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3 years ago

Evaluate the expression below at x = 6.

Mathematics

1 answer:

vivado [14]3 years ago

5 0

Answer:

Step-by-step explanation:

$(6+1/3x)^2$

Lets first substitute x into the equation:

$(6+1/3[6])^2$

1/3 times 6 = 2

$(6+2)^{2}$

$8^{2}$

Which equals 64

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John has a coin and a spinner with 4 equal sections, one colored red, one blue, one colored green, and one colored, purple. Crea

dem82 [27]

Answer:

Heads/red

Heads/green

Heads/purple

Heads/blue

Tails/red

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Tails/purple

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Possible outcomes: 8

3 0

3 years ago

A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete

zvonat [6]

Answer:

The real perimeter is:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

$P = 4x = 4*6 mm =24 mm$

The area for this case is given by:

$A = x^2 = 6mm^2 = 36 mm^2$

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

6 0

3 years ago

What is the ratio and diameter of the following Circle 4.2 cm

gladu [14]

Answer:

4/2 is the ratio and the diameter is 2

Step-by-step explanation:

4/2 is a fraction and 2 is when you divide 4/2. Correct me if I am wrong.

8 0

3 years ago

A population of monkeys' tail lengths is normally distributed with a mean of 25 cm with a standard deviation of 8 cm. I am prepa

Crank

Answer:

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

Step-by-step explanation:

Step(i):-

Given mean of the Population 'μ'= 25c.m

Given standard deviation of the Population 'σ' = 8c.m

Given sample size 'n' = 256

Let X₁ = 24

$Z_{1} = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } = -2$

Let X₂ = 25

$Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0$

Step(ii):-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)

= P( Z≤0) - P(Z≤-2)

= 0.5 + A(0) - (0.5- A(-2))

= A(0) + A(2) ( ∵A(-2) =A(2)

= 0.000+ 0.4772

= 0.4772

Final answer:-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

4 0

3 years ago

Will give brainliest!

Nadya [2.5K]

It was multiply (z - 12) by 2 because you have to multiply everything in the parentheses

8 0

3 years ago

Read 2 more answers