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erastovalidia [21]
2 years ago
12

A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 se

conds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Mathematics
2 answers:
NISA [10]2 years ago
8 0

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

kobusy [5.1K]2 years ago
6 0

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

You might be interested in
The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normaldistribution with a mean of 20 mi
creativ13 [48]

Answer:

95.15%

Step-by-step explanation:

We have that the mean (m) is equal to 20, the standard deviation (sd) 3

They ask us for P (x <25)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (25 - 20) / (3)

z = 1.66

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.66) = 0.9515

Which means that the probability that it arrives before 25 minutes is 95.15%

6 0
3 years ago
2x + 3x + 4 equals .
RUDIKE [14]
Add like terms
only add x's together
2x+3x=5x

we can't add x's and numbres so
answer is 5x+4
7 0
3 years ago
C=-7/15 and x=2/5 c-4x write your answer in simplest form
pogonyaev

9514 1404 393

Answer:

  -31/15

Step-by-step explanation:

Put the numbers in the expression and do the arithmetic.

  c-4x=-\dfrac{7}{15}-4\cdot\dfrac{2}{5}=-\left(\dfrac{7}{15}+\dfrac{8}{5}\right)\\\\=-\left(\dfrac{7}{15}+\dfrac{24}{15}\right)=\boxed{-\dfrac{31}{15}}

__

Your graphing calculator can probably help with this.

5 0
3 years ago
In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

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

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
The surface area of a sphere with a diameter of 12 units is:
svetlana [45]

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

4 0
3 years ago
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