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4 years ago

Which expression is equivalent to 1/3p+15?

Mathematics

1 answer:

Yuki888 [10]4 years ago

3 0

Answer: 46p

Step-by-step explanation: you flip the 15 and p over to the side and you multiply 1t and 1/3, you divided the answer by p and you get 46p

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Name the property the equation illustrates.<br> (ab)3 = a (63)<br> Accociative Property of addition

Delvig [45]

<h3><u>Question:</u></h3>

Name the property the equation illustrates

(ab)3 = a(b3)

A. Commutative property of addition

B. Associative property of Multiplication

C. Associative Property of Addition

D. Inverse Property of Multiplication

<h3><u>Answer:</u></h3>

Associative property of Multiplication

<h3><u>Solution:</u></h3>

From given equation

(ab)3 = a(b3)

We have to find the property used here

We find the brackets are interchanged

So here, given is a multiplication equation

Therefore, Associative property of Multiplication is used

<h3><u>Associative property of Multiplication:</u></h3>

This property says that when we are multiplying it does not matter where you put the parenthesis

The result will be same wherever we put the parenthesis in multiplying two or more numbers

Which means,

$a \times (b \times c) = (a \times b) \times c$

Therefore, from given,

$a \times (b \times 3) = (a \times b) \times 3$

Thus associative property of multiplication is used

8 0

4 years ago

The test statistic of z equals negative 1.37 is obtained when testing the claim that p equals1 divided by 4. a. Using a signific

spin [16.1K]

Answer: a) critical value = 0.0853, b) we reject the null hypothesis.

Step-by-step explanation:

Since we have given that

z = -1.37

And the hypothesis are given below:

$H_0:p=\dfrac{1}{4}=0.25\\\\H_1:p\neq 0.25$

Since α = 0.01

since critical value = 0.0853

As we can see that 0.853 < 0.25.

so, we reject the null hypothesis.

Hence, a) critical value = 0.0853, b) we reject the null hypothesis.

6 0

4 years ago

Solve for x round to the nearest degree if necessary

natulia [17]

Answer: 35.9 degrees

Step-by-step explanation:

Since cosine(x) is adjacent/hypotenuse, cosine(x) = 47/58.

Therefore we can take the arc cosine of 47/58, and we get x is about 35.9

5 0

3 years ago

Read 2 more answers

A rotation is a transformation where an object move

ICE Princess25 [194]

Let's rephrase this:

Here:

There are 3 geometric transformations:

1. Rotation

Shapes are rotated or turned around an axis.

2. Reflection

Shapes are flipped across an imaginary line to make mirror images.

3. Translation

Shapes are slid across the plane.

7 0

2 years ago

Alice, Bob, and Carl arrange to meet for lunch on a certain day. They arriveindependently at uniformly distributed times between

Svetllana [295]

Answer:

a. What is the probability that Carl arrives first?

Probability that Carl arrives first is ¹/₃ = 33.33% since their arrival times is uniformly distributed. The same probability applies to Bob and Alice.

b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?

Assuming that Carl arrived on time, 1:10 PM, we must determine the probability that Alice or Bob arrive between 1:20 and 1:30 (half the remaining time)

P = [3 · (¹/₂ - ¹/₃)] · [3 · (¹/₂ - ¹/₃)] = (3 · ¹/₆) · (3 · ¹/₆) = ¹/₂ · ¹/₂ = ¹/₄ = 25% chance that either Alice or Bob arrive more than 10 minutes later

c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?

P = 1 - 25% = 75%

d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?

I divided the 20 minutes by 5 to get ¹/₄:

P (|S - T| ≤ ¹/₄) = {[(x + ¹/₄)²] / 2} + (1 / 2x) + {[(⁵/₄ - x)²] / 2} = 0.09375 + 0.25 + 0.09375 = 0.4375 = 43.75%

4 0

3 years ago