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3 years ago

X2 - 5x + 4 What is equivalent to this expression?

Mathematics

2 answers:

drek231 [11]3 years ago

6 0

Answer

(x-1) (x-4)

Step-by-step explanation:

I did this not long ago in class so that's the answer

nadya68 [22]3 years ago

5 0

If you want to factor, then you need to find two numbers that multiply to 4 and add to -5. Those two numbers are -4 and -1

-4 times -1 = 4

-4 plus -1 = -5

This means x^2-5x+4 factors to (x-4)(x-1). The order of the factors does not matter, as we can multiply in any order, so it is equivalent to (x-1)(x-4)

You can use the FOIL rule or the box method to expand out (x-4)(x-1) to get x^2-4x-1x+4 = x^2-5x+4 again. This confirms we have the proper factorization.

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

$Z = \frac{X - \mu}{\sigma}$

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

The quadratic equation ax^2+32x+c=0 has exactly one solution. If a+c=130, and a>c, find the ordered pair (a,c).

vitfil [10]

Ie 32^2 - 4ac=0 so ac=256 and a+c=130
So, that means:2 equations ac=256 a+c=130 ie c=130-a
So,a(130-a)=256 so 130a -a^2=256 ie a^2-130a +256=0 (a-2)(a-128)=0
Finally,giving a= 2 or a=128 so, a=2 c=128 or a=128 c=2
Since, a>c , a=128 and c=2 ie (128,2)

4 0

4 years ago

How do i find the greatest common factor of 84 and 36

Rufina [12.5K]

Answer:

What is the GCF of 36 and 84?

Find the prime factorization of 36.

Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.

GCF = 12.

The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. We can get all the factors using the prime factorization method.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is spending at a rate of $10 per week.

AveGali [126]

Let x be the number of weeks for this financial situation. The amount that Katherine will have at the end of x weeks is 140 + 6x. On the other hand, with the spending that she is doing, Abbie will have 462 - 10x after x weeks. Equating the two,
140 + 6x = 462 - 10x
Thus, the answer is letter B.

3 0

3 years ago

Read 2 more answers

Four girls are cutting string to be used for bracelets. They have 8 1/6 yards of string. Each bracelet uses 2 1/4 feet of string

Gelneren [198K]

6 bracelets
So ya ya

8 0

3 years ago