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Tanya [424]
3 years ago
12

A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the v

ariance?
Mathematics
2 answers:
drek231 [11]3 years ago
6 0

The second one is 29.4

kifflom [539]3 years ago
4 0
The variance is the total of the squared distances of the given data from the mean. 

This can be calculated through the equation,
        
                            σ² = summation of X² / N  - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

   summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
                          N = 5
                                        μ = (100 + 100 + 120 + 120 + 180) / 5
                                         μ = 124

Substituting these values to the equation for variance,
                                 
                              σ² = (81200/5) - 124² = 864

Thus, the variance is equal to 864. 
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ipn [44]

Answer:

angle A=52

Step-by-step explanation:

4 0
3 years ago
4
Mars2501 [29]

Answer:

The answer would be 98.

Step-by-step explanation:

You divide 700 by 50. Then multiply by 7.

5 0
2 years ago
What is the true solution to the equation below?
Naddik [55]
Yeeee

assuming your equaiton is
2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)


remember some nice log rules
log_a(b)=c translates to a^c=b
and
a^{log_a(b)}=b
and
xlog_c(b)=log_c(b^x)
and
ln(x)=log_e(x)
and
log(a)-log(b)=log(\frac{a}{b})
and
if log(a)=log(b) then a=b

so

we can simplify a bit of stuff here

the e^{ln(2x)} \space\ and \space\ the \space\ e^{ln(10x)} can be simplified to 2x \space\ and \space\ 10x

so we gots now

2ln(2x)-ln(10x)=ln(30)
ln((2x)^2)-ln(10x)=ln(30)
ln(4x^2)-ln(10x)=ln(30)
ln(\frac{4x^2}{10x})=ln(30)
same base so
\frac{4x^2}{10x}=30
\frac{2x}{5}=30
times both sides by 5
2x=150
divide both sides by 2
x=75
answer is x=75
5 0
3 years ago
A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
2 years ago
Rewrite using a single positive exponent. 3-6 -5​
yarga [219]

Answer:

1 \div {3}^{( 30)}

Step-by-step explanation:

There are exponent rules I posted above that are being used here.

We have (3^-6)^-5

Since we have a power times a power, we multiply 6 and 5 to get -30. Look at the first example in the photo.

So, we're left with 3^-30.

If you look at the photo, there's a rule for negative exponents.

Take the inverse of the base number, so 3 in this case:

1 / 3

and then make the exponent positive after taking the inverse.

So, we should get 1 / 3^30

Hope this helps!

3 0
2 years ago
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