Answer:
The car was traveling for 1.5 hours.
Step-by-step explanation:
Given that distance d, in kilometers, that a car travels at a speed of 80 km per hour , for t hours, is given by the equation d=80t.
Here wee need to find the time if the car has gone 120 kilometers.
That is
d = 120 km
we need to find t.
d=80t
120 = 80 x t
The car was traveling for 1.5 hours.
The odds against drawing a face card out of a deck are 9:4. What is the probability of drawing a face card?
The probability of drawing a face card from a deck is 3/13 or approximately 0.23.
The odds against an event is defined as the ratio of the number of ways the event doesn't occur to the number of ways it occurs. In this case, the odds against drawing a face card from a deck are 9:4. So, there are 9 ways to not draw a face card and 4 ways to draw a face card.
The total number of cards in a deck is 52, and there are 12 face cards (4 jacks, 4 queens, and 4 kings). Therefore, the probability of drawing a face card is:
P(face card) = number of face cards/total number of cards = 12/52 = 3/13
We can check that this probability satisfies the given odds against:
9/4 = 9/(9+4) = 9/13
1 - P(face card) = 1 - 3/13 = 10/13
The odds against drawing a face card is the same as the probability of not drawing a face card, which is 10/13. Therefore, the odds in favour of drawing a face card can be calculated as:
odds in favour= (3/13)/(10/13) = 3/10
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Select the correct answer.
What is the domain of the function shown on the graph?
A. -∞ < x < ∞
B. x ≤ 2
C. x ≤ 1
D. -10 < x < 2
Option B is correct, x ≤ 2 is the domain of the function shown on the graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain of the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
The graph has x values less than or equal to two.
x ≤ 2 is the domain of the given function.
Hence, option B is correct, x ≤ 2 is the domain of the function shown on the graph.
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The sum of two numbers is 52 and the difference is 8. What are the numbers?
Answer:
22, 30
Step-by-step explanation:
52/2=26
26-4=22
26+4=30
30+22=52
Answer:
30 and 22
Step-by-step explanation:
This can be solved using system of equations
Let x = the bigger number
Let y = the smaller number
The sum of two numbers is 52
x + y = 52
The difference is 8
x - y = 8
x + y = 52
x - y = 8
I will solve using elimination
(x + y = 52)
+ (x - y = 8)
-----------------------
2x = 60
/2 /2
x = 30
x + y = 52
30 + y = 52
-30 -30
y = 22
plzz help i hate mathhh hahah lol
Answer:
same here hyarhaha what to do
I need the answer quickly!
Please and Thank you!
Answer:
Option A
Step-by-step explanation:
Given expression = [tex] \frac{ - 1}{2} [/tex]
Lets multiply both numerator and denominator by -1.
[tex] = > \frac{ - 1 \times - 1}{2 \times - 1} [/tex]
[tex] = > \frac{1}{ - 2} [/tex]
Hence , Option A is the correct answer.
PLS HELP MEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!! ITS TIMED!!!!!!!!!!!!!!!
Answer:
answer is -
area of white color flags - 27000cm²
" " blue " " - 27000cm²
" " red " " - 27000cm²
Calculate each unit price. Determine which is the best buy.
$1.25 for 6 oz.
$1.33 for 8 oz.
$1.50 for 12 oz.
$2.05 for 16 oz.
Answer:
1.50 for 12 ounces would be the best buy.
Step-by-step explanation:
We can calculate the unit price by dividing the price the the amount. In this case, we use ounces as our amount. Based on the calculations below, the best buy would be the 1.50 for 12 ounces as it has the lowest unit price.
1.25/6 = 0.208
1.33/8 = 0.166
1.50/12 = 0.125
2.05/16 = 0.128
aye can someone help me i am confused??
Answer:
in the first one, the rule is y=2x+1
the second rule is y=x/2+1
sorry iont about the 3rd one
Step-by-step explanation:
interference is a property of a. light waves. b. sound waves. c. water waves. d. all of these e. none of these
Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.
Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.
When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).
For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.
This is known as constructive interference.
On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.
This is known as destructive interference.
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How do you do these? I'm not sure on how to solve these and what to do to solve them.
Answer:
c) 59.6516 miles
d) 158.503 quarts, 64.3738 km
An example of presenting percentages regarding football examined the role of discrimination by comparing what percentages?
a. African Americans as NFL players versus quarterbacks specifically b. African Americans as quarterbacks versus the US population. c. Whites as NFL players versus the US population. d. none of these choices are correct.
African Americans as quarterbacks versus the US population is an example of presenting percentages regarding football examined the role of discrimination.
