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3 years ago

Simplify (0.01)^(-0.5)

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Answer:10

Step-by-step explanation:

In fraction,

(1/100)^(-1/2)

Equivalent to 1/((1/100)^(1/2))

Power 1/2 is basically square root

So we have 1/(1/10) after applying square root to 1/100

so final step

1 divide (1/10) = 10

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3 years ago

In 2011, The New York Yankees won 97 out of 162 of their baseball games. Is there sufficient evidence that the proportion of win

Cloud [144]

Answer: It is sufficient evidence that it will reject the null hypothesis.

Step-by-step explanation:

Since we have given that

Number of players of baseball games = 162

Number of games won = 97

So, $\hat{p}=\dfrac{97}{162}=0.5988$

Hypothesis:

$H_0:p\leq 0.5\\\\H_a:p>0.5$

So, test statistic would be

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.5988-0.5}{\sqrt\dfrac{0.5\times 0.5}{162}}}\\\\z=2.514$

And the p-value = 0.006 at z=2.514.

Since p-value < α = 0.10 significance level.

Hence, it is sufficient evidence that it will reject the null hypothesis.

7 0

3 years ago

Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?

SIZIF [17.4K]

Answer:

Step-by-step explanation:

$\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)$

To make this easier, to get ride of the fractions, we can multiply both sides by 4

$2(x+15) = 8 + 3(x-4)$

now use the distributive property

$2x + 30 = 8 + 3x - 12\\$

now we want to isolate x to one side and isolate all the constants to the other

$2x - 3x = 8 - 12 - 30\\$

now simplify

$-x = -34\\x = 34$

to test, we can plug in back to the original

$\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}$

it works

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3 years ago

|x+6| =8 A) x=-2 and x= -14 B) x= -2 and x= 14 C) x=2 and x= -14 D) x=2 and x= -2

erica [24]

Answer:

C) x=2 and x= -14

Step-by-step explanation:

|x + 6| = 8

means

x + 6 = 8 or x + 6 = -8

x + 6 = 8

x = 2

x + 6 = -8

x = -14

5 0

3 years ago

In triangle xyz what is the cosine ratio of angle x

Jobisdone [24]

Data:
Hypotenuse is 7.5
Opposite of angle x is 6

Cosine = Side opposite (S.O) the angle on the hypotenuse (h)

We have:

 $Cos (\alpha)x = \frac{S.O}{h}$
$Cos (\alpha)x = \frac{6}{7.5}$
$\boxed{Cos (\alpha)x = 0.8}$

For better understanding, see the annex:

6 0

3 years ago

Simplify (0.01)^(-0.5)​

Simplify (0.01)^(-0.5)