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p=7, I don't know if this is a question or not

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Answer:

  a ≈ 4.68

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

  a = √(b² +c² -2bc·cos(A))

  a = √(5² +8² -2·5·8·cos(33°)) = √(25 +64 -80·0.83867) ≈ √21.906

  a ≈ 4.68

Answer:

a≈4.68

Step-by-step explanation:

have a good one!!!

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference in the x values

Step-by-step explanation:

When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36

36 is not odd, making the other statement false

Answer:

59cm

Step-by-step explanation:

Answer:

(x - 5)(3x + 3)

Step-by-step explanation:

(x - 5)(3x + 3)

3x2 + 3x - 15x - 15

3x2 - 12x - 15

Answer:

53

Step-by-step explanation:

4ft x 12 = 48 in

48 in+ 5 in= 53

4 feet and inches will be equal to 53 inches .

Given,

4 feet 5 inches

Now conversion of inches to feet,

Few unit conversions,

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

1 feet = 12 inches

Here we need to convert feet into inches,

So,

1 feet = 12 inches

4 feet = 48 inches

Hence the height will be,

48 inches + 5 inches = 53 inches

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Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

[tex]\mu_G = 15[/tex]

[tex]s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

[tex]\mu_E = 13.4[/tex]

[tex]s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

[tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]

Standard deviation:

[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92[/tex]

So the correct answer is given by option b.

Answer:

x=7

Step-by-step explanation:

4x-12=16

4x=28

x=7

Answer:

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Step-by-step explanation:

I am going to solve this question using the events as Venn sets.

I am going to say that:

Event A: Uses the golf courses.

Event B: Uses the tennis courts.

5% use neither of these facilities.

This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]

75% use the golf course, 50% use the tennis courts

This means, respectively, by:

[tex]P(A) = 0.75, P(B) = 0.5[/tex]

Probability that a member uses both:

This is [tex]P(A \cap B)[/tex]. We have that:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

So

[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]

What is the probability that the member uses the golf course but not the tennis courts?

This is [tex]P(A - B)[/tex], which is given by:

[tex]P(A - B) = P(A) - P(A \cap B)[/tex]

So

[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Answer:

1/18

Step-by-step explanation:

2/3-1/2=1/6

1/3 x 1/6=1/18

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

Answer:

9/20

Step-by-step explanation:

You have to multiply both numerators and both denomenators!

3/4 x 3/5 = 9/20

3 x 3 = 9

4 x 5 = 20

therefore, your answer is 9/20!

Hope this helps, Have a nice day!

Answer:

22.7°

Step-by-step explanation:

22.714° to nearest 10th is 22.7

Answer:

y = 3

Step-by-step explanation:

2x+6y=5x+4y   if x=2

2(2)+6y=5(2)+4y

4+6y=10+4y

-4     =-4

6y=6+4y

-4y=   -4y

2y=6

/2=/2

y=3

Answer:

9:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

Answer: B

Step-by-step explanation:

Answer

7 and 83

Step-by-step explanation:

Step-by-step explanation:

First, multiply -7 by 0.

-7×0=0

Now, do the adding and subtracting.

1+0=1

1+9=10

10+5=15

15+5=20

20+3=23

23+9=32

32+3=35

35+112=147

147-123=24

24+7=31

31+0=31

The answer is: 31

Answer:

[tex]y = -\frac{3}{2}x + 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

[tex]\frac{2m}{3} = -1[/tex]

[tex]2m = -3[/tex]

[tex]m = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + 2[/tex]

Answer:

the answer is 38.25

Step-by-step explanation:

45-15%

=38.35

Answer:

$6.75

Step-by-step explanation:

To solve any percent problem, u can use the equation part         %

                                                                                           -------   =   ---

                                                                                         whole       100

(the lines are fraction bars btw, when u right out the problem, write it as fractions)

In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:

100x = 675.

Then, divide 675 by 100 to get x = 6.75.

So Natalie saves $6.75.

hope this helps!

Answer:

b

Step-by-step explanation:

Answer:1/4 + 1/4 = 1/2 = 0.5

Explanation:

We can rewrite y = -3 as y = 0x-3 or y = 0x+(-3)

Compare that to y = mx+b and we can see that m = 0 is the slope and b = -3 is the y intercept. The slope of 0 indicates a horizontal line.

We can think of it is as slope = rise/run = 0/1 = 0. A rise of 0 tells the reader "the graph does not go up or down at all". Every point on the line y = -3 has y coordinate of -3. Two such points are (0,-3) and (1,-3).

Answer:

1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

Answer:

60 cubic units

Step-by-step explanation:

The figure is 5 tall, so just add 5 for each square on the top view.

The volume of the rectangular prism is 60 cubic units

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be represented as V

Now , the equation will be

The length of the rectangular prism = 3 units

The width of the rectangular prism = 4 units

The height of the rectangular prism = 5 units

Now , the volume is calculated by

Volume of Rectangle = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangle V = 3 x 4 x 5

On simplifying the equation , we get

Volume of Rectangle V = 60 cubic units

Therefore , the value of V is 60 cubic units

Hence , the volume of the rectangular prism is 60 cubic units

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Answer:

c.

Step-by-step explanation:

i did the test

Answer:

C

Step-by-step explanation: