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oee [108]
3 years ago
11

A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their averag

e age is12. What is the age of the teacher?
Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

BaLLatris [955]3 years ago
5 0

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

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How do i find the greatest common factor of two numbers​
melamori03 [73]

Answer:

1)you find the least prime factors of each number

2)Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1

5 0
3 years ago
Find the equation of a line that passes through the given point<br>(-3,-4) and (2,11)
valentina_108 [34]

Answer:

y = 3x + 5

Step-by-step explanation:

The slope of this line is (11 - (-4)) /  (2 - (-3))

= 15/5 = 3

Now we use the point slope form of an equation:-

y - y1 = m(x - x1)

y - 11 = 3(x - 2)

y - 11 = 3x - 6

y = 3x + 5  (answer)

6 0
3 years ago
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
charle [14.2K]

Answer:

numbers are 24 and 210

Step-by-step explanation:

the number are : 24(2x2x2x3) and 210 (3x2x5x7)

GCF of 24 and 210 is 6

LCM of 24 and 210 is 840

7 0
3 years ago
Read 2 more answers
A clothing store has just advertised at a bargain price, that a customer tries on a t-shirt is 0.40. a new range of t-shirts. Th
AlexFokin [52]
<h2>Answer:</h2>

The probability that the customer did not try on the t- shirt is:

                             0.2432

<h2>Step-by-step explanation:</h2>

It is given that the probability that a customer tries a t-shirt is: 0.40

After he will try

The probability that he will buy the t-shirt is: 0.70

The probability that he will not try t-shirt is: 1-0.40=0.60

If he will not try

then the probability of buying a t-shirt is: 0.15

This means that the total probability of Buying a t-shirt is:

  0.40×0.70+0.60×0.15

= 0.37

It is given that the customer bought a t-shirt, we need to find the probability that he did not try the  t-shirt:

The probability is given by:

\dfrac{0.60\times 0.15}{0.37}\\\\\\=\dfrac{0.09}{0.37}\\\\\\=0.2432

4 0
3 years ago
a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the
horsena [70]

Answer:

The 95% confidence interval for the mean score is:

\mu ∈ (67.73,\ \ 84.67)

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is {\displaystyle {\overline {x}}}

Since the sample size is 27 then we use the  statistic  t_{\frac{\alpha}{2}}  with 27-1 = 26 degrees of freedom

The confidence interval for the mean is:

({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})

Where

{\displaystyle {\overline {x}}}=76.2 is the average score of the sample

S=21.4 is the standard deviation of the sample

n= 27 is the sample size

t_{\frac{\alpha}{2}} = 2.056 for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

(76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})

(76.2 + 8.467,\ \ 76.2 - 8.467)

\mu ∈ (67.73,\ \ 84.67)

7 0
3 years ago
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