Five less than a number is greater than 21<br>five less than a number is greater than 21

stiks02 [169]

|k - 2| * |3k| - 1
Substitute all of the "k" variables for -4
|-4 - 2| * |3(-4)| - 1
Multiply 3 by -4
|-4 - 2| * |-12| -1
Subtract 2 from -4
|-6| * |-12| - 1
Use the absolute value method
6 * 12 - 1
Combine like terms
Final Answer: 71

5 0

4 years ago

What horsepower is required to lift an 8,000 pound aircraft six feet in two minutes?

Dafna11 [192]

Answer:

The horsepower required is 235440 watt.

Step-by-step explanation:

To find : What horsepower is required to lift an 8,000 pound aircraft six feet in two minutes?

Solution :

The horsepower formula is given by,

$W=\frac{mgh}{t}$

Where, W is the horsepower

m is the mass m=8000 pound

g is the gravitational constant g=9.81

t is the time t= 2 minutes

h is the height h=6 feet

Substitute all values in the formula,

$W=\frac{8000\times 9.81\times 6}{2}$

$W=\frac{470880}{2}$

$W=235440$

Therefore, The horsepower required is 235440 watt.

6 0

3 years ago

Presley bought 3 1/2 yards of fabric for $15.25 how much did Presley pay per foot of fabric round to the nearest cent

Deffense [45]

Your answer would be about $1.45.

4 0

3 years ago

MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Marina CMI [18]

Question 2. :

8^2 = 64 and 9^2 = 81, therefore the square root of 65 falls between these two values, 8 and 9, 64<65<81

Question 3. :

13^2 = 169 and 14^2 = 196, the correct answer is square root of 175, because 169<175<196

Hope this helps, you only need to know the squared values and square roots.

8 0

4 years ago

Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actu

nikitadnepr [17]

Answer:

a. $f(x)= 1.25\ \ \ \ , \ for \ 31.8\leq x\leq 32.6$

$b. \ P(X=32)=0\\P(X>32.3)=0.375\\P(X$

c. No. Delicious Candy isn't violating any government regulations

Step-by-step explanation:

a.

-A uniform distribution is given by the formula:

$f(x)=\frac{1}{b-a} \ \ \ for \ \ \ a\leq x\leq b$

#we substitute our values in the formula above to determine the distribution:

$f(x)=\frac{1}{b-a}\\\\=\frac{1}{32.6-31.8}\\\\=1.25\\\\\therefore f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6$

Hence, the probability density function for the box's weight is given as: $f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6$

b. The probability of the box's weight being exactly 32 ounces is obtained by integrating f(x) over a=b=32:

$f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32}_{32} {1.25} \, dx \\\\\\=[1.25x]\limits^{32}_{32}\\\\\\=1.25[32.0-32.0]\\\\\\=0$

Hence, the probability that a box weighs exactly 32 ounces is 0.000

ii.The probability that a box weighs more than 32.3 is obtained by integrating f(x) over the limits 32.3 to 32.6 :

$f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32.6}_{32.3} {1.25} \, dx \\\\\\=[1.25x]\limits^{32.6}_{32.3}\\\\\\=1.25[32.6-32.3]\\\\\\=0.375$

Hence, the probability that a box weighs more than 32.3 ounces is 0.3750

iii. The probability that a box weighs less than 31.8 is 0.000 since the weight limits are $31.8\leq x\leq 32.6$ .

-Any value above or below these limits have a probability of 0.000

c. Let 32 ounces be the government's stated weight.

$1.25(32.6-32)=0.75\\\\0.75>0.60$

Hence, Delicious Candy isn't violating any government's regulations.

8 0

3 years ago

Five less than a number is greater than 21five less than a number is greater than 21​

Five less than a number is greater than 21five less than a number is greater than 21