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Dovator [93]
3 years ago
12

Daniel stocks the shelves of his fathers toy store at night.On the top shrlf,he puts only boxed dolls and stuffed animals. The r

atio of boxed dolls to the total number of items on the top shelf is 7 to 16. Which number could be the number of stuffed animals put on the shelf
Mathematics
1 answer:
kakasveta [241]3 years ago
3 0

Answer:

9

Step-by-step explanation:

x-number of stuffed animals

7:16

Dolls:All the toys

7:7+x

16=7+x

x=9

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Which expression is equivalent to 4/5 divided by 8
notsponge [240]
4/5 divided by 8 is 0.1 other than that I don’t know that question is kind of vague
6 0
3 years ago
A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates
KIM [24]

Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:

P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}     (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)

We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

Then, if we calculate every probability using eq. 1, we get:

P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

P(x ≤ 4) = 0.028968

Finally, P(x ≥ 5) is:

P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

3 0
2 years ago
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface aft
den301095 [7]

Answer:

2.3 feet/ second

Step-by-step explanation:

To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.

This is given by rate of change = (change in position)/ change in time

From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.

Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds

Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.

Rounding off the answer to the nearest tenth, we have 2.3 ft/second

5 0
3 years ago
What's 48 hours ahead from last night at ten? Exact hour pls?
Katena32 [7]
Tomorrow night at ten because 48 hours is two days. So two days from last night at ten.

6 0
3 years ago
Read 2 more answers
Find the HCF and LCM of the following pairs of numbers:
Marina86 [1]

Answer:

a)HCF between 774&252 is=18

LCM between 774&252=10836

b)HCF between 204&544 is=68

LCM between 204&544 is=1632

c)HCF between 770&385 is=385

LCM between 770&385 is =770

d)HCF between 477&552=3

LCM between 447&552 is =82248

Step-by-step explanation:

a)because LCM=2×2×3×3×7×43

b)because LCM=2×2×2×2×2×3×17

c)because LCM=2×5×7×11

d)because LCM=2×2×2×3×23×149

4 0
3 years ago
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