Answer:
The estimated value is 0.01.
Step-by-step explanation:
Given : 17 divided by 1,569.
To find : Use compatible number to find two estimates ?
Solution :
Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally.
Estimation is to approximate a calculation.
Estimating the number 17 is 20.
Estimating the number 1569 is 2000.
Substituting the values,
20 divided by 2000,
Therefore, The estimated value is 0.01.
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = =
= - 1 , thus
y = - x ← equation of line
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
Answer:
Step-by-step explanation:
As the numbers are only between 1 and 30
Total number of possible combinations = 30×30×30 = 27000
If there are 100 attempts then
∴ Probability someone can guess the correct combination given 100 attempts is