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shusha [124]
2 years ago
6

Can you solve them with points to plot thank you

Mathematics
1 answer:
BigorU [14]2 years ago
8 0

I have solved the first one. Hope this helps

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A rectangle has perimeter 92 cm and length 39 cm. What is its width?
Alik [6]
The answer:
The width is 7cm
7 0
2 years ago
Read 2 more answers
Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, wit
Nana76 [90]

Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is n\mu and the standard deviation is s = \sigma\sqrt{n}

60 days, for each day, mean 6, variance of 12.

So

\mu = 60*6 = 360

s = \sqrt{12}\sqrt{60} = 26.8328

What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

-0.675 = \frac{X - 360}{26.8328}

X - 360 = -0.675*26.8328

X = 341.902

Thus, the correct answer is given by option A.

3 0
2 years ago
Which expression is equivalent to the square root of 1/8
irina1246 [14]
When you say "which," it sounds like it should be multiple choice. Anyways, here's the simplified form of \sqrt{\frac{1}8}}

\sqrt{\frac{1}8}} = \frac{\sqrt{1}}{\sqrt{8}} = \frac{1}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}=\boxed{\frac{\sqrt{8}}8}

(When simplifying fractions, you should <em>never</em> have a square root on the bottom. Multiply by the square root to cancel it out)
4 0
3 years ago
What is the surface area of the square pyramid represented by the net? 9 m Enter your answer in the box 6 m 9m 6 m 9 m m 9 m​
Darya [45]

Answer:

144

Step-by-step explanation:

On this shape we are going to splt up the 4 triangles for the square to make it simple.

So, firstly, plug is the h an w of one of the triangles into the formula for the area of a triangle which is hxw/2

H=9

W=6

9x6/2=27

Then multiply the area of the triangle, 27, to get the total area of all 4 triangles (since they all have the same measurements)

27x4=108

108 is the area of all 4 triangles

Next, just put the l and w into the equation for the area of a square which is lxw

L=6

W=6

6x6=36

36 is the area of the square

Lastly, just add the areas of the triangles and the square together

108+36=144

144 is the total area/surface area, of the pyramid

5 0
2 years ago
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
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