Final answer:
Time's accuracy is crucial in sports, and a high school track coach's new stopwatch with an uncertainty of ±0.05 s may not be suitable for distinguishing very close race outcomes, such as those within a few hundredths of a second apart.
Explanation:
Time is a fundamental measurement in athletic competitions, particularly in track and swimming events, where even hundredths of a second can determine the outcome. The precision of time measurements has become increasingly important with the advancement of athletes' abilities, pushing the limits of human performance. In recent history, various advanced instruments have been developed to ensure the accuracy of timing in these competitions.
For instance, a high school track coach who has recently acquired a new stopwatch might find it incredibly useful or not depending on its precision. If the manual states the stopwatch has an uncertainty of ±0.05 s, this could affect the outcome of close races. Given that the top runners on the coach's team regularly clock 100-m sprints with times that may only differ by a few hundredths of a second, this level of uncertainty could be problematic in accurately distinguishing winning times.
Considering a scenario where the first-place sprinter came in at 12.04 s and the second-place sprinter at 12.07 s, the new stopwatch’s uncertainty range may not clearly differentiate between the two, since the difference in their times is within the margin of error of the stopwatch. This is relevant when comparing a sprinter's 100-meter sprint time of 12.04 seconds one week and 11.96 seconds the next week; due to the uncertainty of the stopwatch, we cannot conclusively say that this week's time was faster.faster.
regina invests$12,600 in an account interest, 3,2% annual continuously .what is the value of the account after 12years ?
Answer: 4,838.40
Step-by-step explanation: 12,600* 3.2%*12
Consider the following sets: U = {points on the coordinate plane} A = {solutions to the equation y = 2x + 5} B = {points on the line y = mx} For what value of m does A ∩ B = ∅?
Answer:
m=2
Step-by-step explanation:
Saturn is 8.867 × 10^8 miles away from the Sun. Uranus is 1.787 × 10^9 miles away from the Sun. Approximately how many times farther is Uranus from the Sun than Saturn is?
Answer: 0.2 times
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Solve the inequality:
8 + 4x ≥ 12
A. x ≥ 1
B. x ≥ 5
C. x ≤ 5
D. x ≤ 1
Answer:
x ≥ 1
Step-by-step explanation:
8 + 4x ≥ 12
Subtract 8 from each side
8-8 + 4x ≥ 12-8
4x ≥ 4
Divide by 4
4x/4 ≥ 4/4
x ≥ 1
The solution to the inequality 8 + 4x ≥ 12 is x ≥ 1. Therefore, the correct answer is A. x ≥ 1.
Correct option is A.
To solve the inequality 8 + 4x ≥ 12, we need to isolate x. Here's how we do it step by step:Start with the given inequality: 8 + 4x ≥ 12.First, subtract 8 from both sides of the inequality to isolate the term with the variable:8 + 4x - 8 ≥ 12 - 8.Simplify both sides:4x ≥ 4.Now, divide both sides by 4 to solve for x:(4x)/4 ≥ 4/4,x ≥ 1.So, the solution to the inequality is:x ≥ 1.Now, let's match this solution to the given answer choices:A. x ≥ 1 - This matches our solution.B. x ≥ 5 - This is not correct.C. x ≤ 5 - This is not correct.D. x ≤ 1 - This is not correct.The correct answer is A. x ≥ 1.For more questions on inequality -
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The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that exactly one of the eggs is cracked. Write the entire decimal answer.
Answer:
Probability that exactly one of the eggs is cracked is 0.0198.
Step-by-step explanation:
We are given that the probability that an egg on a production line is cracked is 0.01.
Two eggs are selected at random from the production line.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 2 eggs
r = number of success = exactly one
p = probability of success which in our question is probability that
an egg on a production line is cracked i.e; p = 0.01
Let X = Number of eggs on a production line that is cracked
So, X ~ Binom(n = 2, p = 0.01)
Now, probability that exactly one of the eggs is cracked is given by = P(X = 1)
P(X = 1) = [tex]\binom{2}{1} \times 0.01^{1} \times (1-0.01)^{2-1}[/tex]
= [tex]2 \times 0.01 \times (0.99)^{1}[/tex]
= 0.0198
Therefore, the probability that exactly one of the eggs is cracked is 0.0198.
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on red side up 22 times. What is the relative frequency of the chip landing with the red side facing up?
Answer:
44 %
Step-by-step explanation:
22 divided by 50 is 0.44 which is 44 percent
Answer:
40%
Step-by-step explanation:
answer needed quick
is it
supplementary
vertical
complementary
adjacent
Hey!!
They are adjacent angles.
Both angles have common side and vertex.
Hope it will help u...
A 128-ounce jug of milk costs $3.20, and a 64-ounce jug of milk costs $2.24. What is the difference in cost per ounce between the larger and the smaller jugs of milk?
brainiest
Answer:
The 64 ounce jug of milk costs $0.010 more per ounce than the 128 ounce jug of milk/
Step-by-step explanation:
3.20/128=$0.025 per ounce jug of milk
2.24/64=$0.035 per ounce jug of milk
0.035 - 0.025 = .010
If c – 8 is an odd integer, which of the following could be the value of c?
Answer:
Since you didn't give me any choices I can tell you that c is ANY ODD NUMBER THAT EXISTS.
Step-by-step explanation:
im smart ツ
What are the soulutions to m^2-9=0
Answer:
m= 3, -3
Step-by-step explanation:
Hope this helps!
Help please? It due today and I don’t understand
Answer:
times it
Step-by-step explanation:
Describe this scatter plot
Answer:
It is a negative correlation there is one outlier, it is going from the top left to the bottom right. a line could be drawn through it. it could be linear but i would say non linear.
Step-by-step explanation:
Answer:
Negative correlation
Step-by-step explanation:
The trend shown by the data points appear to be downward sloping, indicating negative correlation between the variables
A circle has the equation x2+12y+22x+y2−167=0.
What is the equation of the circle in standard form?
(x−11)2+(y−6)2=324
(x+11)2+(y+6)2=184
(x−11)2+(y−6)2=184
(x+11)2+(y+6)2=324
Answer:
[tex](x + 11)2 + (y + 6)2 = 184[/tex]
Answer: The answer would be (x+11)2+(y+6)2=324
Step-by-step explanation: I just got it right on my test :)
What is the y-intercept of y= -3x
Answer:
there is no y intercept. if there was it would be at the end of -3x
Will mark right answer brainlliest
the product of 4 and 1/6 is _
Answer:
2/3
Step-by-step explanation:
(PLEASE HELP FASTT I WILL MARK YOU BRAINLY ) Based on the information in the table, is the cost of the apples proportional to the
weight of apples?
ponds of apples:
2
3
4
5
cost of apples
$3.76
$5.64
$7.52
$9.40
yes or no?
Answer:
Yes
Step-by-step explanation:
Each apple costs 1.88
So 2 apples costs 3.76
And 3 apples costs 5.64, and so on
Answer:
i thank no cause see the price should go down not up
Step-by-step explanation:
The retail price of red delicious apples was around 1.32 U.S. dollars per pound in the United States in 2017, up from about 0.82 U.S. dollars per pound in 2000.Jan 31, 2020
Two different websites offer the same watch for sale. The watch costs $45 on both sites. The site, Watches for Less charges a shipping fee of 4% of the cost of the watch. The site, Tick Tock charges 2.5% of the cost of the watch for shipping. How much less will the total cost of the watch be if purchased from Tick Tock?
Round your answer to the hundredths place.
Final answer:
The total cost of the watch will be $0.67 less if purchased from Tick Tock.
Explanation:
To find out how much less the total cost of the watch will be if purchased from Tick Tock, we need to calculate the shipping fee for both websites and subtract that amount from the total cost.
For Watches for Less, the shipping fee is 4% of $45, which is $1.80.
For Tick Tock, the shipping fee is 2.5% of $45, which is $1.13.
Therefore, the total cost of the watch from Tick Tock will be $45 - $1.13 = $43.87. The total cost from Watches for Less will be $45 - $1.80 = $43.20.
The difference in the total cost is $43.87 - $43.20 = $0.67.
Therefore, the total cost of the watch will be $0.67 less if purchased from Tick Tock.
Devora tested two engines. As each engine's rotation got faster, its temperature increased at a constant rate.
The first engine's temperature (in degrees Celsius) as a function of its rotation speed (in cycles per second) is given by the following table of values:
The Table is for the first engine below
For the second engine, the graph is below
The temperature of which engine increased more for each increase of 1 cycles per second?
Choose 1 answer:
(Choice A)
A
The first engine
(Choice B)
B
The second engine
(Choice C)
C
The temperatures of both engines increased the same
Which engine was hotter when it rotated at 20 cycles per second?
Choose 1 answer:
(Choice A)
A
The first engine
(Choice B)
B
The second engine
(Choice C)
C
Both engines were equally hot
To compare the rates of temperature increase for the two engines, you can look at the slopes of their temperature vs. rotation speed graphs. To determine which engine was hotter at a rotation speed of 20 cycles per second, you can compare the corresponding temperature values on the graphs.
Explanation:The question asks which engine's temperature increases more for each increase of 1 cycle per second. To determine this, we need to compare the rates of change of temperature for both engines. The rate of change of temperature for the first engine can be determined by finding the slope of the temperature vs. rotation speed graph. From the graph, it can be seen that the slope of the line connecting two points on the graph represents the rate of change of temperature per unit increase in rotation speed. By comparing the slopes of the two graphs, we can determine which engine's temperature increases more for each increase of 1 cycle per second.
To determine which engine was hotter when it rotated at 20 cycles per second, we can look at the corresponding temperature values on the graph. By finding the temperature value for each engine when the rotation speed is 20 cycles per second, we can compare the two temperatures to determine which engine was hotter.
Which statement is true about point Y?
Answer:C
Step-by-step explanation:
Examine the diagram.
Parallel lines a and b are crossed by transversal t to create 8 angles. Clockwise from top left, the angles are blank, 60.75 degrees, blank, blank; 2, 1, blank, blank.
What are the measures of angle 1 and angle 2?
