write an expression that shows how you can multiply 9*475 using expanded form and the distributive property

Answers

Answer 1

Answer: 475 = 400 + 70 + 5

therefore

9 × 475 = 9 × (400 +70 + 5) = 9 × 400 + 9 × 70 + 9 × 5
=3600 + 630 + 45 = 4275

I think... It's better to use Distributive Property:
(a - b) × c = a × c - b × c

9 = 10 - 1

therefore:
(10 - 1) ×475 = 10 × 475 - 1 × 475 = 4750 - 475 = 4275

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HELP ASAP< BRAINLIEST IF RIGHT

Answers

Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.

Convert the following Decimal to a Fraction (reduce to the lowest terms): .176 =

Answers

Convert the following Decimal to a Fraction (reduce to the lowest terms): .176 =

When the scale factor between two circles is “x” the scale factor between the 1_________________________is also “x” and the scale factor of the _________________________is “x2”

Answers

Answer:

When the scale factor between two circles is “x” the scale factor between the radius is also “x” and the scale factor of the area is “x^2"

this is only one possible answer. For example, instead of radius, you could have put diameter or circumference.

Write the expression as the sine, cosine, or tangent of an angle. sin 57° cos 13° - cos 57° sin 13°
Select one:
a. cos 70°
b. cos 44°
c. sin 44°
d. sin 70°

Answers

Answer: The correct option is (c) sin 44°.

Step-by-step explanation: We are given to write the following expression as the sine, cosine or tangent of an angle :

$T=\sin 57^\circ\cos13^\circ-\cos57^\circ\sin13^\circ.$

We will be using the following trigonometric formula :

$\sin (A+B)=\sin A\cos B-\cos A\sin B.$

Therefore, we get

$T\n\n=\sin 57^\circ\cos13^\circ-\cos57^\circ\sin13^\circ\n\n=\sin(57^\circ-13^\circ)\n\n=\sin 44^\circ.$

Thus, the required expression can be written in sine of an angle of measure 44°.

Option (c) is CORRECT.

Use this formula: sin (x-y) = sinx cosy - cosx siny

sin57 cos13 - cos57 sin13 = sin (57 -13) = sin (44)

PLEASE HELP! GEOMETRY. The circle design is based on twelve equally spaced points placed around the circumference of the circle. As the group lays out the design, the measure of angle GAH is ____ degrees, to the nearest degree.

Answers

I hope this helps you

A container holds 50 electronic components, of which 10 are defective.1. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is ?
A) 0.26
B) 0.42
C) 0.75
D) 0.91
E) 1.00
2. If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is ?
A) 0.147
B) 0.203
C) 0.300
D) 0.375
E) 0.750

Answers

1.) q = P(defective) = 10/50 = 0.2
p = P(not defective) = 1 - P(defective) = 1 - 0.2 = 0.8
P(x) = nCr p^x q^(n-x)
P(x ≥ 4) = P(4) + P(5) + P(6) = 6C4 * (0.8)^4 * (0.2)^2 + 6C5 * (0.8)^5 * 0.2 + (0.8)^6 = 15 * 0.4096 * 0.04 + 6 * 0.32768 * 0.2 + 0.262144 = 0.24576 + 0.393216 + 0.262144 = 0.90112
Option D is the correct answer.

2.) p = P(defective) = 10/50 = 0.2
q = P(not defective) = 1 - P(defective) = 1 - 0.2 = 0.8
P(x) = nCr p^x q^(n-x)
P(x = 3) = 8C3 * (0.2)^3 * (0.8)^5 = 8C3 * 0.008 * 0.32768 = 56 * 0.008 * 0.32768 = 0.1468
Option A is the correct answer.

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