Answer:
65 babies
Step-by-step explanation:
Each hour has 60 minutes so 20 minutes would be divided by 3.
So 195 ÷ 3 is 65
Answer:
a = b = 1
Step-by-step explanation:
The triangles are similar thus ratios of corresponding sides are equal, that is
=
( cross- multiply )
10b = 10 ( divide both sides by 10 )
b = 1
and
=
( cross- multiply )
10a = 10 ( divide both sides by 10 )
a = 1
Thus a = 1 and b = 1
The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
<h3>
Answer:</h3>
c) 7π cm
<h3>
Step-by-step explanation:</h3>
The length of an arc (s) is related to its central angle (θ) and the radius of the circle (r) by ...
... s = rθ . . . . . . . . . θ in radians
Here, the central angle measures are given in "grads". There are 400 grads in a circle, so 200 grads in π radians. To convert grads to radians, we multiply the number of grads by π/(200g).
Then the lengths of the arcs are ...
... arc AB = (20 cm)·(50g·(π/(200g))) = 5π cm
... arc BC = (10 cm)·(40g·(π/(200g))) = 2π cm
E = arc AB + arc BC = 5π cm + 2π cm = 7π cm
Answer:
The null and alternative hypotheses are:


Under the null hypothesis, the test statistic is:

Where:
is the sample mean
is the sample standard deviation
is the sample size

Now, the right tailed t critical value at 0.05 significance level for df = n-1 = 10-1 = 9 is:

Since the t statistic is less than the t critical value at 0.05 significance level, therefore,we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the average phone bill has increased.