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Komok [63]
2 years ago
10

WILL GIVE 5 STARS

Mathematics
1 answer:
k0ka [10]2 years ago
3 0

Answer:

Step-by-step explanation:

to know:

-to be paralel the lines have to have the same slope

-to be perpendicular the slope has to be negative invers of thhe other

-to be neither has to be none of the above two

equation to compare to is

y=mx+b where m is the slope

if your equation does not have this form make it have this form

2y=3x+1 so divide by 2

y=\frac{3}{2} x+1 so here the slope is \frac{3}{2}

4x+6y=14 so subtract 4x and then divide by 6 to isolate y

6y= -4x+14

y=\frac{-4}{6}  x + \frac{14}{6}  symplify

y=\frac{-2}{3} x + \frac{7}{3}  so the slope here is \frac{-2}{3}

So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular

and so on...

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Solve the inequality (picture)
drek231 [11]

Answer:

3rd choice

Step-by-step explanation:

Add 6 to both sides to get 5x >= 15, or x >=3. This is the 3rd choice.

8 0
3 years ago
The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of bl
erik [133]

Answer:

The 99th tower contains 9900 blocks.

Step-by-step explanation:

From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:

n + n²

Now let us use the diagram to validate the idea.

Tower 1:

n = 1

Number of blocks = 1 + 1² = 2

Tower 2:

Number of blocks = 2 + 2² = 6

Tower 3:

Number of blocks = 3 + 3² = 12

Using same idea, we can obtain the number of blocks in the 99th tower as follow:

Tower 99:

n = 99

Number of blocks = 99 + 99² = 9900

Therefore, the 99th tower contains 9900 blocks.

7 0
3 years ago
A number, y, is five times another number, x. The sum of the two numbers is 42. Write the system of equations.
vovikov84 [41]

Answer:

5x+x=42

6x=42

x=7

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Is 2 greater or less than or equal to -5?
Marina CMI [18]
2 is greater then -5.


2 is a positive number unlike -5 it is a negative which is less then 2.
5 0
3 years ago
Read 2 more answers
The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit
Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b) We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

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.

In this question:

Mean \mu, standard deviation \sigma

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

8 0
3 years ago
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