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Akimi4 [234]
2 years ago
10

What is the area of the base?

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

A=\frac{bh}{2}

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2

So the area of the base is 24 in²

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After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over
denpristay [2]

Complete question is;

After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days. Using this as a reasonably accurate measure, find the probability that the green parrot will gross over $2200:

A. At least 5 of the next 7 business days.

B. at least 5 of the next 10 business days.

C. less than 3 of the next 5 business days.

d. Exactly 7 of the next 10 business days

e. At least 1 of the next 5 business days.

Answer:

A) P(X ≥ 5) = 0.9262

B) P(X ≥ 5) = 0.9986

C) P(X ≤ 2) = 0.0266

D) P(X = 7) = 0.1298

E) P(X ≥ 1) = 0.9999

Step-by-step explanation:

This is a binomial probability distribution problem and as such we will use the formula;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

A. At least 5 of the next 7 business days will be;

P (X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7)

P(X = 5) = C(7, 5) × 0.85^(5) × (1 - 0.85)^(7 - 5)

P(X = 5) = 0.20965

P(X = 6) = C(7, 6) × 0.85^(6) × (1 - 0.85)^(7 - 6)

P(X = 6) = 0.396

P(X = 7) = C(7, 7) × 0.85^(7) × (1 - 0.85)^(7 - 7)

P(X = 7) = 0.320577

Thus;

P(X ≥ 5) = 0.20965 + 0.396 + 0.320577

P(X ≥ 5) = 0.9262

B. Probability of at least 5 of the next 10 business days will be;

P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator attached, we can see that the answer is;

P(X ≥ 5) = 0.9986

C. Probability of less than 3 of the next 5 business days will be;

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

From online binomial calculator attached, we can see that the answer is;

P(X ≤ 2) = 0.0266

D. Probability of exactly 7 of the next 10 business days will be;

P(X = 7) = C(10, 7) × 0.85^(7) × (1 - 0.85)^(10 - 7)

P(X = 7) = 0.1298

e. Probability of at least 1 of the next 5 business days will be;

P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

From third image attached using online binomial calculator, we have;

P(X ≥ 1) = 0.9999

5 0
2 years ago
The following dot plot shows the height of each toddler at Ms. Cabrera's daycare. Each dot represents a different toddler.
Rudik [331]

Answer:

15 little crazy toddlers

Step-by-step explanation:

I simply added 2+3+5+4+1 (since each dot represents a single toddler) and I came up with the answer 15

Hope I helped!! Maybe Brainliest??

7 0
3 years ago
Read 2 more answers
Can someone please help<br><br>find slope/rate of change <br>a. 1/3<br>b. 3<br>c. 30<br>d. 10​
Lera25 [3.4K]

Answer:

Answer should be 1/4, since it's not there I would suggest 1/2.

Step-by-step explanation:

Its rise/run therefore it going up one and moving four.

3 0
3 years ago
Can I take a picture of the problem and upload for you to see?
eduard
Yes you can …………………………
6 0
2 years ago
Find the quotient. -22s^4t -8st /2st
kicyunya [14]

Answer:

-11s^3 -4

Step-by-step explanation:

( -22s^4t -8st) /2st

Separate into parts

-22s^4t / 2st    -8st /2st

-11 s^3             -4

8 0
3 years ago
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