X= first integer
x+1= second consecutive integer
Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.
x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6
x+4=0
x=-4
If x= 6 is the first integer, x+1= 7 is the second integer
If x= -4 is the first integer, x+1= -3 is the second integer
Hope this helps! :)
So,
Serena starts with three fourths pounds of cheese, and uses two thirds of it. That is equivalent to the following expression:

Cross-cancel.

Serena used one-half pound of cheese.
The correct option is C.
Step-by-step explanation:
6 customers per hour
(given mean)
Pdf is given by:
Pdf:
for
a)
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Answer: 
Step-by-step explanation:
Given
Amber has 24 marbles
7 are red, 5 are blue,
24-12=12 is green
