All categories

3 years ago

PLEASE HELP FOR #2abc!!

Mathematics

1 answer:

N76 [4]3 years ago

3 0

Answer:

a) 2

b) 1

c) y =mx+b

Step-by-step explanation:

Slope = rise/run = Δy/Δx = 2/1 =2 [Δ means difference between 2 values]

To find slope we need to find by how many difference do the x and y increases or decreases. Here y increases by 2 and x increases by 1.

The constant just another way of asking y-intercept.

The slope-intercept form y=mx+b. [m=slope, b= y-intercept]

We will choose point (1,3) to input into the equation. You can use any point it would give the same answer.

3 = 2×1 +b

3 = 2 +b

b = 3-2

b = 1

You might be interested in

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 , 69.312)

a) be the same

Step-by-step explanation:

Step (i):-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (ii) :-

Given The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (iii):-

95 percent confidence interval for μ is determined by

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )$

$(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )$

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

Conclusion:-

it become same as (61.08, 68.92)

4 0

4 years ago

6+(-3)= answer question plz

34kurt

Answer:

-3

Step-by-step explanation: Because it is just like saying 6-3

6 0

3 years ago

Read 2 more answers

Which of the following is the correct factorization of the polynomial below? 2p2 - 11pq + 2407

siniylev [52]

Answer:

p(2p-11q+24p^6)

Step-by-step explanation:

8 0

3 years ago

If 5^2x+1 = 96, Then find x

Mkey [24]

Jkeoeodiekqnsnabbdbw

6 0

3 years ago

Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

6 0

3 years ago