Answer:
(-1/2 -1/8
1/4 3/16)
Step-by-step explanation:
(-3 -2
4 8 ) ^ -1
First find the determinant
-3 * 8 - (-2 *4) = -24 - (-8) = -24 +8 = -16
Multiply 1 over the determinant by The matrix with the -3 and 8 switched
and negate the -2 and the 4
1/-16(8 2
-4 -3 )
(-1/2 -1/8
1/4 3/16)
Answer:
-1/2 -1/8
1/4 3/16
Step-by-step explanation:
7 is a solution to the equation 3n + 9 = 33. true false
Answer:
No
Step-by-step explanation:
3n+9=33
-9=-9
3n= 24
3n/3=24/3
n=8
Answer:
False
Step-by-step explanation:
round 496,804 to the nearest hundred thousand.
Answer:
500,000
Step-by-step explanation:
You have a 9 in the ten thousand, round up and get 500,000
On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was his rate on Saturday?
A. 4 MPH
B. 11 MPH
C. 15 MPH
D. 16 MPH
Answer:
B. 11 MPH
Step-by-step explanation:
60/4=15
15-11=4
Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. How much money will she have in this account if she keeps it for 8 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.
Answer:
The answer is 4062.39
Step-by-step explanation:
A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.
The amount of money after 8 years will be $4062.38.
What is compound interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-
Amount = P [ 1 + ( r / n )]^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸
Amount = 2400 [1.068 ) ] ⁸
Amount = 4062.38
Therefore, the amount of money after 8 years will be $4062.38.
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Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. What would Stacy spend if she bought 15 tickets?
Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
factor 4x^2 -6w+2x-12xw
Answer:
2(2x+1)(x-3w)
In a batch of pedometers, are believed to be defective. A quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function f(x)P(Xx) is given below. f(x){(0,), (1,), (2,), (3,)} Recall that the mean of a discrete random variable X with probability mass function f(x)P(Xx) is given by . Find for the probability mass function above. What does this number represent?
Answer:
The mean for the probability mass function is 0.64287.
Step-by-step explanation:
The complete question is:
In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.
The probability mass function f (x) is:
f (x) = {(0, 0.47009), (1, 0.42308), (2, 0.10073), (3, 0.00611)}
Solution:
The mean of a discrete random variable X with probability mass function f (x) is:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
Compute the mean for the probability mass function above as follows:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
[tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]
Thus, the mean for the probability mass function is 0.64287.
This values represents the expected number of defective units for every 6 units tested.
Write the equation of the line that contains the points (5,7) and (5, -12):
Step-by-step explanation:
Well you first have to find the slope, which is y2-y1/x2-x1
Which is -12-7/5-5 and that equals to undefined.
So since you can't find the slope the answer should be undefined.
Hope this helps <3
3/4 ( 1/2× -12) + 4/5
Sloan was told to written paper of a science experiment should Express measurements and leaders 1.26 gallon 11.05 courts 14.2 to cups which shows how to calculate the number of liters he use if he use 5 cups of water divided by 5 4.22 divide 5 by 1.05 or multiply 5 by 1.05
Answer:
Multiply 5 by 4.22 because 5 cups of water is 4.22 liters
A TV is 20% off the original price amount is $180. What is the original amount?
Answer: $200
Step-by-step explanation: $200=100% so then $200-20%=$180=80%
Answer:
9005
Step-by-step explanation:
180$ divided by 20% is 900$
Simplify -|-5 + 2|
7, 3, -7,-3
Answer:
-3
Step-by-step explanation:
WILL MARK BRAINLIEST Given a the line y=2.5x+4, find line whose graph: b intersects with the graph of the given line.
the exact value of 5.2 billion ÷100 is
(use scientific notation, round to three decimal places as needed)
The answer is:
5.2 x 10^7 or 52,000,000
hcf of 72, 120, 192 with explanations
g The number of individuals arriving at a food pantry in a small city averages eight per day. Assume the Poisson distribution. What is the probability that, on any given day, there will be 9 individuals arriving at the food pantry
Answer:
The probability that on any given day, there will be 9 individuals arriving at the food pantry is 0.1241
Step-by-step explanation:
Here, we are to use Poisson distribution probability formula
Please check attachment for detailed explanation
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there? (b) How many schedules include neither sister? (c) How many schedules include both sisters and have them playing against each other? (d) How many schedules include both sisters, but have them playing in different matches?
Answer:
(a) 1,411,200.
(b) 302,400.
(c) 100,800.
(d) 1,008,000.
Step-by-step explanation:
Permutation is the number of ways to select k items from n distinct items in a specific order.
The formula to compute the permutation or arrangement of k items is:
[tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]
(a)
Compute the total number of schedules as follows:
[tex]\text{Total Number of Schedules}=\ ^{8}P_{4}\times \ ^{7}P_{4}[/tex]
[tex]=\frac{8!}{(8-4)!}\times \frac{7!}{(7-4)!}\\\\=\frac{8\times 7\times 6\times 5\times 4!}{4!}\times \frac{ 7\times 6\times 5\times 4\times 3!}{3!}\\\\=(8\times 7\times 6\times 5)\times (7\times 6\times 5\times 4)\\\\=1411200[/tex]
Thus, the total number of schedules are, 1,411,200.
(b)
Compute the number of schedules that includes neither sister as follows:
If neither of sister are included in the schedule then the number of players from the team are 7 and 6 respectively.
