Answer:
Prime number are a multiples of 8 because there are multiples of 8
Step-by-step explanation:
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Answer:1
Step-by-step explanation:between 0&8
It is only 1 that can divide itself
Answer: Z = 107 as the opposite angles are equal. Then to find x, z is on the same line as (10x+3) so,
107+10x+3=180°
10x+3= 180-107
10x+3= 73°
now,
10x= 73-3 = 70
x= 70/10
x= 7
Hence z= 107 and x=7
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Answer:
Step-by-step explanation:
First we can solve for x,
107 and 10x+3 is straight line which is 180 so make an equation:
10(7) + 3 = 73
{CHECK: 107 + 10(7) + 3 = 180}
Now, let's find the value of z
As we have the value of x it will be easy to find z by forming an equation:
{CHECK: 107 + 73 = 180}
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B. 15 square yards
C. 30 square yards
D. 54 square yards
Answer:
The answer is A) 6 square yards.
number of people
6
3
30
A
B
40
C
28
What number goes in cell A?
Answer:
Cell A = 15
Step-by-step explanation:
If 6 spring rolls will serve 3 people, let x be the number of people 30 spring rolls will serve.
Thus,
6 spring rolls = 3 people
30 spring rolls = x
Cross multiply
6*x = 3*30
6x = 90
Divide both sides by 6
6x/6 = 90/6
x = 15
30 spring rolls will serve 15 people.
The question is asking for a proportion based on the initial data. The correct number for cell A is 15, calculated by dividing the total number of spring rolls by the ratio of spring rolls per person.
This question deals with proportions. Proportions look at the relationship between two pairs of numbers. If 6 spring rolls can serve 3 people, that means each person will get 2 spring rolls. This forms a ratio of 2:1, meaning each person gets 2 spring rolls.
Applying this ratio to 30 spring rolls, we would do the following calculation: 30 spring rolls / 2 spring rolls per person = 15 people. Therefore, cell A in the table should be filled with the number 15.
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Answer:
Comparing the p value with the significance assumed we see that so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the difference between the two groups is NOT significantly different at 1% of significance.
Step-by-step explanation:
Data given
represent the mean for sample January
represent the mean for sample July
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 2
sample size for the group 2
Significance level provided
t would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
And the degrees of freedom are given by
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
With the info given we can replace in formula (1) like this:
P value
Since is a bilateral test the p value would be:
Comparing the p value with the significance assumed we see that so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the difference between the two groups is NOT significantly different at 1% of significance.
B. 10x – 15
C. 10x - 8
D. 7x-8
Let f be a function given by f(x)=-4x-1.
Find and simplify f(x+3)
Answer:
f=-
Step-by-step explanation:
Divide each term in f(x+3)=−4x−1 by x+3 and simplify.
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