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3 years ago

13

Lin is a camp counselor she is making small bags of trail mix for. The campers to take on a hike she has 2pounds of raisins and

is putting 1/8 pound in each bag how many bags can she fill before she runs out of raisins

1 answer:

uranmaximum [27]3 years ago

5 0

2 pounds of raisins* (1 bag/ 1/8 pound of raisins)= 16 bags.
(Note that the unit cancels out so you get the answer)

Lin can fill 16 bags before she runs out of raisins~

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Find the error & find the correct answer 2In(x)=In(3x)-[In(9)-2In(3)] In(x^2)=In(3x)-[In(9)-In(9)] In(x^2)=In(3x)-0 In(x^2)=

Art [367]

Answer:

Error: $lnx^2=ln 3x$ not $ln\frac{3x}{0}$

Solution:x=0 and 3

Step-by-step explanation:

We have to find the error and correct answer

Given: $2ln x=ln(3x)-[ln9-2ln(3)]$

$lnx^2=ln(3x)-[ln9-ln3^2]$

Using the formula

$alog b=logb^a$

$lnx^2=ln(3x)-[ln9-ln9]$

$lnx^2=ln(3x)-0$

$lnx^2=ln(3x)$

$x^2=3x$

$x^2-3x=0$

$x(x-3)=0$

Therefore, x=0 and x=3

But last step in the given solution

$lnx^2=ln\frac{3x}{0}=\infty$

It is wrong this property is used when

$log m-log n$ then

$log\frac{m}{n}$

Hence, the student wrote $lnx^2=ln\frac{3x}{0}$ instead of $lnx^2=ln3x$ and solution is given by

x=0 and x=3

4 0

3 years ago

Karnataka cuts a length of ribbons into 4 equal pieces, each 1 1/4 feet long how long was the ribbon?

nasty-shy [4]

4 * 1 1/4 = 5
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7 0

3 years ago

Read 2 more answers

When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval

Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

$\alpha = 1-99$ %

$=1-0.99$

$=0.01$

then,

$\frac{\alpha}{2} =\frac{0.01}{2}$

$=0.005$

or,

$Z_{\frac{\alpha}{2} }=Z_{0.005}$

$=2.576$

Now,

The point estimate will be:

⇒ $\hat{P}=\frac{x}{n}$

⇒ $=\frac{110}{343}$

⇒ $=0.321$

or,

⇒ $1-\hat{P}=1-0.321$

⇒ $=0.679$

The margin of error will be:

⇒ $E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )$

On substituting the above values, we get

⇒ $=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }$

⇒ $=2.576\times \sqrt{\frac{0.217959}{343} }$

⇒ $=0.065$

hence,

⇒ $\hat{P}-E$

⇒ $0.321-0.065$

⇒ $0.256,0.386$

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2 years ago

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Answer:

Step-by-step explanation:

A)55 + 12 + 43=110

B) 55+14+40=98

C)55 + 16 +37 =108

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2 years ago

The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl

alina1380 [7]

Answer:

Step-by-step explanation:

Let the speed of the car be "X". From 3 am until 1 pm (10 hours), the car will travel 10*X miles.

The speed of the airplane is (X +200). From 11 am until 1 pm (2 hours), the plane will travel 2*(X+200).

The distance travelled is the same, so:

10*X = 2*(x+200)= 2x+400

Subtract 2*X from both sides:

8*X = 400

X = 400/8 = 50 mph.

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3 years ago