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3 years ago

Compare 3 + (–4) to (–4) + 3. What happens to the sum when the addends are reversed?

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

The sum stays the same??? I’m pretty sure that’s the answer

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Suppose you are given either a fair dice or an unfair dice (6-sided). You have no basis for considering either dice more likely

hoa [83]

Answer: Our required probability is 0.83.

Step-by-step explanation:

Since we have given that

Number of dices = 2

Number of fair dice = 1

Probability of getting a fair dice P(E₁) = $\dfrac{1}{2}$

Number of unfair dice = 1

Probability of getting a unfair dice P(E₂) = $\dfrac{1}{2}$

Probability of getting a 3 for the fair dice P(A|E₁)= $\dfrac{1}{6}$

Probability of getting a 3 for the unfair dice P(A|E₂) = $\dfrac{1}{3}$

So, we need to find the probability that the die he rolled is fair given that the outcome is 3.

So, we will use "Bayes theorem":

$P(E_1|A)=\dfrac{P(E_1)P(A|E_1)}{P(E_1)P(A|E_1)+P(E_2)P(A|E_2)}\\\\(E_1|A)=\dfrac{0.5\times 0.16}{0.5\times 0.16+0.5\times 0.34}\\\\P(E_1|A)=0.83$

Hence, our required probability is 0.83.

8 0

3 years ago

If you know that log5 (2) - log5 (12) = 0, which of the following is false?

garri49 [273]

Answer:

Step-by-step explanation:

A is correct because $log_5(12)$ was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that $log_bM-log_bN=log_b(\frac{M}{N} )$

so $log_5(x)-log_5(12)=log_5(\frac{x}{12} )$ is correct

D is correct because using the fact that $log_5x=log_512$ it is easy to figure out that x=12

For B, there is no property supporting that statement.

8 0

2 years ago

PLEASE ANSWER WITH AN EXPLANATION! THANK YOU

lubasha [3.4K]

Answer:

$\large\boxed{A=153\ cm^2}$

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

$A=a^2$

Substitute:

$A_I=9^2=81\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2$

The formula of an area of a right triangle:

$A=\dfrac{l_1l_2}{2}$

Substitute:

$A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2$

The area of the shape:

$A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2$

8 0

2 years ago

Please help solve <br> Problem

Vinvika [58]

Hey! just so you know you put it upside down but the answer is 23.

3 0

2 years ago

Read 2 more answers

Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4 23 - 70 16

↓ - 32 72 - 16

---------------------------------

4 - 9 2 0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

8 0

3 years ago