What steps can you use to solve the inequality4-5x>-21 and what is the solution

Select the correct answer.

Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base of the prism

h: It is the height

$A_ {b} = w * l$

Where:

w: is the width

l: is the length

According to the data of the statement we have:

$w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3$

Substituting the data we have:

$A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\$

We choose the positive value: $h = 8$

So the height is $8 \ in$

Answer:

$8 \ in$

6 0

3 years ago

The mean preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t

astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)= $\frac{ME*\sqrt{N}}{s }$ where

Me is the margin of error from the mean

s is the standard deviation of the population

N is the sample size

a.

z(p)= $\frac{8*\sqrt{30}}{50 }$ ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

b.

z(p)= $\frac{8*\sqrt{50}}{50 }$ ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)= $\frac{8*\sqrt{100}}{50 }$ ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥ $(\frac{z*s}{ME} )^2$ where

N is the sample size

z is the corresponding z-score in 95% probability (1.96)

s is the standard deviation (50)

ME is the margin of error (8)

then N≥ $(\frac{1.96*50}{8} )^2$ ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0

3 years ago

21 points!!

Bogdan [553]

Answer:

See attached pictures.

Step-by-step explanation:

The sine and cosine functions have the forms: $f(x) = C+ A sinBx$ and $f(x) = C + A cosBx$ . A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or $\frac{2\pi}{|B|}$ . C shifts the function up and down.

The sine function always starts and ends on the x-axis.

The cosine function always starts and ends at the y=A.

6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.

The amplitude is 5.

The period is $\frac{2\pi}{|2|}=\pi$

7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).

8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.

Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).

3 0

3 years ago

1. what is the setting of home sick by jean fritz

galben [10]

Answer:

2. Jean a ten-year-old girl in the town of Hankow. Her mother and father work for the YMCA doing relief work. She attends a British school there and hates her teacher, Miss Williams, along with a couple of the other students. In general, Jean feels culturally conflicted, the product of two cultures but not belonging to either one, and she longs for a long-promised trip to America in a couple of years.

Step-by-step explanation:

Homesick is author Jean Fritz's story of her childhood growing up in China in a town called Hankow. While Jean adopts a first-person perspective and includes mostly real-life details from her life, some parts of Homesick are fictionalized in order to add dramatic interest.

8 0

3 years ago

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d

nikitadnepr [17]

Answer:

a) k=2.08 1/hour

b) The exponential growth model can be written as:

$P(t)=Ce^{kt}$