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suter [353]
2 years ago
6

Given that slope = -1 and a point (3,-1), write an equation in slope-

Mathematics
1 answer:
Luden [163]2 years ago
6 0

Answer:

slope= -1 = m

Step-by-step explanation:

y = mx + b

y = -1x + b

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2 times 3+(-2)
6-2
4. Is the cord answer
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3 years ago
Is this non-linear yes or no
Serjik [45]

It's linear and equation of the function is :

f ( x ) = 2x - 1

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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
A(n)=-14+3(n-1)(2)<br> find A(9)
Romashka [77]

Answer: 34

Step-by-step explanation:

Substitute n with 9

-14+3(9-1)(2)

-14+3(8)(2)

= 34

7 0
2 years ago
Six books stand on the bookshelf.
iris [78.8K]

Answer:

10.1 cm

Step-by-step explanation:

1.2 + 0.8 + 2.4 + 1.9 + 1.5 + 2.3 = 10.1 cm

3 0
2 years ago
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