Two sets of data have the same measures of central tendency. Are the data sets the same? Explain.

Answer:

Step-by-step explanation:

the square base = 5 * 5 = 25

each of the triangular sides = 4*2.5=10

so… 25+(10*4)=25+40=65

The error that Martell made in determining the scale factor was using point K and point A when they weren't similar points.

The process that Martell used to find the scale factor was correct, however, he should not have used points A and K because they are not similar sides in the triangles.

Point A is similar to point H while point D is similar to point K.

Using the similar points of A (4, 2 ) and H ( 6, 3 ), we find the scale factor to be:

= 6 / 4

= 1. 5

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The coordinates of the point that corresponds to -5π/4 on the unit circle is (-1/√2, 1/√2).

Given that,

We have to find the coordinates of the point that corresponds to -5π/4 on the unit circle.

We know that any point on the unit circle can be defined as,

(cos θ, sin θ)

where θ is the angle formed with the X axis.

-5π/4 will be the point the corresponds to -225°.

Cos(-5π/4) = cos (5π/4)

                  = cos (π + π/4)

                  = -cos (π/4)

                  = -1/√2

sin (-5π/4) = -sin (5π/4)

                  = -sin (π + π/4)

                  = sin (π/4)

                  = 1/√2

Hence the coordinate of the unit circle is (-1/√2, 1/√2).

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Answer:21y -78

Step-by-step explanation: Distribute the 7 to 3y and -10 to get 21y and -70.

Then combine like terms so the equation would be 21y -78

Step-by-step explanation:

-8+7(3y-10)

-8+21y-70

21y-70+8

21y-78

Last step because there is no more like terms to combine

Hope this helps

The  area of the reduced rectangle is 1.8 unit²

The correct answer is an option (b)

Here the length of the rectangle is 15 units.

And the width of the rectangle is 12 units.

The rectangle has been reduced by a scale of 1/10

so, the new length of the rectangle is:

l = 1/10 × 15

  = 1.5 units

And the new width of the rectangle is:

w = 1/10 × 12

   = 1.2 units

We need to determine the area of the reduced rectangle.

Using the formula for area of rectagle, the area of the reduced rectangle would be:

A = l × w

A = 1.5 × 1.2

A = 1.8 unit²

Therefore, the correct answer is an option (b)

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The complete question is:

The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction. A rectangle has a length of 15 and width of 12. [Not drawn to scale] What is the area of the reduced rectangle?

a) 0.18 square units

b) 1.8 square units

c) 18 square units

d) 180 square units

The number of days it will take the virus to grow from 90 to 410 is 15 days.

The growth rate of the virus is calculated as follows;

growth rate = (200 - 90) / 5

growth rate = 22 per day

The number of days it will take the virus to grow from 90 to 410 is calculated as follows;

growth = 410 - 90

growth = 320

Number of days = 320 / 22/day = 14.55 ≈ 15 days

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1.) [tex]6p=30[/tex]

2.) Sebastian bought a pack of 30 mechanical pencils and plans to give the same number of pencils each to 6 friends.

Let a varible such as p be the number of pencils given by him to each students.

Now we need to find p we need to divide 30 by 6, we get

[tex]p = \frac{30}{6}[/tex]    

 [tex]to[/tex]

[tex]6p = 30[/tex]

Thus, the equation can he use to find p, the number of pencils each friend will receive is: [tex]6p = 30[/tex]

Answer:

[tex]6p = 30[/tex]

Step-by-step explanation:

3dxnn have's the explanation.

The correct statements about the capacity of swimming pool are (a) and (d)

The capacity of a swimming pool is given by C = l × w × (d₁ + d₂)/2

where l is the length,

w is the width,

d₁ is the depth of the shallow end,

and d₂ is the depth of the deep end of the pool.

If C = 9,216 ft, l = 48 ft, w = 24 ft, and d₂ = 12 ft, then d₁  would be,

9216 = 48 × 24 × (d₁ + 12)/2

d₁ + 12 = (9216 × 2) / (48 × 24)

d₁ + 12 = 16

d₁ = 4 ft

And formula for the depth of the shallow end would be,

d₁ = (2C/lw) - d₂

Therefore, the correct statements are (a) and (d)

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The complete question is:

The capacity of a swimming pool is given by C = l × w × (d1 + d2)/2, where l is the length, w is the width, d 1 is the depth of the shallow end, and d 2 is the depth of the deep end of the pool.

Select all the correct statements.

a) The depth of the shallow end is given by d1 = 2C/lw - d2.

b) If C = 9,216 ft, l = 48 ft, w = 24 ft, and d2 = 16 ft, then d1 = 4 ft.

c) The depth of the shallow end is given by 2C - d2/lw .

d) If C = 9,216 ft, l = 48 ft, w = 24 ft, and d2 = 12 ft, then d1 = 4 ft.

The solution is , price of jeans = RD$ 1140 and, price of  handbag =

RD$ 2110.

Here, we have,

given that,

Margarita went to the store and bought a bag and some jeans for a total of RD$3,250.

Knowing that the handbag exceeds the jeans by RD$970,

now, we have to find that, how many do she pay for each article.

let, price of jeans = RD$ x

so, price of  handbag = RD$ (x +970)

ATQ, we get,

RD$ x + RD$ (x +970) = RD$3,250

or, RD$ 2x + 970 = RD$3,250

or, RD$ 2x = RD$ 2280

or, x = RD$ 1140

Hence, price of jeans = RD$ 1140 and, price of  handbag = RD$ 2110.

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The three numbers are -2, 42 and 16 these we obtained by solving the equations

Let the three numbers x, y, and z. We know that:

x + y + z = 56 (Equation 1)

z - x = 44 (Equation 2)

x + y = 16 (Equation 3)

From Equation 3, we can solve for one of the variables in terms of the other:

y = 16 - x

Substituting this into Equation 1, we get:

x + (16 - x) + z = 56

Simplifying this equation, we get:

z = 40 - x (Equation 4)

Substituting Equation 4 into Equation 2, we get:

(40 - x) - x = 44

Simplifying this equation, we get:

40 - 2x = 44

Subtracting 40 from both sides, we get:

-2x = 4

Dividing both sides by -2, we get:

x = -2

z = 40 - (-2) = 42

Finally, using Equation 1, we can solve for y:

-2 + y + 42 = 56

y=16

Hence, the three numbers are -2, 42 and 16

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The amount of water needed is 72 liters.

Given that, the ratio of the alcohol and water in a mixture of 72 units is 2 ratio 1, we need to find the amount of water that must be added to the mixture in order to make this ratio 1 ratio 2,

So,

The quantity of water in it = 72 / 3 × 1 = 24

New ratio =

48 / 24+x = 1/2

96 = 24+x

x =72

Hence, the amount of water needed is 72 liters.

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Based on the equation, we own 100 shares of JP Morgan Emerging Markets Bond Fund and 900 shares of Fidelity Conservative Income bond fund.

The portfolio is worth $10,000 in total:

$100x + $10y = $10,000

We can now use elimination to find x:

$1100x + $110y = $110,000 -($100x + $10y = $10,000)

$1000x = $100,000 x = 100

As a result, we own 100 shares of JP Morgan Emerging Markets Bond Fund. To solve for y, we can plug this number back into the original equation:

$100x + $10y = $10,000

$100(100) + $10y = $10,000

$10y = $9,000 y = 900

As a result, we have 900 shares of Fidelity Conservative Income bond fund

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Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

When t = 0, the velocity is:

[tex]\begin{aligned}\vec{v}(t)&=3^t \vec{i}+e^{6t} \vec{j}\\\\t=0 \implies \vec{v}(0)&=3^0 \vec{i}+e^{(6 \cdot 0)} \vec{j}\\ &=1 \vec{i}+1 \vec{j} \end{aligned}[/tex]

Speed is the magnitude of the velocity of the object.

[tex]\boxed{\text{A vector $\binom{x}{y}$ has magnitude $\sqrt{x^2+y^2}$}}[/tex]

Therefore, the particle's speed at time t = 0 is:

[tex]\begin{aligned}\implies |v|&=\sqrt{1^2+1^2}\\&=\sqrt{1+1}\\&=\sqrt{2}\end{aligned}[/tex]

Answer:

Step-by-step explanation:

your supposed to learn things in class pay attetion

Based on the information, we cannot reject the null hypothesis because our calculated phi coefficient (0.245) is smaller than the critical value (3.84).

It should be noted that to establish whether the phi coefficient is statistically significant, we can compare it to a crucial value. However, the significance level (i.e., alpha) must be specified ahead of time.

Assume a 0.05 level of significance. We calculate the crucial value for a 2x2 contingency table with 1 degree of freedom and a significance level of 0.05 using a phi coefficient table or calculator.

We cannot reject the null hypothesis because our calculated phi coefficient (0.245) is smaller than the critical value (3.84). As a result, we find that there is no statistically significant relationship between the therapist's method and client satisfaction.

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Answer:

9 pounds/135 cubic inches

= 1 pound/15 cubic inches

= .07 pounds/cubic inch

Answer:

[tex]12 \times 10 \times h = 3600[/tex]

[tex]120h = 3600[/tex]

[tex]h = 30[/tex]

The height is 30 millimeters.

The total cost that Ellie would pay with 4 snacks is $59.

