Answer:
135
Step-by-step explanation:
From the given information:
The total number of handshakes can be represented by the combination of 18 combination 2, which can be mathematically expressed as:
[tex]\mathbf{^{18}C_2}[/tex] .
where;
[tex]\mathbf{^{18}C_2}[/tex] is the number of ways two people can shake themselves from a total of 28 people without much regard about the order of arrangement of the handshakes.
[tex]\mathbf{^{18}C_2 = \dfrac{18!}{2!(18-2)!}}[/tex]
[tex]\mathbf{= \dfrac{18!}{2!(16)!}}[/tex]
= 153
From these 6 companies, the possibility that there will be handshakes from within the company is [tex]\mathbf{^3 C_2}[/tex]
[tex]\mathbf{^3 C_2} = \dfrac{3!}{2!(3-2)!}[/tex]
[tex]= \mathbf{ \dfrac{3 \times 2!}{2!(1)!}}[/tex]
= 3
However, number of companies = 6
∴ the number of handshakes within companies = 3 × 6 = 18
But we are being told that :
If the representatives did not shake hands with people from their own company, how many handshakes took place
Therefore, the number of handshakes that took place in regard to the given criteria = 153 - 18
= 135
A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
Answer:7.84 X 10-3 m2
Step-by-step explanation:
A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
=7.84 X 10-3 m2
Evaluating expression 4/a + b/3 when a = 4 and b = 3.
Answer:
2
Step-by-step explanation:
Hello!
It is asking us to solve when a = 4 and b = 3 so we put those values in for a and b
4/4 + 3/3
When the numerator and denominator are the same that fraction can be shown as 1
1 + 1 = 2
The answer is 2
Hope this helps!
Answer:
The answer is 2Step-by-step explanation:
[tex] \frac{4}{a} + \frac{b}{3} [/tex]a = 4 and b = 3
Substitute the values of a and b into the expression
That's
[tex] \frac{4}{4} + \frac{3}{3} = 1 + 1[/tex]We have the final answer as
2Hope this helps you
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Which best describes the dimensions of a line?
Vx
O Aline has zero dimensions because it represents a location on the coordinate plane.
O Aline has one dimension because it is made up of all points that extend infinitely in either direction.
O Aline has two dimensions because it is made up of three noncollinear points.
O Aline has multiple dimensions depending on how many labeled points it contains.
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Answer:
B
Step-by-step explanation:
PLEASE HELP!
Find the value of z. A. 40 B. 80 C. 56 D. 62
Answer:
A
Step-by-step explanation:
The secant- tangent angle 50° is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex](210 - x) = 50 ( multiply both sides by 2 )
210 - x = 100 ( subtract 210 from both sides )
- x = - 110 ( multiply both sides by - 1 )
x = 110°
The sum of the 3 arcs on the circle = 360°
210 + x + z = 360
210 + 110 + z = 360
320 + z = 360 ( subtract 320 from both sides )
z = 40°
NEED HELP ASAP algebra 2
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Step 1: Use Pythagorean Theorem to find the length of the hypotenuse
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]9^{2}+7^{2} =c^{2}[/tex]
[tex]81+47 =c^{2}[/tex]
[tex]128 =c^{2}[/tex]
[tex]\sqrt{c^{2} } =\sqrt{128}[/tex]
[tex]c=\sqrt{128}[/tex][tex]\sqrt{128} =8\sqrt{2}[/tex]
Therefore the third side is [tex]8\sqrt{2}[/tex]
Given: g (x) = StartFraction 1 Over x + 2 EndFraction and h (x) = 3 x Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.
Answer:2/3 is the same
Step-by-step explanation:
simplify (-2)(-3)+(4)(-8)
Step-by-step explanation:
[tex]( - 2)( - 3) + (4 )( - 8) \\ - 2 \times - 3 + 4 \times - 8 \\ 6 + ( - 64) \\ 6 - 64 \\ - 58[/tex]
Find the value of x
Pls help me :(
Answer:
i think is 10
Step-by-step explanation:
.............e
What’s the Y-intercept of the parabola with the equation y= x^2 - 4x-10?
Answer:
-10
Step-by-step explanation:
Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.
The constant is typically the y-intercept.
