How do you find the square root of 1764 using a factor tree?

Answer:

Here is your answer . hope it helps.

Answer:

7.5

Step-by-step explanation:

Percent Error =  

Vobserved - Vtrue

Vtrue

=  

5.7 - 5.3

5.3

=  

0.4

5.3

=  7.5471698113208%

Answer:7.5

Step-by-step explanation:

Answer:

53.3333333333333

Step-by-step explanation:

I just divied 600 with 11.25

Answer:

p=2.5

Step-by-step explanation:

H:S:L

x:3x:3x-4

x+3x+3x-4=52

7x-4=52

7x=56

x=8

H:S:L

8:24:20

H:L

8:20

1:2.5

so p=2.5

Answer:

The percentage of Americans which have both type A and B in their blood is 7%

Step-by-step explanation:

People with Type A: 43% = 0.43

People with Type B: 15% = 0.15

People with neither: 46% =  0.46

Since 46% have neither,so,

1-0.46 = 0.54 = 54%

54% will have type A or type B or both

Now, out of these, if we remove the 15% with type B,

we are left with,

0.54-0.15 = 0.39

These people don't have type B but have type A

Finally, since 0.46 have type A, the remaining 0.46-0.39 = 0.07 will have both type A and type B

So the percent of Americans which have type A and B in their blood is 7%

Answer: hi!  i really hope my explaination helps you understand this! pls vote for brainliest

the percentage should finally = 7 percent

reasoning ;

population with type a is 43 percent.  

population with type b is 15 percent .

46 percent have neither.

we would then do this calculation:

1 minus 46 percent = 0.46 which  should equal 54 percent so then when we remove type b we should be left with this 54 percent -15 percent equals 39 percent or 0.39. so then,  0.07 ( the amount of people who have both type a and b ) should be the answer.

i really hope this helped . please vote for brainliest!

Sample size required is 333, 42, 97 and 33,285, respectively using  confidence level and different parameters of standard deviation.

To estimate a population mean to within 40 units with 99% confidence and a population standard deviation of 200, the sample size required can be calculated using the formula

n = (Zα/2)² * (σ²) / (E²)

where Zα/2 is the z-score corresponding to the desired level of confidence (99% in this case), σ is the population standard deviation, and E is the desired margin of error (40 units).

Plugging in the values, we get

n = (2.576)² * (200)²/ (40)²

n = 332.84

Therefore, a sample size of at least 333 should be used.

If the population standard deviation is changed to 50, the same formula can be used with the new value of σ:

n = (2.576)² * (50)²/ (40)²

n = 41.68

Therefore, a sample size of at least 42 should be used.

If using a 95% confidence level, the z-score changes to 1.96

n = (1.96)² * (200)²/ (40)²

n = 96.04

Therefore, a sample size of at least 97 should be used.

To estimate the population mean to within 10 units, the margin of error (E) is changed to 10 in the formula, and the sample size is recalculated

n = (2.576)² * (200)² / (10)²

n = 33,284

Therefore, a sample size of at least 33,285 should be used.

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The required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

To determine the required sample size for estimating a population mean with a given level of confidence and margin of error, we can use the formula:

n = (Z * σ / E)^2

Where:

n = Sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of 2.576)

σ = Population standard deviation

E = Margin of error (in this case, 40 units)

Substituting the given values into the formula, we have:

n = (2.576 * 200 / 40)^2

Simplifying further:

n = (12.88)^2

n ≈ 165.6544

Since the sample size must be a whole number, we round up the value to the nearest integer:

n = 166

Therefore, the required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

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Answer:

The property used is Symmetric property of Equality.

Option B is correct option.

Step-by-step explanation:

We are given :

\(AR \cong TY\\\)

Which property will give the step:

\(TY \cong AR\\\)

Looking at the options:

We see that Symmetric property states that if a = b then b= a

Same is the case with the question.

We have :

\(AR \cong TY\\\\TY \cong AR\\\)

If a = AR and b = TY

then the property is: a = b, b=a

So, the property used is Symmetric property of Equality.

Option B is correct option.

