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3 years ago

Define your variable and write an equation that models the cost of each bracelet. X

2 answers:

6 0

Work

<span>X is the price of bracelet

8x + 6 = 54
8x = 54 - 6
8x = 48
x = 48/8
x = 6

Answer

the bracelet cost $6</span>

ipn [44]3 years ago

6 0

Each bracelet should cost 6 dollars.

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Find the surface area of the pyramid shown to the nearest whole number.

Snezhnost [94]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Surface area of a pyramid =

area of base + area of triangular faces

Since it's a square based pyramid

It's surface area is

area of base + 4( area of one triangular face)

Since the square has equal sides

<u>For square base </u>

Area of a square = l²

where l is the length

From the question l = 5

So we have

Area of square base = 5² = 25ft²

<u>For one of the triangular face</u>

Area of a triangle = ½ × base × height

base = 5

height = 6

Area = ½ × 5 × 6 = 15ft²

So the surface area of the pyramid is

25 + 4(15)

= 25 + 60

We have the final answer as

<h3>Surface area = 85 ft²</h3>

Hope this helps you

7 0

3 years ago

Compete the equatuon descibing how x and y are related

Minchanka [31]

I honestly don’t even know how to explain this- but ik that 3 should be alright to type in bc if you were to write it on a graph you would move 1 unit to the right and 3 units up from there based on the coordinates after the origin (0,0).

4 0

3 years ago

suppose a sample of 1305 tenth graders is drawn. Of the students sampled, 1044 read above the eighth grade level. Using the data

Inessa05 [86]

Answer: $(0.771,\ 0.829)$

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Sample size : n=1305

The proportion of tenth graders read above the eighth grade level. = $p=\dfrac{1044}{1305}=0.8$

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.8\pm(2.576)\sqrt{\dfrac{0.8(1-0.8)}{1305}}\\\\\approx0.8\pm0.029\\\\=(0.771,\ 0.829)$

Hence, the 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.771,0.829) .

4 0

3 years ago

A real estate company would like to see if the average sale price of townhouses in a particular school district has changed in t

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

H:0 µ = 280000

For the alternative hypothesis,

H1: µ ≠ 280000

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 280000

x = 294365

σ = 22898

n = 36

z = (294365 - 280000)/(22898/√36) = 3.76

b) Since α = 0.05, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.05/2 = 0.025

The z score for an area to the left of 0.025 is - 1.96

For the right, α/2 = 1 - 0.025 = 0.975

The z score for an area to the right of 0.975 is 1.96

In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96

Therefore, the rejection regions are area to the left of - 1.96 and to the right of 1.96 on the normal distribution curve.

The calculated test statistic is 3.76 for the right tail and - 3.76 for the left tail

c) Since - 3.76 < - 1.96 and 3.76 > 1.96, we would reject the null hypothesis.

3 0

3 years ago

The cost, C, in United States Dollars ($), of cleaning up x percent of an oil spill along the Gulf Coast of the United States in

kherson [118]

Complete Question

On the uploaded image is a similar question that will explain the given question

Answer:

The value of k is $k = 214285.7$

The percentage of the oil that will be cleaned is $x = 80.77\%$

Step-by-step explanation:

From the question we are told that

The cost of cleaning up the spillage is $C = \frac{ k x }{100 - x }$ $x \le x \le 100$

The cost of cleaning x = 70% of the oil is $C = \$500,000$

Now at $C = \$500,000$ we have

$\$ 500000 = \frac{ k * 70 }{100 - 70 }$

$\$ 500000 = \frac{ k * 70 }{30 }$

$k = 214285.7$

Now When $C = \$900,000$

$x = 80.77\%$

5 0

3 years ago