300 - 297 = 3

294 - 291 = 3

288 - 285 = 3

So, that is a sequence of sums of number 3: 3 + 3 + 3 + .... + 3

How may times will the number 3 be added?

Note that 300 is reduced in 6 units each time => 300 / 6 = 50 => 3 will be added 50 times.

=> 50 * 3 = 150

Answer: 150

7 0

2 years ago

A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng

AveGali [126]

Let
x--------> the rectangle's length
y-------> the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm²
256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x²-48x
4x²-48x-256=0

using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
the rectangle's length is 16 cm

8 0

2 years ago

The olsen agricultural company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pound

Marina86 [1]

Normalcdf(78, 82, 80, 8/√(64)) = 0.9544997361

The standard deviation of the sample mean will be 8/√64 = 1, so you are asking for the probability that the value will be within 2 standard deviations of the mean. This is a number most statistics students are asked to memorize.

Your probability is about 0.9545.

4 0

2 years ago

Marissa bought 60 horns for her New Year’s Eve party for $83.40.

katovenus [111]

Answer:

We don't have the statements but I can tell you the following info:

Step-by-step explanation:

83.4/60= $1.39 for each horn

18*1.39= $25.02 for the 18 additional horns.

$83.40+25.02= $108.42 for the total 78 horns

3 0

2 years ago