A) 130 is 20% percent of 650.
Percent Proportion - 130 : 650 = 1 : 5
Percent Equation - 130 = 20% × 650
What is polynomials?Percentage means a number οr a ratiο represented in the fοrm οf fractiοns οf 100. It is represented using the percentage sign ‘%’. The abbreviatiοns used tο represent the percentage are ‘pct’ οr ‘pc’. In οther wοrds, the percentage is defined as hοw much οf οne quantity is made by anοther quantity and it is evaluated in terms οf 100.
A) Let x be the unknown percentage.
130 is x% of 650
130 = x/100 × 650
13x = 260
x = 20
Percent Proportion - 130 : 650 = 1 : 5
Percent Equation - 130 = 20% × 650
B) $5.40 is x% of $4.50
5.40 = x/100 × 4.50
9/2x = 540
x = 120
Percent Proportion - 5.40 : 4.50= 6 : 5
Percent Equation - 5.40 = 120% × 4.50
C) $8.40 is x% of $28
8.40= x/100 × 28
7x = 210
x = 30
Percent Proportion - 8.40 : 28 = 3 : 10
Percent Equation - 8.40 = 30% × 28
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Jason drops a ball from a balcony. The height of the ball is represented by the equation
y = -4.9x² +9.8, where y represents the height in meters and x represents the number
of seconds that pass. After approximately how many seconds will the ball reach the
ground?
A 0.7
B 1.4
C1.9
D 2.6
After approximately 1.4 seconds will the ball reach the ground.
The relation between height and the time in seconds is,
y = -4.9x² + 9.8
Here y represent height in meters and x is time in seconds.
Let us assume that the origin is on the ground,
Now we know,
If the ball is dropped from the top at t = 0.
It will reach down to the ground after x seconds.
When it will down to the ground, and the value of y will become zero,
We can write,
y = -4.9x² + 9.8
0 = -4.9x² + 9.8
4.9x² = 9.8
x² = 2
x = √2
x = 1.41 seconds.
The time taken by ball to reach down to the ground is 1.41 seconds.
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What is an equation of the line that passes through the points (2,6) and (1, 1)?
Answer: y=5x+b
Step-by-step explanation:
I used the slope intercept equation, which supplied me the solution.
m=5
b=0
ASAPPPPP!!!!!!!!!!!!!!
Answer:
297 \(cm^{2}\)
Step-by-step explanation:
area of triangle x 4 + area of rectangle
\(\frac{1}{2}\) x 12 x 9 x 4+ 9 x 9
last problem thanks for your help i could go to sleep now
Mat A has more cmvalue because b is filled with negative
5x + 3y = 12
x - 4y= 7
Answer:
x = 3
y = -1
Step-by-step explanation:
5x + 3y = 12
x - 4y= 7
Times the second equation by -5
5x + 3y = 12
-5x + 20y = -35
23y = -23
y = -1
Now put -1 back in for y and solve for x
x - 4(-1) = 7
x + 4 = 7
x = 3
Let's check
3 - 4(-1)= 7
3 + 4 = 7
7 = 7
So, x = 3 and y = -1 is the correct answer.
Explain why √x + 1 + 5 = 3 has no solutions.
Answer:
Step-by-step explanation:
Because even if you keep trying to find the solution it won't give you the solution so that'll mean there is NO solution
I hope this helped, plz rate 5 stars, give thanks, and Mark as brainilest (Probably) That'll be much appreciated
Because, When x=9, the original equation
\( \sqrt{x} + 1 + 5 = 3\)
does not hold true.
We will drop x=9 from the solution set.
thats why this this equation has no solution.
Leo knows that each time a dight moves one place to the left in a whole number, the value of the dight is 10 times as much
Describe an example you would show to Leo to
demonstrate that this is true for decimal numbers also.
Help me if you may
The example regarding the values of digits is also true for decimal numbers, as we showed with 0.52.
How do values of digits work?For the integer part of a number, the unit digit is worth 1, and for each subsequent digit, moving left, the value of the digit is multiplied by 10. For example 22, 22 = 2 x 10 + 2 x 1 = 22.For the fractional part of a number, the first decimal digit is worth 0.1, and for each subsequent digit, moving right, the values is divided by 10.For example, for the decimal 0.52.
