Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.
Basically the real one is 80 times the picture
80 times 3/4=80/1 times 3/4=240/4=60in=5ft
it is 5ft long or 60in
Answer:
<em>x = y = 64° , z = 20°</em>
Step-by-step explanation:
<em>x = y</em> = 
<em>= 64 </em>°
m∠ADC = 52° + x
m∠ADC = 52° + 64° = 116°
<em>z</em> = 180° - 116° - 44° <em>= 20</em> °
Answer:
Step-by-step explanation:
Let's first arrange it in ascending order :
340, 480, <u>560</u>, 680, 700
<u>560</u> is clearly the median.
Now add an additional score of 700 to the data :
340, 480, <u>560, 680</u>, 700 ,700
<u>560, 680</u> is separating both halves but is not the median
Median = (560+680)/2
= 1240 / 2
Median = 620
Probability that the first captain's first pick is a girl = 11/21
Probability that the first captain's second pick is a girl = 12/25
<span>the probability that the first captain will pick two girls before picking any boys = 11/21 x 12/25 = 132/525 = 44/175</span>
