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1 year ago

9. Abby walked 3 km west. Then she walked

Mathematics

1 answer:

masya89 [10]1 year ago

8 0

Answer:

2km

Step-by-step explanation:

- Abby walked 3 km west: Abby is 3km west from her starting point.

- Then she walked twice as far going east: she walks 6km east so she's 3 km east from her starting point

- She continued east for another kilometre: She's is 4 km east from her starting point

- Stopping 2 km east of Lauren's home: She's currently 2 km east from Lauren's home and 4km east from her starting point. Therefore, Abby's starting point is 4km - 2km = 2km west from Lauren's home

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A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo

Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

No. of people work for the manager = 50

X = 3, 4 , 5 , 6 , 7, 8

P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒ $0.1+?+0.14+0.3+0.36+0.06 = 1$

⇒ $0.96+? = 1$

⇒ $?= 1-0.96$

⇒ $? = 0.04$

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

$0.04\times 50$

⇒ 2 no. of people work for four hours per shift .

5 0

1 year ago

Read 2 more answers

Timothy wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each

Ede4ka [16]

Answer:

(A) the specific number of siblings for each randomly selected student

Step-by-step explanation:

First Timothy wants to estimate the mean number of siblings for each student in his school

So he selected a random sample of 75 students, then recorded the number of siblings they have

He later find the mean.

You can see the mean was obtained from the selected group not all students in the school hence option D and E are not correct.

Option A clearly indicates a mean was obtained for the siblings that were from the randomly selected students.

4 0

2 years ago

The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.

DanielleElmas [232]

Answer: E(Y) = 1.6 and Var(Y)=1.12

Step-by-step explanation:

Since we have given that

X 0 1 2

P(X) 0.4 0.4 0.2

Here, number of games = 2

So, $Y=X_1+X_2$

Since $X_1\ and\ X_2$ are independent variables.

so, $E[Y]=2E[X]\\\\Var[Y]=2Var[X]$

So, we get that

$E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56$