There are 9,000,000 seven-digit positive integers.
Explanation:
For the first digit, we have 9 choices: 1, 2, 3, 4, 5, 6, 7, 8, 9.
For each remaining digit, we have 10 choices: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Each choice is independent of the others. So, the number of total 7-digit positive integers is the product of all the numbers of choices for each digit.
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Since 0 cannot be put as the first digit, there are 9 choices for the first digit, and the next 6 digits have 10 choices. So, there are 9 × 10^6 = 9000,000 numbers.
Answer:
16 ft
Step-by-step explanation:
The measure of each side of the cube will be 15 inches.
The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. Volume is defined as the space occupied by an object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid
The cube has all the sides equal means that the length, width, and height of the cube will be the same. Let's suppose the length, width, and height of the cube is a.
The volume of a cube will be given by the formula:-
Volume = side³ = a³
a³ = 3375
a = ∛3375
a = ∛( 15 x 15 x 15 )
a = 15 cubic inches.
Therefore, the measure of each side of the cube will be 15 inches.
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Answer:
l=w=h=15
Step-by-step explanation:
Volume of a cube= l*w*h
where l=w=h
15*15*15=3375
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Answer:
parethses is expressed of the sign air water land etc
Step-by-step explanation:
Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
angle 1 + 2*angle 1 + 6 = 180
3*angle 1 = 174
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
angle 2 + 58 = 180
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
Answer:
a. ii. and iv.
b. ii.
Step-by-step explanation:
Hello!
The research study involves elderly persons it was divided into two considering those who suffered depression and those that didn't suffer depression, then the proportion of persons that suffered dementia was counted.
a. Choose the relevant population and the sample.
i. The sample consists of all elderly people.
ii. The sample consists of 949 elderly people.
iii. The population is all younger and elderly people.
iv. The population is all elderly people.
Note: When you determine a population from a text, you NEVER mention a number, even if the population is finite and the total of individuals in it is known. When you determine a sample it always comes with its size.
b. Do the numbers 22% and 17% represent the population parameters or the sample statistics?
i. Population parameters
ii.Sample Statistics
The proportions were determined after taking the sample, as said in the text, first the sample was taken, then the researchers determined from this sample wich elders suffered from depression and which didn't suffer from depression and these two groups, the number of people with dementia was determined. Meaning these are sample values, not population parameters.
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Answer:
a) Critical value = -1.285
b) We should reject null hypothesis that the mean equals 0.32
Step-by-step explanation:
Given that the statistic of z equals negative 2.40 is obtained when testing the claim that less than 0.32
i.e. for hypotheses
(one tailed test at 10% significance level)
Z critical value for 90% one tailed = -1.285
Since our test statistic is less than -1.285 we reject null hypothesis
a) Critical value = -1.285
b) We should reject null hypothesis that the mean equals 0.32