14+x=84
x=70
The team lost 70 games.
84+70=x
154=x
The team played a total of 154 games.
Answer:
G
Step-by-step explanation:
Since there are 50 students being asked, to find a percentage, put the output (the number of students that chose each genre) and the input (the number of students asked all together) in ratio form as a fraction. You will get the fractions 10/50, 16/50, 20/50, and 4/50. Multiply each denominator by two to get the percentage. You will get 20/100, 32,/100, 40/100, and 8/100. If you look at the four answers provided, you can cross out J immediately because it shows that "Other" was the greatest percentage, when it is in fact the smallest. H can be crossed out as well, since the percentage for "Mystery" is over 20% when it should be exactly at 20%. F can be crossed out as well because it shows that "Other" takes up 10%, when it is actually a bit less, 8%. G is the best choice because the percentage that "Other" takes up is a bit less than 10%, so it's safe to say that it shows 8%.
Answer:
The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).
Answer:
\sqrt{6}
Explanation:
From the given diagram,
Hypotenuse sde = x
Opposite side = \sqrt{3}
Using the SOH CAH TOA identity
Sintheta = opposite/hypotenuse
Sin 45 = \sqrt{3}/x
x = \sqrt{3}/sin45
![\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csin%2045%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%5B%5D%7B2%7D%7D%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%5E%7B%7D%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is \sqrt{6}
Answer:
32 degrees fahrenheit
Step-by-step explanation:
