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dsp73
3 years ago
9

Dan will be 8X years next year. how old was Dan five years ago. give your answer in terms of X

Mathematics
1 answer:
morpeh [17]3 years ago
6 0
If Dan is 8x years old next year then he must be 8x-1 years old this year
With the same logic, five years ago from this year, he must be 8x-1-5=8x-6

The answer should be 8x-6
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Roxy has received the following quiz scores so far this year: 75, 88, 90, 96, 98, 100 Which box plot represents this data?
blsea [12.9K]
75,88,90,96,98,100

minimum = 75
Q1 = 88.....this is where the box begins
Q2 (the median) = (90 + 96) / 2 = 186/2 = 93....this is the line in the box
Q3 = 98....this is where the box ends
maximum = 100
                 
                 88_93______98
75_______|      |              |___100
                   |___|_______|
3 0
3 years ago
Read 2 more answers
A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture
xxMikexx [17]

Answer:

water : 90 ounces

salt solution: 90 ounces

Step-by-step explanation:

Call w the amount of water and call the solution containing 30% salt.

We want to get 180 ounces of a mixture with 15% salt.

So:

The amount of mixture will be:

w + s = 180

the amount of salt will be

0w + 0.3s = 180 * 0.15

0.3s = 27

s = 90\ ounces

Now we substitute the value of s in the first equation and solve for w

w + 90 = 180

w = 90\ ounces

5 0
3 years ago
If g(x) = 2x - 5 and h(x) = 3x + 7, then g(h(x)) = ?
Anarel [89]

Answer:

Step-by-step explanation:

g(h(x))=g(3x + 7). Since h(x)=3x + 7

g(h(x))= 2(3x + 7) - 5

g(h(x))= 6x + 14 -5

=6x +9

3 0
3 years ago
A 12inch diameter pizza has 22 calories per square inch. About how many calories are in the entire pizza? Use 3.14 for pi. Selec
wlad13 [49]

Step-by-step explanation:

Diameter of pizza = 12 inch

Therefore, radius r = 6 inch

Area \: of \: entire \: pizza \\  = \pi {r}^{2}  \\  = 3.14 \times  {6}^{2}  \\  = 3.14 \times 36 \\  = 113.04 \:  {inch}^{2}  \\  \\ amount \: of \: calories \: in \: entire \: pizza \\  = area \: of \: pizza \\  \times calories \: per \: square \: inch \\  = 113.04 \times 22 \\  = 2,486.88 \\

5 0
3 years ago
An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
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