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miskamm [114]
3 years ago
13

The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be one more than the r

eversed number. Find the number. (Number: 32 Reversed number: 23)
Mathematics
2 answers:
Anestetic [448]3 years ago
7 0

Answer:

37

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

Inessa [10]3 years ago
4 0

Answer:

Answer:

37

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

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Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0
3 years ago
Simplify the given expression below 4/3-2i
ANTONII [103]
So-called simplifying, really means, "rationalizing the denominator", which is another way of saying, "getting rid of that pesky radical in the bottom"


\bf \cfrac{4}{3-2i}\cdot \cfrac{3+2i}{3+2i}\impliedby \textit{multiplying by the conjugate of the bottom}
\\\\\\
\cfrac{4(3+2i)}{(3-2i)(3+2i)}\implies \cfrac{4(3+2i)}{3^2-(2i)^2}\implies \cfrac{4(3+2i)}{3^2-(4i^2)}\\\\
-------------------------------\\\\
recall\qquad i^2=-1\\\\
-------------------------------\\\\
\cfrac{4(3+2i)}{3^2-(4\cdot -1)}\implies \cfrac{4(3+2i)}{9+4}\implies \cfrac{12+8i}{13}\implies \cfrac{12}{13}+\cfrac{8}{13}i
4 0
3 years ago
Read 2 more answers
How many degrees and in what direction was the figure rotated?
Deffense [45]

Answer: 90 degrees clockwise

Step-by-step explanation:

5 0
3 years ago
Use the coordinates of the labeled point to find a point-slope equation of the line.
DerKrebs [107]

Answer:

(-2,-5) (0,-1)

(-1+5)/(0+2)= 4/2= 2

y + 5 = 2(x + 2)

y + 5 = 2x + 4

y = 2x - 1

Step-by-step explanation:

8 0
3 years ago
What is 30% discount of £9.50
Tems11 [23]
30% discount of £9.50 is £2.85
in order to find out the answer you times 30 by £9.50 and you get 285 and then you divide the answer by 100 and you get £2.85
3 0
4 years ago
Read 2 more answers
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