Convert the following decimal to a fraction. Be sure to simplify your fraction 0.378
Answer:
189/500
Step-by-step explanation:
[tex]0.378\\\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}\\\\\mathrm{There\:are\:}3\\\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\\\:therefore\:multiply\:and\:divide\:by\:1000}\\\\=\frac{0.378\timess \:1000}{1000}\\\\=\frac{378}{1000}\\\\\frac{378}{1000}:\quad \frac{189}{500}[/tex]
Which number is closest to √18
Answer:
4.2 or 4
Step-by-step explanation:
√18 = 4.24264068712
or 4.2
or 4
8 plus 3 cubed over 12-7
Answer:
7
Step-by-step explanation:
8+3³/12-7
8+27/5
35/5
7
What List of 7 numbers that round to 300?
Answer:
The numbers 250-259 can be rounded to 300. Also 301-349 can be rounded down to 300. This works if you are rounding by the nearest hundreds place.
change 25/6 to mixed fraction
Answer:
[tex]4\frac{1}{6}[/tex]
Step-by-step explanation:
To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is [tex]4\frac{1}{6}[/tex].
Answer:
4\frac{1}{6}
;-)
Step-by-step explanation:
plz crown 'o'
A 5 gram ball has a volume of 2.5 milliliters. What is the density of the ball?
Answer:
2gramm/millimeters
Step-by-step explanation:
From the question we were given 5
gram ball with a volume of 2.5 milliliters.
Then What is the density of the ball?
Density of a substance is the mass of the substance per it's unit volume
It can be expressed below as
Density= mass/ volume
Mass= 5gram
Volume= 2.5millimetre
Then substitute we have
Density=5/2.5
=2g/mm
Therefore, density of the ball is 2gramm/millimeters
A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their low scores are all between 90 and 100, except for Angie, whose low score is 80. Angie then golfs a great round and has a new low score of 75. How will decreasing Angie's low score affect the mean and median?
Answer: Mean get decreased and median remains same.
Step-by-step explanation:
Given: The low scores of all 4 friends are all between 90 and 100, except for Angie, whose low score is 80.
i.e. Angie is an outlier.
[An outlier is an extreme value which lies far from the other data values.]
Angie then golfs a great round and has a new low score of 75.
i.e. more lower value.
Since Mean gets effected by an outlier but median remains same.
Here, value of new outlier(75) is less than the previous one (80), so mean score will get decreased, where as median (middle most value in ordered data) remains the same.
3 less than g is greater than or equal to 17
Answer:
Step-by-step explanation:
g - 3 >= 17
g >= 20
The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given statement is,
3 less than g is greater than or equal to 17.
To write inequality for the Statement,
Let g is variable,
3 less than g = g - 3
g -3 is greater than or equal to 17,
Implies that,
g - 3 ≥ 17.
The required inequality is g - 3 ≥ 17.
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Kendrick is using a compass and straightedge to copy angle M the figure shows the portion of the construction that he has already completed where should Kendrick place the center of the compass to do the next step of the construction
Answer:
The next step of the construction is;
Place the compass at point N and adjust the width to the point where the arc crosses the other side leg of the angle
Step-by-step explanation:
The steps to copy an angle are;
1) Mark the point C of the vertex of the new angle
2) Draw a ray from C in the desired direction
3) With the compass placed at M of the original angle, draw an arc that crosses both sides of the original angle. Mark the crossing points N and O
4) With the same compass width from the arc drawn in the above step, draw a similar arc that crosses the ray from C at point D
5) Place the compass at point N and adjust the width to point O, the point where the arc crosses the other side of the angle
6) While the adjusted compass width is held to remain the same, place the compass at point D and draw an arc to cross the previous arc drawn from C and label the intersection point E
7) With the straight edge, draw a ray FC that passes through E to point C to complete the copied angle.
Which number is greater -4 or 8
Answer:
8
Step-by-step explanation:
think about this: which number has the bigger distance from 0 on a number line.
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8
You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger
The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.
To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.
In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.
In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.
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find the distance points (7,-2) (3,1)
Answer:
5
or
square root of 25
Step-by-step explanation:
I used my ti-84 plus ce calculator to solve
>download DISTMID
>prgm
>DISTMID
>DISTENCE
>enter points
>answer
what’s the answer choice?
