If the area of a rectangle is 16s2t and the length is 8st2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

Answers

Answer 1
Answer: so than divide area by length 

16s^2t         2s
----------- = --------  so from this result the width of rectangle will be equal 2s/t
8st^2             t

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Manuel created a factor tree and wrote the prime factorization of 60 shown below.60 ^ 4 15 ^ 3 5 What is Manuel’s error?
Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m^2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?Question 4 options: a) 14 m wide b) 13 m wide c) 12 m wide d) 11 m wide
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Please help me with this
Which equation can be used to find the nth term for the sequence 2, 5, 10, 17

Solve the system of equations​

Answers

Answer:

Step-by-step explanation:

You can solve it by substitution, by setting the first equation to y=1-x.

Replace the y in the equation by y=1-x.

4x + 3(1-x) = 8.

Distribute the 3.

4x + 3-3x = 8

Combine like terms.

x + 3 = 8

x =5

Plug 5 into y=1-x.

y=1-5

y= -4

The number of elements in the sample space of an event is equal to the total number of possible outcomes. A.True
B. False

Answers

Answer with explanation:

Meaning of Sample Space: Total number of Elements in an event when an experiment is done under same condition, several times and produce the same outcome every time.

For, example: Toss an Unbiased Coin, 100 or 1000 times, it will produce the same outcome every time which are Head and Tail.

Total Possible Outcome: Suppose In a Bag, there are 5 Red , 5 Green , and 6 Orange Color Balls.We want to draw a ball.So,Every time you draw a  ball from the bag, it will be either, Red, green or Yellow.So, total Possible outcome of balls in the bag, will be =5 Red +5 Green +6 Orange=16 Balls.

≡True Statement:⇒The number of elements in the sample space of an event is equal to the total number of possible outcomes.

What percent is 33 of 96?

Answers


1. We assume, that the number 96 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 96 is 100%, so we can write it down as 96=100%. 
4. We know, that x is 33% of the output value, so we can write it down as x=33%. 
5. Now we have two simple equations:
1) 96=100%
2) x=33%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
96/x=100%/33%
34, basically just divide 33 and 96

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.a)What are the values of the mean and standard deviation after converting all pulse rates of women to z-scores using z=(x−μ)/σ?


b)The original pulse rates are measured with units of "beats per minute." What are the units of the corresponding z-scores?

Answers

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

z=(x-\mu)/(\sigma) the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

Final answer:

Converting pulse rates into z-scores standardizes them into a standard normal distribution, yielding a mean of zero and a standard deviation of one. Z-scores are dimensionless and do not carry original physical units of measurement.

Explanation:

The question is asking about the properties of a z-score in the context of pulse rates of women. Here is the answer:

a) When converting to z-scores, regardless of the population parameters, the mean (μ) will always be 0 and standard deviation (σ) always 1. This conversion process is called standardization, which results in a standard normal distribution.

b) In the context of z-scores, the units are dimensionless. Because a z-score result is derived from a mathematical manipulation and not a direct measurement, it does not carry physical units like "beats per minute" in pulse rates. This characteristic enables us to make meaningful comparisons between different types of data.

Learn more about z-scores here:

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What number is 60% of 25?

Answers

Step 1. 60%= .60
Step 2. 25*.60= 15

OR

X/25 = 60/100
25*60=100X
1500=100x
x=1500/100
x=15
I like to use is=%*of so the is is x percent is .60 and of is 25 so you would set it up like
is=%*of
x=.60*25
.60*25=15

Which formula can be used to describe the sequence?-3, 3/5, -3/25, 3/125, -3/625

A. f(x) = -3(1/5)^x-1
B. f(x) = -3(1/5)^x-1
C. f(x) = -1/5(3)^x-1
D. f(x) = -1/5(-3)^x-1

Answers

each term is multiplied by -1/5
first term is -3

an=a1(r)^(n-1)
for a1=first term
r=common ratio
n=which term


in this case
first term=-3
common ratio is -1/5
so

f(x)=-3( (-1)/(5))^(x-1)

none of them
oh, A and B are the same
the one that has the -1/5 inside is the one

The one that has the -1/5 inside is the one.

each term is multiplied by -1/5.

The first term is -3

What is the formula for the sequence?

a_n=a_1(r)^((n-1))

for a_1=first term

r=common ratio

n=which term

In this case

The first term=-3

The common ratio is -1/5

so, f(x)=-3((-1)/(5) )^((x-1))

None of them A and B are the same

The one that has the -1/5 inside is the one.

To learn more about the sequence visit:

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