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3 years ago

Identify and equation in point slope form for the line perpendicular to y= -3x+7 that passes through 2,-4

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Perpendicular slope: 1/3

y + 4 = 1/3(x - 2)

y + 4 = 1/3x - 2/3

y + 12/3 = 1/3x - 2/3

y = 1/3x - 14/3

You might be interested in

Write 1.96 ...... as a mixed number in simplest form.

BlackZzzverrR [31]

1 24/25

1.96= 196/100
196/100= 49/25

49-25= 24

1 24/25

3 0

3 years ago

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

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".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{R-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

8 0

3 years ago

Read 2 more answers

One half X +13 equals nine

NeTakaya

$\frac{1}{2}$ x+13=9
$\frac{1}{2}$ x=9-13
$\frac{1}{2}$ x=-4
x=-4*2
x=-8
Answer: x=-8

5 0

4 years ago

Read 2 more answers

In a jar of coins, the ratio of nickels to dimes is 2:7. If the jar contains 350 nickels, how many dimes are there? A) 175 B) 35

Dvinal [7]

No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)

3 0

4 years ago

Read 2 more answers

2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the

ki77a [65]

Answer:

$15$ months