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Elodia [21]
2 years ago
10

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sam

ple of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.00 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 2.00 hours or less from a population whose mean is presumed to be 2.35 hours.
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
4 0

Answer:

9.72%

Step-by-step explanation:

Our values here are:

Sample Size, n= 55

Standard Deviation is 2.

\sigma = \frac{s}{\sqrt{n}} = \frac{2}{\sqrt{n}}

\sigma = 0.26968

Our probability of obtaining a sample equal or less to 2 hours is

P(X \leq 2) = P ( Z \leq \frac{2-2.35}{0.26968})

P=(Z \leq -1.292835) = 0.0972

We can conclude that our probability is 9.72% from a population whose mean is presumed to be 2.35hours

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Allisa [31]
(9.25x90-315)/90
(832.5-315)/90
517.5/90
5.75
5 0
1 year ago
Tyrell Otis deposited his IRS refund check for $760 at 5% and made no other deposits or withdrawals. How much simple interest di
Helga [31]

Answer:

He earned $114 in interest.

The final amount in the account is $874

Step-by-step explanation:

Initial balance (b): $760

Interest rate (i): 0.05

Period (n): 3 months

Simple interest applications yield the same amount in interest every period. Therefore, the total simple interest earned can be defined by:

I = n*B*i\\I= 3*760*0.05\\I=114

The final amount (A) in the account is the initial balance plus the interest earned in 3 months.

A = 760 +114\\A=874

He earned $114 in interest and the final amount in the account is $874

6 0
1 year ago
In triangle RST, U is the midpoint of RS, V is the midpoint of ST, and W is the midpoint of TR. Use the triangle diagram to answ
Zolol [24]

(1)

we are given

U is the midpoint of RS

and we have

RU=12

so, we can use formula

RS=2RU

we can plug values

RS=2\times 12

RS=24............Answer

(2)

V is the midpoint of ST

so, we get

SV=VT

now, we can plug values

2x=11

divide both sides by 2

x=5.5.........Answer

(3)

now, we can find y

W is the midpoint of TR

so, we get

RW=WT

we can plug value

15.9=3y

divide both sides by 3

y=5.3

(4)

we can see that

triangles URW and RST are similar

so, their sides ratios must be equal

so, we get

\frac{RW}{RT} =\frac{UW}{ST}

we can plug values

\frac{15.9}{2\times 15.9} =\frac{UW}{2VT}

\frac{15.9}{2\times 15.9} =\frac{UW}{2\times 11}

UW=22\times \frac{15.9}{2\times 15.9}

UW=11...........Answer

(5)

we can see that

triangles SUV and RST are similar

so, their sides ratios must be equal

so, we get

\frac{SU}{SR} =\frac{UV}{RT}

now, we can plug values

\frac{12}{2\times 12} =\frac{UV}{2\times 15.9}

UV=2\times 15.9\times \frac{12}{2\times 12}

UV=15.9.............Answer

4 0
1 year ago
For what value of x is the equation 22x + 7 = 215 true?
PIT_PIT [208]

Answer:

x = 9 5/11

Step-by-step explanation:

22x + 7 = 215

22x = 215-7

22x = 208

x = 208/22

x = 9 5/11

8 0
2 years ago
Read 2 more answers
Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck. What is the probabili
miskamm [114]

Given:

Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck.

To find:

The probability that the number drawn is a multiple of 3 and a multiple of 5.

Solution:

Total number from 1 to 70 = 70

Multiple of 3 from 1 to 70 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69.

Multiple of 5 from 1 to 70 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70.

Numbers which are multiply of both number 3 and 5 = 15, 30, 45, 60

Number of favorable outcomes = 4

Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}

Probability=\dfrac{4}{70}

Probability=\dfrac{2}{35}

Therefore, the required probability is \dfrac{2}{35}.

7 0
1 year ago
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