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3 years ago

15) If the point (6, 3) is rotated 180° clockwise about

Mathematics

1 answer:

dalvyx [7]3 years ago

8 0

Answer:

B. (-2, 15)

Step-by-step explanation:

Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

[4, -6] → [-4, 6]

Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:

→ [0, 0] back to [2, 9]

Translation

→ [-4, 6] to the new coordinate of [-2, 15]

I am joyous to assist you anytime.

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Tensile-strength tests were carried out on two different grades of wire rod. Grade 1 has 10 observations yielding a sample mean

LuckyWell [14K]

Answer:

$t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240$

$df = n_1 +n_2 -2 = 10+15-2= 23$

$p_v = 2*P(t_{23} >2.240) = 0.035$

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

Step-by-step explanation:

Data given

$\bar X_1 = 1085$ sample mean for group 1

$\bar X_2 = 1034$ sample mean for group 2

$n_1 = 10$ sample size for group 1

$n_2 = 15$ sample size for group 2

$s_1 = 52$ sample deviation for group 1

$s_2 = 61$ sample deviation for group 2

Solution

We want to check if the two means are equal so then the system of hypothesis are:

Null hypothesis: $\mu_1= \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

And the statistic is given by:

$t = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}}$

And replacing we got:

$t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240$

The degrees of freedom are given by:

$df = n_1 +n_2 -2 = 10+15-2= 23$

And the p value would be:

$p_v = 2*P(t_{23} >2.240) = 0.035$

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

8 0

3 years ago

Ill give brainiest for the one who answers all the question

wel

Answer:

Because it will take a lot of time to do

6 0

3 years ago

Sarah has 20 bags of chips for her party 1/4 of the chips were doritos and 1/5 of the remaining chips are sour cream and onion h

LuckyWell [14K]

Answer:
3 bags of sour cream and onion crisps

Explanation:
1/4 of 20 is 20 divided by 4 so there are 5 packs of Doritos.

20-5=15 packs still left

1/5 of the remaining bags is 1/5 of 15. 15 divided by 5 is 3.

There are 3 bags of sour cream and onion crisps.

Hope this helped!

5 0

3 years ago

Read 2 more answers

1.) A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple cho

Archy [21]

Answer:

Multiple choice questions = 5

True questions = 15

Step-by-step explanation:

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 - T

Using the relation in (2)

11(20 - T) + 3T= 100

220 - 11T + 3T= 100

220 - 8T = 100

-8Tf = 100 - 220

-8T = - 120

T = 120/8

T = 15

Mc = 20 - 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

6 0

3 years ago

help me please!!!!!!!!!!!

dlinn [17]

I think it’s either B or D

4 0

3 years ago