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Kamila [148]
3 years ago
15

if one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters what is the length of the hypoten

use in the centimeters ?
Mathematics
2 answers:
Aloiza [94]3 years ago
6 0
Is there a total somewhere like where we can plug in the pythagoream theorem
NISA [10]3 years ago
3 0
A2 + b2 = c2 
 so 3x3 = 9
6x6 = 26
26 + 9 = 35
 square root 35
5.9160797
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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)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

4 0
3 years ago
Help me plz branniest to whoever right
storchak [24]
(3x+7)+(4x+9)=-58
first add like terms
7x+16=-58
subtract 16 from both sides
-7x=-74
divide -7 from both sides
x=10.6
its 10.6 units long
7 0
3 years ago
Please give a step by step solution on how to solve #5. Thanks!
Zina [86]
Rate of burn(scented):1/8inch in 1/4h
=4(1/8)inch in 1h=1/2inch in 1h

Rate of burn(unscented):1/9inch in 1/3h=3(1/9)inch in 1h=1/3inch in 1h

The scented candle burns more in one hour.

1/2inch-1/3inch=1/6inch

The scented candle burns 1/6inch more per hour
7 0
3 years ago
What is the decimal expansion of 11/40
Katena32 [7]

Answer:

0.275

Step-by-step explanation:

5 0
3 years ago
Bob paid 17.50 for a box of cards and .35 each for 18 stamps. What was the total cost in dollars and cents of the box of cards a
alexgriva [62]
$23.80 for a box of cards and 18 stamps
8 0
2 years ago
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