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3 years ago

Multiply and simplify (b+2)(b+2) Multiply and simplify (x+3)(x-3)

2 answers:

8 0

1.
Simplify
b^2+4b+4

And To Get The Answer Combine Like Terms.

2.
Simplify
x^2-9

And To Get The Answer Combine Like Terms.

vladimir2022 [97]3 years ago

3 0

The first one is a sum squared.
(b+2)^2
b^2 + 2b + 4

The second one is a sum and difference.
x^2 - 9

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4 years ago

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The frequency of the musical note E3 is about 164.81 Hz.

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4 years ago

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3 years ago

A random sample of computer startup times has a sample mean of x¯=37.2 seconds, with a sample standard deviation of s=6.2 second

juin [17]

Answer:

95% of the data lies between 24.8 and 49.6

Step-by-step explanation:

* Lets revise the empirical rule

- The Empirical Rule states that almost all data lies within 3

standard deviations of the mean for a normal distribution.

- 68% of the data falls within one standard deviation.

- 95% of the data lies within two standard deviations.

- 99.7% of the data lies Within three standard deviations

- The empirical rule shows that

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* Lets solve the problem

- A random sample of computer startup times has a sample mean of

μ = 37.2 seconds

∴ μ = 37.2

- With a sample standard deviation of σ = 6.2 seconds

∴ σ = 6.2

- We need to find between what two times are approximately 95%

of the data

∵ 95% of the data lies within two standard deviations

∵ Two standard deviations (µ ± 2σ) are:

∵ (37.2 - 2 × 6.2) = 24.8

∵ (37.2 + 2 × 6.2) = 49.6

∴ 95% of the data lies between 24.8 and 49.6

* 95% of the data lies between 24.8 and 49.6

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3 years ago

I’m confused on this one

Ghella [55]

In a parallelogram, the opposite angles will be congruent to each other.

In this parallelogram, angles B and C are congruent, and angles A and D are congruent.

We will work on angles B and C first. Set the two angles to equal each other:

$12x + 6 = 6x + 66$

Subtract 6 from both sides:

$12x = 6x + 60$

Subtract 6x from both sides:

$6x = 60$

Divide both sides by 6 to get x by itself:

$\boxed{x = 10}$

x will equal 10.

Set angles A and D to equal each other:

$54 = 3y$

Divide both sides by 3 to get y by itself:

$\boxed{y = 18}$

y will equal 18.

The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.

3 0

4 years ago