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Oduvanchick [21]
2 years ago
9

Need Help ....!!!

Mathematics
1 answer:
postnew [5]2 years ago
4 0

\\ \sf\longmapsto \dfrac{(0.0225)^{\frac{-3}{2}}\times (0.0001)^{\frac{3}{4}}}{(0.0125)^{\frac{1}{3}}}

\\ \sf\longmapsto \dfrac{((0.15)^2)^{\frac{-3}{2}}\times ((0.1)^4)^{\frac{3}{4}}}{(0.5)^3)^{\frac{1}{3}}}

\\ \sf\longmapsto \dfrac{(0.15)^{2\times \dfrac{-3}{2}}\times (0.1)^{4\times \dfrac{3}{4}}}{(0.5)^{3\times \dfrac{1}{3}}}

\\ \sf\longmapsto \dfrac{(0.15)^{-3}(0.1)^3}{(0.5)^1}

\\ \sf\longmapsto \dfrac{\dfrac{1}{(0.15)^3}\times 0.001}{0.5}

\\ \sf\longmapsto \dfrac{\dfrac{1}{0.003375}(0.001)}{0.5}

\\ \sf\longmapsto\dfrac{ \dfrac{1000000}{3375}\times \dfrac{1}{1000}}{0.5}

\\ \sf\longmapsto \dfrac{\dfrac{1000}{3375}}{0.5}

\\ \sf\longmapsto \dfrac{1000}{3375}\times \dfrac{10}{5}

\\ \sf\longmapsto \dfrac{2000}{3375}

\\ \sf\longmapsto 0.592

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Q = {1.7, 1.1, 1.4, 2.1, 2.3, s}. What is the absolute difference between the greatest and least possible values of the median o
Daniel [21]

Answer:

Absolute difference between the medians = 0.35

Step-by-step explanation:

After arranging Q in ascending order excluding s, we get

Q = {1.1, 1.4, 1.7, 2.1, 2.3}

Here, the median is 1.7 ( The middlemost value is the required median.)

Now, if s < 1.7,

Q= {1.1, s, 1.4, 1.7, 2.1, 2.3}

Now for the least value, median = 1.55

If s > 1.7,

Q = {1.1, 1.4, 1.7, 2.1, s, 2.3}

Now for the greatest value, median = 1.9

Absolute difference between the medians = |1.9 -1.55|

                                                                          = 0.35

6 0
3 years ago
#6,7. Fill in the blank. Then show or explain how your answer works.
nika2105 [10]
69 because yeahhhhhhhhh
5 0
2 years ago
Victoria moved into a new apartment and called to install her cable. They told her they charge $45 to install the cable box and
tiny-mole [99]

Answer:

y=45+60x

Step-by-step explanation:

Step one:

given data

The  charge is $45 to install the cable box and $60 for each month of service

Required

The linear expression for the situation.

Step two:

let the number of months be x and let the total charges be y

Hence the expression for the total charges is

y=45+60x

6 0
2 years ago
The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is dra
olga2289 [7]

Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

<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.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, these parameters are given as follows:

\mu = 180, \sigma = 20, n = 40, s = \frac{20}{\sqrt{40}} = 3.1623

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

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

By the Central Limit Theorem:

Z = \frac{X - \mu}{s}

Z = \frac{177.5 - 180}{3.1623}

Z = -0.79

Z = -0.79 has a p-value of 0.2148.

There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

More can be learned about the normal distribution at brainly.com/question/28135235

#SPJ1

5 0
2 years ago
Are 35° and -685° coterminal?
Naya [18.7K]

Answer:  YES

<u>Step-by-step explanation:</u>

Coterminal means they are located at the same place on the Unit Circle but are n-rotations clockwise or counterclockwise.

Start with 35° and continue to subtract 360° (which is one rotation) until you reach -685° or pass it.  If you reach -685°, then it is coterminal.  If you pass it, then it is not coterminal.

35° - 360° = -325°

                    -325° - 360° = -685°

So, -685° is 2 rotations counterclockwise to 35°, which means the two angles are coterminal to each other.

6 0
2 years ago
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