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Kobotan [32]
3 years ago
5

Is the number below rational or irrational? Square root of V16

Mathematics
1 answer:
REY [17]3 years ago
4 0
Rational
i have to type more to post this
You might be interested in
Which of the following lines is perpendicular to the line Y equals 3X -4?
gizmo_the_mogwai [7]

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular line are opposite and reciprocal.

So I flip 3x to 1/3 and change both signs. negative to positive and positive to negative.

3 0
3 years ago
You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv
pishuonlain [190]

Answer: $7800 was invested at 9%

$5900 was invested at 3%

Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

0.09x + 0.03y = 879- - - - - - - - - 1

This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that

0.1x + 0.01y = 839 - - - - - - - - - -2

Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes

0.009x + 0.003y = 87.9

0.009x + 0.0009y = 75.51

Subtracting, it becomes

0.0021y = 12.39

y = 12.39/0.0021

y = 5900

Substituting y = 5900 into equation 1, it becomes

0.09x + 0.03 × 5900 = 879

0.09x + 177 = 879

0.09x = 879 - 177

0.09x = 702

x = 702/0.09

x = 7800

4 0
3 years ago
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
Zigmanuir [339]

Answer: (20.0\%,24.0\%)

Step-by-step explanation:

Given, A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

Here , 1,627 adults are determining the sample.

Thus, sample size : n = 1627

Also, the sample proportion of adults felt fully engaged with their mortgage provider are \hat{p}=22\%=0.22

for 95% confidence level , critical z-value =1.96

Then , the 95% confidence interval would be :-

\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Substituting values , we get

0.22\pm 1.96(\sqrt{\dfrac{0.22(1-0.22)}{1627}})\\\\=0.22\pm 1.96\sqrt{\dfrac{0.22\times0.78}{1627}}\\\\\approx0.22\pm0.0201\\\\=(0.22-0.0201,\ 0.22+0.0201)\\\\=(0.1999,\ 0.2401)\approx(20.0\%,24.0\%)

Hence, the required 95% confidence interval using only 1 decimal : (20.0\%,24.0\%) .

4 0
3 years ago
The sum of twice a number and 13 is 75
sveta [45]

Sum means add. Then we get twice. This means to multiply by 2. Twice a number means we have 2x. And is what we need to add to that 2x, so it is 2x + 13. Is means equals, so answer is 2x + 13 = 75.

7 0
4 years ago
Evaluate the expression
malfutka [58]

Answer:

7/12 or 0.583333333333...

Step-by-step explanation:

calculator

5 0
3 years ago
Read 2 more answers
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