In the given example, the comparison is made between the percentage of African Americans as quarterbacks and the percentage of African Americans in the US population. This comparison focuses specifically on the representation of African Americans in the quarterback position, examining whether there is a discrepancy or underrepresentation compared to their proportion in the overall population.
In the example of presenting percentages regarding football, the comparison is made between the percentage of African Americans as quarterbacks and the percentage of African Americans in the US population.
This specific comparison aims to assess the representation and potential discrimination faced by African Americans in the quarterback position. By comparing the percentage of African American quarterbacks to their proportion in the overall US population , it seeks to identify any disparities or underrepresentation that may exist.
This analysis allows for an examination of potential biases or barriers that could be influencing the opportunities and representation of African Americans as quarterbacks in football, shedding light on the role of discrimination in the sport.
Therefore, African Americans as quarterbacks versus the US population is an example of presenting percentages regarding football examined the role of discrimination.
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Sam is practising free-throws in basketball. She has a 4/5 chance of scoring each time she shoots from the free-throw line. (You should assume that the probability of scoring for each shot is independent of the result of other attempts.) What is the expected value of the number of free-throws that Sam will score before her first miss? 4/25 What is the variance of the number of free-throws that Sam will score before her first miss?
Sam has a 4/5 expected value of scoring each time she shoots from the free-throw line.
How is this so?
This means that the probability of her missing her first shot is 1/5. The expected value of the number of free-throws that Sam will score before her first miss is therefore 1/(1/5) = 5.
The variance of the number of free-throws that Sam will score before her first miss is (1−p)/p²
, where p is the probability of success.
In this case, p=4/5, so the variance is (1−4/5)/(4/5)²
=16/25.
= 4/5
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plzzzz help mark brainiest plus 20 points
:)
Answer:
I think its D. If not then it's A. I'm sorry if I get it wrong
please help, i will give brainilest.
Answer:
-36
Step-by-step explanation:
Answer:
i think x = 21
Step-by-step explanation:
Vincent paints 75% of his statues. He paints 60 statues. How many statues does Vincent have in total?
Answer:
80
Step-by-step explanation:
Let the total number of statues be s. Then 0.75s = 60, and s = (4/3)(60 statues) = 80
He has 80 statues total.
The sum of two numbers is 80 The difference is 16 Write and solve a system of equations to find the numbers.
Answer:
32+48
Step-by-step explanation:
80- 32= 48
80-48= 32
Answer: 32; 48
Step-by-step explanation:
Let x be the smaller number, and y be the larger number, then we get
x + y = 80
x - y = 16
x - y = 16
x = 16 + y
x + y = 80
16 + y + y = 80
16 + 2y = 80
2y = 64
y = 32
x - y = 16
x - 32 = 16
x = 48
Find the curvature k(t) of the curve r(t) = (-2 sin t)i + (-2 sin t)j + (-1 cost)k = 2sqrt2/(sqrt(8cost^2t+sin^2t)^(3/2))
The curvature k(t) of the Eequation r(t) = (-2sint) i + (-2sint) j + (-cost) k will be [tex]\frac{2\sqrt{2} }{(8cos^2t + sin^2t)^{3/2}}[/tex]
Given r(t) = (-2sint) i + (-2sint) j + (-cost) k
We can clearly see that r(t) is a vector equation of t.
If r(t): R→R³ is a vector-valued function of a real variable with independent scalar output variables x, y & z
where, r(t) = {x, y, z}
Where x = (-2sint) , y = -2sint and z = -cost
We know that the curvature to be
|| r'(t) X r"(t) || / ||r'(t)||³
This implies we need to find the determinant of the cross product of the derivative and double derivative of the equation r(t) for the numerator
r'(t) = (-2cost) i + (-2cost) j + (sint) k
r"(t) = (2sint) i + (2sint) j + (cost) k
hence we get || r'(t) X r"(t) || to be
[tex]\left|\begin{array}{ccc}i&j&k\\-2cost&-2cost&sint\\2sint&2sint&cost\end{array}\right|[/tex]
[tex]= \left|\begin{array}{ccc}-2cost&sint\\2sint&cost\end{array}\right| i - \left|\begin{array}{ccc}-2cost&sint\\2sint&cost\end{array}\right|j + \left|\begin{array}{ccc}-2cost&-2cost\\2sint&2sint\end{array}\right|k[/tex]
= -2i + 2j
Hence the magnitude will be
√(2² + 2²)
= 2√2 units
magnitude of r'(t) is
[tex]\sqrt{(2sint)^2 + (2sint)^2 + (cost)^2}[/tex]
= [tex]\sqrt{8cos^2t + sin^2t}[/tex]
Hence we get the curvature to be
[tex]\frac{2\sqrt{2} }{(\sqrt{8cos^2t + sin^2t})^3}[/tex]
simplifying this will give us
[tex]\frac{2\sqrt{2} }{(8cos^2t + sin^2t)^{3/2}}[/tex]
Hence the curvature k(t) will be [tex]\frac{2\sqrt{2} }{(8cos^2t + sin^2t)^{3/2}}[/tex]
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Correct Question
Find the curvature k(t) of the curve r(t) = (-2 sin t)i + (-2 sin t)j + (-1 cost)k
!PLEASE ANSWER ASAP! VERY IMPORTANT! THANK YOU!!
