Answer:
Step-by-step explanation:
There are 24 marbles in the bag.
So,
There are 17 marbles that are either white and green.
Therefore,
"the probability of drawing a white marble" is 9/24
=0.375 or approximately as 37.5%.
Probability of drawing first white marble from the bag.
Now,
"The probability of drawing a green marble" is 8/24
=0.333 or approximately as 33.3%.
Probability of drawing a green marble.
Let us write vertices of the given rectangle are PQRS.
Where Q is (c,d) and S is (a,b).
a) Now, we need to find the coordinates of P and R points.
x-coordinate for P is a and y-coordinate of P is d.
<h3>Therefore P is (a,d).</h3>
On the same way, x-coordinate for R is c and y-coordinate of R is b.
<h3>Therefore R is (d,b).</h3>
b) <em>Width of the rectangle is difference of y-coordinates of P and S points</em>.
<h3>Therefore, width = b - d.</h3>
Answer:
11
Step-by-step explanation:
sorry if I got it wrong but from what I understand it is 11
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
x= morning
y = afternoon
x + y = 10
x=10-y
5x + 6y =57
5(10-y) +6y =57
50-5y +6y =57
y=7
x=10-7 =3
check 3*5 = 15, 7*6 = 42, 42 + 15 = 57
3 morning practices
