Given the expression;
\(12x-18y+24\)We shall take the common factors as shown below;
\(\begin{gathered} 12x=2\times2\times3\times x \\ 18y=2\times3\times3\times y \\ 24=2\times2\times2\times3 \end{gathered}\)We can now take all the common factors as follows;
\(2,3\)Note that other values are not common to all three numbers. Hence what we have as the greatest common factor is the product of 2 and 3.
The greatest common factor therefore is 6.
A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.
The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).
To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.
Next, we calculate the standard error (SE) using the formula:
SE = standard deviation / √sample size
In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156
Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)
Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363
This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.
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In the picture below, angle 2 = 130 degrees, what is the measurement of angle 8?
Answer:
130°
Step-by-step explanation:
Alternate interior angles are equal in measure.
How much would you need to deposit in an account now in order to have $5,000.00 in the account in 821 days?
Assume the account earns 5 % simple interest.
You would need to deposit ___
in your account now.
The principal investment required to get an accrued amount of $5,000.00 in 821 days is $4,494.52.
What is the principal need for the investment?Simple interest is expressed as;
A = P(1 + rt)
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given that;
Accrued amount A = $5,000.00Elapsed time t = 821 days = 821/365 yrsInterest rate r = 5% = 5/100 = 0.05Principal P = ?Plug the given values into the above formula and solve for principal P.
A = P(1 + rt)
P = A / (1 + rt)
P = $5,000.00 / ( 1 + ( 0.05 × 821/365 ) )
P = $5,000.00 / ( 1 + 821/7300 )
P = $5,000.00 / ( 8121/7300 )
P = $4,494.52
Therefore, the principal required is $4,494.52.
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Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?
6 cm
18 cm
ООО
24 cm
28 cm
(50 points)
Answer: It is 18
Step-by-step explanation:
Answer:
18cm
Step-by-step explanation:
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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Match the later drop-down
1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.
2 The expression 3ˣ⁺¹=3 is matched with graph C.
3) The expression 4ˣ = 3 is matched with graph
4 ) The expression 1ˣ/4 = 3 is matched with graph
What is the explanation for the above?1) The graph of the expression 2⁻ˣ⁺³ = 3 represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).
2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.
3) The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.
4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.
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The circumference of the hub cap of a tire is centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answer:
Area of the hub = 470.42 cm² (Approx.)
Step-by-step explanation:
Missing information;
Circumference of the hub = 76.87 cm
Value of π = 3.14
Find:
Area of the hub
Computation:
Circumference of the hub = Circumference of circle
2πr = 76.87
2(3.14)r = 76.87
6.28r = 76.87
Radius of hub = 12.24 cm
Area of the hub = Area of circle
Area of the hub = πr²
Area of the hub = (3.14)(12.24)²
Area of the hub = (3.14)(149.8176)
Area of the hub = 470.42 cm² (Approx.)
Yes, If the circumference of the hub cap were smaller, Area will be small too.
Which shows the correct solution of the equation 1/2 a + 2/3 b, when ? b=30
Answer:
The answer is 1/2a + 20
Step-by-step explanation:
Given;1/2a + 2/3bb = 30Now, Substitute value of b
1/2a + 2/3b
1/2a + 2/3(30)
1/2a + 2 × 10
1/2a + 20 = a/2 + 20 = (a + 40) ÷ 2
Thus, The answer is 1/2a + 20
-TheUnknownScientist 72
I have a circle that has a radius of 8 in. What is the circumference of the circle? What is the area of the circle? ( use 3.14 for pi).Explain your steps. Please Give A clear explanation The best answer gets brainliest.
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
MARK SNOG AS BRAINLIEST
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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find the z score for which 70% of the distributions area lies to its right
Hence, a z-score of -0.52 indicates that 70% of a distribution's area is to its right. As a result, the distribution's 70% of data values are more over -0.52 standard deviations from the mean.
How is a percentage calculated?
By dividing the value by the entire value and multiplying the result by 100, the percentage may be calculated. The percentage is calculated using the following formula: (value/total value)100%.
We need to use the conventional normal distribution table or even a calculator with just a normal distribution function to determine the z-score which corresponds to 70% of a distribution's area lying towards its right.
1 - 0.70 = 0.30 is the area to a left of the z-score. The z-score for this region is what we're looking for.
In a typical normal distribution table, the z-score which corresponds to an area of 0.30 is:
z = -0.52 (rounded to two decimal places)
So, the z-score for which 70% of the distribution's area lies to its right is -0.52. This means that 70% of the data values in the distribution are greater than -0.52 standard deviations from the mean.
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Explain find the z score for which 70% of the distributions area lies to its right
PLEASSSSSSSSEEEEE HELPPP
whats 3.8 = x -3.4
Step-by-step explanation:
i thik 12.92 not sure.............☺️
Answer:
The answer will be X=7.2! :D. Hopefully this will help others as well!
which diagram below appears to show a pair of perpendicular lines Diagram A Diagram B Diagram C. Explain your Answer.
The answer for it is diagram B because it does not cross or have parallel lines
Multiply.
