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steposvetlana [31]
3 years ago
5

A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

actually different from the reported percentage. A random sample of 110 found that 20% of the readers owned a laptop. Determine the P-value of the test statistic. Round your answer to four decimal places.
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

Test statistic = - 2.29

Pvalue = 0.0110

Step-by-step explanation:

The hypothesis :

H0 : p = 0.3

H1 : p < 0.3

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 0.2

Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110

Z = - 0.1 / √0.0019090

Z = - 0.1 / 0.0436931

Z = - 2.29

Test statistic = -2.29

The Pvalue :

P(Z < -2.29) = 0.0110

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The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi
Anna35 [415]
We know that

The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

123-63=60°

 Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.

Hence
the answer is
the distance between the two ships is 8 miles apart

alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles


5 0
3 years ago
Read 2 more answers
What is 4/8 divided by 7/8
kifflom [539]

Answer: 4/7


Step-by-step explanation:

4/8 / 4/7

now you do multilpication so,

4x8

over

8x7

32/56 divided by 56/8=

4/7


hope i helped <33



8 0
3 years ago
Read 2 more answers
Need help with this question!!!<br> Pls explain!!!<br><br> 3=-(4x+7)+3x
natka813 [3]

The answer would be, x = 10

6 0
3 years ago
Read 2 more answers
Juniper wants to make a new rectangular garden in her backyard that has a length that is 2 more than twice the width. She needs
lisabon 2012 [21]

Answer:

2x+2y ≤ 64

x=2y+2

Step-by-step explanation:

x = length

y = width

the length is 2 more than twice the width or 2 more than twice y

x = 2+2y

the perimeter of the garden = 2 times the length + 2 times the width

she have 64ft of wire so the perimeter should be equal or less than 64 ft

64 ≥ 2x + 2y

5 0
3 years ago
Use the distributive property to find the equivalent expression.
slamgirl [31]

7(8)+7(d)

56+7d=

The question mark would be 7.

7 0
3 years ago
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