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3 years ago

What is the range of the function f(x) = 3.2x for the domain {-4, -2, 0, 2, 4}?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

5 0

Answer: The answer is A

Step-by-step explanation:

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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

2 years ago

Solve the inequality 3/5x+30 is less than or equal to 150

FrozenT [24]

Answer: less than

Step-by-step explanation:

8 0

2 years ago

BRAINLY CUP!!!! First to answer gets Brainliest and 50 points!

ArbitrLikvidat [17]

-np-4≤2(c-3)
-np-4≤2x-6
-np≤2x-2
-n≤(2x-2)/p
n≥-((2x-2)/p)

7 0

3 years ago

Read 2 more answers

The question is on the attached image :)

olga_2 [115]

The mean can be found by adding the two numbers and dividing by 2

let the second number be y

(x + y)/2 = 1/2x + 1

solve for y

multiply each side by 2
x + y = 2(1/2x + 1)
distribute
x + y = x + 2
subtract x on both sides
y = 2

ANSWER: the second number is 2

6 0

2 years ago

Find the volume of the cylinder whose base area is (4x)2 and height is (5x)2.

Gre4nikov [31]

Answer:

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

4 0

2 years ago