There are 7 males and 8 females out of which we 1 male and 1 female is to be selected.
Number of ways to select 1 male from 7 are [tex]^7C_1[/tex].
Number of ways to select 1 female from 8 are [tex]^8C_1[/tex].
So, number of ways to select 1 male and 2 female is :
[tex]n = ^7C_1 \times ^8C_1\\\\n = 56[/tex]
Therefore, total number of ways are 56.
Hence, this is the required solution.
5 3/9 - 2 8/9 simplified
Answer:
2 4/9
Step-by-step explanation:
I need help with this question?
Answer:
[tex]x[/tex]=5
Step-by-step explanation:
82 is what percent of 65.6?
Answer:
125
Step-by-step explanation:
82 percent of 65.6 is 125
Answer:
I hope I got your question correctly.
82% of 65.6 is 54.
Step-by-step explanation:
Consider this equation:
P%=[tex]\frac{x}{y}[/tex]
The value of P% here is 82, which is 0.82 in decimal form.
x is unknown
y is 65.6
Simply cross-multiply 65.6 and 0.82.
The result is 53.8 or 54.
Which system of equations has no solution
If the terminal side of angle A passes through (-5,2) find the value of sec A
Answer:
The value of sec A = - √29/5
Step-by-step explanation:
As the terminal side of angle 'A' passes through (-5,2).
so the angle is in the 2nd quadrant.
We can find the length of the hypotenuse using the Pythagorean Theorem
[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]
[tex]c^2=5^2+2^2[/tex]
[tex]c^2=25+4[/tex]
[tex]c^2=29[/tex]
[tex]c=\sqrt{29}[/tex]
As we know that
cos A = adjacent/hypotenuse
sec A = 1/cosA
= hypotenuse/adjacent
= √29/-5
= - √29/5
Therefore, the value of sec A = - √29/5
Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.
The distance between the points have been calculated.
What is the Distance Formula?The distance formula is used to calculate distance between two points on a coordinate system.
The formula is
[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
AB² = (2-0)²+(4-4)²
AB = 2
FG² = (6-7)²+(1-1)²
FG =1
BC² = (2-2)²+(3-4)²=1
BC = 1
GH² = (6-6)²+(1.5-1)²=0.5
GH = 0.5
DI² = (5-4)²+(2-2)²
DI = 1
HI² = (5-6)²+(2-1.5)² = 1.25
HI = 1.12
DE² = (4-4)²+(0-2)²
DE = 2
IJ² = (5-5)²+(3-2)²
IJ = 1
EA² = (0-4)²+(4-0)²
EA = 5.66
JK² = (7-5)²+(1-3)²
JK = 2.83
The missing data of the question is
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
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The circumference of a circle can be found using the formula C = 2πr.
Which is an equivalent equation solved for r?
Answer:r=C/2π
Step-by-step explanation:
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HELP ME PLEASE!!
Which equation describes this line!!
Answer:
Option A: y-9=2(x-1)
Step-by-step explanation:
Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)
The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.
Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)
B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)
C and D are wrong because the points aren't crossed through
see the picture above please help me thank you
Answer:
C. 0.5
Step-by-step explanation:
If point B is nearest to zero and that far from three, it is going to be 0.5. Not to mention, you can estimate that point is about a half from one.
Answer:
C
Step-by-step explanation:
A - 3.6 is ahead of C, so nope
B - -0.2 is behind A, nope
C - 0.5 works because it seems reasonably distanced (closer to 0 than 3.5)
D - 2 is closer to 3.5, but point b is closer to 0.
Also, if you divide the section between A and C by 7, you can find that 0.5 works because it should be the first section of 0.5
6*9+(6+9)=?
Plz I really need this in the next minute.
I don’t know how to set it up nor do it please help me
Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]
∴ x = 3
∴ The value of x is 3
Choose a value that breaks this gem into 5 equal pieces.
25%
50%
10%
20%
200
A. y = |x - 4| - 2
B. y = |x + 4| + 2
C. y = |x - 4| + 2
D. y = |x + 4| - 2
Larry fills his bathtub at a constant rate. The amount of water in his tub is proportional to the amount of time he spends filling it. This relationship is described in the following graph:
Answer:
7 but im not sure
Step-by-step explanation:
Answer:
its A and B
Step-by-step explanation:
Do NOT hit none of the above, that's wrong
3/4 divided by 4/3 whats the answer to this problem
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What equation is graphed in this figure?
y−4=−13(x+2)
y−3=13(x+1)
y+2=−3(x−1)
y−5=3(x−1)
Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through begin ordered pair negative one comma four end ordered pair and begin ordered pair one comma negative two end ordered pair
Answer:
C. [tex] y + 2 = -3(x - 1) [/tex]
Step-by-step explanation:
All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.
