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vagabundo [1.1K]
3 years ago
11

Amelia is looking at the top of a lighthouse. She knows she is 32 feet from the base of the lighthouse. If she is 62 inches tall

and the angle of elevation is 37°, how tall is the lighthouse? Round to the nearest tenth of a foot.
Mathematics
1 answer:
podryga [215]3 years ago
5 0

Answer:

28.3 feet

Step-by-step explanation:

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A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on four numbers pays 8 to 1 (that is, if you bet $1 and one of t
Natasha_Volkova [10]

Answer:

Lose $0.05

Step-by-step explanation:

There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).

If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:

P(W) = \frac{4}{38} \\P(L) = 1-P(W) = 1-\frac{4}{38} \\P(L) = \frac{34}{38}

The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)

EV=\frac{4}{38}*\$8 -\frac{34}{38}*\$1\\EV= -\$0.05

On each bet, the player is expected to lose 5 cents ($0.05).

4 0
3 years ago
The sum of two numbers is ten. the difference between them is 8 . find the two numbers
alexira [117]

x+y=10

x-y=8, x=y+8

y+8+y=10

2y=2

y=1

So, x=10-y=10-1=9.

Numbers Would be 9 and 1.


3 0
3 years ago
⚠️Attention ⚠️HELPPPPPP!!!!!
german

Answer:

it would be B.

Step-by-step explanation:

6 0
2 years ago
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of
VashaNatasha [74]

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

3 0
3 years ago
The function V(t)=1,000(1.06)^t models the value of an investment after t years. What does the ".06" represent in the function?
slamgirl [31]

Answer:

A

Step-by-step explanation:

Looking at the function, we have;

V(t) = 1,000(1.06)^t

Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;

V = I(1 + r)^t

where V is the value of the investment after some certain number of years

I is the initial amount invested

r is the constant percentage increase

and t is the number of years.

Let’s now re-write what we can deduce in the question.

This is;

V(t) = 1000(1 + 0.06)^t

Thus what this 0.06 represents is r which is the constant interest rate

8 0
3 years ago
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