Answer:
20
Step-by-step explanation:
x+2x+x+10=90
4x=80
x=20
give brainliest please
Answer:
Marcelle will use 4 plates of the 25 lb & 2 plates of the 5 lb to fabricate the 110 lb weight lifting bar.
Step-by-step explanation:
There are 6 plates which consist of 25 lb plates and 5 lb plates.
We need to figure out how many of each one compose 110 lb.
Thus, 25 x 4 = 100... 4 plates of 25 pounds.
5 x 2 = 10 ... 2 plates of 5 lbs.
100+10= 110, which is our goal! And a total of 6 plates were used!
All things put into great consideration, Marcelle will use 4 plates of the 25 lb & 2 plates of the 5 lb to fabricate the 110 lb weight lifting bar.
I hope this helped!
~ Penny
The scientific notation is a method that scientists use
to easily handle very large numbers or very small numbers. As an example,
instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9
in scientific notation. The number of places the decimal point got moved
becomes the exponent of the number 10. When the movement is from left to right,
the exponent is negative (for very small numbers). When it is right to left,
the exponent is positive (for very large numbers).
Therefore writing estimated measurements in scientific
notation:
length of a grain of salt : 0.0002 centimeters = 2 x 10-4
centimeters
width of a key ring : 0.02 centimeters = 2 x 10-2
centimeters
Complete Question:
A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answer:
A) 0.61351
Step-by-step explanation:
Sample proportion = 0.4
Sample population = 200
A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion
Statistically:
P(0.4-0.03<p<0.4+0.03)
P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200
P[-0.03/0.0346410 < z < 0.03/0.0346410
P(−0.866025 < z < 0.866025)
P(z < - 0.8660) - P(z < 0.8660)
0.80675 - 0.19325
= 0.61351
B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion
Statistically:
P(0.4-0.08<p<0.4+0.08)
P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200
P[-0.08/0.0346410 < z < 0.08/0.0346410
P(−2.3094 < z < 2.3094)
P(z < -2.3094 ) - P(z < 2.3094)
0.98954 - 0.010461
= 0.97908
3√5 / 4√5 The √5's cancel out
The answer is 3/4
This is because √5 is in both the denominator and the numerator, and so you can pull them both out.
