Answer:
7
Step-by-step explanation:
(343) ^ (1/3)
Rewriting 343 as 7^3
( 7^3) ^ (1/3)
7
Answer:
Only the one to the left
Step-by-step explanation:
Because they are all equivalent ratios
Answer:
A on ed
Step-by-step explanation:
Answer:
And we can use the complement rule and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution of X is normal then the distribution for the sample mean is given by:
And we can use the z score formula given by:
And using this formula we got:
And we can use the complement rule and we got:
Answer: the probability is 0.49
Step-by-step explanation:
Since the account balances at the large bank are normally distributed.
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = account balances.
µ = mean account balance.
σ = standard deviation
From the information given,
µ = $1,637.52
σ = $623.16
We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as
P(x > 1650) = 1 - P(x ≤ 1650)
For x = 1650,
z = (1650 - 1637.52)/623.16 = 0.02
Looking at the normal distribution table, the probability corresponding to the z score is 0.51
P(x > 1650) = 1 - 0.51 = 0.49
statement.
9514 1404 393
Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
Answer:
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity.
Answer:
1/a^3 and 1/b^5
Answer: -5g + 15h - 25 = -5 × (g - h + 5)
Step-by-step explanation:
Step-by-step explanation:
first we do this -5g = -5 × g
then 15h = 5 × 3h
so, -25 = -5 × 5
when -5g + 15h - 25 = -5 × g - (-5 × 3h) + (-5 × 5)
the answer is = -5 × (g - h + 5)
According to the Factors of a Negative Number
First The factors of a number entail all of the numbers that can be multiplied by one another to produce that many numbers.
According to The laws of multiplication that the state when a negative number is multiplied by a positive number then also the product will be negative.
Although when the Factors are those numbers. when it is multiplied with together then the result is another number, which is known as a product.