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2 years ago

Help pls help pls help pls help pls help pls

Mathematics

2 answers:

LiRa [457]2 years ago

8 0

Answer:

Domain: -2 < x ≤ 3

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:

(-2, 3] or -2 < x ≤ 3

ExtremeBDS [4]2 years ago

4 0

Answer:

ramen is the true answer to lifes problems

Step-by-step explanation:

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Find the mass of the triangle with vertices (1; 0; 0), (0; 2; 0), (0; 1; 1) if the density function is given by (x; y; z)

Luda [366]

Answer:

$=\frac{17}{3}$

Step-by-step explanation:

Density of a function is $\rho(x,y)=x^{2} +y^{2}$

I have drawn the right angle triangle for visualization

equation for the line passing through (1,0) and (0,4) is

$\frac{y}{4} =\frac{x-1}{-1}$

$y=4-4x$

= $\int_{0}^1\int_{0}^{4-4x} (x^{2}+y^{2})dydx$

= $\int_{0}^{1}(x^{2}+\frac{y^{3} }{3})dx$

= $\int_{0}^{1}(x^{2}(4-4x)+\frac{1}{3}(4-4x)^{3} )dx$

= $\int_{0}^{1}(\frac{-76}{3}x^{3} +68x^{2}-64x^{}+\frac{64}{3} )dx$

= $=(\frac{-76}{3} \frac{x^{4} }{4})+\frac{68}{3}x^{3}-32x^{2}+\frac{64}{3}x^{})$

$=\frac{17}{3}$

3 0

3 years ago

For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le

sp2606 [1]

<h3>The measurement of the central angle is 135 degrees</h3>

Solution:

The length of arc when angle given in degrees is given as:

$Arc\ length = \frac{ \theta }{360} \times 2 \pi r$

Where,

r is the radius

$\theta$ is the central angle in degrees

From given,

$r = 6\ feet\\\\Arc\ length = \frac{ 9 \pi }{2}\ feet$

Substituting the values we get,

$\frac{9 \pi }{2} = \frac{ \theta }{ 360} \times 2 \times \pi \times 6\\\\9 \times 360= \theta \times 24\\\\\theta = 135$

Thus the measurement of the central angle is 135 degrees

4 0

2 years ago

Can someone help me solve for b? 2(b + 3) = 12

Akimi4 [234]

2b+3=12
-3 -3
2b=9
B=4.5

7 0

3 years ago

Read 2 more answers

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$