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Stels [109]
3 years ago
11

The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televis

ions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer: 3000 in^2

Explanation:

You might be interested in
You are hanging 3 display shelves with the same width on a wall so that there is 18 inches of space above each shelf for placing
Kazeer [188]

Answer:

You need to have a minimum of 16 inches of clearance.

Step-by-step explanation:

4 0
3 years ago
2/3 of 39<br><br> 3/4 of 24cm
wolverine [178]

Answer:

The answers would be

78/3

18

Step-by-step explanation:

To find them, simply treat the word "of" as if it means multiply.

2/3 * 39 = 78/3

3/4 * 24 = 18

5 0
3 years ago
3² +4² = 5²,
AlekseyPX

Answer:

They are all true

Step-by-step explanation:

1. 3² +4² = 5²

3x3 + 4x4 = 5x5

  9   +  16  =  25

25 = 25

-----------------------

2. 6² + 8² = 10²

36 + 64 = 100

100 = 100

------------------

3. 9² + 12² = 15²

81 + 144 = 225

225 = 225

-------------------

4. 5² +12² =13²

25 + 144 = 169

169 =169

-------------------

7 0
1 year ago
According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid var
-BARSIC- [3]

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : \sqrt{\frac{\sum(x-\bar{x})^2}{n}}

Standard deviation :\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :(10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

3 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLIEST AWARD FOR BEST EXPLAINED! PLEASE HELP
Arada [10]

Answer:

[1]

Given: (5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)

Remove the parenthesis, we get;

(5x^3 + 3x^2 - 7x + 10) - (3x^3-x^2+ 4x -1)

5x^3 + 3x^2 - 7x + 10- 3x^3 + x^2- 4x + 1

Like terms are the those terms with same variable and powers.

Combine like terms;

2x^3 + 4x^2 - 11x + 11

To write this polynomial in standard form, you write starting with the term with the highest degree, or exponent(i.e x^3), and then in decreasing order .

Standard form: 2x^3 + 4x^2 - 11x + 11

To, classify a polynomial by degree, you just look at the highest exponent, or degree.

Since, 3 is the highest degree (x^3), it is a cubic.

Now, classify a polynomial by the number of terms, count how many terms are in the polynomial( 2x^3 + 4x^2 - 11x + 11)

Number of terms: 4 (so this is polynomial)

[2]

Similarly,

for  (9w - 4w^2 + 10) + (8w^2 + 7 + 5w)

Remove the parenthesis, we get;

9w - 4w^2 + 10+ 8w^2 + 7 + 5w

Combine like terms; we have

14w + 4w^2 + 17

Standard form: 4w^2 + 14w + 17

Degree of the polynomial is, 2

Number of terms: 3 ( so, this is trinomial)



8 0
3 years ago
Read 2 more answers
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