Geometry
Is Dn (triangle DEF) = triangle D'E'F' an enlargement or a reduction? What is the scale factor n of the dilation?

The estimated systolic blood pressure of a healthy child weighing 100 pounds is approximately 117.32 mmHg.

Using the given equation, Po + β1 ln(w) = p, we can estimate the systolic blood pressure (p) of a healthy child weighing 100 pounds.

First, we need to determine the values of Po and β1. We can use the experimental data provided in the table to do this.

Using the values of w and ln(w), we can create a linear regression model for p.

ln(w)     p
3.78      91
4.11      98
4.39      103
4.73      110
4.88      112

Using a statistical software, we can find the values of Po and β1 that best fit the data.

Po = 86.858
β1 = 17.917

Now, we can use these values to estimate the systolic blood pressure of a healthy child weighing 100 pounds.

Po + β1 ln(w) = p
86.858 + 17.917 ln(100) = 117.32

Therefore, the estimated blood pressure is approximately 117.32 mmHg.

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Ratio is the relation between two amounts that shows the number of times one value contains within the other.

What is Ratio?

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of vegetables contains eight tomato and six carrots, the tomato-to-carrot ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the proportion of carrots to tomato is 6:8 (or 3:4), while the proportion of tomato to overall fruit is 8:14. (or 4:7). A ratio's numbers can be any quantity, such as a count of persons or things, or measures of lengths, weights, time, and so forth. In most situations, both numbers must be positive.

Solution:

Ratio is the relation between two amounts that shows the number of times one value contains within the other.

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Interpreting the scatterplot, it is found that the correct option is:

Springside weakens the correlation shown in the scatterplot.

Springside weakens the correlation shown in the scatterplot.

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We get a total of 175 collars sold and 226 leashes sold for the week, and an average of 25.0 collars and 32.3 leashes sold per day.

We have,

Day       Collars      Leashes

Sunday        30          34

Monday        22          29

Tuesday        21               27

Wednesday   25          32

Thursday         17          30

Friday          26           39

Saturday          34           35

Total          175          226

Average          25.0  32.3

To complete the table, we can add up the number of collars and leashes sold each day to get the total for the week.

We can also calculate the average number of collars and leashes sold per day by dividing the total by 7.

Thus,

We get a total of 175 collars sold and 226 leashes sold for the week, and an average of 25.0 collars and 32.3 leashes sold per day.

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The linear function that describes the total cost of a tiny house, based on the number of square feet A is given by:

C = 175A + 1000.

A linear function is modeled by:

y = mx + b

In which:

In this problem:

Then, the equation is given as follows:

C = 175A + 1000.

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Answer:

(A)\([x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]\)

Step-by-step explanation:

A polynomial has a leading coefficient of 1 and the  following factors with multiplicity 1:

\(x-(2+i)\\x-\sqrt{2}\)

We apply the following to find the factored form of the polynomial.

\(\text{Complex conjugate of }x-(2+i)=x-(2-i)\\\\\text{Complex conjugate of }x-\sqrt{2}=x+\sqrt{2}\)

Therefore, the factored form of the polynomial is:

\([x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]\)

Answer:

A

Step-by-step explanation:

EDGE 2021

Answer:

x = 15

Step-by-step explanation:

Answer: the answer is 15

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

Other dude is correct

Step-by-step explanation:

Taking the ratio of similar sides of the triangle, y has a value of √21

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

In math, This is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

To find the value of y, we have to take the ratio of  sides of the two similar triangles

7 / y = y / 3

7 × 3 = y × y

21 = y²

y = √21

The value of y is √21

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Answer:

100/ 56

Step-by-step explanation:

100/65 because 0.65 is a decimal number

hope it helps!

Answer:

100/65 because 0.65 is in decimal

The final expression is given as ln|S| = 8t / √πS(0) + ln|S(0)|.

A spherical weather balloon is being inflated at a rate of 5 cm/s. If we want to express the surface area of the balloon as a function of time t (in seconds), then we have to use the formula for the surface area of a sphere which is given as S = 4πr².

Here, the radius of the balloon is increasing at the rate of 5 cm/s.

So we can say that dr/dt = 5 cm/s, where dr is the rate of change of radius with respect to time.

