<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Answer:
the answer is c
Step-by-step explanation:
Answer:
We conlude that it is cluster random sample.
Step-by-step explanation:
We know that:
The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,000 controllers from the store's primary supplier. The shipment consists of 200 boxes each containing 25 controllers. The buyer numbers the boxes from 1 to 200 and randomly selects six numbers in that range. She then opens the six boxes with the corresponding numbers, examines all 25 controllers in each of these boxes, and determines the proportion of the 150 controllers that are defective.
We conlude that it is cluster random sample.
Answer:
The probability that a student is taking math or computer science is 0.37
Step-by-step explanation:
The probability that a student is taking math =P(M)=33% =0.33
The probability that a student is taking computer science =P(C)= 62%=0.62
The probability that a student is taking math and computer science =P(M∩C)= 58%=0.58
So, the probability that a student is taking math or computer science i.e.P(M∪C)
So, Formula:P(A∪B)=P(A)+P(B)-P(A∩B)
P(M∪C)=P(M)+P(C)-P(M∩C)
P(M∪C)=0.33+0.62-0.58
P(M∪C)=0.37
Hence the probability that a student is taking math or computer science is 0.37
