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Papessa [141]
3 years ago
13

Help me pls I really really need help with this I'm so bad at math

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0
Question 7: Answer J (7/8 - 1/2 = 3/8)
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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. ​(
Vinvika [58]

Answer:

a) P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

b) z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

X \sim N(106,0.3)  

Where \mu=106 and \sigma=0.3

Part a

We are interested on this probability

P(X>106.11)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And using this formula we got:

P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score we got:

z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

6 0
3 years ago
Which function is the inverse of f(x) = -5x -4?
Rudiy27

Answer:

f−1(x)=x5+45

Step-by-step explanation:

5 0
3 years ago
A cube has a face area of 64 square centimeters. what is the volume of the cube?
fredd [130]
The face of one side of a cube is a square shape. The formula for the area of a square
A=s²     where s=side length
plug in the data we know
64cm²=s²
√64cm²=s
8cm=s

The side length on the cube is 8cm

The formula for the volume of a cube is

V=s³    where s=side length
plug in the data that we know
V=8³
V=512cm³
3 0
3 years ago
Read 2 more answers
are there any other considerations that should be taken into account when trying to fit a giant tv into your car
FrozenT [24]
The width and height of the tv as well as the length and width of the back of your car
6 0
3 years ago
The length of a rectangle is 5 less than 3 times its width. The perimeter is
My name is Ann [436]

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

8 0
2 years ago
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