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shepuryov [24]
3 years ago
6

Find the x-intercept of the following equation. Simplify your answer.

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
The X- intercept is (2,0) if you’re looking for one number then it would just be 2
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Eight hundred registered voters were asked whether they would vote yes or no on a certain measure. If 38% of those polled said y
Ivan
100%-38%= 62%
To find the decimal of 62%, we will have to divide 62 by 100 to get 0.62.

0.62(800)= 496.

Therefore, 496 people will vote no.

Hope this helps!
6 0
3 years ago
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Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, port
GrogVix [38]

Answer:

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

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

X \sim N(49.5,15)  

Where \mu=49.5 and \sigma=15

We are interested in the bottom 10% of the data.

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

P(X>a)=0.9   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

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=-1.28

And if we solve for a we got

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

7 0
3 years ago
Multiple the following<br><br><br>Answer:​
ExtremeBDS [4]

Answer:

1) 0.024

2) 0.033

3) 4.8

4) 0.16

5) 0.084

6) 0.14

Step-by-step explanation:

1. 3 x 0.008 = 0.024

2. 11 x 0.003 = 0.033

3. 12 x 0.4 = 4.8

4. 4 x 0.04 = 0.16

5. 12 x 0.007 = 0.084

6. 7 x 0.02 = 0.14

6 0
3 years ago
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A boat is 400 feet away from one dock and 500 feet away from the another dock. the angle between the paths is 45°. what is the a
FinnZ [79.3K]

Answer:

  • The approximate distance between the docks is 357 feet

Step-by-step explanation:

Let the distance between docks be d.

This is the opposite side to 45° angle of triangle with other sides 400 ft and 500 ft.

Use the law of cosines to find the value of d:

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8 0
2 years ago
Find the area of the shaded portion the one who answer first will get brainliest
slega [8]

Answer:

≈ 77 cm²

Step-by-step explanation:

The area of the shaded portion is calculated as

area of outer sector - area of inner sector

= (πR² - π r²) × \frac{60}{360} ( R is the outer radius, r is the inner radius )

= (π × 14² - π × 7² ) × \frac{1}{6}

= (196π - 49π ) ÷ 6

= 147π ÷ 6

≈ 77 cm² ( nearest whole number )

5 0
3 years ago
Read 2 more answers
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