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3 years ago

If QR=x+29 and PS=x–16, what is the value of x?

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

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Which number is greater?<br> 2.2 or 15/4 (it is a fraction)

BabaBlast [244]

Answer:

15/4

Step-by-step explanation:

15 divided by 4 = 3.75

3.75 is greater than 2.2

8 0

3 years ago

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Neporo4naja [7]

The answer is (0,2).

6 0

3 years ago

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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

Please hurry <br> Select all the points that are on the graph of the line<br> 3x + 5y = 20 ?

Lynna [10]

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

8 0

2 years ago

An=-31+(n-1)-11 find the eleventh term

Lilit [14]

An=-31+(n-1)-11 find the eleventh term

a11 = -31 + (-11) (11-1)

a11 = -31 +-11(10)

a11 =-31 +-110

a11 = -142

3 0

3 years ago