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zmey [24]
3 years ago
15

What is the factorization of the trinomial below? 12x2-x-35

Mathematics
2 answers:
Sidana [21]3 years ago
5 0

Answer:

(4x−7)⋅(3x+5)

Step-by-step explanation:

Its that because of the steps that you learn

Fittoniya [83]3 years ago
3 0
Answer : -(11+x)

Steps :

12*2-x-35
24-x-35
-11-x
-(11+x)
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The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
PLEASE HELP!! I'LL MARK BRAINLIEST & 30 POINTS
ser-zykov [4K]

We are first ask to translate this equation. So using the correct notation...

3X-9=6x6/4

We can also solve it.

3x-9 = 6x6/4

3x-9 = 36/4

3x-9 = 9

3x = 18

x=6

answer: X=6

3 0
3 years ago
Help me please <br> PLEASEEE
vodka [1.7K]
So you can do 1/2 and then divide it by 1/8.

To divide by a fraction, multiply by its reciprocal.
So;
1/2 / 1/8 = 1/2•8/1

1/2• 8 = 8/2
8/2= 4

So he can fill 4 mugs!!!

Brainliest if i helped!
7 0
3 years ago
Read 2 more answers
A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and
Marta_Voda [28]

Answer:

3x+5 < n < x-1

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the Triangle Inequality Theorem

1) (2x+2)+(x+3) > n

solve for n

3x+5> n

Rewrite

n

2) (x+3)+n> 2x+2

n> x-1

therefore

3x+5 < n < x-1

5 0
3 years ago
Given that f(x) = 5x^2-3x+7 and f(g(x))=(5x^4)/9 + (17x^2)/3 + 21. Find all possible values for the sum of the coefficients in t
shtirl [24]

steps

(x) = 5x^2-3x+7

refine

x=5x^2-3x+7

Switch sides

5x^2-3x+7-x=x-x

Subtract x from both sides

5x^2-4x+7=0

Solve with the quadratic formula

8 0
3 years ago
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