1) Rational because the square root of 16 is 4 and 4 times 4/7 is a rational number (16/7)
2) Irrational because square root of 684 is irrational C
3) The square root of a is irrational so the answer is irrational. The square root of c is rational so the answer is rational.
4) Jacob is wrong because the square root of 5/7 is irrational so the answer to the problem is irrational.
3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then
2x + x = 2(4) + (4) = 8 + 4 =12
Given:
p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.
E = 1.5% = 0.015, margin of error
95% confidence interval.
The standard error is
Es = \sqrt{ \frac{p(1-p)}{n} }
where
n = the sample size.
The margin of error is
E=z^{*}E_{s}
where
z* = 1.96 at the 95% confidence level.
Because the margin of error is given, there is no need to calculate it.
The 95% confidence interval is
p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)
Answer:
The 95% confidence interval is between 6.1% and 9.1%.
Answer:
Step-by-step explanation:
From the table you can see that
- 45 customers own cat and dog;
- 78 own only cat, then 78+45=123 customers own cat;
- 125 own only dog, then 125+45=170 customers own dog;
- 52 own neither cat, nor dog;
- 78+45+125+52=300 customers in total;
- 300-123=177 customers do not own cat;
- 300-170=130 customers do not own dog.
Two-way table is
A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented the following equation:
y = kx
<u>Where:</u>
- y and x are the variables.
- k represents the constant of proportionality.
Since the recipe ingredients remain in a constant ratio, we have:
k = y/x
For table 1, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 4/3.
For table 2, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 8/3.
For table 3, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 5/3.
For table 4, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 6/3 = 2.
In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.
Read more on proportionality here: brainly.com/question/12866878
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