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iVinArrow [24]
3 years ago
5

The sum of the ages of ahsan and his mother is 61 years.The difference in their ages is 29 years.By forming a pair of simultaneo

us linear equations,find (i)ahsan's present age (ii)the age of ahsan's mother when ahsan is 21 years old
Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

(i). Ahsan's Present Age = 16

(ii). Age of Ahsan's Mother when ahsan is 21 years old = 50

Step-by-step explanation:

Let's say, x represents the age of ahsan.

y represents the age of his mother.

The system of equation from the date given is:

\begin{bmatrix}x+y=61\\ -x+y=29\end{bmatrix}

Solve them will get us:

x=16,\:y=45

Regards: Umer

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Which part of the roman republic was in charge of judging trials
aleksley [76]

Answer:

Praetors

Step-by-step explanation:

The praetors administered civil law and commanded provincial armies, and, eventually, began to act as chief judges over the courts.Praetors were part of the judicial branch, they were elected yearly by the people of Rome, and acted as judges.

3 0
3 years ago
In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
All four B points are equidistant from points A and C. Are they all midpoints of AC? Justify your answer.
Rina8888 [55]

Answer:

No

Step-by-step explanation:

For a point to be the midpoint of a line segment, it must bisect it into two equal segments and be on the line segment (hence, colinear with the endpoints). All four B points are equidistant from points A and C, but aren’t colinear with A and C. Therefore, they aren’t all midpoints of line segment AC.

I hope this helps! :)

5 0
3 years ago
Someone plz help me :(
jeka94

Answer:

Step-by-step explanation:

b

7 0
2 years ago
What is her answer ?
mihalych1998 [28]

Answer:

4

lolz sorry for a late answer bud

Step-by-step explanation:

7 0
3 years ago
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