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3 years ago

Help please!! What is the distance between these points? (-7, 6) and (3, 6)

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

sqrt root (x2-x1)^2 + (y2-y1)^2

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Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 +

anastassius [24]

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

8 0

3 years ago

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand

Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean $\mu_x$ = np = 52 × 0.3085 = 16.042

The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

$Pr ( Y > 20) = P(Z >1 .338)$

From z tables

P(Y > 20) $\simeq$ 0.0903

7 0

3 years ago

Create and solve a 2 step with subtraction and multiplication Also, x = 9

juin [17]

Answer:

x - 4(x - 2) = -37

x - 4x + 8 = -37

-5x = -37 - 8

-5x = -45

x = 9

4 0

3 years ago

Please help don’t get it ASAP

maxonik [38]

Answer:

Option C is correct.

$38 miles$

Step-by-step explanation:

Let x be the distance cover by Michelle

Given:

A circle diameter is 3 miles.

And Michelle biked around the trail 4 times.

We know that

The circumference of a circle.

circumference = $2\pi r$ ----------(1)

where $r=\frac{Diameter}{2}$

$r=\frac{3}{2} \\r=1.5$ miles

Put $\pi =3.14$ and r value in equation 1.

$circumference = 2\times 3.14 1.5$

$circumference = 9.42 mil;es$

The circumference of a circle is 9.42 miles.

And Michelle biked 4 times, that is equal to 4 $\times$ circumference.

$x = 4\times 9.42$

$x = 37.65 miles$ .

That is equal to 38 miles.

Therefore, Michelle biked around 4 trail is 38 miles.

5 0

3 years ago

What is the multiplicative inverse of 3y2?

kolbaska11 [484]

Answer:

A multiplicative inverse is a reciprocal. ... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!

4 0

3 years ago

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