Answer:
15
Step-by-step explanation:
1 is neither prime nor composite
2 is the smallest prime
3 is the next smallest prime
5 is the next smallest
but 2,3,5 do not make a triangle
The third side must be smaller than the sum of the other two
2+3 <5 not equal to
7 is the next prime
3,5,7 are the three sides of the triangle
P = 3+5+7
P = 15
.038 would be the correct answer!
According to the condition, this equation has <u>two</u> solutions: -14/5 and 14/5.
Short explanation:
5|x|=14; ⇔ |x|=14/5; ⇒

PS. it's correct, if to substitute the values of 'x' into the condition/equation.
Answer:
The height of the density function is 
Step-by-step explanation:
Given : A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18.
To find : What is the height of the density function f(x)?
Solution :
According to question,
The height of the density function is given by,

Where, a is the lower bound a=-4
b is the upper bound b=18
Substitute the value in the formula,



Therefore, The height of the density function is 
Answer:
The money Rachael plan to collect for the shelter is <u>$350</u>.
Step-by-step explanation:
Given:
Rachel is collecting donations for the local animal shelter.
So far she has collected $245, which is 70% of what she hopes to collect.
Now, to find the money Rachael plan to collect for the shelter.
Let the total amount Rachael plan to collect be
.
Amount she collected = $245.
Percentage of amount she collected = 70%.
Now, to get the amount Rachael plan to collect we put an equation:

⇒ 
⇒ 
⇒ 
<em>Dividing both sides by 0.70 we get:</em>
⇒ 
Therefore, the money Rachael plan to collect for the shelter is $350.