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3 years ago

The coordinates of the vertices of ∆LMN are L(3, 0), M(2, -3), and N(0, 3).

Mathematics

1 answer:

fgiga [73]3 years ago

7 0

Answer:

The first triangle has been rotated 180 degrees reflected on point r (as in x)

Step-by-step explanation:

Draw it

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Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.005 signif

algol [13]

Answer:

a) F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

b) B. two-tailed

d) $t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64$

e) $p_v =P(t_{118}$

f) B. Reject the null hypothesis

Step-by-step explanation:

Information provided

$\bar X_{O}=2.91$ represent the mean for the Orange Coast

$\bar X_{C}=2.96$ represent the mean for the Coastline

$s_{O}=0.05$ represent the sample standard deviation for Orange Coast

$s_{C}=0.03$ represent the sample standard deviation for Coastline

$n_{O}=60$ sample size for Orange Coast

$n_{C}=60$ sample size for Coastline

$\alpha=0.005$ Significance level provided

t would represent the statistic

Part a

For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students

Null hypothesis: $\mu_{O} \geq \mu_{C}$

Alternative hypothesis: $\mu_{O} < \mu_{C}$

F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

Part b

For this case we need to conduct a left tailed test.

B. two-tailed

Part d

The statistic is given by:

$t=\frac{(\bar X_{O}-\bar X_{C})-\Delta}{\sqrt{\frac{s^2_{O}}{n_{O}}+\frac{s^2_{C}}{n_{C}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=60+60-2=118$

Replacing the info we got:

$t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64$

Part e

We can calculate the p value with this probability:

$p_v =P(t_{118}$

Part f

Since the p value is a very low value compared to the significance level given of 0.005 we can reject the null hypothesis.

B. Reject the null hypothesis

5 0

2 years ago

Mr. K has 112 feet of fencing to enclose a new garden. What is the maximum area of the garden that he can enclose?

musickatia [10]

Answer:

759 square foot garden

Step-by-step explanation:

L= length

W= Width

Perimeter = 2(L + W)

112 = 2(L + W)

divide both sides by 2 and you get

56 = L + W

L=33

W=23

6 0

2 years ago

Read 2 more answers

Which of the following ratios are equivalent ratios to 12:14?

sweet [91]

Answer:

a and c

Step-by-step explanation:

a: when you divide 12:14 by 2 itll give you half of each number. that equals 6:7

c: when you multiply 12:14 by 2 itll give you twice the amount which is 24:28

3 0

2 years ago

Read 2 more answers

What is the area of a circle when the circumference is 25 in

Ahat [919]

Answer:

49.735919716217

Step-by-step explanation:

Area =

C2 / 4π

4 0

2 years ago

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analyze the diagram below and complete the instructions that follow . find the value of z. A.11 B.32 C.50 D.68

masha68 [24]

Answer:

Step-by-step explanation:

x = √30² - 18² = √576 = 24

tan A = 18/24 = 3/4

∠A = ∠B

tan B = tan A = 24 / y = 3 / 4

y = (24 x 4) / 3 = 32

Z = y + 18 = 32 + 18 = 50

3 0

2 years ago