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2 years ago

Order 0.23,19%,1/5 from least to greatest.

Mathematics

1 answer:

malfutka [58]2 years ago

6 0

Answer:19%,1/5,0.23

Step-by-step explanation:

If you convert them to decimals,The numbers are .19 .20 .23

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uranmaximum [27]

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2 years ago

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Which function is represented by the graph? f(x) = −2|x| + 1 f(x) = |x| + 1 f(x) = -2|x + 1| f(x) = |x + 1|

nevsk [136]

The answer is A. F(x)= -2 |x| + 1

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2 years ago

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When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

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

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

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

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

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

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

6 0

2 years ago

Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for i

lara31 [8.8K]

Answer:

The area of the shaded part = 61.46

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: $c^{2} =a^{2} +b^{2} =(2\sqrt{5}) ^{2} + (4\sqrt{5}) ^{2} = 20 + 80 = 100$

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

The total area of 2 semi circles is equal to the area of the circle with radius =5

=> The total area of 2 semi circles is: $\pi$ x $5^{2}$ = 25 $\pi$

The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x $2\sqrt{5\\$ x $4\sqrt{5}$ = 20

=> The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

The area of the square is: $c^{2}$ = $10^{2} =100$

It can be seen that:

The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles

= 100 - 25 $\pi$ + 40 = 61.46

6 0

2 years ago

Which equation is equivalent to

Sonja [21]

Answer:(4x2+9)(4x2-9)=0

Step-by-step explanation:(4x2+9)(4x2-9)=0

Your welcome

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1 year ago