Thus, equation of in point-slope form is given as [tex] y - y_1 = m(x - x_1) [/tex].
Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{1 - 0} = \frac{-3}{1} = -3 [/tex]
Substitute (x1, y1) = (1, -2) and m = -3 into [tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-2) = -3(x - 1) [/tex]
[tex] y + 2 = -3(x - 1) [/tex]
The answer is C.
A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
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What is an explicit rule for the sequence 9, 14, 19, 24
Answer: an arithmetic sequence
Step-by-step explanation:
Gina already owns 2 necklaces , and additional necklaces are priced at 1 for a dollar. How much money does Gina need to spend on new necklaces in order
to own a total of 18 necklaces?
Answer:
16 dollars
Step-by-step explanation:
she already owns 2 necklaces
18-2=16
1 necklace =1 dollar
16x1=16
Answer:
16 dollars.
Step-by-step explanation:
She already has 2 necklaces. For a total of 18 necklaces, she needs to pay for 16 more. One is 1 dollar so do 16 x 1 to find the amount of payment required.
Hope it helps!
Can someone help with this one? You get 35 points
Answer:
the answer is d
Step-by-step explanation:
the set of all numbers less than or equal to -6 or greater than it equal to -2
Answer:
Step-by-step explanation:
-6 ≥ x
-2 ≤ x
I don't think you can combine this into one statement.
Your line looks something like
<---------------O O------------------------->
-6 -2
Shade in the 2 Os. The shaded in Os are included in the way the line looks.
Please help or at least try and also I’m so sorry if u can’t read it well
Help ASAP pls What is the y intercept of the linear equation shown on the graph
A. (0,-70)
B. (0,-50)
C. (0,1/2)
D. (0,100)
Answer:
(0, -50)
Step-by-step explanation:
pick any 2 points such as (100,0) and (120,10)
to get from point (100.0) to point (120,10) you had to rise 10 and run 20
so the slope m =rise 10/run20= 1/2
the equation of the line is (y-y1)=m(x-x1)
(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)
y=( x/2)-50 if you distribute
compare this with the equation
y=mx+b wher m=slope and bb is y-intercept
so the y-intercept is -50
Answer:
b
Step-by-step explanation:
trust
1. The probability of telesales representative making a sale on a customer call is 0.15.
Representatives are required to achieve a mean of at least 5 sales each day.
(C) Find the least number oftcalls each day a representative should make to achieve this
requirement
(d) Calculate the least number of calls that need to be made by a representative for the
probability of at least 1 sale to exceed 0.95
Answer:
1c
[tex]n = 33[/tex]
1d
[tex]n = 19[/tex]
Step-by-step explanation:
From the question we are told that
The probability of telesales representative making a sale on a customer call is [tex]p = 0.15[/tex]
The mean is [tex]\mu = 5[/tex]
Generally the distribution of sales call made by a telesales representative follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]5= n * 0.15[/tex]
=> [tex]n = 33[/tex]
Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as
[tex]P( X \ge 1) = 1 - P( X < 1 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - P( X =0 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95[/tex]
=> [tex] 1 - [1 * 1* (0.85)^{n}] > 0.95[/tex]
=> [tex] [(0.85)^{n}] > 0.05[/tex]
taking natural log of both sides
[tex]n = \frac{ln(0.05)}{ln(0.85)}[/tex]
=> [tex]n = 19[/tex]
Find the mean for the scores 3860,5300,8560,4,200,5360
Answer:
The mean is 5444
Step-by-step explanation:
Hope this helps!
Answer:
add and divide for the mean
Step-by-step explanation:
3860 + 5300 + 8560 + 4200 + 5360 = 27280
27280 ÷ 5 = 5456
Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.
Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)Help ASAP Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years
Answer:
$72,000
Step-by-step explanation:
6000-5000=1000
1000x6 =6000
6000x12=72,000
If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.
Answer:
as
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
so
[tex]y'=0[/tex]
Step-by-step explanation:
Given the function
[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]
Taking derivative
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]
[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
as
[tex]\frac{d}{dx}\left(1\right)=0[/tex] ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
substituting all the values in the expression
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
[tex]=0-1+2x+1-2x[/tex]
[tex]=0[/tex]
Hence,
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
Therefore,
[tex]y'=0[/tex]
(Giving brainliest!!!)
How do you solve 7,124 ÷ 26 using standard algorithm?
Answer:
274
Step-by-step explanation:
The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.
However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)