Answer:
The swimmer must complete the 200-meter backstroke in no more than 130 seconds.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Fastest 6%
At most in the 6th percentile, that is, at most a value of X when Z has a pvalue of 0.07. So we have to find X when Z = -1.555.




The swimmer must complete the 200-meter backstroke in no more than 130 seconds.
Answer:
8 * 10^6
Step-by-step explanation:
The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;
A * 10^n
A is any integer between 1 and 10
n is any integer.
Given the value 8,406,000
8,406,000.
We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;
8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)
Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6
Answer:

Step-by-step explanation:
Equation: 
Jalil says it is not possible to isolate x because x has a different unknown coefficient.
Victoria t. Victoria believes there is a solution
Solving the equation:




So, this shows x can be isolated .
Victoria was right .
It was not possible to isolate x if the coefficients of x would be same .
But in the given equation the coefficients of x are not same .
So, Victoria is right.
Answer:
$3.50 each
Step-by-step explanation:
First subtract the drink price from the total,$8.50-$1.50=$7. then divide that amount by 2 since he got 2 burgers. $7/2=$3.50.Each burger is $3.50.
Answer:
Option (B).
Step-by-step explanation:
Here there are two parallel lines c and d cuts by a transversal p.
The angles are formed as shown in diagram.
Here,

So, the option (B) is correct.