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2 years ago

(3 x 1) + (6 x 1 - 100

Mathematics

1 answer:

alexira [117]2 years ago

3 0

Answer: 3.06

Step-by-step explanation:

PEMDAS

Parenthesis first:

(3x1)= 3

(6x1/100)= 0.06

Finally add and then you have 3.06.

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A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers

Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

$\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57$

Using normal distribution table, $z_{0.005$ is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

$e= z_{0.005}\frac{\sigma}{\sqrt{n} } = 2.57*\frac{3900}{\sqrt{100} } =1002.3$

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0

3 years ago

What is the next step you should take?<br> 1 + 18n = 33

Ivahew [28]

Answer:

You need to carry the one over by subtracting 1 from 33. The new equation will be 18n = 32

3 0

2 years ago

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Find the volume of a prism whose area of base is 44cmsquare and height is22cm

vovangra [49]

For this problem, you can use the volume of a prism equation:
V=Bh
Where B is the area of the base and h is the height.

So to solve this problem, all you have to do is mutiply 44 square cm by 22 cm.
44 square cm • 22 cm = 968 cubic cm

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2 years ago

If log a = x and log b = y, then log (ab2) equals

mylen [45]

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

$log(a) + log(b) \: ⇒ \: log(a \times b)$

$log( {a}^{n} ) \: ⇒ \: n log(a)$

In this question, you have to seperate it out :

$log(a {b}^{2} ) = log(a) + log( {b}^{2} )$

$log( {b}^{2} ) = 2 log(b)$

$let \: log(a) = x$

$let log(b) = y$

$log(a {b}^{2} ) = log(a) + 2 log(b)$

$log(a {b}^{2} ) = x + 2y$

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3 years ago

Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution.

Andru [333]

Hey there!!
The answer is (13)(21)(7).

Hope this is what ur looking for.

~ TRUE BOSS

7 0

2 years ago

(3 x 1) + (6 x 1 - 100​

(3 x 1) + (6 x 1 - 100