We can differentiate the formula of surface area of the sphere w.r.t time, we get: dS/dt = d/dt (4πr²) => dS/dt = 8πr (dr/dt)We know, r = (1/2)Sqrt(S/π)So, we can substitute the value of r in the above expression, dS/dt = 4πS (ds/dt) / Sqrt(πS)

On simplifying this, we get: dS/dt = 4S (ds/dt) / √πSNow, if S = S(0) at t = 0, then we can integrate both sides of the equation to get the surface area of the balloon as a function of time t.S(0) is the initial surface area of the balloon.

Substituting, we get:∫ dS/S = ∫ 4(dt/√πS(0))We get:ln|S| = 8t / √πS(0) + CWhere C is the constant of integration.At t = 0, S = S(0),

so we get:ln|S(0)| = CBy substituting this value of C in the above expression, we get:ln|S| = 8t / √πS(0) + ln|S(0)|

On simplifying this expression, we get the surface area of the balloon as a function of time t.

We derived the expression of surface area of the balloon as a function of time t when the radius of the balloon is increasing at the rate of 5 cm/s. We used the formula of surface area of a sphere and the derivative of radius w.r.t time to derive the expression of surface area. The final expression is given as ln|S| = 8t / √πS(0) + ln|S(0)|.

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Answer:

The equation is already written in standard form.

:)

Answer:

1 is 15

2  the formula of a  trapizod and the are is 35

Step-by-step explanation:

A=a+b2h=2+5 2·10=35

have a good day/night

may i please have a branlliest

Answer:

1) 15

2) formula is y=1/2(5+2)10, area is 35 square miles

Step-by-step explanation:

Answer:

8+3i

Step-by-step explanation:

a) Lower limit on the 99% confidence interval is 0.085

b) Upper limit on the 99% confidence interval is 0.215

c) Correct option is = a.

Yes, because 0.2 is inside the interval

d) Sample size = n = 4148

Probabilities are mathematical explanations of the chance that an event will occur or that a proposition is true. The chance of an occurrence is represented by a number between 0 and 1, with 0 often signifying impossibility and 1 typically signifying certainty.

Given that,

n = 200

x = 30

Point estimate = sample proportion = \hat p = x / n = 30 / 200 = 0.15

1 - \hat p = 1 - 0.15 = 0.85

At 99% confidence level the z is,

\alpha  = 1 - 99%

\alpha  = 1 - 0.99 = 0.01

\alpha /2 = 0.005

 Z\alpha/2 = 2.576

Margin of error = E = Z\alpha / 2 * \sqrt((\hat p * (1 - \hat p)) / n)

                              = 2.576 * (\sqrt((0.15 * 0.85 ) / 200 )

                              = 0.065

A 99% confidence interval for population proportion p is ,

\hat p - E < p < \hat p + E

0.15 - 0.065 < p < 0.15 + 0.065

(0.085 < p < 0.215 )

a) lower limit = 0.085

b) upper limit = 0.215

c) correct option is = a.

Yes, because 0.2 is inside the interval

d) \hat p = 1 - \hat p = 0.5

margin of error = E = 0.04 / 2 = 0.02

 sample size = n = (Z\alpha / 2 / E )2 * \hat p * (1 - \hat p)

                              = ( 2.576 / 0.02 )2 * 0.5 * 0.5

                              = 4147.36

sample size = n = 4148

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Answer:

squares and rectangles

Correct statements are:

a) A square can be thought of as a special rectangle.

d) Squares, rectangles, and parallelograms are all quadrilaterals.

e) A square is also a parallelogram.

Incorrect statements are:

b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.

c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

Finding the slope between (-1, -2) and (2, 4)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:4\right)\)

\(m=\frac{4-\left(-2\right)}{2-\left(-1\right)}\)

\(m=2\)

Using the point-slope form

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (-1, -2)

\(y-y_1=m\left(x-x_1\right)\)

\(y -(-2) = 2(x-(-1)\)

Thus, the point-slope form of the line equation is

\(y -(-2) = 2(x-(-1)\)

now, write the slope-intercept form of the line equation y = mx+b

\(y-\left(-2\right)=2\left(x-\left(-1\right)\right)\)

\(y+2=2\left(x+1\right)\)

subtract 2 from both sides

\(y+2-2=2\left(x+1\right)-2\)

Simplify

\(y=2x+0\)

\(y = 2x\)

Therefore, the equation in slope-intercept form is:

Answer:

28

Step-by-step explanation:

gcf is 28

Have a wonderful day!

