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kupik [55]
3 years ago
9

Subtraction is a commutative operation. When writing an expression for the difference of two numbers, it does not matter what or

der the numbers are in.
a. True
b. False
Mathematics
2 answers:
Mice21 [21]3 years ago
7 0
A.True they can be switched around
Free_Kalibri [48]3 years ago
5 0

the answer is FALSE

not true at all.

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The vertex form of the equation of a parabola is y= 3(x - 4)^2 -22. What is the standard form of the equation
Sunny_sXe [5.5K]

Answer:

option A

Step-by-step explanation:

We can find the standard form by expanding the equation:

y = 3(x-4)^2 - 22

y = 3(x^2 - 8x + 16) - 22

y = 3x^2 - 24x + 48 - 22

y= 3x^2 - 24x + 26

So the correct option is option A

8 0
3 years ago
Read 2 more answers
Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t
musickatia [10]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

8 0
3 years ago
A, B, and C are the vertices of one triangle. D, E, and F are the vertices of another triangle. m∠A = 50, m∠B = 10, m∠E = 40, m∠
adell [148]
The fourth one seems like its the right one 
3 0
3 years ago
Caroline resting heart is 52 beats per minute (bpm). When she starts running her heart rate increases 1.25% each second until it
horsena [70]

Answer:74.55 beat per minute

Step-by-step explanation:

Given

Heart beat is 52 beat per minute

i.e. B=\frac{52}{60} beat per sec

If heart rate is increases 1.25 % each sec

suppose B is the heart beat at first second therefore heat beat at 2 nd second

B_2=B+1.25 \% B

B_2=B(1+1.25 \% )

For 3 rd sec

B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)

B_3=B(1+1.25\%)^2

similarly for 3 sec

B_{30}=B(1+1.25\%)^{29}

B_{30}=1.433B

B_{30}=1.242\ \text{beat per second }

B_{30}=74.55\ \text{beat per minute}

4 0
3 years ago
What's the square root of 25 ​
Vitek1552 [10]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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