Answer:
solution :
in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.
now ,
in rt angle tirangle ADC,
angleACD=45 degree, angle DAC=45 degree now,
in triangle ABD,
angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)
angle BAD+75+30=180
angle BAD=180-165 therefore,angle BAD=15
angle BAC =15+45=60
Area of triangle ABC=1/2×AB×AC×SIN 60
=1/2×10.2×14×√3/2
=61.83cm³ ans
B x H divided by 2 i think
$2,447.67 - $231.49 = <span>$2,216.18
</span>$2,216.18 + $36.61 = $2,252.79
her new balance is $2,252.79
Answer:
And we can find this probability with this difference and using the normal standard distribution
Step-by-step explanation:
Let X the random variable that represent the amount of Jen monthly phone of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And we can use the z score formula given by:
Replacing the info we got:
And we can find this probability with this difference and using the normal standard distribution
Answer:
p value from chi square = 0.081
Step-by-step explanation:
Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05
p value = 0.09
Instead of this if we do chi square
H0: Proportion of music lovers is 5% and non music lovers is 95%
Ha: Proportions are not as per the estimate
(Two tailed chi square test)
Observed 83 1917 2000
Expected 100 1900 2000
O-E -17 17 0
chi square
(O-E)^2/E 2.89 0.1521 3.0421
df =1
p value from chi square = 0.081
Though p value is not exactly the same, the conclusion in both tests are the same
