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3 years ago

Which is not a true statement about the transformation shown below?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer: C: The orientation of the figure stayed the same

Step-by-step explanation:

Everything else is true

A. The figures do not change in dilation so they are still congruent

B. The pre-image does start in the top left which is quadrant 1

C. The orientation changes because the picture is reflected instead of translated so points D and E are in different respective locations

D. The image is a reflection. You can tell because both points D and E reflect across the Y-axis

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Linda used a triple beam balance to find the mass of three identical math textbooks. If the total of the three textbooks is 654

Bogdan [553]

Each book is 218 grams

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3 years ago

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

Find the 8th term in the sequence: x + 1, 2x + 1, 3x + 1,...

Rasek [7]

The common difference is x

the first term is x+1

a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1

3 0

3 years ago

How can I solve this? and can you please tell me how step by step.

Ludmilka [50]

Answer:27/343 or 0.0787172

Step-by-step explanation:

First you need to place the exponent on both the numerator and the demonimator to make 3 to the power of 3 over 7 to the power of 3

Next you evaluate the numerator so 3 to the power of 3 is 27

and 7 to the power of 3 is 343 so your answer in fraction form is 27/343

you can also change into a decimal if you divide the fraction if you need to

Hope this helps

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3 years ago

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Put the following equation of a one into a slope -intercept form, simplifying all fractions.

dusya [7]

Answer:

y = -4/3x -9

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

8x+6y = -54

Subtract 8x from each side

8x+6y-8x = -8x-54

6y = -8x-54

Divide each side by 6

6y/6 = -8x/6 -54/6

y = -4/3x -9

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3 years ago

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