Answer:
$600
Step-by-step explanation:
1 month = 4 weeks
They are 2 weeks on and 2 weeks off.
Find out how much they get paid for 1 week.
20 x 15 = 300
300 x 2 = 600 (2 weeks)
in how many ways can you arrange MATHEMATICS if duplication of the arrangement are not allowed?
Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
A coordinate map of a college campus gives the coordinates (x,y) of three major buildings as follows: computer center, (3.5,-1.5); engineering lab, (0.5,0.5); andlibrary, (-1,-2.5). Find the equations in slope-intercept form of the lines connecting (a) the engineering lab and the computer center and (b) the engineering lab with the library. Are these two paths perpendicular to each other?
Answer:
a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]
b) [tex]y = 2x - \frac{1}{2}[/tex]
These two paths are not perpendicular to each other.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope of the line and b is the y-intercept.
If two lines are perpendicular, the multiplication of their slopes is -1.
(a) the engineering lab and the computer center
Coordinates (3.5,-1.5) and (0.5,0.5)
The slope is given by the change in y divided by the change in x.
Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2
Change in x: 0.5 - 3.5 = -3
Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]
So
[tex]y = -\frac{2}{3}x + b[/tex]
Now, to find the y-intercept, we replace one of these points into the equation.
(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]
So
[tex]y = -\frac{2}{3}x + b[/tex]
[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]
[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]
[tex]b = \frac{5}{6}[/tex]
So
[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]
(b) the engineering lab with the library.
(0.5,0.5) and (-1,-2.5).
First, we find the slope:
Change in y:-2.5 - 0.5 = -3
Change in x: -1 - 0.5 = -1.5
The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]
So [tex]y = 2x + b[/tex]
Now we find b
[tex]y = 2x + b[/tex]
[tex]0.5 = 2(0.5) + b[/tex]
[tex]b = -0.5 = -\frac{1}{2}[/tex]
So
[tex]y = 2x - \frac{1}{2}[/tex]
The multiplication of their slopes, is
[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]
Since it is different of one, these paths are not perpendicular to each other.
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times
Answer:
[tex]\frac{1}{25} =0.04[/tex] (Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
What is Permutation and Combination ?
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
An individual can win a prize by drawing the highest numbered card out of five cards.
Given that an individual makes 7 draws
p = 1/5 = 0.2
q = 1-P =0 .5
5 times corresponds to B( 7 , 0.2)
P(x = 2) = 7 C₂ (0.7)² (0.8)⁵
= 21 * 0.04 * 0.3277
= 0.2753
Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
To know more about Permutation and Combination
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Plz help me well mark brainliest if you are correct!
Answer:
the answer is a
Step-by-step explanation:
radius is the diameter divided by 2
Answer:
31.2
Step-by-step explanation:
Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
Answer:
7 wedges
Step-by-step explanation:
=60% of 126g
=60 ÷ 100 × 126g
=75.6g
=75.6 g ÷ 10g
=7.56 = 7 wedges
Let f(x) = - 4x + 5. Find and simplify f(3a-4).
f(3a-4)=
(Simplify your answer.)
Answer:
-12a+21
Step-by-step explanation:
-4*(3a-4)+5
-12a+16+5
-12a+21
The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
Answer:
The answer is C.[1,0]
Step-by-step explanation:
HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
How to calculate the midpoint of two coordinates?The midpoint is the middle of a line projecting from one end to another.
Given the parallelogram HIJK with the coordinate points
H(-2,2), I(4,3), J (4, -2), and K (-2, -3)
The diagonals are HJ and IK.
Determine the midpoint
M(x, y) = [(-2+4)/2, (2-2)/2]
M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)
This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
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to listen 4.Rico used different units to measure this bulletin board. Which unit did he use the fewest of? A. inches listen B. all the same ta C. centimeters D. meters
is there a table or something you can add because I cant tell anything with the information you gave.
The quotient of a number and -9 increased by 10.3 is 11.3. What is the equation?
Answer:
x/-9+10.3=11.3
Step-by-step explanation:
use the figure above to determine the measure. What is the measure of angle ABC?
a. 21°
b. 42°
c. 66°
d. 84°
Explain how you would find the sum of 0.35, 0.5 and 0.05 giving your answer as a
fraction.
Answer: Here
Step-by-step explanation:ou have learned to think of multiplication by a whole number, such as 3 × 4 or 8 × 0.6, as repeated
addition. However, this concept does not work when neither of the factors is a whole number, as in
0.83 × 1.43 or 2/3 × 7/11. Instead, when you multiply decimals or fractions, think of it as finding
"a certain part of” the other factor. In this sense, the symbol “×” translates to “of.”
Example. 0.1 × 80 means finding one-tenth “of” 80. That is simply 8.
Example. 0.4 × 80 means finding four-tenths “of” 80. Since one-tenth of 80 is 8, then 0.4 of 80 is four times as much, or 32.
