How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!! :)

Given:

The data values are:

21, 32, 17, 24, 15, 30, 28 and 26.

To find:

The first quartile, third quartile, and interquartile range.

Solution:

We have,

21, 32, 17, 24, 15, 30, 28, 26

Arrange the data values in ascending order.

15, 17, 21, 24, 26, 28, 30, 32

Divide the data set in two equal parts.

(15, 17, 21, 24), (26, 28, 30, 32)

Divide each parenthesis in two equal parts.

(15, 17), (21, 24), (26, 28), (30, 32)

Now, the first quartile is:

[tex]Q_1=\dfrac{17+21}{2}[/tex]

[tex]Q_1=\dfrac{38}{2}[/tex]

[tex]Q_1=19[/tex]

The third quartile is:

[tex]Q_3=\dfrac{28+30}{2}[/tex]

[tex]Q_3=\dfrac{58}{2}[/tex]

[tex]Q_3=29[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=29-19[/tex]

[tex]IQR=10[/tex]

Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.

Answer:

6 sqrt(3) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x

Answer:

x=6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

[tex]\sqrt{3[/tex]/2=x/12

do cross multiplication

2*x=12*[tex]\sqrt{3}[/tex]

x=12[tex]\sqrt{3}[/tex] /2

x=6[tex]\sqrt{3}[/tex]

Answer:

3 x 5 is the gcf of 45 and 75. gcf(45,75) = 15.

Step-by-step explanation:

hope this helped! yw :}

Answer:

I dont see the whole question

Step-by-step explanation:

Answer:

Remember the relation:

Distance = Speed*Time.

Then if we define:

y = distance

x = time

Speed = 50km/hr

Then we can write the relation between distance and time is:

y = (50km/hr)*x

This is the equation we need to graph.

To graph it, we can just find two points of that equation, and then draw a line that connects them:

For example if we have x = 0hr then:

y = (50km/hr)*0hr = 0km

then we have the point (0hr, 0km)

If now we use the point x = 1hr, then:

y = (50km/hr)*1hr  = 50km

Then we also have the point (1hr, 50km)

Now we can draw these two points and connect them by a line, that line is the graph of the equation.

The graph of the equation can be seen below:

Answer:

a

Step-by-step explanation:

follow the proportions

Answer:

A

Step-by-step explanation:

Answer: 5.8 +0.6x

Step-by-step explanation:

Answer:

En contraste con el seno, el coseno permite diferenciar triángulos obtusángulos de triángulos acutángulos.

Step-by-step explanation:

Por Geometría Euclideana sabemos que la suma de todos los ángulos internos de un triángulo es igual a 180°, si el triángulo no es rectángulo, entonces acutángulo o obtusángulo.

Un triángulo es acutángulo cuando todos sus ángulos son agudos, es decir, cuyas medidas sean mayores que 0° y menores que 90°, mientras que un triángulo es obtusángulo cuando uno de sus ángulos es mayor que 90° y menor que 180° y los dos ángulos restantes son agudos.

El seno es una función periódica y acotada entre -1 y 1, que es positiva entre 0° y 180°, significando que esta función trigonométrica es demasiado "débil" para diferenciar a un triángulo obtusángulo de uno acutángulo. En cambio, el coseno es una función periódica y acotada entre -1 y 1, que es positiva entre 0° y 90°, y negativa entre 90° y 180°, convirtiéndola en un criterio "fuerte" para diferenciar triángulos obtusángulos de triángulos acutángulos.

Answer:

∅ ≈ 34º

Step-by-step explanation:

sin = opp/hyp

∅ = arcsin opp/hyp

∅ = arcsin 14/25

Use calculator

∅ = 34.055797742567906

∅ ≈ 34º

Answer:

is 55

Step-by-step explanation:

×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56

cos0.56

55

Answer:

m = 4

Step-by-step explanation:

m = -29 + 33

Answer:

the answer is m=4

hope this helps

have a good day :)

Step-by-step explanation:

33+-29=4

Answer:

y = 6·sin(3·(x - 1)) + c

Step-by-step explanation:

The general form of an equation for a sinusoidal function is presented ad follows;

y = a·sin(b·(x - h) + c

Where;

a = The amplitude of the equation

T = The period = 2·π/b

h = The phase shift

c = The vertical shift

From the question, we have;

a = 6,

2·π/3 = 2·π/b

∴ b = 3

h = 1

We get;

y = 6·sin(3·(x - 1)) + c.

Refer to the attachment for complete calculation.

3²× 11^-9

Answer and Step-by-step explanation:

The last answer choice is correct.

