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aleksley [76]
2 years ago
12

Janet and Nadia each play basketball, Nadia has won twice the number of games Janet has, Is it possible for Janet to have won 10

games if the sum of the games
Nadia and Janet have won together is 24?
Mathematics
1 answer:
Lapatulllka [165]2 years ago
4 0

Answer:

It is not possible for Janet to have won 10 games.

Step-by-step explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

So, let's check if it is possible for Janet to have won 10 games. Substitute  into the expression:

Therefore, it is not possible for Janet to have won 10 games.

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A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
dusya [7]
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190

Answer: first number is 190
3 0
2 years ago
3. A CD costs £9.50 in London and
adelina 88 [10]

Step-by-step explanation:

Only Q4 has clear details

therefore, solving Question 4,

1 euro = $1.17

then,  €20.46 =20.46×1.17 = $23.93.

1 pound =1.28 dollars.

then,  £12.60 = 12.60×1.28 =$16.128

therefore, MP3 in pound is cheaper in dollar by $7.81.

6 0
2 years ago
What is the smallest positive prime factor of 2017^2019 +2019^2017​
kogti [31]

Answer:

17

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
zoe and Hannah share tips in the ratio 3:7 last week zoe recived £24 how much did hannah recieve last week
VladimirAG [237]

Answer:

56

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th
Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)                                                  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28

99% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58

Putting the values, we get:

0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)

The​ 99% confidence interval for the true proportion of new cars with faulty catalytic converters is​ (0.185,0.375)

8 0
2 years ago
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