A sample of 75 concrete blocks had a mean mass of 38.3 kg with a standard deviation of 0.6 kg.

Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the

Elena L [17]

PART 1:55-21=35
35/60=.58333
360×.58333 =210 DEGREES
210*pi/180 = 3.665 RADIANS

PART 2: (pi) x 2r x .58333
3.14 x 12 x .58333 = 21.98 in

PART 3: 5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians

PART 4: 2.618 radians * 180/pi = 150° 
 x coordinate = 6(cos 150°) = -5.196 
 y coordinate = 6(sin 150°) = 3 
 the coordinates would be (-5.196, 2)

7 0

2 years ago

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Mrs. Jones buys two toys for her son. The probability that the first toy is defective is 1/3, and the probability that the secon

sergeinik [125]

Answer:

Probability= $\frac{1}{15}$

Step-by-step explanation:

As it is given that

Probability of toy A is defective is =P(A) = $\frac{1}{3}$

Probability of toy b is defective if A is defective = P (B)= $\frac{1}{5}$

WE have to find the P(A n B)

By the law of Probability

P(A n B) = P (A).P(B)

putting the values given to us

P(AnB)= $\frac{1}{3}$ * $\frac{1}{5}$

Probability= $\frac{1}{15}$

3 0

2 years ago

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Lillian is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Lillian will ea

satela [25.4K]

Answer:

30 c + 100 m = 700

c+ m = 14

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations.

The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.

30 c + 100 m = 700

The number of movies (m) plus the number of commercials (c) is equal to 14.

c+ m = 14

The system is:

30 c + 100 m = 700

c+ m = 14

6 0

2 years ago

A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's

wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

$z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\$

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

$P(-43.5$

6 0

2 years ago

Six Flags is offering a package deal of 5 entrance passes for $130. If 1 entrance pass normally costs $30. how much will you sav

stiv31 [10]

Answer:

You will save $20

Step-by-step explanation:

30x5=150-130=$20

7 0

2 years ago