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vagabundo [1.1K]
1 year ago
8

Which of the given values are in the interval (-3,1]?

Mathematics
1 answer:
Vladimir [108]1 year ago
6 0

The values coming in the interval (-3,1] are -2, -1, 0, and 1.

<h3>What is defined as the term interval notations?</h3>
  • An interval is represented on a number line using interval notation. In all other sayings, it is a method of writing real number line subsets.
  • An interval is made up of numbers that fall between two specific data set.
  • Intervals can be categorized according to the numbers in the set.
  1. Interval Open: The endpoints of a inequality are not included in this type of interval.
  2. Interval Closure; The endpoints of a inequality are included in this type of interval.
  3. Interval with Half-Open Doors: This interval contains only one of inequality's endpoints.

The given interval notation is;

(-3,1], it is the case of half open half close.

-3 comes with the open interval, it means its value will not be included in the interval.

1 is with the closed interval, it means its value will be included in the interval.

Thus, the values lying between the interval (-3, 1] are  -2, -1, 0, and 1.

To know more about the interval notations, here

brainly.com/question/16768997

#SPJ10

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Write the equation of the line that passes through the points (-6,-1) and (-4,2). Put your answer in fully simplified point-slop
Archy [21]

(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{2 +1}{-4 +6} \implies \cfrac{ 3 }{ 2 }

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y +1= \cfrac{3}{2} (x +6) \end{array}}

4 0
1 year ago
Can someone please help with this ?
olga nikolaevna [1]

Answer:1/32

Step-by-step explanation:

8 0
2 years ago
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p
klasskru [66]

Answer:

99.89% of students scored below 95 points.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 76.4, \sigma = 6.1

What percent of students scored below 95 points?

This is the pvalue of Z when X = 95. So

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

Z = \frac{95 - 76.4}{6.1}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989.

99.89% of students scored below 95 points.

5 0
3 years ago
Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'
IgorC [24]
Rectangle ABCD
Line AB = 4 - 1 = 3
Line CD = 4 - 1 = 3
Line AC = 2 - 1 = 1
Line BD = 2 - 1= 1

If line A'B' = 6

the scale factor of the dilation is 2.

Line AB: 3 x 2 = 6 line A'B/
5 0
3 years ago
Read 2 more answers
15.9 ounces =how many grams
umka2103 [35]

Answer: 450 Grams


Step-by-step explanation: How do you get the answer? Multiply 15.9 Ounces by 28.3 Grams. 28.3 Grams is about 1 Ounce. You should get about 450 grams when rounded to the nearest whole number.


5 0
2 years ago
Read 2 more answers
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