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riadik2000 [5.3K]

3 years ago

9

You have a photo that measures 1 in. wide by 3 in. tall. If you want to enlarge the photo so that the height is 18 in., what wil

l the width of the photo be?

1 answer:

kiruha [24]3 years ago

4 0

6in... 3 times 6 is 18, so 1 times 6 is 6

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The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of π is 3.14. T

butalik [34]

Area = (theta/360)* pi * r^2
where theta is the angle of the sector
subs by your givens in the above equation
2.512 = (theta/360) * pi * (4)^2
theta = (2.512 * 360) /(pi*(4)^2)
theta = 18 degree

4 0

3 years ago

Sketch the graph that has an area of under the standard normal curve and to the left of the z-score. Then find the associated

Anestetic [448]

The normal distribution is also known as the Gaussian distribution. The correct option is B, while the approx z-score is 0.31.

<h3>What is Normal Distribution?</h3>

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Since the normal distribution is symmetrical about the mean. Therefore, the correct option is B, while the approx z-score is 0.31.

Learn more about Normal Distribution:

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4 0

2 years ago

Find the equation that passes through (0,-1) and (-2,-2)

ArbitrLikvidat [17]

Answer:

y=1/2x-1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Translation 5 units right and 1 unit up

dsp73

Answer:

hope this helps

Step-by-step explanation:

just have to move the points 5 times to the right but don't stop there!you gotta move 1 unit up then plot your final points

8 0

2 years ago

The whole numbers a and b are divisible by c. Is a+b divisible by c? Is b−a divisible by c? Explain your reasoning.

gizmo_the_mogwai [7]

Answer:

$a+b$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

$b-a$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

Step-by-step explanation:

Let $a$ , $b$ whole number that are divisible by $c$ . Then, we have that $d = \frac{a}{c}$ and $e = \frac{b}{c}$ , which are also whole numbers. We proceed to prove that $a + b$ is divisible by $c$ :

1) $d = \frac{a}{c}$ , $e = \frac{b}{c}$ , $a$ , $b$ , $c$ , $d$ , $e$ $\in \mathbb{Z}$ Given

2) $d + e = \frac{a}{c}+\frac{b}{c}$ Compatibility with addition

3) $d+e = a\cdot c^{-1}+b\cdot c^{-1}$ Definition of division

4) $d + e = c^{-1}\cdot (a+b)$ Commutative and distributive properties

5) $d+e = (a+b) \cdot c^{-1}$ Commutative properties

6) $d+e = \frac{a+b}{c}$ Definition of division/Result

Therefore, $a+b$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

We proceed to prove that $b-a$ is divisible by $c$ :

1) $d = \frac{a}{c}$ , $e = \frac{b}{c}$ , $a$ , $b$ , $c$ , $d$ , $e$ $\in \mathbb{Z}$ Given

2) $d\cdot (-1) = \frac{a}{c}\cdot (-1)$ Compatibility with multiplication

3) $e + d\cdot (-1) = \frac{b}{c}+\frac{a}{c}\cdot (-1)$ Compatibility with addition

4) $e + d\cdot (-1) = b\cdot c^{-1}+(a\cdot c^{-1})\cdot (-1)$ Definition of division

5) $e + d\cdot (-1) = b\cdot c^{-1} + [a\cdot (-1)]\cdot c^{-1}$ Associative and commutative properties

6) $e + d\cdot (-1) = c^{-1}\cdot [b+a\cdot (-1)]$ Commutative and distributive properties.

7) $e+d\cdot (-1) = [b+a\cdot (-1)]\cdot c^{-1}$ Commutative properties.

8) $e + d\cdot (-1) = \frac{b+a\cdot (-1)}{c}$ Definition of division

9) $e-d = \frac{b-a}{c}$ $(-1)\cdot a = -a$ /Definition of subtraction

Therefore, $b-a$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

7 0

3 years ago