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professor190 [17]

3 years ago

5

Por favor rapido Un grupo de 7 estudiantes se les pregunto: "¿Cuántas horas viste televisión la semana pasada?" Aquí están sus r

espuestas.
16,15,17,5,18,16,7

Encuentre el número promedio de horas para estos estudiantes.

Si es necesario, redondea tu respuesta a la décima más cercana.

1 answer:

katovenus [111]3 years ago

7 0

Answer:

13.4

Step-by-step explanation:

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Maria uses 1 1/2 cups of milk for her cereal and

jonny [76]

Answer:

more, she uses 17.5 cups a week

Step-by-step explanation:

7 0

2 years ago

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In Class 1, what is the median score? A) 70 B) 70.5 C) 71.5 D) 72

evablogger [386]

Answer:

B) 70.5

Step-by-step explanation:

Median = middle value when the values are placed in order.

If there are two middle values, the median is the mean of those two values.

<u>Class 1</u>

45 46 51 52 53 53 61 63 64 65 66 68 70 <u>70 71</u> 73 76 77 79 81 82 83 84 87 90 92 93 95

There are 28 values in Class 1.

Therefore, there are two middle values: 14th and 15th values

14th value = 70

15th value = 71

$\implies \textsf{Median}=\dfrac{70+71}{2}=70.5$

3 0

2 years ago

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Maths functions question!!

Marina86 [1]

Answer:

5) DE = 7 units and DF = 4 units

6) ST = 8 units

$\textsf{7)} \quad \sf OM=\dfrac{3}{2}\:units$

8) x ≤ -3 and x ≥ 3

Step-by-step explanation:

<u>Information from Parts 1-4:</u>

brainly.com/question/28193969

$f(x)=-x+3$

$g(x)=x^2-9$

A = (3, 0) and C = (-3, 0)

<h3><u>Part (5)</u></h3>

Points A and D are the <u>points of intersection</u> of the two functions.

To find the x-values of the points of intersection, equate the two functions and solve for x:

$\implies g(x)=f(x)$

$\implies x^2-9=-x+3$

$\implies x^2+x-12=0$

$\implies x^2+4x-3x-12=0$

$\implies x(x+4)-3(x+4)=0$

$\implies (x-3)(x+4)=0$

Apply the zero-product property:

$\implies (x-3)= \implies x=3$

$\implies (x+4)=0 \implies x=-4$

From inspection of the graph, we can see that the x-value of point D is <u>negative</u>, therefore the x-value of point D is x = -4.

To find the y-value of point D, substitute the found value of x into one of the functions:

$\implies f(-4)=-(-4)=7$

Therefore, D = (-4, 7).

The length of DE is the difference between the y-value of D and the x-axis:

⇒ DE = 7 units

The length of DF is the difference between the x-value of D and the x-axis:

⇒ DF = 4 units

<h3><u>Part (6)</u></h3>

To find point S, substitute the x-value of point T into function g(x):

$\implies g(4)=(4)^2-9=7$

Therefore, S = (4, 7).

The length ST is the difference between the y-values of points S and T:

$\implies ST=y_S-y_T=7-(-1)=8$

Therefore, ST = 8 units.

<h3><u>Part (7)</u></h3>

The given length of QR (⁴⁵/₄) is the difference between the functions at the same value of x. To find the x-value of points Q and R (and therefore the x-value of point M), subtract g(x) from f(x) and equate to QR, then solve for x:

$\implies f(x)-g(x)=QR$

$\implies -x+3-(x^2-9)=\dfrac{45}{4}$

$\implies -x+3-x^2+9=\dfrac{45}{4}$

$\implies -x^2-x+\dfrac{3}{4}=0$

$\implies -4\left(-x^2-x+\dfrac{3}{4}\right)=-4(0)$

$\implies 4x^2+4x-3=0$

$\implies 4x^2+6x-2x-3=0$

$\implies 2x(2x+3)-1(2x+3)=0$

$\implies (2x-1)(2x+3)=0$

Apply the zero-product property:

$\implies (2x-1)=0 \implies x=\dfrac{1}{2}$

$\implies (2x+3)=0 \implies x=-\dfrac{3}{2}$

As the x-value of points M, Q and P is negative, x = -³/₂.

Length OM is the difference between the x-values of points M and the origin O:

$\implies x_O-x_m=o-(-\frac{3}{2})=\dfrac{3}{2}$

Therefore, OM = ³/₂ units.

<h3><u>Part (8)</u></h3>

The values of x for which g(x) ≥ 0 are the values of x when the parabola is above the x-axis.

Therefore, g(x) ≥ 0 when x ≤ -3 and x ≥ 3.

8 0

11 months ago

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Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? What is the area when x = 3?

Bingel [31]

Answer:

8

Step-by-step explanation:

Length = 2x-4

Width = x+1

Let x=3 and find the length and width

Length = 2*3-4 = 6-4 =2

Width = x+1= 3+1 =4

The area is given by

A = l*w = 2*4 = 8

7 0

2 years ago

650ft squared divided by 2/3 hour

AleksAgata [21]

4.24 is the answer I believe,

4 0

3 years ago