What length is equivalent to 12 yards?

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Studentka2010 [4]

Do it by yourself ok

3 0

2 years ago

Read 2 more answers

Which function could be represented by the graph on the coordinate plane?

spin [16.1K]

Answer:

$\boxed{f(x)=(x-8)^2-6}$

Step-by-step explanation:

The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.

The coordinates of a point in the fourth quadrant is of the form $(x,-y)$

Considering the options, the vertex must have coordinates $(h,k)=(8,-6)$ and $a=1$ .

The quadratic function in vertex form is written as;

$f(x)=a(x-h)^2+k$

Therefore the equation of the quadratic function is;

$f(x)=(x-8)^2-6$

The correct answer is option D

8 0

3 years ago

5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that $\mu = 1511, \sigma = 312$