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3 years ago

Come up with a rule for adding integers.

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

Answer:

The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Step-by-step explanation:

Marrrta [24]3 years ago

7 0

Answer:

Adding two even numbers will always result in an even number. Adding two odd numbers will always result in an even number. Adding one even and one odd number will always result in an odd number.

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Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da

fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : $\mu=\ 16$

Standard deviation : $\sigma= 1.5$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 13

$z=\dfrac{13-16}{1.5}=-2$

For x = 19

$z=\dfrac{19-16}{1.5}=2$

The p-value = $P(-2$

$0.9772498-0.0227501=0.9544997\approx0.9545$

In percent, $0.9545\times100=95.45\%$

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0

3 years ago

Which is equal to (2x − 3y + 5z) − (−4x − y + 8z)?

Fittoniya [83]

(2x - 3y + 5z) - (-4x - y + 8z)
= 2x - 3y + 5z + 4x + y - 8z
= 6x - 2y - 3z

In short, Your Answer would be Option D

Hope this helps!

8 0

3 years ago

Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

8 0

3 years ago

Can someone please help!! I will give all stars

Verizon [17]

Well we know that sin(angle) = opposite/hypotenuse. using the angle of 38 degrees we see that the opposite is 24 and the hypotenuse is x. So we fill in equation:
sin (38) = 24/x
x *sin (38) = 24
x = 24/ sin (38)
x = 38.98
x = 39.0

8 0

3 years ago

Whats the answers guys

aivan3 [116]

How am i supposed to draw it ??

3 0

3 years ago

Read 2 more answers