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3 years ago

Use the diagram to derive the law of cosines.

Mathematics

1 answer:

vladimir1956 [14]3 years ago

7 0

Answer:

B) x= a cos C

Step-by-step explanation:

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Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd =

swat32

Answer:

Test statistic, $t_{s} = -0.603$ (to 3 dp)

Step-by-step explanation:

Deviation, d = x -y

Sample mean for the deviation

$\bar{d} = \frac{\sum x-y}{n}$

$\bar{d} = \frac{(28-6) + (31-27)+(20-26)+(25-25)+(28-29)+(27-32)+(33-33)+(35-34)}{8} \\\bar{d} = -0.625$

Standard deviation: $SD = \sqrt{\frac{\sum d^{2} - n \bar{d}^2}{n-1} }$

$\sum d^{2} = (28-26)^2 + (31-27)^2 +(20-26)^2 +(25-25)^2 +(28-29)^2 +(27-32)^2 +(33-33)^2 +(35-34)^2\\\sum d^{2} = 63$

$SD = \sqrt{\frac{63 - 8 * (-0.625)^2}{8-1} }$

SD =2.93

Under the null hypothesis, the formula for the test statistics will be given by:

$t_{s} = \frac{ \bar{d}}{s_{d}/\sqrt{n} } \\t_{s} = \frac{- 0.625}{2.93/\sqrt{8} }$

$t_{s} = -0.6033$

6 0

3 years ago

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and

strojnjashka [21]

Answer:

P ( 5 < X < 10 ) = 1

Step-by-step explanation:

Given:-

- Sample size n = 49

- The sample mean u = 8.0 mins

- The sample standard deviation s = 1.3 mins

Find:-

Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.

Solution:-

- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:

X ~ N ( u , s /√n )

Where

s /√n = 1.3 / √49 = 0.2143

- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:

P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )

= P ( -14.93 < Z < 8.4 )

- Using standard Z-table we have:

P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1

7 0

3 years ago

Leila and jo are two of the partners in a business. Leila makes $3 in profits for every $4 that jo makes. If jo makes $60 profit

Aleonysh [2.5K]

Let

x-------> Leila 's profit

y------> Jo's profit

we know that

$\frac{x}{y} =\frac{3}{4}$ ----------> equation $1$

For $y=\$60$

<u>Find the value of x</u>

Substitute the value of y in the equation $1$

$\frac{x}{60} =\frac{3}{4}$

$x=60*\frac{3}{4}$

$x=\$45$

therefore

<u>the answer is</u>

Leila make $\$45$ in profit

5 0

3 years ago

Read 2 more answers

Help please - first question

Afina-wow [57]

The answer should be x=60. ABD are an equilateral triangle all the angles must add up to 180. 60*3=180. Also if you have a protractor you can measure the angle C, the 60 degrees part and measure it against A, D and B. Hope this helps.

5 0

3 years ago

For the standard form of two billion three Hundred fifty thousand four Danielle wrote 2,350,400,000 what error did she make what

Leona [35]

I believe the correct answer is 2,300,500,004

7 0

3 years ago