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stealth61 [152]
3 years ago
15

Biking at 10 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t

akes another hour for her to get to work when the train travels 28 mph. How far does Kristen travel to work?
Mathematics
1 answer:
vivado [14]3 years ago
6 0
<span>d = 18 mi   is the answer</span>
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Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

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

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
Which expression can be used to find the surface area of the following square pyramid?
telo118 [61]

Answer:

Step-by-step explanation:

The slant height of one side of this pyramid is 5, and the base of this side is 4.  Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.

There are 4 such sides.  Thus, the total slant surface area is 4(10 units^2), or 40 units^2.  

If you also want to include the base area, the total would be

40 units^2 + 16 units^2 = 56 units^2.

8 0
3 years ago
Jacki evaluated the expression below.
Maru [420]

Answer: Jacki did not subtract 12 from 8 correctly

Step-by-step explanation: it should be -4

5 0
2 years ago
Read 2 more answers
The first term in the sequence is 1, and each other term is 5 more than three times the previous term.
marin [14]

a_1=1, a_n=a_{n-1}+5 (n>1).

Hope this helps.

6 0
3 years ago
Determine the equation of the line given by the graph. A) y = 5 3 x − 4 B) y = 3 5 x − 4 C) y = − 5 3 x + 4 D) y = − 3 5 x + 4
GalinKa [24]

Answer:

Where is the Graph?

Step-by-step explanation:

3 0
2 years ago
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