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2 years ago

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)

2 answers:

4 0

To solve this problem you must apply the proccedure shown below:

1. The vertex i at (0, 36) and a focus at (0, 39), then you have:

a=36
a^2=1296

2. The directrix is:

y=a^2=c
c=39
y=1296/39
y=432/13

Therefore, the answer is the option D, which is: D. y=± 432/13

solniwko [45]2 years ago

4 0

Answer:

D. y=± 432/13

Step-by-step explanation:

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How to I solve this please help!!! I will give Brainliest.

worty [1.4K]

Answer:

x is 35

Step-by-step explanation:

First do 180 -40 and get 140. Then add 3x plus x to get 4x because they are the same value/ Do 140/ 4x and get 35. X equals 35.

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2 years ago

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According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p

Feliz [49]

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .

4 0

2 years ago

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si

natali 33 [55]

Answer:

1. Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute.

Step-by-step explanation:

From the graph, we see that,

X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).

Also, the graph of the function is decreasing by 1 miles for every 2 minutes.

That is, the distance from home is decreasing as the time increases.

That is, the bus is getting closer to the home.

Further, as the distance is decreasing by 1 mile for every 2 minutes.

Thus, the rate of decrease is $\frac{1}{2}$ miles per minute.

As we know, $Speed=\frac{Distance}{Time}$

So, the slope represents the speed of the bus travelling towards home.

That is, 'Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute'.

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2 years ago

Read 2 more answers

weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probabi

kenny6666 [7]

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

7 0

2 years ago

An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh

Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0

2 years ago