First, convert your mixed numbers into improper fractions, so 8+3/8=69/8 and 2+1/3=7/3. Now you have 69/8=r-(7/3). Now, add 7/3 to both sides, so (69/8)+(7/3)=r. Now, just add your fractions, so (69/8)+(7/3)=207/24+56/24=(207+56)/24=263/24. If you need to, this can be converted back into the mixed number 10+23/24.
Answer:
Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
Step-by-step explanation:
Given:
Cos(45° - 60°)
We have to apply the formula of cosine for difference of the two angles.
Formula:
Plugging the values.
⇒ 
We know that the values :
and 
So,
⇒ 
⇒ 
⇒ 
⇒ 
...<em>rationalizing </em>
⇒ 
⇒ 
...<em>taking 2 as a common factor</em>
<em>⇒ </em>
To find the exact values we have to put the values of sq-rt .
As<em>, </em>
and 
Then
<em>⇒ </em>
<em />
<em>⇒ </em>
<em />
⇒ 
So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
Answer: the predictive value positive of the test is 0.7
Step-by-step explanation:
Given that;
Predicted
Diesease No-Diesease Tt
Actual Diesease 225 75 300
No-Diesease 25 175 200
250 250 500
so finding the predictive value positive of the test,
predictive negative value = (175 / (75+175) )
= 175 / 250
= 0.7
Therefore the predictive value positive of the test is 0.7
Answer: 3 apples left
65 devided by 5 13
13-10
Step-by-step explanation:
