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3 years ago

Convert 2/5 to a percent

Mathematics

2 answers:

Rudik [331]3 years ago

7 0

2/5=40%

You can think of it like
2/5=40/100=40%

Ronch [10]3 years ago

3 0

2/5 to a percent would be 40%.

The work is attached in the image provided.

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construct a 90% confidence interval of the population proportion using the giver information x=74 n=150

FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

X = 74

n = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{74}{150}=0.493$

Compute the critical value of z for 90% confidence level as follows:

$z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

Compute the 90% confidence interval of the population proportion as follows:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)$

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0

3 years ago

Tom bought 7 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now

SVETLANKA909090 [29]

25x2=50-7=43
Tom started out with 43 baseball trading cards

6 0

3 years ago

Determine all critical points the the function:

romanna [79]

$\bf y=x^2-32\sqrt{x}\implies \cfrac{dy}{dx}=2x-32\cdot \cfrac{1}{2}x^{-\frac{1}{2}}\implies \cfrac{dy}{dx}=2x-\cfrac{32}{2\sqrt{x}}
\\\\\\
\cfrac{dy}{dx}=2x-\cfrac{16}{\sqrt{x}}\implies \cfrac{dy}{dx}=\cfrac{2\sqrt{x^3}-16}{\sqrt{x}}\\\\
-----------------------------\\\\$

$\bf 0=\cfrac{2\sqrt{x^3}-16}{\sqrt{x}}\implies 0=2\sqrt{x^3}-16\implies 16=2\sqrt{x^3}
\\\\\\
8=\sqrt{x^3}\implies 2^3=\sqrt{x^3}\implies (2^3)^2=x^3\implies (2^6)^{\frac{1}{3}}=x
\\\\\\
2^{\frac{2}{1}}=x\implies \boxed{4=x}\\\\
-----------------------------\\\\
\textit{the other critical point at }\sqrt{x}=0\implies \boxed{x=0}$

7 0

3 years ago

The length of a rectangle is 6 units longer that the width , w.

Ulleksa [173]

No B

lets say W is 5

C is saying 4x5+6 right?

so all 4 side are 5 and plus a random six

W is only equal to 2 sides so C and D are gone

A. 2 x 5 + 6 is saying
2 sides are 5 + 6 and then a missing side

but B is 2 x 5 + 12
B could also say 2 x 5 + 2 x 6
2 sides are 5 and then 6 side are 5

Your answer is B

3 0

4 years ago

3. What is the square root of the following numbers? a) 5 b) 26 c) 86

Svetllana [295]

Answer:

a. 2.2 b. 5.1 if rounded c. 9.3 if rounded

8 0

3 years ago