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4 years ago

I can find a simplified expression for the perimeter of a square with a side length of (2x-4)

Mathematics

1 answer:

ELEN [110]4 years ago

4 0

perimeter = 8x - 16

A square has 4 sides of equal length, multiply length of side by 4

perimeter = 4(2x - 4) = 8x - 16

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1.Suppose that scores on a knowledge test are normally distributed with a mean of 71 and a standard deviation of 6

Degger [83]

Answer:

a) For this case we can see the distribution in the figure attached is a bell shaped graph and symmetrical around 71

b) $z = \frac{76-71}{6}= 0.833$

We can see the value of 76 labeled in the second picture attached

c) $P(X>76)$

And using the z score we have this using the normal standard table or excel:

$P(Z>0.833) = 1-P(Z$

d) $n = 185*0.202= 154.16$

We can say that about 154 and 155 students scored higher than Angelica

Step-by-step explanation:

We know that X represent the random variable scores of knowledge test and is given by:

$X \sim N (\mu = 71, \sigma =6)$

Part a

For this case we can see the distribution in the figure attached is a bell shaped graph and symmetrical around 71

Part b

For this case the z score is given by:

$z = \frac{X- \mu}{\sigma}$

And replacing we got:

$z = \frac{76-71}{6}= 0.833$

We can see the value of 76 labeled in the second picture attached

Part c

We want this probability:

$P(X>76)$

And using the z score we have this using the normal standard table or excel:

$P(Z>0.833) = 1-P(Z$

Part d

For this case we can find the number desired like this:

$n = 185*0.202= 154.16$

We can say that about 154 and 155 students scored higher than Angelica

6 0

4 years ago

How do the graphs of f (x) = x 2 and g (x)= 3/4 x 2? relate?

Agata [3.3K]

Answer:

$g(x)$ is a horizontal stretch of $f(x)$ by $\frac{3}{4}$ units.

Step-by-step explanation:

The given functions are;

$f(x)=x^2$

and

$g(x)=\frac{3}{4}x^2$

The parent function is $f(x)=x^2$ .

The function $g(x)=\frac{3}{4}x^2$ is a horizontal stretch of $f(x)=x^2$ by $\frac{3}{4}$ units.

8 0

4 years ago

Read 2 more answers

Am i correct please tell me

Bumek [7]

Idk much. But for #1. You can actually overdose on both if you take a lot of it. So it’s wrong

4 0

3 years ago

Read 2 more answers

True or False.<br><br>The following relation represents a function.

enot [183]

True because each point has it's own individual column

4 0

3 years ago

Evaluate 16/4 + 56 - (3 + 4 - 1)

ivolga24 [154]

10 is the one you want

3 0

3 years ago