Example. 0.02 × 3,000 means finding two-hundredths of 3,000. Since one-hundredth of 3,000 is 30, then 0.02 of 3,000 is two times as much, or 60
Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:graph d
Step-by-step explanation:
I just took the test on a p# x and yea I'm dum and got it wrong
Answer:It’s graph B
Step-by-step explanation:
step 2. divide the amount of rice by the total 50/5=10
Answer:
oo nvjfdifhdkvcbjkggnnvv
Step-by-step explanation:
please mark me answer banilist
question for math; 2m3n-4/p-6
Answer:
2m3np−6p−4p
Step-by-step explanation:
That is the answer
help, please will give Brainliest
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
__
If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
The coordinates of a rectangle are (3,0), (3,-5), (-4,0) and (-4,-5)
a. What is the length of this rectangle? ____ units
b.width? ____ units
c. What is the perimeter of the rectangle? ___ units
d. What is the area of the rectangle? ___ units
PLEASE HELP!! GIVING BRAINLIEST!!!
Answer:
a. 7 units
b. 5 units
c. 24 units
d. 35 units
a) The length of this rectangle is, 5 units.
b) The width of this rectangle is, √74 units
c) The perimeter of the rectangle is,
⇒ 2 (5 + √74)
d) The area of the rectangle is,
⇒ 5√74 units²
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinates of a rectangle are,
⇒ (3, 0), (3, -5), (-4, 0) and (-4, -5)
Now, The length of this rectangle is,
⇒ Distance between (3, 0) and (3, - 5).
⇒ √ (- 5 - 0)² + (3 - 3)²
⇒ √25
⇒ 5 units
And, The width of this rectangle is,
⇒ Distance between (3, - 5) and (- 4, 0).
⇒ √ (- 4 - 3)² + (0 + 5)²
⇒ √49 + 25
⇒ √74 units
And, The perimeter of the rectangle is,
⇒ 2 (Lenght + Width)
⇒ 2 (5 + √74)
And, the area of the rectangle is,
⇒ Length × Width
⇒ 5 ×√74
⇒ 5√74 units²
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Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel
Answer:
I think it's 40 . I'm not sure
Answer:
0.6 liter per kilo
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
2√3
Step-by-step explanation:
Given the following information,
Long = 3 = Adjacent
Angle of elevation =30 degrees
Required
Hypotenuse
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos 30 = 3/hyp
hyp = 3/cos30
hyp = 3/√3/2
hyp = 3* 2/√3
hyp = 6/√3
hyp = 6/√3 * √3/√3
hyp = 6√3/3
hyp = 2√3
Hence the hypotenuse is 2√3
Answer:
2v3
Step-by-step explanation:
Answer this question please ASAP
Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4y = 17. Based on this information, which statement is correct?
Answer:
(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.
Answer:
D
Step-by-step explanation:
Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)
Answer:
Each Pizza will cost $12.55
Step-by-step explanation:
we first going to subtract the following
$47.60 - 5 - 4.95 = $37.65
$37.65 / 3 (the number of pizza ) = $12.55
$12.55
Step-by-step explanation:
Amount spent on 3 pizzas= Total —( amount spent on salad + tip)
=460—(4.95+5)
= $37.65
cost of each pizza= 37.65÷3
= $12.55
Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!
Answer:
the first option
Step-by-step explanation:
for a number to be rational, it should be able to be expressed as a fraction. Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction
Answer:
Step-by-step explanation:
it’s the first one
CAN SOMEONE PLEASE TELL ME THE VALUE OF X, EQUATION, AND ANGLE MEASURES!!
Answer:
8x+10 = 12x - 18
28 = 4x
x = 7
Step-by-step explanation:
ASAP Please Help! I need to show all the work. IM really confused. Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 2 end quantity plus 8 equals x
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x=11
Explanation: See below!
I hope this helped!
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- Zack Slocum
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Answer:
x = {6, 11}Step-by-step explanation:
[tex]\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11[/tex]
The area of the rectangle shown is 66 m2.
4m
x m
Work out the missing length x.
Answer:
16.5 m
Step-by-step explanation:
66÷4=x
x=16.5m
...........
...........
What is the Area of Triangle RST? Round your answer to the nearest tenth. *
Answer:
Step-by-step explanation:
Answer:
88.5
Step-by-step explanation:
formula = ab ×(sin∅)/2
= 18×12 × (sin 55)/2
= 88.5
16=b-3 what is the answer
Answer:
19 is the answer .......explanation is in image.
a sweater originally priced at $79 is marked down 20%. What will the sales piece be?
Answer:
$63.20
Step-by-step explanation:
first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.
79•0.2= 15.8
so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price
$79-$15.8= $63.20
hope this helps chu <3
Mauna Loa is one of the most active volcanoes in the world. From 1832 to 1950, the Hawaiian landmark erupted 37 times. What probability distribution will be used to estimate the chance that the next two Mauna Loa eruptions will occur within five months of one another
Answer:
[tex]E \approx \exp(0.31)[/tex]
Step-by-step explanation:
From the question we are told that
Occurrence of volcanoes[tex]x=37 times[/tex]
The number year
[tex]N= 1832-1950\\N=118 years[/tex]
Generally the number of volcanoes occurring is mathematically modeled as
[tex]X \approx Poisson(0.31)[/tex]
Generally the waiting time of the earthquakes will also be modeled with exponential distribution with the same parameters
[tex]E \approx \exp(0.31)[/tex]