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x

The process being used in the last answer choice is called Cross multiplication, and is used to find the unknown value in fractions.

[tex]\frac{7}{8}[/tex] × [tex]\frac{x}{24}[/tex]

7 × 24 = 8x

168 = 8x

21 = x

#teamtrees #PAW (Plant And Water)

Answer:

-5

Step-by-step explanation:

12-7=5

7-12=-5

If this helps please mark as brainliest

Arithmetic

7-12

Meaning, 12 less than 7.

7-12=-5

Answer:

y = (√x)/13 for x > 0

Step-by-step explanation:

Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation.  The graph consists of the right-hand half of the parabola 169x^2.  Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test.  If x is restricted to (0, infinity), a horizontal line intersects this graph only once.  Therefore, this function has an inverse.

1.  Replace 'f(x)' with 'y:'  y = 169x^2

2.  Interchange x and y:  x = 169y^2

3.  Solve for y:  y^2 = x/169, or y = (√x)/13 for x > 0

Answer:

I'm not seeing the options clearly so I'll answer the entire question then perhaps you can get your answer from that

Step-by-step explanation:

Formula for finding volume of rectangular prism =

Area or rectangle x Height

(L x B) x H

[tex] = (8 \times 3) \times 5 \\ = (24) \times 5 \\ = 120 {cm}^{3} [/tex]

I hope it helped?

Answer:

A = 24

Step-by-step explanation:

Use the problems provided info!

A = B+8

C = 2B

72 = B+8+2B+B

72-8 = 4B

6434 = 4B/4

16 = B

A = 24

B = 16

C = 32

Step-by-step explanation:

Translation: (x,y)↦( 9, -12)

Scale factor: 2

Translation:

(x,y)↦( 9, -12 )

Scale factor:

2 is the required answer.

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Explanation:

Let's say that a = 25, b = 37 and c = 32 are the side lengths.

The uppercase letters A,B,C are opposite their lowercase counterparts.

That means angle A is opposite side a = 25

Apply the law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

25^2 = 37^2 + 32^2 - 2*37*32*cos(A)

625 = 1369 + 1024 - 2368*cos(A)

625 = 2393 - 2368*cos(A)

625 - 2393  = -2368*cos(A)

-1768  = -2368*cos(A)

-2368*cos(A) = -1768

cos(A)= (-1768)/(-2368)

cos(A) = 0.746621621621622

A = arccos(0.746621621621622)

A = 41.7014263373247

A = 41.7

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Explanation:

If we plugged (x,y) = (0,8) into the first inequality, then we get

y < x^2+6

8 < 0^2+6

8 < 0+6

8 < 6

which is false. So we can rule out choice A.

----------------

Trying choice B leads us to

y < x^2+6

2 < 4^2+6

2 < 16+6

2 < 22

That last statement is true, so the first inequality is true for (x,y) = (4,2)

Let's try the other inequality

y > x^2-4

2 > 4^2-4

2 > 16-4

2 > 12

That's false. Since one of the inequalities is false (it doesn't matter which one), this means the entire system is false. We cross choice B off the list.

----------------

Now onto choice C

You should find that y < x^2+6 becomes -4 < 10 after plugging in (x,y) = (-2,-4). Since -4 < 10 is true, we move onto the next inequality.

The inequality y > x^2-4 becomes -4 > 0 after plugging in those mentioned x,y values. The inequality -4 > 0 is false.

We cross choice C off the list.

----------------

The only thing left is choice D. It has to be the answer.

Let's find out if we get true inequalities when plugging in (x,y) = (2,6)

y < x^2+6

6 < 2^2+6

6 < 10 ... true

and

y > x^2-4

6 > 2^2-4

6 > 4-4

6 > 0 .... also true

Both inequalities are true, so the entire system is true. Therefore, (x,y) = (2,6) is one of the infinitely many solutions to this system.

Choice D is confirmed as the answer

----------------

Refer to the diagram below. I've graphed the two dashed boundary curves and the shaded region between. This region is above the y = x^2-4 curve, and below the y = x^2+6 curve. So we're ignoring the stuff above the y = x^2+6 curve.

Points A through D represent the four answer choices in the order given. We see that point D is the only point in the shaded region, so that visually confirms we have the correct answer.

Note: points on the dashed boundaries do not count as solutions.

Answer:

2m+8

Step-by-step explanation:

Step-by-step explanation:

hear is your with steps please check

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)

Answer:

C

Step-by-step explanation:

2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =

= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)

= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)

= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)

= -7ab * sqrt[3](3ab^2)

Answer: C