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jasenka [17]
3 years ago
15

What length is equivalent to 12 yards?

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

36 feet

Step-by-step explanation:

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Studentka2010 [4]
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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

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

1.645 = \frac{X - 1511}{312}

X - 1511 = 1.645*312

X = 2024

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

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

1.645 = \frac{X - 21.1}{5.1}

X - 21.1 = 1.645*5.1

X = 29.49

The equivalent ACT score is 29.49.

5 0
2 years ago
Gretchen earns extra money mowing lawns on the weekend. She mows 3 lawns per hour and earns $12.00 per lawn. How much does Gretc
stepladder [879]

Gretchen will earn $48 from mowing in 4 hours

Data

  • Amount earned on each lawn = $12
  • Number of hours mowing = 4 hours

<h3>What is Rate</h3>

This is the measure of one unit against another unit. An example of this is speed which is the rate of distance covered to time.

In this case, she mows 1 lawn in each hour and earns $12 on each.

To calculate for 4 hours

4*12=$48

She earns $48 from mowing 4 lawns

learn more on rates here;

brainly.com/question/8728504

4 0
2 years ago
Michael is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability 0.60. , point,
Sati [7]

Answer:

0.1306

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of free throws

x = Number of successes required = 6

p = probability of success = 0.60

q = probability of failure = 1 - 0.60 = 0.40

P(X = 6) = ⁷C₆ (0.6)⁶ (0.4)⁷⁻⁶ = 0.1306368 = 0.1306

Hope this Helps!!!

4 0
2 years ago
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