The m Angle1 is degrees.
The m Angle2 is degrees
Answer:
[tex]m\angle 1 =60.75^\circ \\m\angle 2 =119.25^\circ[/tex]
Step-by-step explanation:
From the diagram:
[tex]m\angle 1 =60.75^\circ $(Corresponding Angles)\\[/tex]
Now Angle 1 and Angle 2 are on a straight line, therefore:
[tex]m\angle 1 +m\angle 2 =180^\circ $(Linear Postulate)\\Since m\angle 1=60.75^\circ\\60.75^\circ +m\angle 2 =180^\circ\\m\angle 2=180^\circ-60.75^\circ\\m\angle 2 =119.25^\circ[/tex]
Answer: 60.75
119.25
Step-by-step explanation:
Help me out please..
Answer:
[tex]g(x) = \frac{3}{4} {x}^{2} [/tex]
Julius needs to determine how much information needs to be given about an isosceles triangle to be able to draw an isosceles triangle. He is looking at six different cases and is trying to determine if that amount of detail will allow him to construct just one isosceles triangle or if it allows for more than one isosceles triangle.
To uniquely construct an isosceles triangle, you would either need the lengths of two sides and the angle between them, two sides and the angle opposite to one of them, or two angles and any side.
Explanation:Julius is examining the principles of constructions in geometry. To construct a unique isosceles triangle, certain specific information is needed. An isosceles triangle is a triangle with two sides of equal length, and the angles opposite these sides are of equal measure too.
In general, there are three common cases in which the information given would be enough to construct only one unique isosceles triangle:
Two side lengths and the angle between them (SAS)Two sides and the angle opposite to one of them (SSA)Two angles and any side (AAS)If other information is given, it may or may not be possible to construct a unique isosceles triangle. For example, given only the lengths of two sides, multiple different isosceles triangles can be made, depending on the size of the included angle.
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Is triangle ABC=DCB? Complete the table to prove or disprove this statement
Answer:
ABC ≅ DCB by SAS
Step-by-step explanation:
1. Segment DB ≅ segment AC because it was given
2. Angle C ≅ angle B because it was given
3. Segment CB ≅ segment CB because of Reflexive Property
4. Triangle ABC ≅ DCB because of SAS (side-angle-side postulate)
Hope I helped and please give me brainliest!
How many seconds are in 35 minutes
Answer:
2100 seconds
Step-by-step explanation:
60x35=2100
Answer:
2100 seconds.
Step-by-step explanation:
There are 60 seconds in 1 minute.
Multiply 60 with 35:
60 x 35 = 2100
2100 seconds is your answer.
~
Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored between 455 and 573 on the exam?
Answer:
Probability that the student scored between 455 and 573 on the exam is 0.38292.
Step-by-step explanation:
We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.
Let X = Math scores on the SAT exam
So, X ~ Normal([tex]\mu=514,\sigma^{2} =118^{2}[/tex])
The z score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean score = 514
[tex]\sigma[/tex] = standard deviation = 118
Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)
P(455 < X < 573) = P(X < 573) - P(X [tex]\leq[/tex] 455)
P(X < 573) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{573-514}{118}[/tex] ) = P(Z < 0.50) = 0.69146
P(X [tex]\leq[/tex] 2.9) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{455-514}{118}[/tex] ) = P(Z [tex]\leq[/tex] -0.50) = 1 - P(Z < 0.50)
= 1 - 0.69146 = 0.30854
The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.
Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = 0.38292
Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.
There are 1000 tickets. Of these, 75 are winning tickets. How likely are you to win the lottery if you take one ticket?
Answer:
7.5%
Step-by-step explanation:
75 is 7.5% of 1000
Hope this helps!
Chris says that 3/4 is halfway between 0.5 and 100%. is he correct
Answer:
Yes!
Step-by-step explanation:
0.5 is half, and 1.00 is whole so 3/4 would be correct because it is in between 0.5 and 1.00
Yes, Chris says that 3/4 is halfway between 0.5 and 100%.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
Chris says that 3/4 is halfway between 0.5 and 100%.
Midway of 0.5 and 1 is,
(1 + 0.5)/2 = 0.75
100% as a decimal is 1.0.
That means,
3/4 = 0.75.
0.5 < 0.75 < 1
Therefore, Chris is correct.
To learn more about the inequality;
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4x^2+16x-4=?
A. 2x(2x^2+8x-2)
B. 2(2x^2+8-2)
C. 4x(x^2+4x-1)
D. 4(x^2+4x-1)
Answer:
What was the most important thing you learned during AlcoholEdu?
Step-by-step explanation:
HELP I WILL GIVE U A FREE HUG!!!!!!
Answer:
the screen it very tight( squished together)
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=2x²-12x-32
=2(x²-6x+9-9)-32
=2(x-3)²-18-32
=2(x-3)²-50
so vertex is (3,-50)
again 2x²-12x-32=0
or x²-6x-16=0
or x²-8x+2x-16=0
or x(x-8)+2(x-8)=0
(x-8)(x+2)=0
x=8,-2
8>-2
d=8
e=-2
f=3