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3 years ago

Rewrite log(17a•2b) as a sum

Mathematics

1 answer:

fgiga [73]3 years ago

4 0

log( 17a . 2b ) =

log( 17 × a × 2 × b ) =

log( 17 ) + log( a ) + log( 2 ) + log ( b )

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Tom practiced piano 1 and 1/3 hours on Monday. If he spent half as much time practicing on Tuesday, how long did he practice on

PtichkaEL [24]

Answer: 2/3 hours

Step-by-step explanation: 1 1/3 will equal 4/3 as you have a whole number equaling 3/1 so then you divide by two and get 2/3

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3 years ago

What is the quotient of (3x^3-4x^2+8x-1)/(x-2)

77julia77 [94]

$3x { }^{2} + 2x + 12 - \frac{23}{x - 2}$

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3 years ago

Suppose that the regression for predicting weight (in pounds) from Height (in Select one answer inches) is given by Weight =-115

Nutka1998 [239]

Answer:

Option D) I and II only

Step-by-step explanation:

We are given the following in the question:

Regression equation:

$w = -115 + 3.6h$

where w is the weight in pounds and h is the height in inches.

Since the weight depends on height, height becomes the independent variable and weight becomes the dependent variable.

I. A person who is 61 inches tall will weigh 104.6 pounds

When h = 61,

$w = -115 + 3.6(61) = 104.6$

Thus, the given statement is true.

II. For every additional inch of height, the predicted weight will increase, on average, by 3.6 pounds.

If the height increases by 1 unit, then,

$w(h+1) - w(h) = -115 + 3.6(h+1) - (-115 + 3.6(h))\\w(h+1) - w(h) = 3.6(h+1-h)\\w(h+1) - w(h) = 3.6$

Thus, the given statement is correct.

III. The correlation between weight and height is negative.

No, the given statement is not correct as with increase in height the weight increases and with decrease in height the weight decreases.

Thus, the correct answer is

Option D) I and II only

8 0

3 years ago

In a standard deck of 52 playing cards, what is the complement (not below 8)?

Damm [24]

Answer 2/13

Step-by-step explanation:

There are 52 cards in a standard deck: 13 ordinal cards (Ace -10, jack, Queen, King)and 4 of them

- one to each sute (hearts, diamonds, clubs, spades ) and so we have 4x13=52

There are 8 card that fit the question (4 each of access and kings).

so if you in a random draw the odds of drawing one of those 8 card out of the total number of 52 is 8/52

which we simplify

8/2=2/13

8 0

2 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two

wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean = $\lambda=2$ errors per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that a randomly selected page does not need to be retyped is given by :-

$P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767$

Hence, the required probability :- 0.6767

6 0

3 years ago