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Anna11 [10]
3 years ago
10

Which of the following is equivalent to 36^-1/2

Mathematics
1 answer:
guapka [62]3 years ago
3 0

Step-by-step explanation:

{36}^{ -  \frac{1}{2} }  \\  \\  =  \frac{1}{ {36}^{  \frac{1}{2} } }  \\  \\  =   \frac{1}{ {( {6)}}^{  2 \times \frac{1}{2} } }  \\  \\  =  \frac{1}{ {{6}}}

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When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea
Furkat [3]
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient (_{7} ^{10}); in general a binomial coefficient is written by:
(_{k} ^{n})= \frac{n!}{k!(n-k)!}

In which n and k are positive integers, such that n\ \textgreater \ k.

So, for this problem:
(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120

Hence, there are 120 different ways to make the fruit salad.
5 0
2 years ago
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co
Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0
3 years ago
What is the slope of the line that passes through (-2, 5) and (3, 9)?
Naya [18.7K]

Answer: 4/5

Step-by-step explanation:

1. you need to know the formula which is m = y2-y1/x2-x1

2. you plug in the numbers which would be 9-5/3-(-2)

3. you get your answer as 4/5

4. the answer is 4/5

3 0
3 years ago
Read 2 more answers
The slope of the line below is -8/7 Write a point-slope equation of the line using the coordinates of the labeled point. (4,4)
Hitman42 [59]
undefined

3 0
1 year ago
Which expression is equivalent to (9x10z2)(x5y3)
MAVERICK [17]

Answer:

9x^15y^3z^2 is your answer

Step-by-step explanation:

8 0
3 years ago
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