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lisov135 [29]
3 years ago
6

The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m

inutes. What is the probability that it takes Renee at most 29 minutes to go grocery shopping
Mathematics
1 answer:
balandron [24]3 years ago
3 0

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

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Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.
aalyn [17]

Answer:

Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°

Hope this helps!

4 0
3 years ago
Find the surface area.
denpristay [2]

Step-by-step explanation:

a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.

while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :

top and bottom

left and right

front and back

all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.

your remember, the area of a rectangle is

length × width

in our case we have

top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²

left and right : 2.5×5 × 2 = 12.5×2 = 25 in²

front and back : 11.5×5 × 2 = 57.5×2 = 115 in²

so, the total surface area of the whole block is

57.5 + 25 + 115 = 197.5 in²

5 0
2 years ago
a rectangular lawn of sides 400m and 300m is surrounded by a path of width 3 m . find the area of path
DiKsa [7]

Answer:

2109 meter squared

Step-by-step explanation:

Area  \: of \:  path  \\ = (400+3)(300+3)-400 \times 300 \\  = 403 \times 303 - 120000 \\  = 122,109 - 120000 \\  = 2109 \:  {m}^{2}

8 0
3 years ago
What is the 9th term of the geometric sequence 4, −20, 100, …?
sveta [45]
First, we are going to find the common ratio of our geometric sequence using the formula: r= \frac{a_{n}}{a_{n-1}}. For our sequence, we can infer that a_{n}=-20 and a_{n-1}=4. So lets replace those values in our formula:
r= \frac{-20}{4}
r=-5

Now that we have the common ratio, lets find the  explicit formula of our sequence. To do that we are going to use the formula: a_{n}=a_{1}*r^{n-1}. We know that a_{1}=4; we also know for our previous calculation that r=-5. So lets replace those values in our formula:
a_{n}=4*(-5)^{n-1}

Finally, to find the 9th therm in our sequence, we just need to replace n with 9 in our explicit formula:
a_{9}=4*(-5)^{9-1}
a_{9}=4*(-5)^{8}
a_{9}=1562500

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
4 0
3 years ago
PLEASE help i neeed help asap im willing to give u 100 or 40 points if u answer this correctly so please help answer them all
AURORKA [14]

Step-by-step explanation:

The hundredth place is the second number to the right of the decimal place (e.g., in ab.cd, where a, b, c, and d represent digits, the hundredth place is d).

When we round to the nearest hundredth, we remove all digits after the <em>thousandth</em> place. Then, if the thousandth place is 5 or greater, we remove it and add 0.01 (round up); if the thousandth place is 4 or lesser, we remove it (round down).

Thus:

50.30=50.30, as there is no thousandth place

50.20=50.20, same reasoning

56.90=56.90, same reasoning

49.50=49.50, same reasoning

51.10=51.10, same reasoning

30.00=30.00, same reasoning

5 0
3 years ago
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