How much is 1 + 1 √2`∞↓1∫∑∑

5a+4b=65 elimination substitute and check

SIZIF [17.4K]

Answer:

a=13 - 4b/5

b=65/4-5a/4

Step-by-step explanation:

4 0

3 years ago

I am organized an ocean cleanup and we collected a total of 25 pounds of garbage 16 pounds of the garbage consisted of plastic w

Makovka662 [10]

Answer: 64% of garbage was plastic over there when he was collected garbage.

Step-by-step explanation:

Since we have given that

Total amount of garbage collected by them = 25 pounds

Total amount of garbage which consisted of plastic = 16 pounds

Percent of the garbage was garbage is given by

$\frac{ plastic}{total}\times 100$

$=\frac{16}{25}\times 100\\\\=16\times 4\\\\=64$

Hence, 64% of garbage was plastic over there when he was collected garbage.

6 0

3 years ago

Read 2 more answers

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

3 years ago

It says circle each fraction that is equivalent to one half so witch one 3/6 4/9 or 4/8 5/10

11Alexandr11 [23.1K]

Answer:

jjnkm

Step-by-step explanation:

6 0

3 years ago

4. The results of testing a new drug on 1,000 people with a certain disease found that 510 of them improved when they used the d

Shalnov [3]

Answer:

It would not be reasonable to say that more than half of the people with this disease would improve if they used the new drug

Step-by-step explanation:

Data provided in the question:

Sample size, n = 1000

Number of people improved when they used the drug = 510

Thus,

Probability that Number of people improved when they used the drug

= 510 ÷ 1000

= 0.510

Now,

margin of error, E = $2\times\sqrt{\frac{p(1-p)}{n}}$

= $2\times\sqrt{\frac{0.510(1-0.510)}{1000}}$

= 0.032 = 3.2%

Therefore,

Portion of 0.510 is likely to lie in the 3.2% of the actual value of population

And,

The lower portion can be as small as p - E

= 0.510 - 0.032

= 0.478 i.e 47.8% of the sample

Hence,

It would not be reasonable to say that more than half of the people with this disease would improve if they used the new drug

4 0

3 years ago