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Scorpion4ik [409]
3 years ago
13

Three consecutive even integers add to −6. What are these integers?

Mathematics
2 answers:
notka56 [123]3 years ago
6 0
----------------------------------------------------
Define the numbers
----------------------------------------------------
Let the first even number be x
1st even number = x
2nd even number = x + 2
3rd even number = x + 4

----------------------------------------------------
Form the equation and solve
----------------------------------------------------
 x + x + 2 + x + 4 = -6
3x + 6 = -6
3x = - 12
x = -4

----------------------------------------------------
Find the numbers
----------------------------------------------------
1st even number = x = -4
2nd even number = x + 2 = -4 + 2 = -2
3rd even number = x + 4 = -4 + 4 = 0

----------------------------------------------------
Answers: The numbers are -4, -2 and 0
----------------------------------------------------
nadezda [96]3 years ago
6 0

Answer:

-4, -2, 0

Step-by-step explanation:

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It depend upon what you roll it could be 6 because there are 6 faces are the dice 
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3 years ago
The average Act score follows a normal distribution, with a mean of 21.1 and a standard deviation of 5.1. What is the probabilit
ohaa [14]

Answer:

0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 21.1, \sigma = 5.1, n = 50, s = \frac{5.1}{\sqrt{50}} = 0.7212

What is the probability that the mean IQ score of 50 randomly selected people will be more than 23

This is 1 subtracted by the pvalue of Z when X = 23. So

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

By the Central Limit Theorem

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

Z = \frac{23 - 21.1}{0.7212}

Z = 2.63

Z = 2.63 has a pvalue of 0.9957

1 - 0.9957 = 0.0043

0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23

5 0
3 years ago
Pls help me it would be nice !!!
notsponge [240]

Answer:

y=−3x−10

That is the equation in slope intercept form.

5 0
3 years ago
10,000 round to the nearest ten thousand
wlad13 [49]

Answer:

i think it would be 10,000

I hope it helped!

5 0
3 years ago
Read 2 more answers
Can anyone tell me correctly​
BaLLatris [955]

\large\underline\red{\sf \implies Solution :- }

1) A figure formed by line segments only is called a <u>polygon</u><u> </u> .

2) Perimeter of a regular polygon is <u>Number </u><u>of </u><u>sides </u><u>×</u><u> </u><u>Measure </u><u>of </u><u>each </u><u>side </u><u>.</u>

3) Perimeter of a irregular polygon is <u>sum </u><u>of </u><u>all </u><u>sides </u><u>.</u>

4) Two circles with same centre but different radii is called <u>Concentric </u><u>circles</u><u>.</u>

5) Ratio of circumference of circle to its diameter is <u>pie </u> and is named by Greek letter <u>π </u>.

6) Distance around the circle is called<u> </u><u>circumference</u><u>.</u>

7) A chord of the circle contains exactly <u>two points</u> on a circle.

8) 1 hectare = <u>1</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u> </u><u>m²</u>

<h3><u>I </u><u>hope</u><u> </u><u>it </u><u>helped </u><u>ツ</u></h3>
4 0
3 years ago
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