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densk [106]
3 years ago
15

HELP. A triangle is dilated by a scale factor of 2 and the area of the original figure is x units.

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer:

4x.

Step-by-step explanation:

If the scale factor is 2 then the area factor is 2^2 = 4.

So the area of the new triangle is 4*x.

You might be interested in
Claire is going to invest in an account paying an interest rate of 5.4% compounded daily. How much would Claire need to invest,
Delicious77 [7]

Answer:

P ≈ 100

Step-by-step explanation:

260 = P(1+0.054/365)^365(14)

260 = P(1.000147945)^5110

260= P(2.129621112)

P= 122.087444818

P ≈ 100

4 0
3 years ago
A. what is the probability that a service time is less than or equal to one minute (to 4 decimals)?
IRINA_888 [86]
The complete question says:
"Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark study, Wendy's average service time of 2.2 minutes was less than those of Burger King, Chick-fil-A, Krystal, McDonald's, Taco Bell, and Taco John's (QSR Magazine website, December 2014). Assume that the service time for Wendy's has an exponential distribution.

a. What is the probability that a service time is less than or equal to one minute (to 4 decimals)?"

The exponential distribution probability is given by the formula:

P(T  \leq  t) = 1 - e^{-\lambda t}

where: 

λ = average in unit time = 1/2.2 = 0.45 services per minute       

t = time requested = 1 minute

P(T  \leq 1) = 1 - e^{-0.45}

p(T ≤ 1) = 0.3624

Hence, <span>the probability that a service time is less than or equal to one minute is p = 0.3624, which means 36.24%.</span>


7 0
3 years ago
In a recent poll^1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753. Use stra
Annette [7]

Answer:

The 90% confidence interval is between a lower limit of 0.7306 and an upper limit of 0.7754.

Step-by-step explanation:

Confidence interval for a proportion is given as p +/- margin of error (E)

p is sample proportion = 753/1000 = 0.753

n is sample size = 1000

confidence level = 90%

critical value corresponding to 90% confidence level and infinity degree of freedom is 1.645

E = critical value×sqrt[p(1-p) ÷ n] = 1.645×sqrt[0.753(1-0.753) ÷ 1000] = 1.645×sqrt[1.85991×10^-4] = 1.645×0.0136 = 0.0224

Lower limit of proportion = p - E = 0.753 - 0.0224 = 0.7306

Upper limit of proportion = p + E = 0.753 + 0.0224 = 0.7754

90% confidence interval is (0.7306, 0.7754)

8 0
4 years ago
Darlene has a large fish tank in her room. Would
Verizon [17]

Answer:100 L-?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the domain of the function on the graph?
Dennis_Churaev [7]

Answer:

All real numbers greater than or equal to -3

Step-by-step explanation:

First look at graph where the line points to which direction of the graph

And look for any closed or open circles in the graph

Since in the graph has a close circle at (-3,-2) meaning it includes that x-value for its domain.

With the graph going to positive infinity it states that the domain is all real numbers.

So in conclusion it has a domain of all real numbers greater than or equal to -3

5 0
4 years ago
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