.52 = 5 x 0.1 + 2 x 0.01 = 0.52.
Hence, moving a digit one place to the left, the value is 10 times as much, as we saw with digits 5 and 2 in the number 0.52.
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If two cards are drawn without replacement from an ordinary deck, what is the probability that the second card is a face card, given that the first is a jack? 5. We have two events E and F, and P(E)=.75,P(F)=.65 and P(E∩F)=.50 a. P(E∪F) b. P(E∣F) P(F∣E) d. P(E ′
∣F) P(E ′
∣F ′
)
a. P(E∪F) is approximately 0.90.
b. P(E∣F) to be approximately 0.7692.
c. P(F∣E) is approximately 0.6667.
d. We compute P(E'∣F) as 1 minus P(E∣F), resulting in approximately 0.2308.
e. Since P(E∣F') is not provided, we cannot determine P(E'∣F') without additional information.
a. To calculate P(E∪F), we can use the formula:
P(E∪F) = P(E) + P(F) - P(E∩F)
Substituting the given values, we have:
P(E∪F) = 0.75 + 0.65 - 0.50 = 0.90
b. To calculate P(E∣F) (the conditional probability of E given F), we can use the formula:
P(E∣F) = P(E∩F) / P(F)
Substituting the given values, we have:
P(E∣F) = 0.50 / 0.65 ≈ 0.7692
c. To calculate P(F∣E) (the conditional probability of F given E), we can use the formula:
P(F∣E) = P(E∩F) / P(E)
Substituting the given values, we have:
P(F∣E) = 0.50 / 0.75 = 0.6667
d. To calculate P(E'∣F) (the conditional probability of the complement of E given F), we can use the formula:
P(E'∣F) = 1 - P(E∣F)
Substituting the value of P(E∣F) calculated earlier, we have:
P(E'∣F) = 1 - 0.7692 ≈ 0.2308
e. To calculate P(E'∣F') (the conditional probability of the complement of E given the complement of F), we can use the formula:
P(E'∣F') = 1 - P(E∣F')
Since P(E∣F') is not given, we cannot calculate P(E'∣F') without additional information.
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1.
(-102? + 7k+6X4)+(-14 – 464 – 14K)
-
What is the resulting expression?
O2k4-10K2-7k-14
O-1062-7k+244-14
0 -17k2+10k4-14k-14
O 6k4-14k2 +7k-14
Answer:
-7k
Step-by-step explanation:
(−102+7k+6×4)+(−14−464−14k)
Multiply 6 and 4 to get 24.
−102+7k+24−14−464−14k
Add −102 and 24 to get −78.
−78+7k−14−464−14k
Subtract 14 from −78 to get −92.
−92+7k−464−14k
Subtract 464 from −92 to get −556.
−556+7k−14k
Combine 7k and −14k to get −7k.
−556−7k
This toy barn has floor dimensions of 2 in. by 3 in. The height of the roof is 0.5 in. If the volume of the barn is 16.5 in.3, what is the height of the rectangular prism section of the toy barn?
2 inches
2.5 inches
3 inches
3.5 inches
Answer:
2.5 inches
Step-by-step explanation:
woot
Answer:
2.5
Step-by-step explanation:
is XYZ a right triangle if x=12 y=17 and z=20
\(\huge\text{Hey there!}\)
\(\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}\)
\(\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}\)
\(\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
HURRY, PLEASE HELP!!!
Answer:
Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.
The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.
Use the distributive property to remove the parentheses.
-7 ( -2w - 4y + 1 )
Answer: \(14w+28y-7\)
Step-by-step explanation:
multiply everything by -7
Answer:
Step-by-step explanation:
14w+28y-7
Find the area of each use your pi value calculator around your answer to the nearest tenth
Answer:
1. Area of a circle = 452.2 m²
2. Area of a circle = 1,017.4 ft²
Step-by-step explanation:
Area of a circle = πr²
1.
When radius, r = 12 m
π = 3.14
Area of a circle = πr²
= 3.14 * (12m)²
= 3.14 * 144 m²
= 452.16 m²
Approximately to the nearest tenth,
Area of a circle = 452.2 m²
2.
When radius, r = 18 ft
π = 3.14
Area of a circle = πr²
= 3.14 * (18 ft)²
= 3.14 * 324 ft²
= 1,017.36 ft²
Approximately to the nearest tenth,
Area of a circle = 1,017.4 ft²
Tell me the answer please. Give me a short answer and a step-by-step explanation.
two cyclists, 42 miles apart, start riding toward each other at the same time. one cycles 2 times as fast as the other. if they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
The speed of the faster cyclist is 14\ miles/hr.
What is speed?
It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.
Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,
\(2s+s=42\\3s=42\\s=14\)
Now, distance coverd by the first cyclist is \(2s=2\times 14\\=28 \ $miles\).
Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.
\(Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr\)
Hence, the speed of the faster cyclist is 14\ miles/hr.
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Find the inflection points of f(x) = 4x4 + 39x3 - 15x2 + 6.
The inflection points of the function f(x) = \(4x^4 + 39x^3 - 15x^2 + 6\) are approximately x ≈ -0.902 and x ≈ -4.021.
To find the inflection points of the function f(x) =\(4x^4 + 39x^3 - 15x^2 + 6,\) we need to identify the x-values at which the concavity of the function changes.
The concavity of a function changes at an inflection point, where the second derivative of the function changes sign. Thus, we will need to find the second derivative of f(x) and solve for the x-values that make it equal to zero.
First, let's find the first derivative of f(x) by differentiating each term:
f'(x) = \(16x^3 + 117x^2 - 30x\)
Next, we find the second derivative by differentiating f'(x):
f''(x) =\(48x^2 + 234x - 30\)
Now, we solve the equation f''(x) = 0 to find the potential inflection points:
\(48x^2 + 234x - 30 = 0\)
We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:
x = (-b ± √\((b^2 - 4ac\))) / (2a)
Plugging in the values from the quadratic equation, we have:
x = (-234 ± √(\(234^2 - 4 * 48 * -30\))) / (2 * 48)
Simplifying this equation gives us two potential solutions for x:
x ≈ -0.902
x ≈ -4.021
These are the x-values corresponding to the potential inflection points of the function f(x).
To confirm whether these points are actual inflection points, we can examine the concavity of the function around these points. We can evaluate the sign of the second derivative f''(x) on each side of these x-values. If the sign changes from positive to negative or vice versa, the corresponding x-value is indeed an inflection point.
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A total of four buses carrying 148 students from the same school arrives at a football stadium. The buses carry 40, 33, 25 and 50 students, respectively. One of the students is randomly selected. Let X be the number of students that were on the bus carrying this randomly selected student. One of the four bus drivers is also randomly selected. Let Y be the number of students on her bus.
(a) Which of EX or EY do you think is larger? Why?
(b) Compute EX and EY .
EY to be larger than EX, in both the cases in which is consistent with our earlier reasoning on using probabilities of each bus being selected.
(a)if we assume that the distribution of the number of students on each bus is roughly uniform, then we might expect EY to be larger than EX, since the bus with the most students (50) has a higher chance of being selected than any of the other buses.
(b) To compute EX, we can use the law of total probability:
EX = (40/148)*40 + (33/148)*33 + (25/148)*25 + (50/148)*50
= 32.96
To compute EY, we need to take into account the fact that each bus has a different probability of being selected, since there are four buses and one driver is chosen at random. Let p1, p2, p3, and p4 be the probabilities of each bus being selected, respectively. Then we have:
p1 = 40/148, p2 = 33/148, p3 = 25/148, p4 = 50/148
The expected value of Y can be computed as:
EY = p140 + p233 + p325 + p450
= 0.270340 + 0.222933 + 0.168925 + 0.337850
= 38.62
Therefore, in this case, EY is larger than EX, which is consistent with our earlier reasoning.
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Luke listens to the three most popular songs on the radio this week. The length of each song is shown. #1 song: 3 1/2 minutes #2 song: 2 57/60 minutes #3 song: 4 3/4 minutes
Answer:
11 1/5 minutes
Step-by-step explanation:
Luke listens to the three most popular songs on the radio this week. The length of each song is shown. #1 song: 3 1/2 minutes #2 song: 2 57 /60 minutes #3 song: 4 3/4 minutes. What is the length of the three songs all together?
song 1: 3 1/2 minutes
song 2: 2 57 /60 minutes
song 3: 4 3/4 minutes
Total length of the three songs = song 1 + song 2 + song 3
= (3 1/2 + 2 57/60 + 4 3/4) minutes
= 7/2 + 177/60 + 19/4
= (210+177+285) / 60
= 672/60
= 56/5
= 11 1/5 minutes
Total length of the three songs = 11 1/5 minutes
750 is what percent of 600?
Tell whether x = 4 is a solution of x + 2 > 10.Ο Νο.o Yes
The expression given is
\(x+2>10\)Simplifying the expression will yield
\(\begin{gathered} x>10-2 \\ x>8 \end{gathered}\)This means the values of x are greater that 8
But 4 is not greater the 8
Hence
\(x\ne4\)Therefore x=4 is not a solution, the right option is No
pls send the correct answer
Answer:
B,A,C
Step-by-step explanation:
The smallest angle is found in front of smallest side therefore the smallest angle is B since the smallest side is AC.Hope you understand
Simplify -2/5 + 4/3. What is the answer?
Answer:
Exact Form:
14 /15
Decimal Form:
0.93
Step-by-step explanation:
Answer:
14/15
Step-by-step explanation:
-2/5 + 4/3
= 14/15
What is the percent of decrease from 400,000 to 20,000?
Answer:
95% decrease
Step-by-step explanation:
Subtract starting value minus final value
Divide that amount by the absolute value of the starting value
Multiply by 100 to get percent decrease
If the percentage is negative, it means there was an increase and not an decrease.
The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons
Answer:
B. 25,000 tons
Step-by-step explanation:
The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.
X+7/2=-1
(Show all work)
Answer:
\(x + \frac{7}{2} = - 1 \\ x = - 1 - \frac{7}{2} \\ x = \frac{ - 2 - 7}{2} \\ x = \frac{ - 9}{2} \\ \)
I hope this help you
Answer:
\(x = - \frac{9}{2} \)
Step-by-step explanation:
(1. Subtract 7/2 From Both Sides
\(x = - 1 - \frac{7}{2} \)
(2. Simplify -1 - \(\frac{7}{2} to - \frac{9}{2} \)
\(x = - \frac{9}{2} \)
Decimal Form: -4.5
In a level-C confidence interval about the proportion p of some outcome in a given population, the margin of error, m, is o the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population. the minimum distance between the sample statistic and the population parameter in C% of random samples of the same size from that population. o the maximum distance between the sample statistic and the population parameter in C% of random samples of the same size from that population. O the minimum distance between the sample statistic and the population parameter in any random sample of the same size from that population.
The margin of error in a level-C confidence interval is the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population
In a level-C confidence interval about the proportion p of some outcome in a given population, the margin of error (m) represents the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population.
The margin of error is a measure of the precision or uncertainty associated with estimating the true population proportion based on a sample. It reflects the variability that can occur when different random samples are taken from the same population.
When constructing a confidence interval, a level-C confidence level is chosen, typically expressed as a percentage. This confidence level represents the probability that the interval contains the true population parameter. For example, a 95% confidence level means that in repeated sampling, we would expect the confidence interval to contain the true population proportion in 95% of the samples.
The margin of error is calculated by multiplying a critical value (usually obtained from the standard normal distribution or t-distribution depending on the sample size and assumptions) by the standard error of the sample proportion. The critical value is determined by the desired confidence level, and the standard error accounts for the variability in the sample proportion.
The margin of error provides a range around the sample proportion within which we can confidently estimate the population proportion. It represents the uncertainty or potential sampling error associated with our estimate.
To summarize, the margin of error in a level-C confidence interval is the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population. It accounts for the variability and uncertainty in estimating the true population proportion based on a sample, and it helps establish the precision and confidence level of the interval estimation.
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to graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. where do you come up with the values to use in the graph
When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.
The T-chart employs positive real numbers since this is the most typical form of exponential function.
Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.
The exponential function can be represented by the following equation:
\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.
When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.
The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.
Therefore, the correct answer is option A.
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Which expression is modeled by this set of arrows on the number line?
A number line going from negative 8 to positive 8. An open circle is at 0. An arrow goes from 0 to negative 3, and from negative 3 to negative 6.
1 Negative 6 divided by (negative 3)
2 Negative 6 divided by 3
3 6 divided by (negative 3)
4 6 divided by 3
Answer:
A -6 divided by (-3)
Step-by-step explanation:
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