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Burka [1]
4 years ago
15

What is the answer x[x+2(3x-7)]=22x-65​

Mathematics
1 answer:
Bezzdna [24]4 years ago
7 0
<h2>x[x+2(3x-7)]=22x-65</h2><h2>x[x+6x-14]=22x-65</h2><h2>x^2+6x^2=22x-65</h2><h2>8x^2=22x-65</h2><h2>8x^2-22x=-65</h2>
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It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
iogann1982 [59]

Answer:

2100 meters

Step-by-step explanation:

<u><em>REMEMBER: 1 km = 1000 m</em></u>

2.1 km x 1000= 2100 meters

hope this helps ;)

3 0
3 years ago
The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that \mu \ne  0.5025

The 95% confidence interval is 0.5045608 <  \mu  < 0.5046392

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is \= x =  0.5046 \ in

The population mean is \mu  =  0.5025 \ in

The null hypothesis is H_o  :  \mu =  0.5025

The alternative hypothesis is H_a  :  \mu \ne  0.5025

The test statistics is mathematically represented as

t =  \frac{0.5046 -  0.5025}{ \frac{0.0001}{\sqrt{25} } }

t =  105

So the p-value from the z-table is mathematically represented as

p-value  =  2 *  P( z >  105)

p-value  = 0.000

seeing that

p-value <  \alpha we reject the null hypothesis

The critical value of

\frac{\alpha }{2} obtained from the normal distribution table is

Z_{\frac{\alpha }{2} } =  1.96

The margin of error is mathematically represented as

E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }

=> E = 1.96 *\frac{0.0001}{\sqrt{25} }

=> E =3.92 *10^{-5}

The 95% confidence level is mathematically represented as

\= x  -  E  <  \mu  < \= x  + E

=> 0.5046  -  3.92 *10^{-5}  <  \mu  < 0.5046  +  3.92 *10^{-5}

=> 0.5045608 <  \mu  < 0.5046392

8 0
3 years ago
Who Washes? Erica and Aaron, who are siblings, have decided to use a lottery system to decide who will wash dishes every night.
Anestetic [448]

Given that Erica and AAron,are using lottery system to decide who will wash dishes every night.

They put some red and blue power chips and draw each one.  If same colour, Aaron will wash and if not same colours Erica will wash

If the game is to be fair, then both should have equal chances of opportunity for washing.

i.e. Probability for Erica washing = Prob of Aaron washing

i.e. P(different chips) = P(same colour chips)

Say there are m red colours and n blue colours.

Both are drawing at the same time.

Hence Prob (getting same colour) = (mC2+nC2)/(m+n)C2

Probfor different colour = mC1+nC1/(m+n)C2

The two would be equal is mC2 +nC2 = m+n

This is possible if mC2 =m and nC2 = n.

Or m = 2+1 =3 and n =3

That for a fair game we must have both colours to be 3.


3 0
3 years ago
Find the length of AC.
xeze [42]

Answer:

D. 8 cm

Step-by-step explanation:

Reference angle = 60°

Opposite side = BC = 8√3

Adjacent side = AC = ?

Thus:

Tan (60) = opp/adj

Tan (60) = (8√3)/AC

AC*Tan(60) = 8√3

Divide both sides by tan (60)

AC = (8√3)/Tan(60)

AC = (8√3)/√3 (tan 60 = √3)

AC = 8 cm

6 0
3 years ago
A fish tank can hold 190 liters of water. The tank has 154 liters of water in it already.
Ierofanga [76]

Answer:

it is 36 liters

Step-by-step explanation:

think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.

8 0
2 years ago
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