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vovangra [49]
3 years ago
10

Assume that the weight of two year old babies have distribution that is approximately normal with a mean of 29 pounds and a stan

dard deviation of 3 pounds. what weight of two year old baby corresponds to 10th percentile?
Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:

25.15 ponds is the weight of two year old baby corresponds to 10th percentile.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 29 pounds

Standard Deviation, σ = 3 pounds

We are given that the distribution of weight of two year old babies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.10

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 29}{3})=0.10  

Calculation the value from standard normal z table, we have,  

P(z < -1.282) = 0.10

\displaystyle\dfrac{x - 29}{3} = -1.282\\x = 25.154 \approx 25.15

Thus, 25.15 ponds is the weight of two year old baby corresponds to 10th percentile.

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Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing A: { A 3 appears on each of
Arturiano [62]

Answer: 0.0278

Step-by-step explanation:

On a fair dice , there are six numbers (1,2,3,4,5,6) written on each face of dice.

Thus, when we thrown two dice , the sample space for the possibilities of outcomes will become :

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

i.e. Total number of outcomes = 36

For event A: { 3 appears on each of two dice.}

The favorable outcome = (3,3)

Now, the required probability : P(A)=\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}

=\dfrac{1}{36}=0.0277777777778\approx0.0278

Hence, the required probability is 0.0278.

3 0
3 years ago
Item 28
MAXImum [283]

Answer:

Required equation: 366=x-30

Length of the main span of the Dames point Bridge = 396 meters

Step-by-step explanation:

Main span of the Sunshine Skyway Bridge = 366 meters        .... (1)

Let x represent the length of the main span of the Dames point Bridge.

It is given that the bridge's main span is 30 meters shorter than the main span of the Dames Point Bridge.

Main span of the Sunshine Skyway Bridge = x-30 meters     .... (2)

From (1) and (2) we get

366=x-30

Add 30 on both sides.

366+30=x-30+30

396=x

Hence, the required equation is 366=x-30 and the length of the main span of the Dames point Bridge is 396 meters.

6 0
3 years ago
You purchase a hat for $17.98. The tax rate is 7%. What is the total cost, with
11111nata11111 [884]

Answer:

I believe the correct answer is B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
1) Solve the following equations : a)x/5 + 10 =15 b) 25x + 26 = 101
julia-pushkina [17]

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

4 0
2 years ago
How do u show work for this problem
damaskus [11]
Just show how you dived the equation and found the X
3 0
2 years ago
Read 2 more answers
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