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Marina86
18 days ago
4

It is estimated that only 68% of drivers wear their safety belt. Part A: What is the probability that exactly 3 drivers are wear

ing their safety belts if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver wearing their safety belt that the police officer pulls over is the fifth driver? (5 points) (10 points)
Mathematics
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∠rst and ∠vst are a linear pair, m∠rst = 3x 7, and m∠vst = 9x 17. what are the measures of m∠rst and m∠vst?a.46, 134b.26, 154c.5
babunello [11817]
M∠ rst + m∠ vst = 180°
3 x + 7° + 9 x + 17° = 180°
12 x + 24° = 180°
12 x = 180° - 24°
12 x = 156°
x = 156°: 12
x = 13°
m ∠ rst = 3 · 13° + 7° = 39° + 7° = 46°
m ∠ vst = 180° - 46° = 134°
Answer:
A ) 46° and 134°
6 0
2 months ago
The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00
Svet_ta [12734]

Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:

z = (x - µ)/σ

Where

x = lifespan of the tire in miles.

µ = mean

σ = standard deviation

The given figures include,

µ = 40000 miles

σ = 5000 miles

The probability that a tire will last precisely 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500) / 5000 = -1.5

According to the standard normal distribution table, the probability associated with this z score is 0.067

6 0
2 months ago
Which statements are correct? Check all that apply.
babunello [11817]

Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.

2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.

3. True. Geometric constructions are crafted using a compass and straightedge.

4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.

6 0
2 months ago
Read 2 more answers
Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5
Zina [12379]
To determine this, we will apply the simple interest formula: A=P(a+rt)
where
A signifies the total amount.
P indicates the principal amount.
r represents the interest rate in decimal.
t denotes the time period in years.

Investment A. The initial investment amount is $10,000, so P=10000. The investment period is 5 years, meaning t=5. To express the interest rate in decimal, divide it by 100%
r= \frac{3}{100} =0.03
Now, we can substitute these values into our formula to find A:
A=P(a+rt)
A=10000(1+0.03*5)
A=11500

Investment B. P=8000, t=15, and r= \frac{2.8}{100} =0.028.
A=P(a+rt)
A=8000(1+0.028*15)
A=11360

In conclusion, investment A will yield a greater value than investment B at the investment period's conclusion.
3 0
3 months ago
Read 2 more answers
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