Answer:

C: it increases

Step-by-step explanation:

An outlier is a data point that lies significantly out of the range of all of the other data points

Answer:

p = 1/3

Step-by-step explanation:

Total days in April = 30

Two digit odd days = 10

p =10/30

p = 1/3

Answer:

if the odd number is 2 then it will be 2/4 that would be the probability.

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

Answer:

12 centeters squared (cm^2)

Step-by-step explanation:

Area of a triangle is 1/2(base x hieght),

6 is h & 4 is b.

Answer:

.25 × $20 = $5

The discount is $5.

The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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Answer:

m= -2

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

4×3m=12m

4×-2=-8

12m-8=16

16+8=24

24/2

=12

Hope this helps! :)

The explicit solution of the initial value problem y′=y(y−1), y(0)=4 is y = 1/(1-3e^-x).

To find the explicit solution, we begin by separating the variables and integrating both sides:

dy/dx = y(y-1)

(dy/y(y-1)) = dx

Integrating both sides yields

ln|y-1| - ln|y| = -x + C

where C is a constant of integration.

We can simplify this expression by combining the logarithms using the identity ln(a/b) = ln(a) - ln(b):

ln|(y-1)/y| = -x + C

Taking exponential of both sides gives

|(y-1)/y| = e^(C-x)

Letting k = e^C, we can rewrite this as:

(y-1)/y = ± k e^-x

Rearranging and solving for y, we obtain:

y = 1/(1-k e^-x )

We can determine the value of k using the initial condition y(0) = 4:

4 = 1/(1-k)

Solving for k gives k = 3.

Substituting k=3 into the expression for y, we get:

y = 1/(1-3e^-x)

Therefore, the explicit solution of the initial value problem is y = 1/(1-3e^-x), where y(0) = 4.

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Answer:

m∠D = 94°

Step-by-step explanation:

Quadrilateral ABCD is also called a cyclic quadrilateral or a quadrilateral that is inscribed in a circle.

Opposite angles in a cyclic Quadrilateral are supplementary, i.e the sum of two opposite angles in a Quadrilateral = 180°

m∠A + m∠C = 180°

m∠A = 74°

74° + m∠C = 180°

m∠C = 180° - 74°

m∠C = 106°

In a cyclic quadrilateral, the total sum of the angles outside the circle = 360°

i.e =

m∠AB + m∠BC + mDC + mAD = 360°

m∠DAB= ( m∠C) × 2

= 106° × 2 = 212°

m∠DAB = m∠AD + m∠AB

m∠AD = 79°

212° = 79° + m∠AB

m∠AB = 212° - 79°

= 133°

m∠ABC = m∠AB + m∠BC

m∠AB = 133°

m∠BC= 55°

m∠ABC = 133° + 55°

= 188°

We are asked to find m∠D

m∠D = 1/2m∠ABC

m∠ABC = 188°

m∠D = 1/2 × 188°

m∠D = 94°

Therefore, m∠D = 94°

The correct answer is b.

The child's height is 1.5 standard deviations below the mean height for children his age.

A z-score is a measure of how many standard deviations an observation is away from the mean of the distribution. A z-score of -1.5 means that the child's height is 1.5 standard deviations below the mean height for children his age. This indicates that the child's height is lower than the average height of his peers.

Option a is incorrect because the z-score does not measure what the model predicted for the child's height, but rather how far the child's height deviates from the mean height of his peers.

Option c is incorrect because the z-score does not measure how low or high the child's height is in absolute terms, but rather how far it deviates from the mean.

Option d is partially correct but not specific enough, as the z-score tells us how much lower the child's height is compared to the mean, but not whether it is unusually low or not.

Option e is incorrect because the z-score is a measure of standard deviations, not inches.

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If a child's height has a z-score of -1.5, it means that the child's height is 1.5 standard deviations below the mean height for children his age. So the correct option is C.

The z-score measures the number of standard deviations a particular data point is from the mean of the distribution. A z-score of -1.5 indicates that the child's height is 1.5 standard deviations below the mean height for children his age. Since the z-score is negative, it means that the child's height is below the mean height for his age group. In other words, the child is shorter than what the model predicted for his height.

The mean height for children his age represents the average height of all children in that age group. Standard deviation measures the amount of variability in the height measurements of the children in that age group. A z-score of -1.5 indicates that the child's height is 1.5 standard deviations below the mean height for his age group. This means that the child's height is significantly lower than that of his peers.

