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3 years ago

6

There are 15 cards inside a bag with 1-15 numbers written on each card. If you pick one card at random, what is the probability

of picking an odd number or a multiple of 3?

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

2/3 or 67%

Step-by-step explanation:

Please kindly check the attached files for details.

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Distance between -5 and 12.

miskamm [114]

Answer:

The distance is 17

Step-by-step explanation:

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4 years ago

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Manuel needs to make a total of 60 deliveries this week. So far he has completed 36 of them. What percentage of his total delive

Alenkasestr [34]

Answer:

60%

Step-by-step explanation:

It’s simple

He needs to do 60, he has done 36

Percentage = (36/60) * 100

= 60%

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4 years ago

Write and expression with an exponent that has a value between 0 and 1

GenaCL600 [577]

X^(0.5)+2x+0.5 can be your answer - x^(0.5) means square root of x

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4 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

300 school children went on a field trip. 30% of them were first graders, 45% second graders and the rest were third graders. Ho

mrs_skeptik [129]

Answer:

just take 45 and 30 percent add them to get 75% so find 75 percent of 300 then subtract it and you get 75

Step-by-step explanation:

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3 years ago