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Alex787 [66]
3 years ago
15

Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a stand

ard deviation of 15. If 19 nurses are selected at random, find the probability that the mean weight is between 125 and 130 lbs
Mathematics
1 answer:
Aloiza [94]3 years ago
3 0
Given:
population mean, μ =135
population standard deviation, σ = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
\bar{x}=\mu=135

Estimate of sample standard deviation
\s=\sqrt{\frac{\sigma^2}{n}}
=\sqrt{\frac{15^2}{19}}=3.44124  to 5 decimal places.

Thus, using the normal probability table,
P(125
=P(\frac{125-135}{3.44124}
=P(-2.90593
=P(Z
=P(Z

Therefore 
The probability that the mean weight is between 125 and 130 lbs 
P(125<X<130)=0.0731166-0.0018308
=0.0712858



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Find the graph of the inequality y&gt;-(1/6)x+1.
Leya [2.2K]

Answer:

y > -x/6 + 1

Step-by-step explanation:

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4 0
3 years ago
Se quiere construir un muro de 4 m de alto, 12 m de largo y 10 cm de espesor. ¿Cuántos ladrillos de 8 cm de alto, 20 cm de largo
Llana [10]

Answer:

3000

Step-by-step explanation:

Let's start by finding the volume of the wall. The volumen of the wall can be considered as the volume of a rectangular prism. The volume of a rectangular prism is given by:

V_w=w*l*h\\\\Where:\\\\w=Width=10cm=0.1m\\l=Length=12m\\h=Height=4m

So the volume of the wall is:

V_w=0.1*12*4=4.8m^3

Now, we can find the volume of the brick using the same method since a brick can be considered as a rectangular prism as well:

V_b=w*l*h\\\\For\hspace{3}the\hspace{3}brick\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m

Hence:

V_b=(0.1)*(0.2)*(0.08)=0.0016m^3

In order to know how many bricks are required to build the wall, we just need to fill the wall volume with the number of bricks of this volume. So:

V_w=nV_b\\\\Where\\\\n=Number\hspace{3}of\hspace{3}bricks

Solving for n:

n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000

Therefore, we need 3000 bricks to build that wall.

Translation:

Comencemos por encontrar el volumen del muro. El volumen del muro puede considerarse como el volumen de un prisma rectangular. El volumen de un prisma rectangular viene dado por:

V_w=w*l*h\\\\Donde:\\\\w=Espesor=10cm=0.1m\\l=Largo=12m\\h=Alto=4m

Entonces el volumen del muro es:

V_w=0.1*12*4=4.8m^3

Ahora, podemos encontrar el volumen del ladrillo utilizando el mismo método, ya que un ladrillo también puede considerarse como un prisma rectangular:

V_b=w*l*h\\\\Para\hspace{3}el\hspace{3}ladrillo\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m

Por lo tanto:

V_b=(0.1)*(0.2)*(0.08)=0.0016m^3

Para saber cuántos ladrillos se requieren para construir el muro, solo necesitamos llenar el volumen del muro con la cantidad de ladrillos de este volumen. Entonces:

V_w=nV_b\\\\Donde\\\\n=Numero\hspace{3}de\hspace{3}ladrillos

Resolviendo para n:

n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000

Por lo tanto, necesitamos 3000 ladrillos para construir ese muro.

4 0
4 years ago
How would I do this?
Georgia [21]
Work shown above! Answer would be 110 degrees!

3 0
3 years ago
Each bowl can hold 1/4 cup of nuts. Taisha has 3 3/8 cup of nuts. How many full bowls can she make?
aksik [14]

Answer:

13 bowls

Step-by-step explanation:

To figure out how many bowls of nuts she can make, we divide how many cups of nuts she has by how many cups of nuts in a bowl

3 3/8 ÷ 1/4

Lets change 3 3/8 into an improper fraction

3 3/8 = (8*3 +3)/8 = 27/8

27/8 ÷ 1/4

Copy dot flip

27 /8 * 4/1

27/2

2 goes into 27 13 times with 1 left over

13 1/2

She will have 13 full bowls of nuts


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3 years ago
Look at the line graphed below. Write an equation of a different line that has the same y- Entercept as the line shown, but has
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Supposing the line graphed is y = 2x + 3, the equation of the different line is:

y = 4x + 3.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

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  • b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation is:

y = 2x + 3

Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:

  • Double the slope, hence m = 4.
  • Keep the same y-intercept, hence b = 3.

Then, the equation of the different line is:

y = 4x + 3.

You can learn more about the equation of a line at brainly.com/question/24685547

8 0
3 years ago
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