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Lesechka [4]
3 years ago
14

Determine f(5) f(x)=2x'2-1 if x < or equal to -1 3x+2 if x > -1

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

To make it clearer, I just put every thing under the formal form

f(x) = \left \{ {{2x^2-1~~~~if~~~~  x\leq -1} \atop {3x+2~~~~~if~~~~~x>-1}} \right.

Step-by-step explanation:

Now, you have 2 equations with 2 conditions. One is > -1, and one is < -1.

The question is about f (5). So, which equation you use to replace x = 5? The first one or the second one? and why?

Answering those questions help you understand how it works.

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In a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost
Yuki888 [10]

Answer:

0.0259,0.0406

Step-by-step explanation:

Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.

a) p is the proportion of national adults who are baseball fans.

b) For 2012 poll, p=0.48

Std error = \sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.48*0.52}{1006} } \\=0.0158

Margin of error at 90% = 1.645 * std error

= 0.0259

c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie

d) Margin of error would be larger for 99% because critical value 2.58 >1.645

e) Margin of error 99% = 2.58*0.0157\\=0.0406

6 0
3 years ago
(a) Contrast the shapes of the data sets displayed in the box-and-whisker plots in Question 1. Explain
Ganezh [65]

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

Differentiating based on the shape of the box and whisker plot.

The first plot, named shrella depicts a skewed distribution, (negative skew) highlighted by the long whisker (tail) to the left with the median also shifting towatds to the right of the box away from the box center. This could mean that the time difference between the coins aren't even and older coins seem to exhibit a larger time gap than newer coins.

The second plot however. VENITA, depicts a distribution which could be described as normal, as the whiskers are aodt of equal length and the median centered in the middle of the box. This could mean that Venita's coins are evenly spread out based time.

B.)

As for the overall spread, Shrella's plot covers a wider range, hence (larger spread) than Venita's plot. Thanks to the long whiskers in Shrella's plot.

For the spread within the boxes, Venita's plot has a larger within box spread than Shrella. With Venita's plot has a wider box tham Shrella's box plot.

C)

The appropriate measure of centre to be used is the median which is denoted by the vertical line in between the box. Shrella's plot has a median value of about 68 while Venita's has a median value of 60. The median value are still s bit close or similar.

3 0
2 years ago
Evaluate each expression using order of operations <br><br>40-32÷8+5×-2​
klio [65]

Answer:

26

Step-by-step explanation:

40-32÷8+5×-2

40-4+5×-2

40-4+-10

36+-10

26

6 0
3 years ago
Pedro Pascal wants to have $15,000 in an account after five years. He found a bank that will offer him a 7.5% interest rate, com
Juli2301 [7.4K]

<u>Answer-</u>

He needs to put $10345 in the account today, in order to get 15000 in five years.

<u>Solution-</u>

We know that,

A=P(1+\frac{r}{n})^{nt}

Where,

A = future value of the investment with interest  = 15000

P = principal investment amount

r = annual interest rate (decimal)  = 7.5% = 0.075

n = number of times that interest is compounded per year  = 4

t = the number of years the money is invested = 5

Putting the values,

15000=P(1+\frac{0.075}{4})^{4 \times 5}

\Rightarrow P=\frac{15000}{(1+0.01875)^{20}} =\frac{15000}{1.01875^{20}} =\frac{15000}{1.45} =10344.8 \approx 10345

6 0
3 years ago
A recipe calls for 2 cups of water for every 3 cups of flour. How much water is needed if you use 12 cups of flour?
Tju [1.3M]

Answer:

8 cups of water

Explanation:

2 cups of water = 3 cups of flour

x cups of water = 12 cups of flour

12/3=4

2x4=8

6 0
2 years ago
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