Solve using the Quadratic Formula:

3x2−12x−9=0

Answer:

a) 0.8708 = 87.08% probability that x is less than 60

b) 0.9641 = 96.41% probability that x is greater than 16.

c) 0.8349 = 83.49% probability that x is between 16 and 60

d) 0.1292 = 12.92% probability that x is more than 60.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 43, \sigma = 15[/tex]

a. x is less than 60

This is the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 43}{15}[/tex]

[tex]Z = 1.13[/tex]

[tex]Z = 1.13[/tex] has a pvalue of 0.8708

0.8708 = 87.08% probability that x is less than 60

b. x is greater than 16

This is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 43}{15}[/tex]

[tex]Z = -1.8[/tex]

[tex]Z = -1.8[/tex] has a pvalue of 0.0359

1 - 0.0359 = 0.9641

0.9641 = 96.41% probability that x is greater than 16.

c. x is between 16 and 60

This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:

0.8708 - 0.0359 = 0.8349

0.8349 = 83.49% probability that x is between 16 and 60

d. x is more than 60

This is 1 subtracted by the pvalue of Z when X = 60.

So

1 - 0.8708 = 0.1292

0.1292 = 12.92% probability that x is more than 60.

Answer:

A) 77/427

B) 77/420

C) 420/427

Step-by-step explanation:

Sin= Opposite/Hypotenuse

Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.

Cos= Adjacent/Hypotenuse

Tan= Opposite/Adjacent

Answer:

part a: 420/427

part b: 420/77

part c: 77/427

It might be 2 not 100 percent sure

Answer:

isosceles (based on sides) and right triangle (based on angles)

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same distance (it is in cm.). This is also a right triangle because at point B the two lines are perpendicular (using their slopes).

Step-by-step explanation:

[tex]y = {2}^{x} [/tex]

This is a basic exponential function.

[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]

The (-x) exponent makes a reflection in the y-axis.

Answer: Y<W<Z? Im not exactly sure but it looks right to me. Correct me if im wrong though.

Step-by-step explanation:

Answer:

W<Y<Z

Step-by-step explanation:

the side WZ is longer than side ZY, so the angle W is smaller.

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

y = 51/4

2. y = ¼x + 12

x = 4

y = ¼(4) + 12

y = 1 + 12

y = 13

From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.

Answer:

[tex]\mathrm{A. \:756\:in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.

Therefore the volume of this prism is:

[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].

Answer:

ryan

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer: the volcano began to erupt and emit dark clouds of ash into the sky

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

[tex]-3\sqrt{2}*\sqrt{2} = -3*2 = -6\\[/tex]

Answer:

The answer is <GBH

Step-by-step explanation:

ITS because its relation is vertically opposite angle

Answer:

elevator travel 4.5 feet per second

Answer: A

Step-by-step explanation:

the answer is A

Answer:

Rs.18

Explanation:

[tex]T= 6 months = 1/2 year[/tex]

[tex]R=6[/tex]%

[tex]TD=\frac{BD(100)}{100+TR} = \frac{18.54(100)}{100+((\frac{1}{2}) 6)}=Rs.18[/tex]

Answer:

14 yards

Step-by-step explanation:

length of basketball court=

7 inches

(times by 2.8) 2.5 inches-5 yards( times by 2.8)

7 inches=14

i hope i helped:)

Answer:

2(c+1)

=

2c+2

Step-by-step explanation:

Answer:

THX FOR THE POINT NOOB

Step-by-step explanation:

Answer: CHAA

Step-by-step explanation:

Answer:

125  56 − x 7

Step-by-step explanation:

1/2-3/8/1/3+4/7(5- 1/4 x)

Answer: Top right corner

This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.

The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.

The other two graphs only have two roots, and not three, so we rule them out as well.

Step-by-step explanation:

If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)

The graph must pass the x-axis at the points -1, 0, 4.

Only the top-right graph satisfies our conditions.

Answer:

(x, y ) = ( - 3 , 14 )

Step-by-step explanation:

I hope this helps you. Best of luck.

Answer:

each van can transport 15 students

Step-by-step explanation:

186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.

Slope= rise/run

=y2-y1/x2-x1

3-1/8-7

2/1

Slope=2

Answer:

2

Step-by-step explanation:

- use the equation:

m=y^2-y^1/x^2-x^1

- pick any two points:

m= -1+3/6-5

- solve:

m= 2/1

FINAL ANSWER:

2

Answer:

The price in 2010 was $7. every year the price went up $0.75 slope should be 0.75x

Step-by-step explanation:

Answer:

lol i had the same question

Step-by-step explanation: