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Pavel [41]
3 years ago
11

Simplify radical -81

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Step-by-step explanation:

-81

\sqrt{ - 1}  \:  \times  \sqrt{81}

\sqrt{ - 1}  = i

i \times  \sqrt{9 {}^{2} }

i \times 9

9i

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Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus U
kow [346]

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

H_1:P>0.6

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ n \times p\times (1-P)

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion \hat P = \dfrac{x}{n}

= \dfrac{135}{200}

= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

7 0
3 years ago
the seating capacity of basketball stadium is 5782 the seats are arranged in 24 sections of the same size any seats over from th
notsponge [240]
5782/24=240 since we round down to s whole.

Multiply again by 24.
240*24=5760

There are 5782-5760=22 priority seats.

The correct answer is 22.
3 0
3 years ago
Find the value of x in the triangle shown below.<br> 4<br> 5<br> Choose 1 answer
nikitadnepr [17]

Answer:

x=3

Step-by-step explanation:

using the pythagorean theorem, c^2=a^2+b^2

5^2=x^2+4^2, x=3

4 0
3 years ago
Hard math problems that equal 8
kogti [31]
<span>4x+7x+19=3 x 12 - 4+(5 x 16) - 5 </span><span>

7x+3-2x=4x+2 x 5 + 1


</span>
3 0
3 years ago
What is the surface area of the following triangular prism?
Allisa [31]
This question was answered but no solution was given. 

We already solve for the B or area of the triangular base which was 5.25cm².

There are 2 triangular faces in the prism so 5.25cm² x 2 = 10.50cm²
There are 3 rectangular face in the prism, we need to get the area of each.

area of a rectangle = length x width
rectangle 1: 5 cm x 4 cm = 20 cm²
same dimension with rectangle 2. so, area is 20 cm² also
rectangle 3: 5 cm x 2.8 cm = 14 cm²

let us all add up the area of each surface.
2 triangle = 10.50 cm²
3 rectangles = 20 cm² + 20 cm² + 14 cm² = 54 cm²

10.50 cm² + 54 cm² = 64.50 cm²
8 0
3 years ago
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