)
Substitute
51m = 24 · (m+3/4)
51m = 24m + 45
6m = 10
m = 5/3
Determine the required distance
d = 51m
d = 51 · 5/3
d = 85
Hence the distance traveled is 85 mile
Learn more on distance and speed here: https://brainly.com/question/26046491
suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?
NO LINKS OR ANSWERING YOU DON'T KNOW.
a. 3
b. 12
c. 6
d. 24
Answer:
C. 6
Step-by-step explanation:
Recall that inverse variation is given by:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
We know that y = 48 when x = 3. Substitute:
[tex]\displaystyle (48)=\frac{k}{(3)}[/tex]
Solve for k:
[tex]k=3(48)=144[/tex]
Hence, our equation is:
[tex]\displaystyle y=\frac{144}{x}[/tex]
We want to find x when y = 24. Substitute:
[tex]\displaystyle \frac{24}{1}=\frac{144}{x}[/tex]
Cross-multiply:
[tex]24x=144[/tex]
Divide both sides by 24. Hence:
[tex]x=6[/tex]
Our answer is C.