Therefore, if a child's height has a z-score of -1.5, it means that the child's height is significantly lower than the mean height for children his age, and he is shorter than what the model predicted for his height.

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Answer: The nth term of the sequence whose integers are between 1 -9 such that there is the permission of repetition but no two consecutive digits must be even is 1.834 x \(10^{21}\)

Step-by-step explanation:

Given data,

Two people pair up to create a sequence. Each of them pick five random digits from 1 to 9.

Define Consecutive numbers :

Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive numbers, theme an and the median are Equal. If n is a number, then n, n+1, and n+2 would be consecutive numbers Examples. 1, 2, 3, 4, 5.

The numbers that are given:

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

              = (9!) x (8!) x (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

             = 362880 x 40320 x 5040 x 720 x 120 x 24 x 6 x 2 x 1

            \(n^{th}\) = 1.834 x \(10^{21}\)

Therefore,

The nth term of the sequence whose integers are between 1 -9 such that there is the permission of repetition but no two consecutive digits must be even is 1.834 x \(10^{21}\).

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To calculate the number of hands that contain exactly two 8s and two 9s, we first need to determine the number of ways we can choose 2 8s and 2 9s from the deck.

The number of ways to choose 2 8s from the deck is (4 choose 2) = 6, since there are 4 8s in the deck and we need to choose 2 of them. Similarly, the number of ways to choose 2 9s from the deck is also (4 choose 2) = 6. To find the total number of hands that contain exactly two 8s and two 9s, we need to multiply the number of ways to choose 2 8s and 2 9s together:
6 * 6 = 36
Therefore, there are 36 hands that contain exactly two 8s and two 9s, out of the total number of possible 7-card hands that can be chosen from a standard deck of playing cards.

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The probability that a randomly selected Manhattan resident spends New Year's Eve at Times Square, given that the resident is out of town on New Year's Eve, is 0.

If the resident is out of town on New Year's Eve, it implies that they are not present in Manhattan during that time. Therefore, it is not possible for them to spend New Year's Eve at Times Square if they are not in town.

Since the resident is out of town, the probability of them being at Times Square on New Year's Eve is zero. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the event of a resident being at Times Square on New Year's Eve is impossible because they are out of town.

Hence, the probability of a randomly selected Manhattan resident spending New Year's Eve at Times Square, given that they are out of town on New Year's Eve, is 0.

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Answer:

35............. ...........~

Answer:

35

Step-by-step explanation:

Because 75 only has 8 factors and 35 is the only factor of 70 in the 30's through 40's.

If you want to know the rest they are

1,2,5,7,10,14,35 and 70.

Have a great day :}

Answer:

$44.25

Step-by-step explanation:

12.5 + 2.75 + .5 + 20 + 8.5 =44.5

2.75 + .5 = 3.25

20 + 12.5 + 32.5

3.25 + 32.5 + 8.5 = 44.25

The volume of the solid bounded about the region y =0 and x = 1 is equal to (16/105)π cubic units.

Volume of the solid y = √x bounded in the region y = 0 and x = 1.

Revolved about the x = 1 line.

Use disk method we have,

Divide the given region into infinitesimally thin disks.

Disks are perpendicular to the given axis of rotation.

Required volume = Sum of the volume of all disks

Radius of each disk

= distance from the given line of rotation to boundary of solid

= 1 - x.  

Height of each disk

= upper boundaries - lower boundaries

= √x - 0

= √x

Volume of the disk

= \(\int_{0}^{1}\)π( 1 - x)²√x dx

= π\(\int_{0}^{1}\)( √x - 2x^(3/2) + x^(5/2) ) dx

= π [( 2/3)x^3/2 - (4/5)x^(5/2) + (2/7)x^7/2 ]\(|_{0}^{1}\)

= π[(2/3) -(4/5) + (2/7) ]

= (16/105)π cubic units

Therefore, the required volume of the solid is equal to (16/105)π cubic units.

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The above question is incomplete , the complete question is:

Find the volume of the solid that results when the region bounded by y=√x , y=0, x=1 is revolved about the line x = 1

Answer:

  A, B, D

Step-by-step explanation:

You want to know the correct statements about the root -5 of the equation 3x² +14x -5 = 0.

