HELP ME HURRY Which graph best represents an equation with the values shown in the table?

Sin law or cos law?!!!!!!!!!!!!!

MA_775_DIABLO [31]

Answer:

Law of Sines

Step-by-step explanation:

Law of Sines: $\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}$

Step 1: Solve for m∠B

$\frac{25}{sin36} =\frac{27}{sinx}$

25sinx = 27sin36°

sinx = 27sin36°/25

$x = sin^{-1}(\frac{27sin36}{25} )$

m∠B ≈ 39.4°

Step 3: Find m∠C

180 - (36 + 39.4)

180 - 75.4

m∠C = 104.6°

5 0

2 years ago

1. 11 1/6 =? 2. 2 9/10 =? 3. - 4/12 =? Please help me

Jobisdone [24]

Answer:

1.Exact Form: 67/6

Decimal Form: 11.167

Mixed Number Form: 11 1/6

2. 2 9/10

3. Exact Form: −1/3

Decimal Form: −0.3333

4 0

3 years ago

Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

Suppose you have a coupon for a 20% discount. You buy a game that costs $38. The sales tax rate is 5.5%. Sales tax applies to th

Soloha48 [4]

$32.072 ≈ $32.07
20% of $38 is equal to $7.60
$38 - $7.60 = $30.40
5.5% of $30.40 = 1.672
$30.40 + $1.672 = $32.072

5 0

3 years ago

Rectangle

Viefleur [7K]

Answer:

21 square units

Step-by-step explanation:

The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.

AB lies on the line y = -2, so the horizontal extent is the difference in x-values:

6 - 3 = 3

BC lies on the line x = 6, so the vertical extent is the difference in y-values:

5 -(-2) = 7

The area is the product of these two dimensions:

A = LW = (7)(3) = 21 . . . . square units

The area of the rectangle is 21 square units.

3 0

2 years ago

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