All categories

3 years ago

Find the Perimeters of the rectangle whaledegonal is 5cm and lenght is 4cm

Mathematics

1 answer:

amid [387]3 years ago

3 0

Answer:

Step-by-step explanation:

First, we have to get the breadth value.

By the pythagoras theoreom,

Diagonal²=length² + breadth²

breadth = √( Diagonal²- length²)

breadth = √( 5² - 4²)

breadth = √9

breadth= 3

Perimeter of a rectangle = 2x ( length + breadth)

= 2 x ( 4 + 3)

= 2 x 7

= 14

You might be interested in

Please help thank youu

rodikova [14]

Y results from something being multiplied by x , and the values are always proportional to one another. Notice that putting these points into a ratio of x-value to y-value results in 1:3 as a simplified version. So, the constant of proportionality is what x is being multiplied by to get y . In this case, it is 3 . PLEASE MARK A THE BRAIN THINGY

8 0

3 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

3 years ago

Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w

cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

$Z = \frac{X - \mu}{\sigma}$

$-1.047 = \frac{X - 12}{1.2}$

$X - 12 = -1.047*1.2$

$X = 10.7436$

The cutoff sales level is 10.7436 millions of dollars

6 0

3 years ago

The minute hand of a clock turned

Firdavs [7]

Answer: 60

Explanation: The whole circle ( the clock ) is 360 degrees. I just did 360 divided by 6 because 10 minutes x 6 = 60 minutes. I don’t really know how to explain that part, I just know it. 360 divided by 6 is 60. I hope this helps. :)

4 0

3 years ago

Which point on the number line represents -1/3?

pshichka [43]

A represents it, since it’s on the negative side

4 0

3 years ago

Find the Perimeters of the rectangle whaledegonal is 5cm and lenght is 4cm ​

Find the Perimeters of the rectangle whaledegonal is 5cm and lenght is 4cm