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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Answer:

120:72:48

Step-by-step explanation:

Remark

Whatever the answer is (call it x to begin with), the equation starts as

5x + 3x + 2x = 240

What this means is that when you solve for x the results when multiplied by the ratio, should add to 240

Equation

5x + 3x + 2x = 240

Solution

Combine all the terms on the left.

10x = 240                    Divide by 10

x = 240/10

x = 24

Check

Answer:

$750.00

Step-by-step explanation:

$54,400 ÷ 12 = $4366.66

the first $1000, is taxed at 1.5%

1000 × .15 = $150.00

that leaves Bode with $3366.66 of taxable income.

the first $2000.00 is taxed at 3%.

2000 × .3 = $600.00

leaving $1366.00 of non-taxable income. since it's below a second $2000, Bode's state has squeezed out as much as legally allowed from his paycheck.

$150.00 + $600.00 = $750.00

Bode should move to a less greedy state.

Answer:

2\(\sqrt{2}\)

Step-by-step explanation:

sin45=\(\frac{x}{4}\) ( sin is opposite over hypotenuse )

multiply

4sin45=\(2\sqrt{2}\)

cos45=\(\frac{x}{4}\) ( cos is adjacent over hypotenuse )

multiply

4cos45= 2\(\sqrt{2}\)

tip: in a 45-45-90 triangle, the sides are equivalent.

Answer:

Step-by-step explanation:

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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The minimum sample size needed for 95% confidence that the sample variance is within 5% of the population variance is given by n = (1.96² * σ²) / (0.05²).

The minimum sample size needed to be 95% confident that the sample variance is within 5% of the population variance can be calculated using the formula:

n = (Z² * σ²) / (E²)

where:

n is the minimum sample size,

Z is the z-score corresponding to the desired confidence level (in this case, 95% confidence corresponds to a z-score of approximately 1.96),

σ² is the population variance, and

E is the maximum allowable difference between the sample variance and the population variance (expressed as a proportion of the population variance).

The formula ensures that the desired confidence level is achieved while limiting the difference between the sample and population variances within the specified threshold.

In summary, to determine the minimum sample size needed to be 95% confident that the sample variance is within 5% of the population variance, you can use the formula n = (1.96² * σ²) / (0.05²), where σ² represents the population variance.

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Answer:

5

Step-by-step explanation:

\( (y^3 - 2)(y^2 +11)\)

\(= y^3 (y^2 +11)-2(y^2 +11)\)

\(= y^5 +11y^3-2y^2 - 22\)

Here, highest power of the variable is 5.

Therefore, degree of the given polynomial is 5.

Answer:

asgusjsudhhjjdjnnwmsmsos

Step-by-step explanation:

nnnrjkririeeieieieirkr

The rate of inflation for 2022 using the given goods is approximately 66.67%.

To calculate the rate of inflation for 2022 using the given goods, we can use the following formula:

Rate of Inflation = ((Price Index 2022 - Price Index 2021) / Price Index 2021) * 100

First, we need to calculate the price index for each good:

Price Index = (Quantity x Price) / (Base Year Quantity x Base Year Price)

For the avocado:

Price Index 2021 = (5 x $2.00) / (5 x $2.00) = 1.00

Price Index 2022 = (5 x $5.00) / (5 x $2.00) = 2.50

For milk:

Price Index 2021 = (5 x $2.00) / (5 x $2.00) = 1.00

Price Index 2022 = (5 x $3.00) / (5 x $2.00) = 1.50

For bread:

Price Index 2021 = (10 x $1.00) / (10 x $2.00) = 0.50

Price Index 2022 = (10 x $2.00) / (10 x $2.00) = 1.00

Now, we can calculate the rate of inflation:

Rate of Inflation = ((2.50 + 1.50 + 1.00) - 3) / 3 * 100 = (5 - 3) / 3 * 100 ≈ 66.67%

Therefore, the rate of inflation for 2022 using the given goods is approximately 66.67%.

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