You need to use pemdas i will give i the answer in a minute
Answer:
Solution: x = 135
Step-by-step explanation:
Hi there!
First, let´s write the equation:
√(x + 9) /4 = 3
Multiply by 4 both sides of the equation
√(x + 9) = 12
square both sides of the equation
x + 9 = 144
subtract 9 to both sides of the equation
x = 135
Let´s check the solution:
√(x + 9) /4 = 3
x = 135
√(135 + 9) /4 = 3
√(144) /4 = 3
12/4 = 3
3 = 3
Then, x = 135 is the solution to the equation.
Have a nice day!
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be 
And the number of dog be 
So, total number of animals:
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
Dividing both sides by -2 we get:
The number of duck = 1.
Now, putting the value of 
in above equation we get:
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
Answer:
Step-by-step explanation:
Quotient of two numbers also means the result of the two numbers after division.
If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;
<em>(note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)</em>
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On solving the inequality for the variable t
<em>Hence t is at most 63</em>
Answer:
With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 37
sd = 10
n = 44
degree of freedom = n - 1 = 44 - 1 = 43
t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165
E = t × sd/√n = 2.0165×10/√44 = 3.04
Lower limit = mean - E = 37 - 3.04 = 33.96
Upper limit = mean + E = 37 + 3.04 = 40.04
95% confidence interval is between 33.96 and 40.04
