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kolbaska11 [484]

3 years ago

9

2. Josh has m marbles. Matthew has 5 more than triple the number of marbles that Josh has. In terms of m, how many marbles does

Matthew have?

1 answer:

Nimfa-mama [501]3 years ago

3 0

3m+5
Josh’s marbles can be represented by m
Matthew’s marbles can be represent by 3m+5 (the 3m is for triple what Josh has which is m)

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What is the inverse of the function f(x) = x +3?

MAXImum [283]

Answer:

f⁻¹(x) = x - 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Functions
Function Notation
Inverse Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = x + 3

<u>Step 2: Find</u>

Swap: x = y + 3
[Subtraction Property of Equality] Isolate <em>y</em>: x - 3 = y
Rewrite: f⁻¹(x) = x - 3

6 0

3 years ago

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

3 years ago

What is the probability of spinning green?

professor190 [17]

0.25 because there is 4 colours and obviously red is 0.75 percent and green and blue can’t be lower than 0.5 cuz that’s for yellow and there’s no 0%

(That makes no sense but it’s 0.25%)

3 0

3 years ago

Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much

Dimas [21]

You need to multiply the answer by how many people got that amount, Jan +her 2 friends would be 3 people so
32.19 x 3 = 96.57

5 0

3 years ago

Read 2 more answers

The parabola y = x² - 4 opens: <br> A.) up <br> B.) down<br> C.) right<br> D.) left

fomenos

Answer:

Up

Step-by-step explanation:

Here the easy rules to remember the orientation of the parabolas are

a) If x is squared it opens up or down. And its coefficient of { $x^{2}[tex] is negative it opens down.b) If y is squared it opens side ways right or left. It its coefficient of [tex]y^{2}$

Hence in our equation of parabola

$y = x^ 2-4$

x is squared and its coefficient is positive , hence it opens up towards positive y axis.

3 0

3 years ago