Answer:
The answer is below
Step-by-step explanation:
Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:
Number of times = volume of cube / volume of pyramid
The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in
Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = 125 in³ / 65.1 in³ = 1.92
Answer:ion know
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
Given
Lian has 
and she has twice as many dimes as nickels
Suppose she has 
nickels
So, the number of dimes is 
Nickel is equivalent to 5 cents and dime is equivalent to 10 cent
Therefore she has 8 dimes with her.
Answer:
70° , 70°
Step-by-step explanation:
The 2 angles are corresponding and are congruent, then
23x + 1 = 4 + 22x ( subtract 22x from both sides )
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Then the angles are
23x + 1 = 23(3) + 1 = 69 + 1 = 70°
4 + 22x = 4 + 22(3) = 4 + 66 = 70°
Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion 
is significantly different from a hypothesized value 
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