The total cost that Ellie would pay with x snacks is $29 + $5x.

The first step is to determine the total number of people going to the movies. There are 3 people going to the movies.

The total cost spent by Ellie is the sum of the tickets and the total cost of the snacks.

Total cost = total cost of the tickets + total cost of the snacks

= (cost of one ticket x number of people going to the movie) + (number of snacks bought x price of one snack)

= (13 x 3) + ($5 x 4)

$39 + $20 = $59

Total cost if x snacks is bought: (13 x 3) + ($5 x x) = $39  + $5x

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The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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[tex]\sin^2(\theta)+\cos^2(\theta)=1\hspace{9em} \begin{array}{llll} \textit{Symmetry Identities} \\\\ \sin(-\theta )=-\sin(\theta) \\\\ \cos(-\theta )=\cos(\theta ) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cot(-x)\cos(-x)+\sin(-x)\implies \cfrac{\cos(-x)}{\sin(-x)}\cos(-x)+\sin(-x) \\\\\\ \cfrac{\cos(x)}{-\sin(x)}\cos(x)+[-\sin(x)]\implies \cfrac{-\cos^2(x)}{\sin(x)}-\sin(x) \\\\\\ \cfrac{-\cos^2(x)-\sin^2(x)}{\sin(x)}\implies \cfrac{-( ~~ \cos^2(x)+\sin^2(x) ~~ )}{\sin(x)} \\\\\\ \cfrac{-( ~~ 1 ~~ )}{\sin(x)}\implies -\cfrac{1}{\sin(x)}\implies -\csc(x)[/tex]

Based on the information, bIda would owe $3700 at the end of 12 months.

Ida would owe $3808 at the end of 12 months.

The formula will be:

I = P * r * t

I = 2500 * 0.04 * 12 = $1200

So, Ida would owe $2500 + $1200 = $3700 at the end of 12 months.

b. For option b, , the monthly interest rate is:

r = 0.01 * 4.33 = 0.0433

Using the same simple interest expression:

I = 2500 * 0.0433 * 12 = $1308

Ida would owe $2500 + $1308 = $3808 at the end of 12 months.

Therefore, option a is the better choice due to the fact she would owe less in total with a simple interest rate of 4% annually.

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If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.

A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.

If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.

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Answer:

[tex] {( \frac{1}{5}) }^{3} (312) = \frac{312}{125} = 2.496[/tex]

The volume of this rectangular prism is 2.496 cubic centimeters.

The volume of the rectangular prism is 2.496 cubic centimeters.

If the rectangular prism has 312 cubes with an edge length of 1/5 cm, we may calculate the total volume by multiplying the number of cubes by the volume of each cube.

V = x3 gives the volume of a cube with edge length x. Because the edge length, in this case, is 1/5 cm, the volume of each cube is (1/5)3 = 1/125 cm3.

We multiply the number of cubes by the volume of each cube to determine the volume of the rectangular prism:

312 cubes (1/125 cm3/cube) = 2.496cm3 volume

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Answer:correct answers 1.69

4.59

Step-by-step explanation:

We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

2u^2 - 8u - 1 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 2, b = -8, and c = -1. Substituting these values, we get:

u = (8 ± sqrt(8^2 - 4(2)(-1))) / 2(2)

u = (8 ± sqrt(72)) / 4

u = 2 ± sqrt(18)

Therefore, either:

Answer:

use symbolab it will help you with almost anything

Answer:

Step 1: Distributive Property

Step 2: Distributive Property

Step 3: Commutative Property

Step-by-step explanation:

Step 1: This is distributing the (x + 4y + z) into the (x - 7y), so each term in the prior expression is multiplied by (x - 7y). Hence, Distributive Property.

Step 2: This is doing the same thing but to each individual term. The x in the first term is multiplied by each term in the (x - 7y), the 4y in the second term is multiplied by each term in the (x - 7y), and the same for z. Hence, Distributive Property.

Step 3: This is reordering the variables in the terms. For example, 4yx is changed to 4xy, and that is possible because of the Commutative Property. zx is also reordered into a xz and 7zy into a 7yz.

Feel free to ask any more questions. Hope this helps!!!

The requried measure of the angles is given as:

(1) ∠OLQ = 32, (2) ∠NQP = 38°, (3) ∠NLP = 38°, and (4) ∠NPL = 52°.

As shown in the figure,
(1) Following the property of angle subtended by an arc on the center of the circle and at a point on the circumference of a circle,
∠OLQ = ∠OQL = 64/2 = 32°.

(2)

Following the figure,
∠NQP = ∠LQP - ∠LQN
          = ∠LQP-[∠OQL+∠MQN]
          = 90 - [32+20]
          = 38°

Similarly,
∠NLP = 38°
∠NPL = 52°

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