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algol13
3 years ago
12

Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27

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

Answer: B) 1/9, 3, 27

Step-by-step explanation:

Here, we need to evaluate 3^x for x = -2, x = 1, \text{ and } x = 3.

So, we substitute values of x in the given function.

At x= -2, we have

3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}]

At x= 1, we have

3^1=3

At x= 3

3^3=3\times3\times3=27

So, the values of  3^x for  

Thus, the correct answer is B) 1/9, 3, 27

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Deloria says she can find the relative frequency of nuts based on another relative frequency. What might she be doing?
forsale [732]

Answer:

frequency of nuts based on another relative frequency. What might

she be doing

nuts:3/30=15%

3 0
3 years ago
A researcher records the odometer reading and age of used Hondas. What kind of correlation is likely to be obtained for these tw
tresset_1 [31]

Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.

  • When two variables are direct proportional, that is, both increase together, there is a <em>strong positive correlation.</em>

In this problem, <u>the older the car</u>, the more it should have traveled, that is, the <u>higher the read on the odometer</u>, hence, there is a <em>direct proportional</em> relationship, which means that the variables have a strong positive correlation.

A similar problem is given at brainly.com/question/15468813

5 0
3 years ago
The bakers at Healthy Bakery can make 270 bagels in 10 hours. How many bagels can they bake in 15 hours? What was the rate per h
Tcecarenko [31]

Answer:

405 bagels 27 an hour

Step-by-step explanation:

this is because when you divide 270 by 10 you get 27 which is how much per hour then multiply the # of bagels and the # of hours you get is 405. In other words you first want to know how many bagels it took to get to 270 bagels in 10 hours.Hope it helped.

7 0
3 years ago
Find the value of x. *BRAINLIEST*<br><br> A. 10<br> B. 8.3<br> C. 7<br> D. 5
bekas [8.4K]
3x-5 is a midline of that triangle so:

3x-5=\dfrac{1}{2}\cdot20\\\\\\3x-5=10\\\\3x=15\quad|:3\\\\\boxed{x=5}

Answer D.
3 0
3 years ago
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan
Galina-37 [17]

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15

<u><em>Step(ii):</em></u>-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

7 0
3 years ago
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