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3 years ago

The cube of the difference of a number and 4.

Mathematics

1 answer:

Ugo [173]3 years ago

5 0

It would be (N-4)^3.

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Please help me solve question 2

sergiy2304 [10]

Answer:

solution: ( 3 , 6 )

$\sf y =6$

$\sf x =3$

Step-by-step explanation:

$\sf y = \frac{2}{3} x+4$

$\sf 2x+3y = 24$

make y the subject in equation 2:

$\sf 2x+3y = 24$

$\sf 3y = 24-2x$

$\sf y = \frac{24-2x}{3}$

insert this in equation 1:

$\sf \frac{24-2x}{3} =\frac{2}{3} x+4$

$\sf \sf \frac{24-2x}{3} =\frac{2x+12}{3}$

$\sf (24-2x) = (2x+12)$

$\sf -2x-2x=12-24$

$\sf -4x=-12$

$\sf x =3$

solve for y:

$\sf y = \frac{24-2x}{3}$

$\sf y = \frac{24-2(3)}{3}$

$\sf y =6$

8 0

2 years ago

Read 2 more answers

2. A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh)

Brrunno [24]

Answer:

Step-by-step explanation:

Given that n =30, x bar = 375 and sigma = 81

Normal distribution is assumed and population std dev is known

Hence z critical values can be used.

For 95% Z critical=1.96

Margin of error = $1.96(\frac{81}{\sqrt{30} } )=29$

Confidence interval = 375±29

=(346,404)

B) 99% confidence

Margin of error = 2.59*Std error =38

Confidence interval = 375±38

=(337, 413)

C) For 90%

Margin of error = 20

Std error = 20/1.645 = 12.158

Sample size

$n=(\frac{81}{12.158} )^2\\=44.38$

Atleast 44 people should be sample size.

8 0

2 years ago

Which of the following graphs is a function

Pie

Answer:

Step-by-step explanation:

Hope this helps:)

7 0

3 years ago

Read 2 more answers

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-

lbvjy [14]

The diagonal of the tv screen is given by:
d = root ((w) ^ 2 + (h) ^ 2)
Where,
w: width
h: height
In addition we have the following relationship:
h / w = 8/15
Thus,
For the width:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
For the high:
d = root (((15/8) h) ^ 2 + (h) ^ 2)
Answer:
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
d = root (((15/8) h) ^ 2 + (h) ^ 2)

5 0

3 years ago

Helppp(◕દ◕)

Aleksandr-060686 [28]

Answer:

13 cm

Step-by-step explanation:

Use Pythagora's theorem to solve for the hypotenuse of the triangle:

$a^2+b^2=c^2$