[tex]\text{Number of Schedules without the sisters}=\ ^{7}P_{4}\times \ ^{6}P_{4}[/tex]
[tex]=\frac{7!}{(7-4)!}\times \frac{6!}{(6-4)!}\\\\=\frac{ 7\times 6\times 5\times 4\times 3!}{3!}\times \frac{ 6\times 5\times 4\times 3\times 2!}{2!}\\\\=(7\times 6\times 5\times 4)\times (6\times 5\times 4\times 3)\\\\=302400[/tex]
Thus, the number of schedules that includes neither sister is 302,400.
(c)
Compute the number of schedules including both sisters and have them playing against each other as follows:
If both the sisters are playing against each other then there will be three more places to be filled in both the teams.
And the two sisters can play in any of the 4 matches.
[tex]\text{number of schedules including} \\\text{both sisters against each other}=(\ ^{7}P_{3}\times \ ^{6}P_{3})\times 4[/tex]
[tex]=[\frac{7!}{(7-3)!}\times \frac{6!}{(6-3)!}]\times 4\\\\=[\frac{ 7\times 6\times 5\times 4!}{4!}\times \frac{ 6\times 5\times 4\times 3!}{3!}]\times 4\\\\=[(7\times 6\times 5)\times (6\times 5\times 4)]\times 4\\\\=100800[/tex]
Thus, the number of schedules including both sisters and have them playing against each other is 100,800.
(d)
Compute the number of schedules including both sisters as follows:
[tex]\# \text {Schedules with the Sisters}=\text{Total}\ \#\ \text{Schedules }-\ \# \text {Schedules without the Sisters}[/tex] [tex]=1411200-302400\\=1108800[/tex]
Now compute the number of schedules having the sisters playing in different matches as follows:
[tex]\text{Playing in Different Matches}=\# \text {Schedules with the Sisters}-\text{Playing together}[/tex]
[tex]=1108800-100800\\=1008000[/tex]
Thus, the number of schedules including both sisters, but have them playing in different matches is 1,008,000.
What is the answer please I need it
here is the question.
Answer:
the answer of the question is 7
a withdrawal of $225
Answer:
ok bro
Step-by-step explanation:
I put a pic of question here. I'm in 8th grade
y = 115
x = 78
The angles in each line have to add up to 180. In this case, it doesn't show the other side of the angle, but you could probably think of it.
To find 2.43 x 7.5, multiply__*_. Then, place the decimal point in the product to show
decimal places. PLEASE BRAINILY HELPPP
Answer:
16.825 is the answer for your question
What is the answer for number 11
Answer: C
Step-by-step explanation: First you have to do y-y÷x-x. So first you do 2-3 which gives you -1. Then you do 6-4 which gives you 2. Then you divide -1÷2 which gives you -0.5x. Now you know it's either C or D because it's negative. For the y-intercept, you have to plug in one of the ordered pairs to y and x using the slope-intercept form.
f(x)=-4x²-6x-1and g(x)=-x²-5x+3 find (f+g)(x)
[tex](f + g)(x) = - 4 {x}^{2} - 6x - 1 - {x}^{2} - 5x + 3 \\ [/tex]
[tex](f + g)(x) = - 5 {x}^{2} - 11x + 2 \\ [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Can someone pls help me?!?
Answer:
Step-by-step explanation:
If the sum of the two given angles is 5 + 10 = 15 then the third side cannot be larger than 15. If it is, the two given angles will fall flat on the third angle.
If the third angle is less than 5 then the sum will be less than 10 and the same thing will happen as described above.
So the correct answer is B
Complete the table to find solutions to the linear equation y=-10x+30
Which of the following graphs represents the equation y=2x−3?
Answer:
D. (the one in the right hand bottom corner)
Answer:
Bottom right
Step-by-step explanation:
The equation is y = 2x - 3
2 represents the slope
-3 represents the y-intercept
The y-intercept is when x = 0
So first, we look at the graphs and find the graphs that display when x = 0, y = -3 aka (0, -3)
From this, we can deduce the two graphs on the left side are wrong
It must be the two on the right
Now we figure out which one has a slope of 2 aka rise over run = 2/1
Which graph goes up (rises) 2 units and goes forward (runs) 1 unit?
The top right graph depicts a slope of 1/2, not 2/1 so this is incorrect
The bottom right graph displays a slope of 2/1 aka 2
Bottom right graph is the correct answer
What is the image of point (0,2) after a rotation of 90° counterclockwise about the origin?
Answer:
(-2,0)
Step-by-step explanation:
remember the rule for 90 degree clockwise is (-y,x) opposite y and x
the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative
Hope this helps dude, I'm also learning this in online school lol. ^-^
The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
The given coordinate point is (0, 2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here
(-2, 0)
Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
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A parachutist's rate during a free fall reaches 225 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall?
Answer:
62.5 m/s937.5 mStep-by-step explanation:
1 km/h = (1000 m)/(3600 s) = 1/3.6 m/s
Then
225 km/h = 225(1/3.6) m/s = 62.5 m/s
In 15 seconds, that's ...
(15 s)(62.5 m/s) = 937.5 m
Answer:
62.5
and
937.5
Step-by-step explanation:
A radio transmission tower is 180 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 22° with the ground? Give your answer to the nearest tenth of a foot.
Answer:
453.95 feet exactly
Step-by-step explanation: