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aksik [14]
3 years ago
14

Simplify the expression: 3(4d + 1) ​

Mathematics
2 answers:
Alexeev081 [22]3 years ago
3 0

Answer:

12d+3

Step-by-step explanation: multiply 3x4d and 3x1 and you get 12d+3

Alex Ar [27]3 years ago
3 0

Answer:

12d + 3

you have to multiply 3 times both of the numbers

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hram777 [196]
To analyze [insert whatever box and whisker plot does] and compare.
7 0
3 years ago
Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that c
alukav5142 [94]

Answer:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

5 0
3 years ago
Find the equation of the line that is perpendicular to LaTeX: y=-\frac{1}{5}x+3y = − 1 5 x + 3 and goes through the point (4, -3
Elenna [48]

Answer:

y=5x-23

Step-by-step explanation:

step 1

Find the slope of the line that is perpendicular to the given line

we have

y=-\frac{1}{5}x+3 -----> given line

The slope of the given line is

m=-\frac{1}{5}

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

The slope of the line that is perpendicular to the given line is

m=5

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=5\\point\ (4,-3)

substitute

-3=5(4)+b

solve for b

b=-23

therefore

y=5x-23

6 0
3 years ago
if shaun plays 1 game with mike and then 1 game with tim, what is the probability that shaun loses both games
Nastasia [14]

Answers did you ever get this awnser??

Step-by-step explanation:

4 0
3 years ago
If
Svetach [21]
To solve this problem, there is a very simple trick, once you see it. The first step is to subtract the second equation from the first equation. This gives:

6x + 6y = 60

Multiply by 5/3 to get 10x + 10y

10x + 10y = 60 * 5/3

10x + 10y = 100
7 0
3 years ago
Read 2 more answers
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