Answer:
C. -1/2, 2, √5, √16, 4,05
Step-by-step explanation:
When ordering numbers from least to greatest first comes negative values then we compare all positive expressions
2 is smaller than √5 because it's approximately 2.2 and then comes √16 because it's equal to 4 and finally comes 4.05
It cost 13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets.what was the cost for each ticket
Answer:
Each ticket cost 4.05
Step-by-step explanation:
Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10
since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05
If sets A and B have the same number of terms, is the standard deviation of set A greater than the standard deviation of set B? 1.The range of set A is greater than the range of set B. 2. Sets A and B are both evenly spaced sets.
Step-by-step explanation:
(1) The range of set A is greater than the range of set B.
This statement gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10
Clearly, Former one has higher range but lower standard deviation.
(2) Sets A and B are both evenly spaced sets.
Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.
For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or, we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.
M is between N and O . MO = 15, and MN = 76. Find NO
Answer:
91Step-by-step explanation:
N___________________M_______O
76 15
NO = MN + MO = 76 + 15 = 91
PLZ HELP ME I.NEED.HELP ASP
Question 10
If QR=21 and PR=88, find PQ.
Answer:
67
Step-by-step explanation:
Hello!
To find PQ we subtract the length of the whole line by QR
88 - 21 = 67
The answer is 67
Hope this helps!
Point C'(-4,-3)C
′
(−4,−3)C, prime, left parenthesis, minus, 4, comma, minus, 3, right parenthesis is the image of C(-2,-3)C(−2,−3)C, left parenthesis, minus, 2, comma, minus, 3, right parenthesis under a translation
Answer:
The slope of the line through the points is -5/7
Step-by-step explanation:
Here, we want to calculate the value of the slope through the lines
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (-4,2)
and (x2,y2) = (3,-3)
Substituting these values, we have;
m = (-3-2)/(3-(-4)) = -5/7 = -5/7
Answer:
2 units to the LEFT
Step-by-step explanation:
i used khan
please help like nobody has helped me on my other questions and i dont wanna fail this test
Answer: d=70; f=45; e=65
Step-by-step explanation:
NUMBER 1 WAY
110+d=180
d=70
135+f=180
f=45
d+f+e=180
70+45+e=180
e=65
--------------------------------------------------
NUMBER 2 WAY
concept to know: exterior angle theorem
------------------------------
System of equation
d+e=135
f+e=110
d+e+f=180
------------------------
d=135-e
f=110-e
-------------------------
d+e+f=180
(135-e)+e+(110-e)=180
135-e+e+110-e=180
245-e=180
e=65
-----------------------
d=70
e=65
f=45
Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Express your answer as a common fraction.
Explanation:
There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.
There are 6*6*6 = 216 different ways to roll three dice.
Divide the two values to get 1/216
Multiply
(2y²-1) by (2y³+5y²)
please dasdo
Answer:
4[tex]y^{5}[/tex] + 10[tex]y^{4}[/tex] - 2y³ - 5y²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
2y²(2y³ + 5y²) - 1(2y³ + 5y²) ← distribute both parenthesis
= 4[tex]y^{5}[/tex] + 10[tex]y^{4}[/tex] - 2y³ - 5y²
If 1 inch on a map represents y miles, how many miles are represented by x feet on the same map?
Answer:
1 inch represents 1 mile
66330 inches represent 1 mile
Convert to feet = 5280 feet for every mile
So if the map shows y = 1 1/4 then this means 1 1/4 miles
which would make the decimal of y = 1.25
which makes x = 5280 x 1.25 = 6600
We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.
= y * x = (1 .) + additional) * 1 * 5280
Not forgetting the above decimal if under 2 inches.
Or in any measure including if over 2 inches we can use
= measure of y * 5280 = ( ) answer
If [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.
What is map ?A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.
What is mile?Mile is a measure of length, in one mile there 1.6 kilometers.
We have,
[tex]1[/tex] inch [tex]=y[/tex] miles
Then,
[tex]x[/tex] feet will represent miles on map will be as
We know that,
[tex]1[/tex] feet [tex]=12[/tex] inch
So,
According to question,
Miles represented by [tex]x[/tex] feet [tex]=12y[/tex] miles
Because according to the above given statement we came to know that in [tex]1[/tex] feet there are [tex]12[/tex] inches.
Hence, we can say that if [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.
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