All categories

3 years ago

Hi! Can someone help me with this? Properties and Logarithmic Functions.

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

$2\log_{10}x + \log_{10}5 = \log_{10}x^2 + \log_{10}5 = \log_{10}5x^2$

So the answer is $\log_{10}5x^2$

------------------

I used the log rules

y*log(x) = log(x^y)

log(x) + log(y) = log(x*y)

these rules apply to any log base (not just base 10).

You might be interested in

What is a good estimate for 684+ 2317.I need it today please answer.

Eduardwww [97]

2980 round everything to the nearest tens and add with your head to get it

6 0

3 years ago

Read 2 more answers

In a random sample of 600 cars making a right turn at a certain intersection, 157 pulled into the wrong lane. Test the hypothesi

nevsk [136]

Answer:

The statistic value |Z| = 2.053 > 1.96 at 0.05 Level of significance

Null hypothesis is rejected

Alternative hypothesis is Accepted

Actually 30% of all drivers make not this mistake at the given intersection

b)

The test statistic value |Z| = 2.053 >2.576 at 0.01 Level of significance

Null hypothesis is Accepted

Actually 30% of all drivers make this mistake at the given intersection

Step-by-step explanation:

Step(i):-

Given Population proportion = 30% or 0.30

Given data In a random sample of 600 cars making a right turn at a certain intersection, 157 pulled into the wrong lane

sample proportion

$p^{-} = \frac{x}{n} = \frac{157}{600} = 0.2616$

Null hypothesis:- H₀: p = 0.30

Alternative hypothesis : H₁:p≠0.30

Step(ii):-

Test statistic

$Z = \frac{p^{-}-P }{\sqrt{\frac{p(1-p)}{n} } }$

$Z = \frac{0.2616-0.30 }{\sqrt{\frac{0.30(1-0.30)}{600} } }$

Z = -2.053

|Z| = |-2.053| = 2.053

Level of significance = 0.05

Z₀.₀₅ = 1.96

The calculated value |Z| = 2.053 > 1.96 at 0.05 Level of significance

Null hypothesis is rejected

Alternative hypothesis is Accepted

Conclusion:-

Actually 30% of all drivers make not this mistake at the given intersection

b)

Given level of significance = 0.01

Z₀.₀₁ = 2.576

The calculated value |Z| = 2.053 >2.576 at 0.01 Level of significance

Null hypothesis is Accepted

Actually 30% of all drivers make this mistake at the given intersection

7 0

2 years ago

Emily has some $5 bills and $10 bills she has 15 bills she has $120 how many $5 bills does she have

Alexxx [7]

Step-by-step explanation:

Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so:

F+T = 15

T = 15-F

She has $120 total:

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F) [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

6 = F

Check:

T= 15-F = 15=6 = 9

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

4 0

3 years ago

A magician flips a coin 8 times producing heads each time. Is there statistical significance to say that the coin is somehow rig

MakcuM [25]

Answer:

Step-by-step explanation:

Either a or b could work, but he's a magician so it's probably rigged

7 0

3 years ago

Which ordered pair is the solution?

IrinaVladis [17]

The answer is D neither because its
(3,2)
Hope this helps

5 0

2 years ago