10(-6)(0)(-4)
Answer:
Answer is zero
Step-by-step explanation:
Any number multiplied to zero is zero
\(.\)
Answer:
0
Step-by-step explanation:
Il give brainliest to correct answer
Answer:
x=18
Step-by-step explanation:
brainliest?
On his trip to meet Clare, Kiran brought his dog with him. At the same time Kiran
and Clare started walking, the dog started running 6 miles per hour. When it got to
Clare it turned around and ran back to Kiran. When it got to Kiran, it turned around
and ran back to Clare, and continued running in this fashion until Kiran and Clare
met. How far did the dog run?
According to the given distance, the dog can run on 22.5 miles
Distance:
Distance refers the the length of the line joining the two points. Here the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.
Given,
On his trip to meet Clare, Kiran brought his dog with him.
Here at the same time Kiran and Clare started walking, the dog started running 6 miles per hour.
When they got to Clare it turned around and ran back to Kiran. And when it got to Kiran, it turned around and ran back to Clare, and continued running in this fashion until Kiran and Clare met.
Here we know that they meet after 3.75 hours.
And we know that the dog was running 6 miles per hour
So, for 3.75 hours, it can be calculated as,
=> 3.75 x 6
=> 22.5
Therefore, then the dog can ran 22.5 miles.
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derivative of 2 tan^3(x)+5 csc^4(x) ?
Answer:
f'(x) = 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]
Step-by-step explanation:
f' of tan(x) = sec²(x)
f' of csc(x) = -csc(x)cot(x)
General Power Rule: uⁿ = xuⁿ⁻¹ · u'
Step 1: Write equation
2tan³(x) + 5csc⁴(x)
Step 2: Rewrite
2(tan(x))³ + 5(csc(x))⁴
Step 3: Find derivative
d/dx 2(tan(x))³ + 5(csc(x))⁴
General Power Rule: 2 · 3(tan(x))² · sec²(x) + 5 · 4(csc(x))³ · -csc(x)cot(x)Multiply: 6(tan(x))²sec²(x) - 20(csc(x))³csc(x)cot(x)Simplify: 6tan²(x)sec²(x) - 20csc⁴(x)cot(x)Factor: 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
A spinner divided into three equal sections marked A A and Z is spun 570 times approximately how many times will it be expected to land on an A
If a spinner divided into three equal sections marked A A and Z is spun 570 times . The number of times it will be expected to land on an A is 380 times.
How to find the Expected number of time ?Since the spinner has three equal sections in which two of them are marked A. The probability of landing on an A in a single spin will be 2/3 while the probability of landing on Z will be 1/3.
So,
Expected number of time E(A) =Number of spins x Probability of landing on A
Expected number of time E(A) = 570 x (2/3)
Expected number of time E(A) = 380
Therefore the Expected number of time E(A) is 380 times.
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Which statements are true about the figure? Check all that apply,
The figure is a triangular prism,
The figure is a rectangular pyramid,
The figure has 6 vertices,
The figure has 6 faces,
The figure has 9 edges,
WILL MARK 5 STARS PLEASE SOS
Kwame is given the graph below.
Which of the following best describes the graph?
a quadratic equation with differences of 1, then 2, then 4, ...
an exponential function with a growth factor of 2
a quadratic function with a constant difference of 2
an exponential function with growth factors of 1, then 2, then 4, ..
The best description of the graph is "a quadratic function with a constant difference of 2."
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.
In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.
On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.
Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.
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The graph of which equation passes through the point (3,0) and has aslope of -5?
The equation is D. -5x+15.
Help me pleasseeeeee
Answer:
x-7/ x+7
^ fraction ^
Step-by-step explanation:
need to find the m and b
Answer:
the answer of m= +9 and the b= -9
colleen is searching online for airline tickets. Two weeks ago, the cost to fly from boston to hartford was $200. now its cost $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
A) 70%
B) 95%
Step-by-step explanation:
A) $200 to $340
Increase = $340 - $200 = $140
Percentage of increase = $140/$200 * 100% = 70%
B) Additional $50
Increase = $140 + $50 = $190
Percentage of increase = $190/$200 * 100% = 95%
To factor 4x^2-25, you can first rewrite the expression as:
a. (2x-5)^2
b. (2x)^2-(5)^2
c. (x)^2-(2)^2
d. None of the above
To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:
b. (2x)^2 - (5)^2
Using the difference of squares formula, we can factor it as follows:
(2x + 5)(2x - 5)
Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.
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Find the slope of the line
Answer:
5/6
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (3- -2)/(3 - -3)
m = (5)/(6)
m = 5/6
Find the indicated angle (value of O) to the nearest degree.
Answer:
So what's the angle? Can you attach a pic please?
Step-by-step explanation:
In ΔIJK, the measure of ∠K=90°, IK = 39, JI = 89, and KJ = 80. What ratio represents the sine of ∠I?
Answer: 80/89
Step-by-step explanation:
Answer:
80/89
Step-by-step explanation:
delta math told me
Math Questions........