All categories

3 years ago

The coordinates of the three vertices of a square are shown in the figure. What are the coordinates of the fourth vertex?

Mathematics

1 answer:

lapo4ka [179]3 years ago

3 0

Answer:

(-2, 1)

Step-by-step explanation:

The 4th point must be vertically above (-2, -4) and horizontally to the left of (3, 1).

Its coordinates are (-2, 1).

You might be interested in

Alex pays his bills online through his bank. He recently paid $156 for his electric bill and $61 for his internet bill. By how m

Ivanshal [37]

Answer:

hi paid electric bill$156

he paid for internet bill$61

$156+$61

=$217

4 0

3 years ago

Read 2 more answers

$12.25 pen set; 33% discount What is the sale price

taurus [48]

Answer:

Hey there! The answer is $8.21

Step-by-step explanation:

First, you must multiply the original price, 12.25, by the discount, 33%:

12.25*0.33

≈4.04

Now, subtract this amount from the original price:

12.25-4.04

=8.21

Hope this helps!

5 0

3 years ago

Read 2 more answers

A recipe call for 2 eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?

WINSTONCH [101]

You will need 7 eggs, 1 egg=5 pancakes so 7 eggs is 35 pancakes

5 0

3 years ago

Guys answer ASAP PLZ how many 1/2 can go into 10 3/4?????

Leona [35]

Answer:

Step-by-step explanation:

There are 2 halfs in 1 number.

Lets start with your whole number: 10

You double 10 because there are two halfs in each whole number making it equal 20.

Now you have 3/4

There would be 1 half in this number because it's a fraction and not a whole number.

You would be left over with 1/4

Your answer is 21

Hope this helps! Goodluck

6 0

3 years ago

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

3 years ago