The solution of the word problem is a = 2
Word Problems are mathematical problems presented in complete languages, rather than in mathematical notations.
Example: Let a number is divided by half, the result is added to itself to give 6, what is the number?
Solution: Let the number be a
Now, dividing a by half, we get
a ÷
= 2a
Now, adding the result to the number itself, we will get 6 i.e.,
2a + a = 6
3a = 6
Dividing both the sides by 3, we get
a = 2
Therefore, the solution is a = 2
Complete question: Write your own word problem and share it with the group. Then translate your problem into its resulting math equation. What steps would you then follow to solve for the variable?
Know more about Word Problems: -brainly.com/question/21405634
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We have that
−27x2yz5 + 15x3z3
we know that
27-------------> 3³
15-------------> 3*5
z^5-----------> z² * z³
x³------------> x² * x
substituting in the original expression<span>
−27x2yz5 + 15x3z3---------->[-3</span>³*x²*y*z³*z²]+[3*5*x²*x*z³]
[-3³*x²*y*z³*z²]+[3*5*x²*x*z³]-------> [3*x² *z³]*{[-3² *y*z²]+[5*x]}
the greatest common factor is [3*x² *z³]
Answer:
3015
Step-by-step explanation:
45×67
is equal to Three thousand & fifteen
Answer:
Step-by-step explanation:
According to the given question, a tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 37,000 miles and a standard deviation of 3,887 miles.
Let us define X be the random variable shows that the mileages tires normally distributed with
mean
μ = 37000
standard deviation
σ
=3, 887
Therefore
X ~ (μ = 37000, σ =3,887)
The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. Therefore the guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage is determined as:
P(X < k) = 0.02

From the standard normal curve 2% area is determined as -2.0537 and hence
If we consider z value at two decimal places then

Therefore the guaranteed 29032 mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.
The area under the standard normal curve is determined as: