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tino4ka555 [31]
3 years ago
8

Solve and graph the solution to each inequality.

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0

Answer:

x ≤ 24

Step-by-step explanation:

x + 14 ≤ 38

   - 14    -14

       x ≤ 24

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Write an equation for this trend line
jeka94

Answer:

y=-1/3x+8 i think

Step-by-step explanation:

3 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
What is one fourth of a number decreased by 10,is -50 <br>​
Rashid [163]

1/4x - 10 = -50

1/4x = one forth of a number

-10 is decreased by 10

= -50 means is -50

5 0
3 years ago
Read 2 more answers
The sum of the first 150 negative integers is represented using the expression What is the sum of the first 150 negative integer
Kamila [148]

Answer:

C. -11,325

Step-by-step explanation:

  • To know the answer, is convenient to replace some values of "n" in the sum \sum_{(n=1)}^{150}[-1-(n-1)].
  • The result would appear after adding up every value of the expression \sum_{(n=1)}^{150}[-1-(n-1)] when n=1,2,3.....,150.
  • When n=1, the expression takes the value of (-1): [-1-(1-1)]= (-1)-0=-1.
  • When n=2, the expression takes the value of (-2): [-1-(2-1)]=-1-1=-2.
  • Following this way, for every n, we will obtain -n, then, the sum will be: -1-2-3-4-5-6-...-150. This sum can actually be expressed as \sum_{n=1}^{150}(-n), which is the result of solving the initial expression of the sum -1-(n-1)=-1-n+1=-n.
  • Finally, the sum of n=-1 to n=-150 equals -11,325.
7 0
3 years ago
Read 2 more answers
A sample of adults was asked to choose their favorite sport to watch from a list of four sports.
Dmitriy789 [7]

Answer:

15/39

Step-by-step explanation:

7 0
3 years ago
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