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3 years ago

12

A child who is 4 ½ feet tall casts a 6-foot shadow. At the same time, a nearby statue casts a 15-foot shadow. How tall is the st

atue?

1 answer:

stiv31 [10]3 years ago

5 0

Answer:

13 1/2 tall

Step-by-step explanation:

If 4 1/2 is the childs hight and their shadow is 6 feet, the shadow adds 2 1/2 to the height.

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You are running a race. The probability that you win is 3/5. What is the probability that you lose at most 2 out of your 6 races

Veronika [31]

Answer:

The probability that you lose at most 2 out of your 6 races is 0.54432.

Step-by-step explanation:

We are given that you are running a race. The probability that you win is 3/5.

There are total of 6 races.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 6 races

r = number of success = at most 2 lost

p = probability of success which in our question is probability that

you lose a race = 1 - (3/5) = 2/5 or 0.4

Let X = <u><em>Number of races lost </em></u>

So, X ~ Binom(n = 6, p = 0.40)

Now, the probability that you lose at most 2 out of your 6 races is given by = P(X $\leq$ 2)

P(X $\leq$ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{6}{0} \times 0.40^{0} \times (1-0.40)^{6-0} + \binom{6}{1} \times 0.40^{1} \times (1-0.40)^{6-1} + \binom{6}{2} \times 0.40^{2} \times (1-0.40)^{6-2}$

= $1 \times1 \times 0.60^{6} + 6 \times 0.40^{1} \times 0.60^{5} +15\times 0.40^{2} \times 0.60^{4}$

= <u>0.54432</u>

7 0

3 years ago

Find the 23rd term of the sequence: 77,65,53,41

GREYUIT [131]

Answer:

The 23rd term is -187

Step-by-step explanation:

U₂₃=??, a=77, d=-12, n=23

U₂₃=a+(n-1)d

U₂₃=77+(23-1)(-12)

U₂₃=77+22(-12)

U₂₃=-187

U₂₃=-187

∴U₂₃=-187

6 0

3 years ago

Martha made three birthday cards and she wants to make them more if she makes five cars an hours how many cards will she have af

inessss [21]

Answer:

33 cards in total.

Step-by-step explanation: cards already made = <u>3</u>

cards she makes per hour = 5

therefore, no. of cards she makes in 6 hours = 5 x 6 = 30 +<u> 3</u> = 33 cards.

7 0

3 years ago

Evaluate each expression. (Simplify your answers completely.)

Butoxors [25]

Answer:

b- 6

c- 72 square root 2

Step-by-step explanation:

5 0

4 years ago

Represent 240.149 in two different ways ( i represented them in expanded form and word form. Then explain how each way shows the

lyudmila [28]

Expanded for shows how do u get the number and when u multiply it's like EX: 3 times .01 which is .03 so that's how is show u in expanded form and word from is showing how u say is and the place it's at EX: twenty-one and four tenths shows it's 21.4.

3 0

3 years ago