Answer:
x = -7/3 or -5
Step-by-step explanation:
3x^2 + 22x = -35
3x^2 + 22x + 35 = 0
(3x + 7) (x + 5) = 0
so for 3x+7:
3x+7 = 0
3x = -7
x = -7/3
So for x + 5:
x + 5 = 0
x = -5
Answer:36 16
Step-by-step explanation:
Answer:
The standard deviation of weight for this species of cockroaches is 4.62.
Step-by-step explanation:
Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
To find : What is the approximate standard deviation of weight for this species of cockroaches?
Solution :
We have given,
Mean 
The sample mean x=55
A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
i.e. P(X>55)=14%=0.14
The total probability needs to sum up to 1,



The z-score value of 0.86 using z-score table is z=1.08.
Applying z-score formula,

Where,
is standard deviation
Substitute the values,





The standard deviation of weight for this species of cockroaches is 4.62.
Answer:
Answer is 16/12
Step-by-step explanation:
Tan is Opposite by Adjacent. the opposite side is 16, adjacent side is 12 and hypotenuse is 20.
so O/A= 16/12
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9