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3 years ago

A

Mathematics

1 answer:

dsp733 years ago

4 0

Answer:

We are given the path, y=-3x-6

The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.

Thus, the slope of the given line is -3.

As, we have that the incipient path is perpendicular to the given path.

And, we ken that, 'Product of slopes of perpendicular lines is -1'.

Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,

b= 3+1

b= 4.

Step-by-step explanation:

You might be interested in

The temperature at 7 a.m. was -11°C. The temperature increased by 9°C during the

LiRa [457]

The answer is -6 degrees Celsius

6 0

3 years ago

Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min

suter [353]

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

3 0

3 years ago

Peter takes an 8-inch by 3-inch sheet of paper and cuts from one corner of the paper to the diagonally opposite corner. now pete

tekilochka [14]

First get the length of the side the was cut (Hypotenuse).

We can use Pythagorean theorem: a^2+b^2 = c^2
a = 8, b = 3 = 1.5, c = ?

plug into forumla
8^2 + 3^2 = 73

a=8,
b=1.5,
c = sqrt( 73) or 8.5

Now add all sides together to get perimeter...
8+3+8.5 = 19.5

The perimeter of each sheet is 19.5in.

3 0

3 years ago

Use the decimals 2.47, 9.57, and 7.1 to write two different addition facts and two different subtraction facts

kaheart [24]

2.47+7.1=9.57
7.1+2.47=9.57
9.57-2.47=7.1
9.57-7.1=2.47

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:

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