A "root" and an "x-intercept" generally refer to the same thing. These are values that make the expression zero. (The x-axis is y=0, so an intersection with the x-axis will be where the function value is zero.)

If -5 is a root, -5 is an x-intercept of the graph of y=3x² +14x -5.

See A above. -5 is a zero of the function y=3x² +14x -5.

A zero or x-intercept corresponds to a factor whose value is zero at that point. The factor x-5 is not zero at x=-5, so it is not a factor of the function.

The factor (x +5) is zero at x = -5, so (x +5) is a factor of 3x² +14x -5.

Answer:

£149.5

Step-by-step explanation:

130/100=1.3

1.3*15=19.5

130+19.5=149.5

Answer:

The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.

Step-by-step explanation:

In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.

Answer:

The shaded area would reverse on both inequalities.  

The graphs do not overlap until the signs are reversed.  

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Step-by-step explanation:

edge 2021

The power series solution about x = 0 for the differential equation y'' - y = 0 is: y(x) = α + βx + ∑(n=2 to ∞) [(n+2)(n+1) aₙ₋₂] xⁿ, where the coefficients aₙ can be calculated using the recurrence relation aₙ₊₂ = (n+2)(n+1) aₙ, and the initial conditions are given by y(0) = α and y'(0) = β.

To find a power series solution about x = 0 for the differential equation y'' - y = 0, we can assume a power series representation for the solution:

y(x) = ∑(n=0 to ∞) aₙxⁿ,

where aₙ represents the coefficients to be determined.

Differentiating y(x) with respect to x, we obtain:

y'(x) = ∑(n=0 to ∞) aₙn xⁿ⁻¹,

and differentiating again, we have:

y''(x) = ∑(n=0 to ∞) aₙn(n-1) xⁿ⁻².

Now we substitute these expressions for y(x), y'(x), and y''(x) back into the differential equation y'' - y = 0:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² - ∑(n=0 to ∞) aₙxⁿ = 0.

To simplify this equation, we bring both series to a common index by shifting the second series:

∑(n=2 to ∞) aₙn(n-1) xⁿ⁻² - ∑(n=0 to ∞) aₙ₊₂xⁿ = 0.

Now, we can combine the two series into a single series:

∑(n=0 to ∞) [aₙ(n+2)(n+1) - aₙ₊₂] xⁿ = 0.

For this equation to hold true for all x, the coefficients of each power of x must be zero. This leads to the following recurrence relation:

aₙ(n+2)(n+1) - aₙ₊₂ = 0.

Simplifying this relation, we get:

aₙ₊₂ = (n+2)(n+1) aₙ.

We also need initial conditions to determine the values of a₀ and a₁. Let's assume y(0) = α and y'(0) = β. Substituting these initial conditions into the power series representation of y(x), we have:

y(0) = a₀(0⁰) = α,

y'(0) = a₁(0⁰) = β.

From these conditions, we can determine a₀ = α and a₁ = β. Using the recurrence relation aₙ₊₂ = (n+2)(n+1) aₙ, we can now calculate the coefficients aₙ for n ≥ 2.

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Answer:

\(\huge\boxed{\sf \frac{a^2+b^2}{2(a^2-b^2)}}\)

Step-by-step explanation:

=> \(\sf \frac{a}{2(a+b)} + \frac{b}{2(a-b)}\)

LCM = 2(a+b)(a-b)

=> \(\sf \frac{a(a-b)+b(a+b)}{2(a+b)(a-b)}\)

Simplifying further

=> \(\sf \frac{a^2-ab+ab+b^2}{2(a^2-b^2)}\)

=> \(\sf \frac{a^2+b^2}{2(a^2-b^2)}\)

\(\dfrac{a}{2(a+b)}+\dfrac{b}{2(a-b)}=\\\\\dfrac{a(a-b)}{2(a+b)(a-b)}+\dfrac{b(a+b)}{2(a+b)(a-b)}=\\\\\dfrac{a^2-ab}{2(a^2-b^2)}+\dfrac{ab+b^2}{2(a^2-b^2)}=\\\\\dfrac{a^2+b^2}{2(a^2-b^2)}\)