Which situation has a unit rate of $7?

A cinder block is in the shape of a rectangular prism. The cinder block has two holes shaped like rectangular prisms that are th

guajiro [1.7K]

Answer:624 pur thas the answer

6 0

3 years ago

Read 2 more answers

Which of the following describes a transfer of energy through work

harina [27]

H I JUST TOOK THE TEST

7 0

3 years ago

A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with t

zaharov [31]

Answer:

a. 0.2

b. 0.42

c. 0.7

d. the solution is in the explanation

e. x and y are not independent

Step-by-step explanation:

a. from the joint probability mass function table,

p(x=1) and p(Y= 1)

= p(1,1) = 0.2

b. prob(0,0)+prob(0,1)+prob(1,0)+prob(1,1)

= 0.10 + 0.04 + 0.08 + 0.20

= 0.42

P(X ≤ 1 and Y ≤ 1) = 0.42

c. prob {X ≠ 0 and Y ≠ 0}

= prob(1,1) + prob(1,2) + prob(2,1) + prob(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

= 0.7

d. we have to calculate the marginal pmf of x and y here.

we have the x values as 0,1,2

prob(x=0) = 0.1 + 0.04 + 0.02

= 0.16

prob(x=1) = 0.08 + 0.2 + 0.06

= 0.34

prob(x=2) = 0.06+0.14+0.3

= 0.50

we have y values as 0,1,2

prob(y=0) = .1+.08+.06

= 0.24

prob(y=1) = .04+.2+.14

= 0.38

prob(y = 2) = 0.02+0.06+0.3

= 0.38

P(X ≤ 1) = prob(x=0)+prob(x=1)

= 0.34+0.16

= 0.50

e. from the joint table we have this,

prob(1,1) = 0.2

prob(x=1) = 0.34

prob(y=1) = 0.38

then prob(x=1)*prob(y=1)

= 0.34*0.38

= 0.1292

therefore prob(1,1) is not equal to prob(x=1)*prob(y=1)

0.2≠0.1292

x and y are not independent

7 0

3 years ago

In a study of 479,908 cell phone users, it was found that 213 developed cancer of the brain or nervous system. Assuming that ce

Setler79 [48]

Answer:

The probability of 213 or fewer cases of such cancer in a group of 479,908 people is 0.2776.

Step-by-step explanation:

We are given that assuming that cell phones have no effect, there is a 0.000462 probability of a person developing cancer of the brain or nervous system. We, therefore, expect about 222 cases of such cancer in a group of 479,908 people.

Let $\hat p$ = sample probability of a person developing cancer of the brain or nervous system.

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population probability of a person developing cancer of the brain or nervous system = 0.000462

n = sample of cell phone users = 479,908

Now, the probability of 213 or fewer cases of such cancer in a group of 479,908 people is given by = P( $\hat p$ $\leq$ $\frac{213}{479,908}$ )

P( $\hat p$ $\leq$ 0.000444) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.000444-0.000462}{\sqrt{\frac{0.000444(1-0.000444)}{479,908} } }$ ) = P(Z $\leq$ -0.59)

= 1 - P(Z < 0.59) = 1 - 0.7224 = 0.2776

The above probability is calculated by looking at the value of x = 0.59 in the z table which has an area of 0.7224.

These results suggest about media reports that cell phones cause cancer of the brain or nervous system that there is around 28% chance that 213 or fewer cases of such cancer in a group of 479,908 people can take place.

6 0

3 years ago

A baker sells cookies for $1.50 each. If a minimum of two dozen cookies is ordered, the baker gives a 40% discount for each cook

kenny6666 [7]

I don't see the expression below.
Since the 40% discount applies to the number of cookies sold above 2 dozen, or 24, then if the number of cookies is c, then c - 24 is the number of cookies above 2 dozen. Answer is B.

7 0

3 years ago