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3 years ago

5

WILL GIVE BRAINLIEST

1 answer:

mariarad [96]3 years ago

3 0

Answer:

D

Step-by-step explanation:

A.P.E.X

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If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rect

ZanzabumX [31]

<span>Let y= original side So A = LW 60 = (y+15)(y-13) (y+15)(y-13) = 60 y^2 + 2y - 195 = 60 y^2 + 2y- 195 - 60 = 0 y = -17 or y= 15 Toss out the negative solution to get y= 15 as the only solution. So the square has a side length of 15 meters. The area of this square is 15^2 = 15*15 = 225 square meters.</span>

4 0

3 years ago

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

2 years ago

A car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft

lana66690 [7]

Answer:. 95.33 ft/sec

Multiply 65 by 5280 to get 343200 feet per hour. Then Divide by 3600. There are 60 minutes in an hour, and 60 seconds in a minute.

343200 ÷ 3600 = 95.333

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Total surface area of a cube is 1014cm^2. It's volume will be :

Karolina [17]

Answer:

Option A (2197 cm³)

Step-by-step explanation:

For a cube with length of each side "a" , it's

Total Surface Area = 6a²
Volume = a³

_____________________________________________

According to the question ,

Total Surface Area = 1014 cm²

Let the length of each side of cube be 'a'.

Using the formula ,

$6a^{2} =1014$

$=> a^{2} =\frac{1014}{6} = 169$

$=> a = \sqrt{169} = +13 \: or -13$

But length can't be negative . So , length of each side = 13 cm

∴ Volume of cube = 13³ = 2197 cm³

8 0

3 years ago

Let f(x)=3x+1 and g(x)=2x2−1<br> Find f(g(2))<br><br><br> 10<br><br> 22<br><br> 97<br><br> 28

kupik [55]

Answer:

f(g(2)) = 22

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Composition of functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

g(x) = 2x² - 1

<u>Step 2: Find g(2)</u>

Substitute: g(2) = 2(2)² - 1
Evaluate: g(2) = 2(4) - 1
Multiply: g(2) = 8 - 1
Subtract: g(2) = 7

<u>Step 3: Find f(g(2))</u>

Define: g(2) = 7
Rewrite: f(7)
Substitute: f(7) = 3(7) + 1
Multiply: f(7) = 21 + 1
Add: f(7) = 22

And we have our final answer!

6 0

2 years ago