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Bezzdna [24]
3 years ago
6

The grid below shows figure Q and its image figure Q' after a transformation:

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0
<h3>Answer: choice B) counterclockwise rotation of 90 degrees around the origin</h3>

To go from figure Q to figure Q', we rotate one of two ways

* 270 degrees clockwise

* 90 degrees counterclockwise

Since "270 clockwise" isn't listed, this means "90 counterclockwise" is the only possibility.

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The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 6 months. What
Ad libitum [116K]

Answer:

P(57

P(-0.67

P(-0.67

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:

X \sim N(61,6)  

Where \mu=61 and \sigma=6

We are interested on this probability

P(57

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(57

And we can find this probability like this:

P(-0.67

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.67

6 0
3 years ago
The number of pastries produced by a bakery can be represented by
antiseptic1488 [7]

Answer:

where are the others

Step-by-step explanation:

is there supposed to be other numbers?

3 0
2 years ago
Solve for x<br> Please help
Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

4. By Pythagorean theorem, x^2=81-36=25, x=5

5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4\sqrt{2}. (the ratio is 1:1:\sqrt{2} by Pythagorean theorem)

6. Like Question #5, the ratio is 1:1:\sqrt{2} since it is an isosceles triangle, the leg is 8.

4 0
3 years ago
Distribute the following :2/5(3x-8)
faltersainse [42]
The answer would be 6x/5-16/5

8 0
3 years ago
The perimeter of ABCD is 66 and DC is twice as long as CB how long is a B
Natali5045456 [20]
<span>Length = x Width = 2x
Perimeter = 2 * length + 2 * width
= 2x + 4x
= 6x 
6x = 66
x = 11 
</span><span>Length = x Width = 2x
Perimeter = 2 * length + 2 * width
= 2x + 4x
= 6x 
6x = 66
x = 11</span>
3 0
3 years ago
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