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2 years ago

Reflection: Across the line y = -1

Mathematics

1 answer:

eduard2 years ago

8 0

The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.

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The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the vol

allsm [11]

Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^3$

a - edge length

-----------------------------------

The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

$V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3$

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

$\dfrac{V_A}{V_B}=\dfrac{8a^3}{a^3}=8$

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2 years ago

he life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean lifetime of a bulb is 540 hours

almond37 [142]

Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 540, \sigma = \sqrt{625} = 25$

The probability of a bulb lasting for at most 569 hours is the <u>p-value of Z when X = 569</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{569 - 540}{25}$

Z = 1.16

Z = 1.16 has a p-value of 0.877.

0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

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1 year ago

On Friday you biked 6.4 miles on Saturday you biked 9.8 miles how many miles have you biked altogether

astraxan [27]

Answer:

16.2 miles

Step-by-step explanation:

just add 6.4 and 9.8 you will get 16.2 miles

7 0

2 years ago

Find the center and the radius of the circle with the equation: x^2 +2x + y^2-2y-14 =0

FrozenT [24]

We need to convert the equation of the circle to standard form only then we can find the radius and the center of the circle.

$x^{2} +2x+ y^{2}-2y-14=0 \\ \\ 
x^{2} +2x+ y^{2}-2y=14 \\ \\ 
x^{2} +2(x)(1)+ y^{2}-2(y)(1)=14 \\ \\ 
 x^{2} +2x+1 + (y^{2}-2y+1)=14+1+1 \\ \\ 
(x+1)^{2}+(y-1)^{2} =16 
$

From this equation we can write:

Center of the circle is (-1,1) and the radius of the circle is 4.

5 0

3 years ago

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What is the length of the unknown leg of the right triangle?

cluponka [151]

Answer:

length of unknown side is 59

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Reflection: Across the line y = -1 ​

Reflection: Across the line y = -1