The length of a diagonal of a large square garden is 15 yards. What is the approximate length of one side of the square garden?

1 answer:

8 0

By the pythagorean theorem the diagonal length will be:

d^2=x^2+y^2 and since this is a square x=y so

d^2=2x^2 and since d=15

225=2x^2

x^2=112.5

x=√112.5 yds

x≈10.6 yds (to nearest tenth of a yard)

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Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis

ruslelena [56]

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: $H_0:p=0.45 \\ H_a:p>0.45$

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The level of significance is α=0.05

As p-value< α ∵0.025< 0.05

[if p-value< α , we reject $H_0$ ]

then, we reject the null hypothesis.

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3 years ago

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GuDViN [60]

Answer:

vertex = (0, -4)

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Step-by-step explanation:

Given:

y-intercept of parabola: -4
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Vertex form of a parabola: $y=a(x-h)^2+k$

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Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

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