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Archy [21]
3 years ago
14

Which expression is equal to 6^4? 10 24 4^6 6⋅6⋅6⋅6

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

6⋅6⋅6⋅6

Explanation: The  exponent refers to the number of times a number is multiplied by itself.  6^4 represents that 6 is being multiplied 4 times.

6^{4}

Base ⇒ 6

Exponent ⇒ 4

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in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
(08.05 MC)
MissTica

Answer:

The rotation of the rectangle, of area 12 squared units, about y-axis produces a cylinder, with a volume of 48\pi cubic units.

Step-by-step explanation:

Rotation about x-axis or y-axis at an angle requires some general rules. When a 2D figure is rotated about a line a 3d figure would be produced. This can be done through a process called solid of revolution.

From the question, connecting the given coordinates produces a rectangle with a length of 4 units and width 3units.

Area of the rectangle = Length × width

                                   = 4 × 3

                                   = 12 square units

The required rule for rotation of a figure about y-axis is: (x, y) → (-y, x).

If the given rectangle is rotated about y-axis, a cylinder would be formed.

The volume of the cylinder = V = \pir^{2}h

where: r = 4 units and h = 3 units.

                V = \pi × (4)^{2} × 3

                   = 48\pi cubic units

Therefore, the rotation of the rectangle of area 12 squared units produces a cylinder with volume of 48\pi cubic units.

3 0
3 years ago
Ill mark brainlest plz help asap
solniwko [45]
<h3>Answer:  $7.99</h3>

Explanation:

Pick any point listed and divide the y coordinate over the x coordinate.

The simplest choice is the point where x = 1

y/x = (7.99)/(1) = 7.99

Or we could say something like

y/x = (95.88)/(12) = 7.99

3 0
3 years ago
Multi answer inequality! Please help and comment only if you know!
bearhunter [10]

Answer:

-8, 0, and -12

Step-by-step explanation:

Using -7 would get you 8. Using -5 would get you 4

6 0
3 years ago
24 equals x square root of two
Paladinen [302]

Answer:

12√2

Step-by-step explanation:

24 = x√2

24/√2 = x

12√2 = x

6 0
3 years ago
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