Easy Math Question: Will Upvote!<br><br> (73) + (6x+4) + (8y-7) =180<br><br> Solve for X

Chris buys copies of Sunday's newspaper for $1.50 each. He plans to sell them for $2.20 each. What is the approximate percent in

Igoryamba

Answer:

47 %

Step-by-step explanation:

from 1.50 to 2.20 there's a 46.67 increase. to the nearest whole number that's 47%

percent increase formula

% increase = 100 x (final - initial) / absolute value of initial

8 0

3 years ago

A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal,

eduard

Answer:

a) Sample size = 822

b) Margin of error = 0.03407

Step-by-step explanation:

We are given the following in the question:

p = 74% = 0.74

a) Sample size is required to obtain margin of error of 0.03

Formula:

$\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.03 = 1.96\times \sqrt{\dfrac{0.74(1-0.74)}{n}}\\\\n = (\dfrac{1.96}{0.03})^2(0.74)(1-0.74)\\\\n = 821.24 \approx 822$

Thus, the sample size must be approximately 822 to obtain a 95% confidence interval with an approximate margin of error of 0.03

b) Margin of error for the 95% confidence interval

p = 54% = 0.54

Formula:

$\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$\text{Margin of error} = 1.96\times \sqrt{\dfrac{0.54(1-0.54)}{822}}\\\\=0.03407$

The margin of error now will be 0.03407.

5 0

3 years ago

Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on

FrozenT [24]

Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side.

Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

x = 23.43 - 0.781y- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

2.513y = 23.43

y = 23.43/2.513

y = 9.3

x = 1.732y = 1.732 × 9.3

x = 16.1 m

6 0

4 years ago

A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?

Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = $\frac{1}{8}$ cup

∴ 2 oz = 2 × $\frac{1}{8}$ = $\frac{2}{8}$ = $\frac{1}{4}$ cup

∴ The rate of the water leak out = $\frac{1}{4}$ cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒ cups : hours

⇒ $\frac{1}{4}$ : 1

⇒ x : 336

- By using cross multiplication

∴ x = 336 × $\frac{1}{4}$

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0

4 years ago

If Δ C A T ≅ Δ D O G, which statement must be true?

Rom4ik [11]

Answer:

Step-by-step explanation:

$\triangle CAT\cong\triangle DOG\\\\\text{Therefore:}\\\\\angle C\cong\angle D\\\angle A\cong\angle O\\\angle T\cong\angle G\\CA\cong DO\\CT\cong DG\\AT\cong OG$

4 0

4 years ago

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Easy Math Question: Will Upvote! (73) + (6x+4) + (8y-7) =180 Solve for X