Part 1. A hospital tracked the day of the week each baby was born and whether or not the delivery was scheduled in advance. The
following two-way table displays data for the sample of babies born in a particular year at that hospital.
In this sample, are the events "Tuesday" and "Friday" mutually exclusive?
A.) yes
B.) no
Part 2. Find the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday.
P(Tuesday OR Friday)=
In this sample, are the events "Tuesday" and "Friday" mutually exclusive?
A.) yes
B.) no
Part 2. Find the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday.
P(Tuesday OR Friday)=
2 answers:
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Answer:
The critical t values are -1.746 and 1.746.
Step-by-step explanation:
Given information:
The weight of a USB flash drive is 30 grams and is normally distributed.
Population mean = 30
Sample size = 17
Sample mean= 31.9
Standard deviation = 1.8
Significance level, α=0.10
Null hypothesis:
Alternative hypothesis:
It is a two tailed test.
The t-critical values for a two-tailed test, for a significance level of α=0.1 are -1.746 and 1.746.
Therefore the critical t values are -1.746 and 1.746.
Given:
m(ar KN) = 2x + 151
m(ar LN) = 61°
m∠NMK = 2x + 45
To find:
m∠NMK
Solution:
By property of circle:
<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>
Multiply by 2 on both sides, we get
Subtract 90 from both sides.
Subtract 2x from both sides.
Substitute x= 0 in m∠NMK.
m∠NMK = 2x + 45
= 2(0) + 45
= 45
Therefore m∠NMK = 45.