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11111nata11111 [884]
3 years ago
10

Write an exponential function in the form y=ab^xy=ab

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

y=20(6)^x

Step-by-step explanation:

hello :

the graph passes through the point (0,20) : when x=0  and  y=20  :

20= ab^0    so a=20 because : b^0 = 1

the graph passes through the point (3,4320) : when x=3.  and  y=4320  : 4320= ab^3  but : a=20   so : 4320 = 20b^3

so : b^3 = 4320/20 = 216...... 216 =  6^3

b^3 = 6^3

b=6

the function is : y=20(6)^x

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Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of
Alekssandra [29.7K]

Answer:

Look below

Step-by-step explanation:

Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12

The shortest of B is 2

Find the scale factor of the A to B

6 -> 2

6/2 = 3

Scale factor is 3

Now divide all the sides by scale factor

6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4

Add them all together to get the perimeter

2+3+3+4 = 12

Perimeter of B is 12

5 0
3 years ago
Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s
Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is \mu=13.4 years and standard deviation is \sigma=1.7 years.

Sample size : n=40

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x=14

z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z

Hence, the required probability = 0.0129

6 0
3 years ago
Which answer shows 2.13786 times 10 Superscript 4 written in standard form?
ivolga24 [154]

Answer:

Answer:

21378.6

Step-by-step explanation:

You move the decimal point four places towards the right.

3 0
3 years ago
Read 2 more answers
A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
Butoxors [25]

Answer: = ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 65.3

Standard deviation r = 5.2

Number of samples n = 36

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

65.3 +/-1.645(5.2/√36)

65.3 +/-1.645(0.86667)

65.3+/- 1.4257

65.3+/- 1.4

= ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

4 0
3 years ago
What is 70 percent of 1872
uranmaximum [27]

Answer:

1310.4

Step-by-step explanation:

1872 x 0.7 = 1310.4

4 0
3 years ago
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