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3 years ago

I need help with the number 27 and 28

Mathematics

1 answer:

Cloud [144]3 years ago

5 0

i dont really know sorry

Step-by-step explanation:

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A survey finds that 55 people out of 170 favor increasing property taxes to help pay for a new library. If this data is used to

Aloiza [94]

Answer: B. 0.036

Step-by-step explanation:

Formula for standard error :

$SE=\sqrt{\dfrac{p(1-p)}{n}}$

, where p = Population proportion and n= sample size.

Let p be the population proportion of the people who favor new taxes.

As per given , we have

n= 170

$p=\dfrac{55}{170}\approx0.324$

Substitute these values in the formula, we get

$SE=\sqrt{\dfrac{0.324(1-0.324)}{170}}\\\\=\sqrt{0.00129}\\\\=0.0359165699921\approx0.036$

Hence, the standard error of the estimate is 0.036.

∴ The correct answer is OPTION B. 0.036

8 0

4 years ago

Which equation is represented by the intersection of the graphs below? Image is above.

zaharov [31]

Option B:

sin x = 1 is the equation represented by the intersection of the graph.

Solution:

The graph lies between -1 and 1 in y-axis.

x-axis of the graph is all real numbers.

The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.

That is the domain of the graph is all real numbers.

The range of the graph is [-1, 1].

It clearly shows that, it is the graph of sinx = 1.

Hence sin x = 1 is the equation represented by the intersection of the graph.

Option B is the correct answer.

3 0

3 years ago

If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

Lapatulllka [165]

Answer:

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

$m = \frac{dy}{dx} = x(y-1)$

m = -2( 3-1) = -4

Given point x = -2

y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

$y - y_{1} = m(x-x_{1} )$

$y -3 = -4(x-(-2))$

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

3 0

3 years ago

Pete can buy daffodil bulbs in packages of 3 for $6.39 or in packages of 2 for $4.40. How much money does he save by buying 30 b

tatyana61 [14]

Answer:

The correct answer is Pete saves $2.10 by buying bulbs in packages of 3 for $6.39 each.

Step-by-step explanation:

Pete can buy daffodil bulbs in packages of 3 for $6.39 or in packages of 2 for $4.40.

He needs to buy 30 bulbs at a better price.

Money spent by buying bulbs in packs of 3 = 10 × 6.39 = $63.90.

Money spent by buying bulbs in packs of 2 = 15 × 4.40 = $66.

Money saved if bought in packs of 3 = 66 - 63.90 = $ 2.10.

Thus Pete should buy 30 daffodil bulbs in packages of 3 and save $2.10.

7 0

3 years ago

WHICH IS EQUIVALENT TO A divided by 2 2A 1/2 A 2/A A/2

Bess [88]

A/2
1/2 A

Hope this helps!

8 0

3 years ago