How do you solve this?
2 answers:
The method to solve this answer is fairly simple.
First, write out your brackets like so: (x )(x ), leaving a space for the number that you will use in this factorisation
Next, find two numbers that multiply to give you +20 (the integer), but also add to give you -9 (the coefficient of x). The two numbers are -4 and -5
Now, you can place the two numbers into the brackets to give you the factored form:
(x-4)(x-5)
We know this is correct because if you expand these brackets, you get your original expression (shown in the attached image)
First, write out your brackets like so: (x )(x ), leaving a space for the number that you will use in this factorisation
Next, find two numbers that multiply to give you +20 (the integer), but also add to give you -9 (the coefficient of x). The two numbers are -4 and -5
Now, you can place the two numbers into the brackets to give you the factored form:
(x-4)(x-5)
We know this is correct because if you expand these brackets, you get your original expression (shown in the attached image)
You might be interested in
Answer:
The proportion of borrowers who owe more than 54,000 is 0%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Researchers found that the average student loan balance per borrower is $23,300.
This means that
They also reported that about one-quarter of borrowers owe more than $28,000.
This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find
Estimate the proportion of borrowers who owe more than 54,000.
This is 1 subtracted by the p-value of Z when X = 54000. So
has a p-value of 1
1 - 1 = 0
The proportion of borrowers who owe more than 54,000 is 0%.
Answer:
The sides are as follows:
Step-by-step explanation:
Starting with the side y, we can use the tan to solve for y:
The side x can be determined using sin:
So, the sides as as follows:
(you can also verify this result is correct using the Pythagorean theorem)
The standard error of the mean is 12.
The standard error of the mean points to the standard deviation of the distribution of a sample mean obtained from a population.
The standard error S.E of the mean can be calculated by using the formula:
where;
- standard deviation
= 24
- sample size n = 4
S.E = 12
Learn more about the Standard error of the mean here: