Does anyone know the answer???

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the Order of Operations:

$(9 - 2)^{2} - [ {2}^{2} - {3}^{2}] + 2 = {7}^{2} - [4 - 9] + 2 = \\ \\ 49 - -5 + 2 = 49 + 5 + 2 = 56$

According to the Order of Operations, you evaluate everything on grouping symbols, then the exponents [indices, roots, etcetera], then Division & Multiplication from left to right, then finally, Subtraction & Addition from right to left [or left to right as long as you know what you are doing correctly].

I am joyous to assist you anytime.

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Suppose we want to test the claim that the majority of adults are in favor of raising the vote age to 21. Is the hypothesis test

Fofino [41]

Answer:

The hypothesis test is right-tailed.

Step-by-step explanation:

We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.

Let p = proportion of adults who are in favor of raising the voting age to 21

So, Null Hypothesis, $H_0$ : p $\leq$ 50%

Alternate Hypothesis, $H_A$ : p > 50%

As we know that the majority is there when we have more 50% chance of happening of that event.

Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.

On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.

This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.

8 0

3 years ago

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

creativ13 [48]

So hmm check the picture below

we know the vertex is at the origin, and the focus point is below it, that means two things, the parabola is vertical and it's opening downwards

notice the distance "p", from the vertex to the focus point, is just 7 units, however, since the parabola is opening downwards, the "p" value will be negative, so p = -7

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{4{{ p}}(y-{{ k}})=(x-{{ h}})^2 }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
4{{ p}}(y-{{ k}})=(x-{{ h}})^2\quad 
\begin{cases}
h=0\\
k=0\\
p=-7
\end{cases}\implies 4(-7)(y-0)=(x-0)^2
\\\\\\
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3 years ago

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My name is Ann [436]

A represents 77 units
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Answer:

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