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Bad White [126]
3 years ago
15

The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi

ation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
Mathematics
1 answer:
son4ous [18]3 years ago
6 0

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

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Answer: see below

<u>Step-by-step explanation:</u>

A) y has the smaller radius so this is the Minor Axis

B) y has the smaller radius so these are the CoVertices

C) x has the bigger radius so these are the Vertices

D) This is the Center of the ellipse.

F & G) These are the Foci (plural for Focus)

H) x has the bigger radius so this is the Major Axis

8 0
3 years ago
If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following
KonstantinChe [14]

The current price of the item is $2500 and the price 10 years from today is $3665. 2.

Given exponential function

p(t) = 2500 × (1.039)^t

where t is the number of years from today.

Rate of inflation is 3.9% per year

The computation of the current price of the item and the price 10 years from today is shown below:-

p(t) = 2500 × (1.039)^t

Now, the current price can be found by putting t = 0

p(0) is

p(0) = 2500 \times (1.039)^{0}

= 2500

The price 10 years from today can be found by putting t = 10

p(10) is

p(10) = 2500 \times (1.039)^{10}

= 2500 × 1.466

= 3,665.181

Rounding to nearest dollar

= $3665. 2

The current price of the item is $2500 and the price 10 years from today is $3665. 2.

Find out more information about current price here

brainly.com/question/20709139

#SPJ4

3 0
1 year ago
8.(Extra Credit)Knowing the value of x determine the numerical value of all the dimensions on the model.Label them accordingly.
Ber [7]

Answer:

I don't know but a hunch

Step-by-step explanation:

can you add the 2 closets .then the bed and bathroom.Add those up then finally the living room you can get that answer

5 0
2 years ago
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
7 0
1 year ago
A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h
julia-pushkina [17]
Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288
6 0
3 years ago
Read 2 more answers
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