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1 year ago

In the 30-60-90 triangle below, side s has a length of

Mathematics

1 answer:

mario62 [17]1 year ago

7 0

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

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It is given that y=ax²-3. Express a in terms of x and y.

Elena-2011 [213]

A=(3+y)/x^2
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3 years ago

A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

nexus9112 [7]

Answer:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=370 represent the sample selected

$\hat p=0.4$ estimated proportion of readers owned a laptop

$p_o=0.45$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Creating the hypothesis

We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:

Null hypothesis: $p=0.45$

Alternative hypothesis: $p \neq 0.45$

The statistic is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

Calculating the p value

We have a bilateral test so then the p value would be:

$p_v =2*P(z$

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2 years ago

Weird things that my sibling tells me...

Amiraneli [1.4K]

Answer:

Of course.

Step-by-step explanation:

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2 years ago

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Write the following statement as an equation

puteri [66]

Answer:

The answer is: b5y + 9 = 16

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3 years ago

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The terminal side of an angle in standard position passes through P(–3, –4). What is the value of tan 0?

Murrr4er [49]

Answer:

tan(θ) = 4/3

Step-by-step explanation:

The tangent is the ratio of the y-coordinate to the x-coordinate:

... tan(θ) = (-4)/(-3) = 4/3

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2 years ago