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iVinArrow [24]
3 years ago
10

Taking color into account, does the shape have rotational symmetry? If so, what is the angle of rotation, rounded to the nearest

degree?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0
There are 6 identical and symmetrical shapes if colors are ignored.
Because color is taken into account, each shape (with a distinct color) can be rotated into itself about the center of the figure through an angle of 360°.

Answer:
The shape has rotational symmetry.
The angle of rotation, taking color into account, is 360°.
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A car company took a random sample of 85 people and asked them whether they have a plan to purchanse an electrinic car in the ne
lutik1710 [3]

Answer:

We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).

Step-by-step explanation:

For this case the estimated proportion of people who responded that they have a plan to buy one electric car is given by:

\hat p = \frac{X}{n}= \frac{18}{85}=0.212

Where X represent the number of people who responded that they have a plan to buy one and n represent the sample size selected

We know that the confidence level for this case is 96% of confidence, then our significance level would be \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be:

z_{\alpha/2}=-2.05, z_{1-\alpha/2}=2.05

The confidence interval for the true proportion is given by this expression:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the data given we got:

0.212 - 2.05\sqrt{\frac{0.212(1-0.212)}{85}}=0.121

0.212 + 2.05\sqrt{\frac{0.212(1-0.212)}{85}}=0.303

We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).

6 0
4 years ago
Choose the best definition for the following term: algebraic expression (1 point)
Sphinxa [80]
A number, a variable, or group of number and variables that are added, subtracted, multiplied, or divided
4 0
4 years ago
Find the nonpermissible replacement for 'n' in this expression (-8)/(5n) 
seraphim [82]
In any rational function the denominator should never equal to 0, hence in this case since the denominator is 5n the only answer is n should not equal 0 
7 0
3 years ago
Read 2 more answers
A B C or D? Multiple choice please help
S_A_V [24]

Answer: a

Step-by-step explanation:

(6z³+3z²-4z+8) - (4z²-3z+2)

all of the numbers in the second set of parenthesis are going to have their signs switched so...

(6z³+3z²-4z+8) + (-4z²+3z-2)

now you add the two sets of parenthesis

<u>6z³ - z² - z + 6</u>

<u />

7 0
3 years ago
Rita started the day with r apps then she deleted 5 apps and still had twice as many apps as Cora has .write and an equation tha
Elodia [21]

Answer:

r - 5 = 2c

r = 75

Step-by-step explanation:

To write an equation for the problem, we first need do declare the value of the number of apps cora has.

Let c = Cora's apps

r - 5 = 2c

r - 5 is used to indicate that Rita deleted 5 apps.

2c is used to represent the twice the number of apps Cora has.

Now you said that Cora had 35 apps.

Let's plug that into the equation.

r - 5 = 2c

r - 5 = 2(35)

r - 5 = 70

Now we transpose the -5 to the other side to leave r.

r = 70 + 5

r = 75

So if Cora has 35 apps, then Rita will have 75 apps.

3 0
3 years ago
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