All categories

3 years ago

Angles are preserved in which of the following types of transformations? I. rotations II. reflections III. translations

Mathematics

2 answers:

Nuetrik [128]3 years ago

7 0

Angles are preserved in reflextions

monitta3 years ago

4 0

Answer:

I, II, and III

Step-by-step explanation:

i had this same question on study island

You might be interested in

Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level.

victus00 [196]

Answer:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

$\hat p=\frac{87}{225}=0.3867$ estimated proportion of households with incomes below the poverty level

$p_o=0.32$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic is given bY:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

4 0

4 years ago

Find [4(cos15° + isin15°)]^3 and express it in a + bi form.

arsen [322]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 ( $\frac{\sqrt{2} }{2}$ + $\frac{\sqrt{2} }{2}$ i )

= 64 ( $\frac{\sqrt{2} }{2}$ (1 + i) )

= 32 $\sqrt{2}$ (1 + i)

= 32 $\sqrt{2}$ + 32 $\sqrt{2}$ i

3 0

3 years ago

(GIVING BRAINLIEST!!)

stepladder [879]

Answer: B

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay alt

Svet_ta [14]

Answer:

Step-by-step explanation:

multiply 40 x 20 which =80

then put a point after the 8 then add a 0.

Your final answer should be 40% of $20 is $8.00

7 0

3 years ago

I want solution 1 and 2 with the steps to know the final answer

Delicious77 [7]

Question 1:

Slope = 1/5

y = mx + c
y = 1/5 x + c
at point (5, -1)
-1 = 1/5 (5) + c
- 1= 1 + c
c = - 2

y = 1/5x - 2
5y = x - 10

Question 2:
slope = (9-5)/(3-1)
Slope = 2

y = mx + c
y = 2x + c

at point (1, 5)
5 = 2(1) + c
c = 5 - 2
c = 3

y = 2x + 3

4 0

4 years ago