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solmaris [256]
2 years ago
5

A rectangle has an area of 40,if the length and width are doubled. What is the new area ?

Mathematics
2 answers:
MrRissso [65]2 years ago
5 0

160

When you double both the length and width, you are multiplying by 2 twice. Whatever you do to one side of an equation, you have to repeat on the other.

l * w = 40; This is the original equation.

2l * 2w = 40 * 2 * 2; This is when you double the length and the width.

The 2 * 2 on the end can be simplified.

2l * 2w = 40 * 4

Now, simplify 40 * 4.

2l * 2w = 160

So, when you double both the length and the width, you multiply the area by 4, making the area 160.

sweet [91]2 years ago
4 0

Answer:

160

Step-by-step explanation:

e.g. 5×8 --> 10×16 =160

4×10 --> 8×20 =160

2×20 --> 4×40 =160

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A flower surrounds the base of a tree. It is in close by stones to form a circle that measures 21.98 feet around. What is the ra
Bumek [7]

(3.14)(21.98)(21.98)

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2

4 0
3 years ago
We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2
Aliun [14]

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

3 0
3 years ago
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
enot [183]

Answer:

(1,1)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
the same type of television is being sold at two different stores. store A is selling the television for $800, which is $120 mor
svlad2 [7]

Answer: the selling price of the television at store B is $1360

Step-by-step explanation:

Assuming the selling price of the television at store B is represented by $B. Store A is selling the television for $800, which is $120 more than half the cost of the television at store B. The equation representing this situation is expressed as

800 = B/2 + 120

Multiplying the left hand side and the right hand side of the equation by 2, it becomes

1600 = B + 240

B = 1600 - 240

B = $1360

5 0
3 years ago
Anthony deposited $14,000 with a bank in a 5-year certificate of deposit yielding 6% compounded daily. Find the compound amount
Mnenie [13.5K]

Answer:

Total = 14,000 * 1 + (.06 / 365) ^365*5

Total = 14,000 * 1.0.000164383561643836^1,825

Total = 14,000 * 1.3498255274

Total = 18,897.56

Step-by-step explanation:

8 0
3 years ago
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