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MA_775_DIABLO [31]
3 years ago
15

Find all solutions in the interval [0, 2π). 4 sin2x - 4 sin x + 1 = 0

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

x = π/6, 5π/6

Step-by-step explanation:

4 sin² x − 4 sin x + 1 = 0

(2 sin x − 1)² = 0

sin x = ½

x = π/6, 5π/6

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CaHeK987 [17]

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yes

Step-by-step explanation:

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worty [1.4K]

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Step-by-step explanation:

You need to make a shape that is the same shape and size to the triangle on the page.

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10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like
ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\  \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\  \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\  \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}

Now, we calculate the minimum value of the sample size as follows:

\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\  \\ \text{ We replacing:} \\  \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\  \\ \:n=103.2858\cong104 \end{gathered}

The minimum sample size needed is 104

3 0
1 year ago
List the following numbers in order from least to greatest. a) 3.5× 10/3 B) 3.5× 10-2 C) 5.3 × 10/3
Crazy boy [7]

Answer:

3.5*10^{-2}, 3.5*10^3, 5.3*10^3

B, A, C

Step-by-step explanation:

This is scientific notation. The numbers 3.5 * 10^3\\3.5 *10^{-2}\\5.3 * 10^3 can be ordered least to greatest by looking at their digits and exponents. Since a -2 as an exponent is present, this means this is a small decimal and is the least. 3.5 and 5.3 have the same exponent of 3 but 5.3 is greater than 3.5 so its the greatest. The order is

3.5*10^{-2}, 3.5*10^3, 5.3*10^3

5 0
3 years ago
Find the area of the rhombus
MAXImum [283]
<h3> Solution :-</h3>

Area of rhombus :-

\bf  \star \:  \:  \boxed{ \bf  \dfrac{d_{1}d_{2}}{2} }

\sf \longrightarrow d_{1} = 4 \sqrt{3}  + 4 \sqrt{3} = 8 \sqrt{3}

\sf \longrightarrow d_{2}  = 4 + 4 = 8

Area of rhombus :-

:  \implies \sf  \dfrac{8 \sqrt{3} \times 8 }{2}

:   \implies \sf  8 \sqrt{3}  \times 4

:  \implies \bf 32 \sqrt{3}  \:  {m}^{2}

6 0
3 years ago
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