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Hatshy [7]
3 years ago
11

Highway patrol officers measure the speed of automobiles on a highway using radar equipment. The random variable in this experim

ent is speed, measured in miles per hour. This random variable is a _____. a. discrete random variable b. continuous random variable c. complex random variable d. None of the answers is correct.
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

b. continuous random variable

Step-by-step explanation:

Speed is a common continuous variable and the value is always random.

It is continuous because there is always another speed value between two speed values. For example, a car travelling at the rate of 50 mils per hour will either increase or decrease its speed at a continuous rate. No speed can drop suddenly form 50mph to 20mph.

It is random because although there might be speed limit, the speed recorded by the Highway patrol officer willl always be random in value.

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Casey bought a football jersey that cost $129.50. With tax, he paid $137.50. What is the sales tax rate?
liq [111]

Answer:

6.18%

Step-by-step explanation:

4 0
3 years ago
A sphere has a volume of 500/3 π cubic centimeters. What is the total surface area , in square centimeters, of the sphere
lutik1710 [3]

Answer:

\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have

V=\dfrac{500}{3}\pi\ cm^3

Substitute and solve for R:

\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3        <em>divide both sides by π</em>

\dfrac{500}{3}=\dfrac{4}{3}R^3          <em>multiply both sides by 3</em>

500=4R^3                <em>divide both sides by 4</em>

125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm

The formula of a Surface Area os a sphere:

S.A.=4\pi R^2

Substitute:

S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2

\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2

7 0
3 years ago
What equation is represented by the following visual model?
AlexFokin [52]
1/2 is equivalent to 3/6
8 0
3 years ago
Industrial quality control programs often include inspection of incoming materials from suppliers. If parts are purchased in lar
sammy [17]

Answer:

Step-by-step explanation:

Given that industrial quality control programs often include inspection of incoming materials from suppliers. If parts are purchased in large lots, a typical plan might be to select 20 parts at random from a lot and inspect them.

A lot might be judged acceptable if one or fewer defective parts are found among those inspected. Otherwise, the lot is rejected and returned to the supplier.

No of defectives in the lot would be binomial with constant p probability for being defective.  There are only two outcomes

a) 5% defective parts Here p = 0.05

P(lot will be accepted) =

P(X\leq 1)\\

=0.7358

b) p = 0.15

P(X\leq 1)\\\\=0.1756

c)  p=0.20

P(X\leq 1)\\\\=0.06912

3 0
3 years ago
Solve the system of equations.
Reil [10]
Add: -10y + 10y is 0 so cross it out; left with 14x=-14 divide by 14 on each side u get x=-1 NOW FOR Y: multiply top line by 5 and multiply bottom by 9 u get -100y =-90 now divide by -100 on each side for y
3 0
3 years ago
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