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Answer:

w² + 4w - 525 = 0

Width of rectangle = 21 feet

Length of rectangle = 25 feet

Step-by-step explanation:

Given:

Area of rectangular floor = 525 ft²

Find:

Equation

Dimensions of the floor

Computation:

Assume;

Width of rectangle = w feet

So,

Length of rectangle = w + 4 feet

Area of rectangular floor = length x width

Area of rectangular floor = w(w + 4)

525 = w² + 4w

w² + 4w - 525 = 0

w² + (25 - 21)w - 525 = 0

w² + 25w - 21w - 525 = 0

w(w + 25) -21(w + 25)

(w + 25)(w - 21)

So,

w = -25 , w = 21

So,

Width of rectangle = 21 feet

Length of rectangle = w + 4 feet

Length of rectangle = 21 + 4 feet

Length of rectangle = 25 feet

Answer:

B

Step-by-step explanation:

Trust

Answer:

-8

Step-by-step explanation:

four times two equals eight, positive times negative equals negative, so -8

Answer:

-8

Step-by-step explanation:

4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.

Answer:

a) 11.283 dollars

b) 1.435 hour

Step-by-step explanation:

1 kilo watt of electricity used for 1 hour

Charges of electricity per unit = $0.05224

Laura uses 5 heaters to warm her house. The electricity consumed by each use 1800 wats or 1.8 kilo wats

a) Charges in one day = 5 heaters * 1.8 kilo wats per hour * 24  hour* $0.05224 per kilowats per hour

= 11.283 dollars

b) 75 wat light bulb consumes 0.075 kilo wats per hour

Charge per kilowat per hour = $0.05224

In order to cost 1 $, the 75 wat bulb need to be on for 1.435 hour

Answer:

72 minutes

Step-by-step explanation:

You need to set up 2 fractions and set them equal to one another to be able to solve this.

Equation: 4km/18min = 16km/x min

You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.

Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.

Hope this was helpful!

Answer:

74.2

Step-by-step explanation:

First think of a whole circle. The area of a circle is pi*r^2., which is 81 pi. Then the fraction of the circle is 105/360. Times this by 81 pi and you get about 74.2 and that is the answer.

By the way, can you follow me? Thanks!

1 is greater that 2/5

1>2/5

Answer:

1 is a whole number (an integer) and 2/5 is a proper fraction

The solution set to the given system of inequalities is represented by the shaded region under the curve of f(x) = x^2 – 3 (including the points on the curve) and above the curve of g(x) = –x^2 + 2 (excluding the points on the curve). The overlapping region between these shaded areas represents the solution set to the system.

To graph the solution set to the system of inequalities y ≤ x^2 – 3 and y > –x^2 + 2, we can modify the graphs of f(x) = x^2 – 3 and g(x) = –x^2 + 2 accordingly. Here's how:

For the inequality y ≤ x^2 – 3:

The original graph of f(x) = x^2 – 3 is an upward-opening parabola with a vertex at (0, -3).

To graph y ≤ x^2 – 3, we need to shade the region below or on the parabola. This includes all points on the parabola itself.

Therefore, we shade the area under the curve of the original graph of f(x) and include the points on the curve.

For the inequality y > –x^2 + 2:

The original graph of g(x) = –x^2 + 2 is a downward-opening parabola with a vertex at (0, 2).

To graph y > –x^2 + 2, we need to shade the region above the parabola. This excludes all points on the parabola itself.

Therefore, we shade the area above the curve of the original graph of g(x) but exclude the points on the curve.

By modifying the graphs of f(x) and g(x) according to these shading instructions, we can graphically represent the solution set to the system of inequalities.

The solution set can be identified by observing the overlapping region or the intersection between the shaded area under the curve of f(x) and the shaded area above the curve of g(x). The points within this overlapping region satisfy both inequalities simultaneously.

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Answer:

3, 11, 15

Step-by-step explanation:

The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side

Answer:

Required inequalities:

The graph is attached.

The darker triangle is the solution region.

The solution examples:

Answer: 37 1/3 cm

Step-by-step explanation:

Area = Length times width

4 2/3 times 8 = 37 1/3

Answer:

Step-by-step explanation:

4 6/7

Answer:

7 inches

Step-by-step explanation:

56/8=7

Area/length=width

Answer:

10

8.4

5

Step-by-step explanation:

Answer:

The minimum sample size required is 461.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?

The minimum sample size required is n, which is found when M = 0.06.

We don't have an estimate for the true proportion, which means that we use [tex]\pi = 0.5[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.06\sqrt{n} = 2.575*0.5[/tex]

[tex]\sqrt{n} = \frac{2.575*0.5}{0.06}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2[/tex]

[tex]n = 460.5[/tex]

Rounding up

The minimum sample size required is 461.

Answer:

since they are alternate angles(equal)

4x-10=58

4x=68

x=17

Answer:

option 4

Step-by-step explanation:

(4x - 10) and 58 are alternate angles and are congruent, then

4x - 10 = 58 ( add 10 to both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Answer:

7t -8 true

Step-by-step explanation:

Answer:

Same!!!!!!!!!!!

Step-by-step explanation:

Answer:

mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor

Create a 90% confidence interval for the percentage of people the company contacts who may buy something.

Answer:

CI = (8.84%, 11.92%)

We are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.

Step-by-step explanation:

We are given;

n = 1060

x = 110

Confidence level = 90%

Sample proportion; p^ = x/n = 110/1060

p^ = 0.1038

DF = n - 1 = 1060 - 1 = 1059

From the table attached, the critical value for a confidence level of 90% at a DF greater than 1000 is 1.645

Formula for CI is;

CI = p^ ± t√(p^(1 - p^)/n)

CI = 0.1038 ± 1.645√(0.1038(1 - 0.1038)/1060)

CI = 0.1038 ± 0.0154

CI = (0.0884, 0.1192) or

CI = (8.84%, 11.92%)

Thus, we are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.

Answer:

its sampling distribution is centered exactly at the parameter it estimates.

Step-by-step explanation:

An unbiased estimator is an estimator that shows the correct statistic applied for the parameter of the population

Here correct represents that it should not be overestimated or underestimated. In the case when there is an underestimate or overestimate this means that there is a bias

So as per the given options the above option is correct

9514 1404 933

Answer:

  (c)  f(x) at (70, 55)

Step-by-step explanation:

The point (70, 55) is not on g(x), which increases from a minimum of 899.5. Obviously, 55 is less than 899.5, so f(x) at (70, 55) has a lower minimum.

Answer:

f(x) at (70, 55)

Step-by-step explanation:

I got it right on the test

Answer:

Step-by-step explanation:

Answer:

UV=7,-3

Step-by-step explanation:

Answer:

the mode is 12

Step-by-step explanation:

Arrange the numbers in order : 1 , 3, 6, 6, 9, 9, 12, 12, 12, 12, 12, 15, 15, 15, 15

Then count how many numbers that appears the most, so the number that appears the most is 12, therefore, the mode in the data set is 12 .

Answer:

Are you looking for the perimeter? if so it would be 34 yards

Step-by-step explanation:

9514 1404 393

Answer:

  100%

Step-by-step explanation:

The percentage change can be computed from ...

  pct change = ((new value)/(old value) -1) × 100%

  = ((1/2)/(1/4) -1) × 100%

  = (2 -1) × 100%

  = 100%

The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.