An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 10 lbs. and a standard deviation of 1.5 lbs. Impossible Minos fish
food has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be
11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to have
been used to feed this fish?
Answer:
Nacho Average Minos
Step-by-step explanation:
z=11.25-10/1.5 = 1.25/1.5 = 0.834
z=11.25-12/1 = -0.75/1 = -0.75
HELP NO LINKS NO FILES JUST ANSWERS DUE TODAY
Answer: From Figure A to Figure B it’s 1/2
Step-by-step explanation:
Count the squares around each triangle and then divide the larger number by the smaller one
The length of a rectangle is 12 less than four times the width. The perimeter of the rectangle is 176 cm. What are the dimensions of the rectangle?
What is the numerical coefficient in y=−6x−3
decrease 1800 by 2 percent
Answer:
1764
Step-by-step explanation:
2% of 1800 = 0.02 * 1800 = 36
1800 - 36 = 1764
Answer: 1764
Evaluate the following expression.
1/5^-2
Recall the following statement from Worksheet 11: Theorem 1. If G = (V, E) is a simple graph (no loops or multi-edges) with |V] = n > 3 vertices, and each pair of vertices a, b eV with a, b distinct and non-adjacent satisfies deg(a) + deg(6) > n, then G has a Hamilton cycle. (a) Using this fact, or otherwise, prove or disprove: Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle. (b) The statement: Every connected undirected graph having degree sequence 2, 2, 4, 4,6 has a Hamilton cycle is A. True B. False.
The statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false.
To disprove the statement, we need to provide a counterexample of a connected undirected graph with the degree sequence 2, 2, 4, 4, 6 that does not have a Hamilton cycle.
Consider a graph with five vertices labeled A, B, C, D, and E. Connect A and B with an edge, A and C with an edge, B and D with an edge, B and E with an edge, and C and D with an edge. Additionally, connect C and E with an edge, and D and E with an edge. This graph satisfies the given degree sequence.
However, this graph does not have a Hamilton cycle. A Hamilton cycle is a cycle in a graph that visits every vertex exactly once and returns to the starting vertex. In the provided graph, there is no way to construct such a cycle, as it is not possible to visit all vertices exactly once and return to the starting vertex.
Therefore, the statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false (option B).
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What is the product of (3y^-4)(2y^-4)?
Answer:
6/ y^8
Step-by-step explanation:
Five countries enter a race. The first three racers in order, Jamaica finished before Barbados, but behind Trinidad. Haiti finished before Guyana, but behind Barbados. Who won the Bronze (finished in 3rd place)?
Answer:
Barbados won the Bronze.
Step-by-step explanation:
The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:
1. Trinidad
2. Jamaica
3. Barbados
Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and the last one was Guyana:
1. Trinidad
2. Jamaica
3. Barbados
4. Haiti
5.Guyana
According to this, the answer is that Barbados won the Bronze.
please helpppp to find the answer would really appreciate it !
Answer:
the answer is in the attachment
Measure of the triangle
Answer: 30
Step-by-step explanation: Both of them are thirty because total angle adds up to 180 on a triangle
What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.
Answer:
x intercept = -3.15
y intercept = 6.3
Step-by-step explanation:
Given the expression
-6x+3y=18.9
x intercept occurs at y = 0
-6x+3(0)=18.9
-6x = 18.9
x = -18.9/6
x = -3.15
Hence the x intercept is -3.15
y intercept occurs at x= 0
-6(0)+3y=18.9
3y = 18.9
y = 18.9/3
y = 6.3
Hence the y intercept is 6.3
anybody know how to do this or what to do
Answer:
we know that 25% of something is = to 1/4 of something and we know 1/4 of that number is 8 so we have to do 8 plus 8 plus 8 plus 8 to get the answer or 8 times 4 which = 32
Step-by-step explanation: