Answer:
<em>x = 2.5</em>
Step-by-step explanation:
- 2x - ( - 5 - 4x ) = - 5 ( 2x - 7 )
- 2x + 5 + 4x = - 10x + 35
- 2x + 5 + 4x = - 10x + 35
- 2x + 4x + 10x = 35 - 5
12x = 30
<em>x = </em><em> = 2.5</em>
Check the answer:
<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>
<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>
Answer:
<u>188 children</u> and <u>145 adults</u> were admitted in the park.
Step-by-step explanation:
Given:
The admission fee at an amusement park is $1.50 for children and $4 for adults.
Total $862 collected on a certain day when 333 people enter the park.
Now, to find the children and adults admitted in the park.
<u><em>Let the number of children admitted be </em></u><u><em /></u>
<u><em>And the the number of adults admitted be </em></u><u><em /></u>
So, the total people enter the park:
Thus, the total amount collected of the admission fee:
Substituting the value of from equation (1):
<u><em>Thus, the number of adults = 145.</em></u>
Now, to get the number of children by substituting the value of in equation (1) we get:
<u><em>Hence, the number of children = 188.</em></u>
Therefore, 188 children and 145 adults were admitted in the park.
Answer:
B -0.104
Step-by-step explanation:
Step 1: Write the formula for correlation
r = total xy
√Total x² x Total y²
Step 2: Make a table to calculate all values
Table is attached in the picture below
Step 3 : Solve
Mean of X = Total X/ Total number of X
= 507/12
= 106.33
Mean of Y = Total Y/ Total number of Y
= 1276/ 12
= 42.25
r = total xy
√Total x² x Total y²
r = -352.05/ √3656.25 x 3122.66698
r = -0.104
-0.104 is negative
This negative correlation means there is an inverse correlation between variables.
