Answer:
<u>x = (3√34 + 1)/5 units</u>
Step-by-step explanation:
Let's solve for x, using the Pythagorean theorem, this way:
BC is the Hypotenuse of the triangle ABC
BC² = 15² + 9²
BC² = 225 + 81
BC² = 306
BC = √9 * 34
BC = 3 √34
Now, we can substitute and solve for x, this way:
BC = 3x + 2x - 1
3 √34 = 3x + 2x - 1
3√ 34 + 1 = 5x
<u>x = (3√34 + 1)/5 units</u>
Answer: -0.83
Step-by-step explanation:
A correlation coefficient(r) is used to determine the strength and direction of the relationship between two variables.
-1 ≤ r ≤1
For downward trend r is negative.
For strong correlation r should be closer to 1 or -1.
From the given correlation coefficients -0.83 is both negative and closer to -1.
Hence, a correlation coefficient represents the strongest downward trend in a data set = -0.83
We are given that popularity of television is inversely proportional to its cost.
let us say popularity of television is represented by "P" and cost of television by "T".
We will use a constant "k" to convert the proportionality sign to equal to (=) sign.
Thus forming the equation :
We are given that 15 customers buy a television that cost $1500.
plugging P=15 and T=1500, finding k,
k=15*1500 = 22500
Next we have to find how many customers would buy a television that costs $2500, so here k=22500 and T=2500, plugging this in the equation we have ,
P=9
So there will be 9 customers that buy a television which costs $2500.
Answer:
8 times 34= 272
Step-by-step explanation:
Answer:
43 mph
Step-by-step explanation:
1 day = 24 hours
3 days = 3 × 24 hours = 72 hours
The car taveled 3106 miles in 72 hours.
average speed = distance/time
average speed = (3106 miles)/(72 hours)
average speed = 43 mph
