Answer:
Total=4 +3=7
For the 4
4÷7×70=£40
For the 3
3÷7×70=£30
So the division of £70 in ratio 4:3 is £40:£30
We are asked to solve for the value of "x" in the problem. In the circle property, assuming that S is the diameter of the circle, we can say that the angle facing the diameter is 90°.
We have the summation of all angles in a triangle equal to 180°. Solving for x, we have:
180 ° = x + 90° + 39°
x = 180° - 90° -39°
x = 51°
The answer for "x" value is 51°.
Answer: 14 in.
Step-by-step explanation:
https://studyandanswers.com/mathematics/question15147255?#
Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
Answer:
The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
Step-by-step explanation:
See the graph attached.
It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.
Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.
So, the dragonfly will travel 528 miles. (Answer)
