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pav-90 [236]
3 years ago
13

The sum of the digits of a two-digit number is 14. When the digits are reversed, the new numbers is 36 more than the original nu

mber. What is the original number?
Explain the steps please too.
Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

The number is 59

Step-by-step explanation:

Let the two digit number be qr.

According to question, q + r = 14

The digits that add to 14 are

1) 59

2) 68

3) 77

4) 86

5) 95

Now,

The reverse of qr is rq.

According to question, rq = 36 + qr

The digit qr cannot be 68,77,86 or 95 because adding 36 to it will result to 3 digit number.

So, qr is 59.

rq = 36 + qr

95 = 36 + 59

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Irina-Kira [14]

Answer:

8 square units

Step-by-step explanation:

x + 1 = 0

x = -1

x + 8 = 0

x = -8

Area = (-1) * (-8) = 8 square units

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7 0
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A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15.00 for any other services. Write a function
wolverine [178]
You have a fixed rate of $25, meaning you get a haircut, it's $25

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So, let's make the equation...

y=15x+25

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But, let's say you get a haircut+shampoo

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y=15(1)+25

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Another one..

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3 0
3 years ago
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando
Lisa [10]

Answer:

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

Step-by-step explanation:

m=\frac{S_{xy}}{S_{xx}}  

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833  

And the slope would be:  

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

5 0
3 years ago
Suppose that in a bowling league, the scores among all bowlers are normally distributed with mean µ = 182 points and standard de
exis [7]

Answer:

209 points

Step-by-step explanation:

Mean points scored (μ) = 182 points  

Standard deviation (σ) = 14 points

The z-score for any given game score 'X' is defined as:  

z=\frac{X-\mu}{\sigma}  

At, the 97th percentile of a normal distribution, the z-score, according to a z-score table, is 1.881.

Therefore, the minimum score, X, needed for a bowler to receive a trophy is:

1.881=\frac{X-182}{14}\\X=208.334

Since only whole point scores are possible, X=209 points.

3 0
3 years ago
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