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Yakvenalex [24]
3 years ago
5

A television with a 5:4 screen shows an image with a ratio of 25:12 which creates a letter boxed image. What percent of the scre

en's area is occupied by the image?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer:75%

Step-by-step explanation:

You know that the ratio of the television's screen is  . This ratio can be also written as the following fraction:

The television shows an image with a ratio of  which can be also written as a fraction:

Set up the following proportion and solve for "x":

Now, in order to find the percent of the screen area occupied make the following division:

Step-by-step explanation:

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An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

6 0
3 years ago
Unit test<br> Evaluate the following expression.<br> Sum<br> 2+1x2<br> ng de<br> racting
DIA [1.3K]

Answer:

  • 2+7∛³≡34543.8947924

Step-by-step explanation:

3 0
3 years ago
Find the percent of decrease if 110 is decreased to 88 A) 125% B)80% C)20%
stich3 [128]

Hey there! I'm happy to help!

We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.

110-110p=88

We subtract 110 from both sides.

-110p=-22

We divide both sides by 110.

p=0.2

Therefore, the percent decrease is C) 20%.

Have a wonderful day! :D

4 0
3 years ago
Read 2 more answers
Quick multiple choice question. I will award brainliest
larisa [96]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Jorgensens, an Electronics
pshichka [43]

Answer: 0.3399

Step-by-step explanation:

The binomial probability distribution formula to find the probability of getting success in x trial:-

P(x)=^nC_xp^x(1-p)^{n-x}, where n is the number of trials and p is the probability of getting success in each trial.

Given : Jorgensens received a shipment of 12 DVD Players. Shortly after arrival the  manufacturer called to say that that he had accidentally shipped  five defective units with the shipment.

i.e. The proportion of the defective units : p=\dfrac{5}{12}\approx0.417

Also, Mr. Jorgensen pulled ten of the units and tested two of them.

For n=2, the  probability that neither of them was defective:-

P(x=0)=^{2}C_0(0.417)^0(1-0.417)^{2}\\\\=(1)(1)(0.583)^{2}\ \ \ [\text{ Since}^nC_0=1]\\\\=0.339889\approx0.3399

Hence, the  probability that neither of them was defective = 0.3399

3 0
3 years ago
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