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Darya [45]
3 years ago
6

Describe how the shape moves from:

Mathematics
1 answer:
dedylja [7]3 years ago
6 0

Answer:

1. Frame 1 to Frame 2 - Vertical downward translation

2. Frame 2 to Frame 3 - 90^{0} counterclockwise rotation

3. Frame 3 to Frame 4 - Vertical upward translation

Step-by-step explanation:

The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.

1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.

2. Rotating the shape in frame 2 by 90^{0} counterclockwise would move it to the shape in frame 3.

3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.

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2. A piece of string 42 centimeters long is cut into 2 unequal pieces. The longer
Vaselesa [24]

Answer: 28 cm

Step-by-step explanation:

x - the length of the shorter piece

2x - the length of the longer piece

Together they are 42 cm long.

Compose te equation:

2x + x = 42

3x = 42

x = 14 cm

The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).

Two times longer than 14 is 28. The longer piece is 28 cm.

4 0
3 years ago
New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their
Tom [10]

Answer:

1

  The  correct option is  C

2

 The  correct option is C

3

The  correct option is A

4

The  correct option is B

Step-by-step explanation:

From the question we are told that

    The  population mean is  \mu =  100

     The  standard deviation is  \sigma  =  15

     The  sample size is  n  =  36

     The  sample mean is  \=  x =  105.1

Generally

    The  null hypothesis is  H_o:  \mu =  100 \  hours

     The  alternative hypothesis is  H_a  :  \mu  \ne  100\ hours

Given that the null hypothesis is  true then the  distribution of sample means  \mu_{\=  x }, from a sample size of 36 is  mathematically represented as

        \mu_{\= x } =  \mu

=>     \mu_{\= x } =  100

According to the Central Limit Theorem the test stated in the question is  approximately normally distributed if the sample size is sufficiently large(n  >  30 ) so given that the sample size is  large  n =  36

Then the test is normally distributed and hence the standard deviation is 15

Generally the standard error of mean is mathematically represented as

     \sigma_{\= x } =  \frac{ \sigma }{\sqrt{n} }

=>  \sigma_{\= x } =  \frac{15}{\sqrt{36} }

=>  \sigma_{\= x } = 2.5

Generally  the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

        P( \=  X   \ge 105.1 ) =1 -  P(\= X  <  105.1) = 1-  P(\frac{\= X -  \mu }{\sigma_{\= x }}

=>    P( \=  X   \ge 105.1 ) =1 -  P(\= X  <  105.1) = 1-  P(Z

From the z-table (reference calculator dot net )

             P(Z

So

  P( \=  X   \ge 105.1 )= 1 -  P(\= X  <  105.1) = 1-  0.97932

 P( \=  X   \ge 105.1 ) =0.02    

4 0
4 years ago
Answer for brainliest no files
Alex787 [66]

Answer:

D

Step-by-step explanation:

because its the only one that get the answer 3 2/3 which is the amount shown on the line.

3 0
3 years ago
What is 9 x 10-2<br> as an ordinary number? Give your answer as a decimal.
DochEvi [55]

Answer:

0.09

Step-by-step explanation:

8 0
3 years ago
BRAINLY AWARDED TO FIRST TO ANSWER
kirza4 [7]
The correct answer is that the variable does have a binomial distribution; P(success)=0.5; the number of trials is 5.

This is binomial because it has a fixed number of trials, the trials are independent of each other, the probability of success is constant from trial to trial, and there are only 2 outcomes.  

Since success is getting an even number, and there are 3 even numbers out of 6, P(success)=3/6=0.5.

There are 5 trials because you are rolling the cube 5 times.
6 0
4 years ago
Read 2 more answers
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