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Fynjy0 [20]
3 years ago
14

6. Write the following multiplications as exponential abbreviations.

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

6. A= 5^2      B= 7^4     C=2^3    D=9^5

7. A= i dont know           B= i dont know         C=5*5*5   D=i dont know

Step-by-step explanation:

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Aiden has a loyalty card good for a 20% discount at his local grocery store. What would his total in dollars and cents be, after
JulsSmile [24]

Answer:

$20.60

Step-by-step explanation:

25.75x20%=5.15

25.75-5.15=20.60

6 0
2 years ago
Read 2 more answers
B)When ABCD is drawn to scale, would
never [62]

Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by

2(45)+90=180⁰ ✔

or 3(45)+45=180⁰✔

this would not be the case if it wasn't parallel

Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles

7 0
1 year ago
With a height of 68 ​in, Nelson was the shortest president of a particular club in the past century. The club presidents of the
Ivahew [28]

Answer:

a. The positive difference between Nelson's height and the population mean is: \\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in.

b. The difference found in part (a) is 1.174 standard deviations from the mean (without taking into account if the height is above or below the mean).

c. Nelson's z-score: \\ z = -1.1739 \approx -1.174 (Nelson's height is <em>below</em> the population's mean 1.174 standard deviations units).

d. Nelson's height is <em>usual</em> since \\ -2 < -1.174 < 2.

Step-by-step explanation:

The key concept to answer this question is the z-score. A <em>z-score</em> "tells us" the distance from the population's mean of a raw score in <em>standard deviation</em> units. A <em>positive value</em> for a z-score indicates that the raw score is <em>above</em> the population mean, whereas a <em>negative value</em> tells us that the raw score is <em>below</em> the population mean. The formula to obtain this <em>z-score</em> is as follows:

\\ z = \frac{x - \mu}{\sigma} [1]

Where

\\ z is the <em>z-score</em>.

\\ \mu is the <em>population mean</em>.

\\ \sigma is the <em>population standard deviation</em>.

From the question, we have that:

  • Nelson's height is 68 in. In this case, the raw score is 68 in \\ x = 68 in.
  • \\ \mu = 70.7in.
  • \\ \sigma = 2.3in.

With all this information, we are ready to answer the next questions:

a. What is the positive difference between Nelson​'s height and the​ mean?

The positive difference between Nelson's height and the population mean is (taking the absolute value for this difference):

\\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in.

That is, <em>the positive difference is 2.7 in</em>.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

To find how many <em>standard deviations</em> is that, we need to divide that difference by the <em>population standard deviation</em>. That is:

\\ \frac{2.7\;in}{2.3\;in} \approx 1.1739 \approx 1.174

In words, the difference found in part (a) is 1.174 <em>standard deviations</em> from the mean. Notice that we are not taking into account here if the raw score, <em>x,</em> is <em>below</em> or <em>above</em> the mean.

c. Convert Nelson​'s height to a z score.

Using formula [1], we have

\\ z = \frac{x - \mu}{\sigma}

\\ z = \frac{68\;in - 70.7\;in}{2.3\;in}

\\ z = \frac{-2.7\;in}{2.3\;in}

\\ z = -1.1739 \approx -1.174

This z-score "tells us" that Nelson's height is <em>1.174 standard deviations</em> <em>below</em> the population mean (notice the negative symbol in the above result), i.e., Nelson's height is <em>below</em> the mean for heights in the club presidents of the past century 1.174 standard deviations units.

d. If we consider​ "usual" heights to be those that convert to z scores between minus2 and​ 2, is Nelson​'s height usual or​ unusual?

Carefully looking at Nelson's height, we notice that it is between those z-scores, because:

\\ -2 < z_{Nelson} < 2

\\ -2 < -1.174 < 2

Then, Nelson's height is <em>usual</em> according to that statement.  

7 0
3 years ago
Complete the table for the given rule
irinina [24]

Answer:

see explanation :)

Step-by-step explanation:

y = − x − 4

is in the slope-intercept form for a linear equation,  

y = m x + b , where  m  is the slope and  b  is the y-intercept. In the given equation,  

m = − 1  and  b = − 4 .


Ordered Pairs

x ... ... . . y

4 ... . − 8

2 ... . − 6

0 ... . − 4

− 2 . ...− 2

− 4 ... . . 0

7 0
3 years ago
Read 2 more answers
Does anyone know the answer
matrenka [14]

Answer:

G

Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.

At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.

Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.

Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:

1.025 = (1 + 0.025) = 100% + 2.5%

Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.

So G is your answer.

8 0
3 years ago
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