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2 years ago

Find the point-slope form through: (4, 3), parallel to y =7/6x + 1

Mathematics

1 answer:

pickupchik [31]2 years ago

6 0

Answer: (y - 3) = 7/6 (x - 4)

Step-by-step explanation:

The formula for point slope form is (y-y₁) = m(x-x₁)

Parallel lines will always have the same slope, so the slope of the new line is still 7/6.

The line goes through point (4, 3),

so x₁ = 4, and y₁ = 3 as points are written as (x, y).

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The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that

kaheart [24]

Answer:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

$P(A \cup B)$

And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

6 0

3 years ago

What is the area of the shaded region <br> 1cm is in the middle

Archy [21]

Answer:

Area of the shaded region= $128.86\,cm^2$

Step-by-step explanation:

Area of the shaded region=Area of the rectangle-Area of the circle

Area of rectangle= $Length\times Width$

$Length=11\,cm\\Width=12\,cm$

Area is:

$=11\times 12\\\\=132\,cm^2$

Area of the circle = $\pi \times r^2$

$r=1\,cm$

As, $\pi =\dfrac{22}{7} =3.14$

Area of the Circle is :

$=3.14\times 1 \times 1\\\\=3.14\times 1\\\\=3.14\,cm^2$

Area of the Shaded region:

Area of the shaded region $=132-3.14\\\\=128.86\,cm^2$

5 0

3 years ago

-. Which statement is true?

STatiana [176]

Answer:

All rectangles are quadrilaterals

Step-by-step explanation:

8 0

3 years ago

What if the solution of 5/2x-7=3/4x+14?

chubhunter [2.5K]

Answer:

x=12 and if you’re looking for a fraction x= -28/3

Step-by-step explanation:

6 0

3 years ago

William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17% What is the total price William pays for

Valentin [98]

$11.7 is the total price.
To solve. do 10 + (.17*10).

6 0

3 years ago