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4 years ago

Evaluate log416 -2 1/2 2

Mathematics

1 answer:

krok68 [10]4 years ago

5 0

16 = 4²

So, by the definition of logarithms

$\log_4{16}=2$

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Use the given information to find the minimum sample size required to estimate an unknown population mean μ

Nastasia [14]

Answer:

Step-by-step explanation:

Margin of error = E = $ 120

Confidence Level = 95%

The z-score for 95% confidence level from the z-table = z = 1.96

Population standard deviation = σ = $593

Sample size = n = ?

The formula to calculate the margin of error is:

$E=\frac{z \sigma}{\sqrt{n} }$

Re-arranging the equation, we get:

$\sqrt{n}=\frac{z \sigma}{E}\\\\ n = (\frac{z \sigma}{E})^{2}$

Using the given values in above equation, we get:

$n=(\frac{1.96 \times 593}{120} )^{2}\\\\ n = 93.8$

Rounding of to next higher integer, we get n = 94

Thus, we need a sample size of 94 to estimate an unknown population mean μ

4 0

3 years ago

Please help me ! thank you

Tpy6a [65]

1/2^-2 Can be written as 2^2

Therefore , 2×2=4

4 0

3 years ago

The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the pa

prisoha [69]

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

4 0

4 years ago

6th grade math help me pleaseeee

saveliy_v [14]

Answer:

21x − 12

Step-by-step explanation:

4 0

3 years ago

A box of chocolates contains hard-centred and soft-centred chocolates in the ratio 5 : 2. If there are 49 chocolates in the box,

dem82 [27]

Hard centered: 35
Soft centered: 14

7 0

2 years ago