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andrey2020 [161]
3 years ago
11

Use the Statistical Applet: Normal Density Curve to answer the question.Set the mean and standard deviation to 0 and 5 , respect

ively. Note that 0.023 of the area under the curve falls below −10.0 . Now set the mean to 10 and keep the standard deviation at 5 . Under these settings, 0.023 of the area under the curve falls below 0.0 . Proportion?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

z=-1.995

And if we solve for a we got

a=10 -1.995*5=0.025

Step-by-step explanation:

For this case we have the initial case we have a normal distribution given :

X \sim N(0,5)  

Where \mu=0 and \sigma=5

And from the info of the problem we know that:

P(X

We can verify this using the z score formula given by:

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

And if we replace we got:

P(X

Now we have another situation for a new random variable X with a new distribution given by:

X \sim N(10,5)  

Where \mu=10 and \sigma=5

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.977   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.023 of the area on the left and 0.977 of the area on the right it's z=-1.995. On this case P(Z<-1.995)=0.023 and P(z>-1.995)=0.977

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.995

And if we solve for a we got

a=10 -1.995*5=0.025

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Answer:

- 3x(x - 4) + 2 - (5 - x) \\ =   - 3 {x}^{2}  + 12x + 2 - 5 + x \\  =  - 3 {x}^{2}  + 13x - 3

I hope I helped you^_^

3 0
3 years ago
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A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter
guajiro [1.7K]
Answer:

Explanation: L = longer piece S = shorter piece

L + S = 22

L = 4 + S

S + S + 4 = 22
-4 -4
S + S = 18

S = 18/2 = 9 cm

L = 4 + S —> 4 + 9 = 13 cm

To confirm:

13 cm + 9 cm = 22 cm

Therefore, the shorter piece is 9 cm.
3 0
2 years ago
Need answer please<br> .......
prohojiy [21]

Step-by-step explanation:

I hope you understand it

5 0
3 years ago
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you b
lord [1]

Answer:

Transitive property

Step-by-step explanation:

I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!

3 0
2 years ago
Triangle abc (a- 12cm b- 6cm) is similar to ayz, whats the value of x​
GrogVix [38]

Answer:

26cm

Step-by-step explanation: we want a triangle with shorter sides (smaller perimeter) and we got 2 similar triangles , since triangles are similar the corresponding sides would be in ratio.

To get triangle of shorter perimeter we have to use the longest side of

△

A

B

C

put 6cm side corresponding to 12cm side.

Let

△

A

B

C

~

△

D

E

F

6cm side corresponding to 12 cm side .

therefore,

A

B

D

E

=

B

C

E

F

=

C

A

F

D

=

1

2

So the perimeter of ABC is half of the perimeter of DEF .

perimeter of DEF =

2

×

(

3

+

4

+

6

)

=

2

×

13

=

26

c

m

answer 26 cm.

3 0
3 years ago
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