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2 years ago

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Mathematics

1 answer:

fomenos2 years ago

5 0

To find out how many Salmon Filet's were served, knowing that 80% of the specials were Salmon Filet, and there were a total of 70 specials in total, we need to find what 80 percent of 70 is. That's because that will lead us to our answer.

Since a percent is something over 100 (per 100), 80% is 80/100 which simplifies to 4/5. That means that we have to multiply 70 by 4/5. 70 * 4/5 is equal to 280/5. Since 280/5 equal 56, there were 56 Salmon Filet's served, or C.

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The rectangular backboard of a basketball court needs to be assembled. Its area is given as 18,900 cm2 and the width as 1.8 m.

Alex

Answer:

length=1.05m

perimeter=2.7m

Step-by-step explanation:

18900 in m^2=1.89 m^2

area=length*width

1.89=length*1.8 m

length=1.89÷1.8

length=1.05 m

perimeter=(l+w) 2

perimeter=(1.05+1.8)2

perimeter=2.85×2

perimeter=2.7 m

6 0

2 years ago

Give example of a function f: N-> N which is:

stiv31 [10]

An injective function is not a function that is surjective. This means that you want a function that has a unique output for each input, that doesn't cover the natural numbers.
In formal terms a function [Math Processing Error] is injective if [Math Processing Error] implies [Math Processing Error].

We also know that it's not surjective because no value maps to [Math Processing Error] (or any odd number) since if [Math Processing Error], then [Math Processing Error]. However, since [Math Processing Error], the function isn't surjective.

Answer is B.

8 0

3 years ago

A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year.

ra1l [238]

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)