Answer:
option (b) 700 mg to 740 mg
Step-by-step explanation:
Data provided;
The weight of candies is approximately normally distributed with mean 720 milligrams (mg)
this means that the most of the candies weight lies around the 720 milligrams
i.e
the most of the weight will be distributed as:
Mean ± standard deviation
here, the mean is 720 milligrams
thus,
the weights will lie within the range of some standard deviation above and below the mean and this is justified by the option (b) 700 mg to 740 mg
Hence,
the correct answer is option (b) 700 mg to 740 mg
L*W=51
L=W+4
Replace L with W+4: (W+4)*W=51
W²+4W-51=0
use the quadratic formula to find W:5.4 (sorry cannot type the formula here)
the length is 5.4+4=9.4
Answer:
JK = 42 , KL = 78
Step-by-step explanation:
JK + KL = JL , substitute values
4x + 6 + 7x + 15 = 129 , that is
11x + 21 = 120 ( subtract 21 from both sides )
11x = 99 ( divide both sides by 11 )
x = 9
Then
JK = 4x + 6 = 4(9) + 6 = 36 + 6 = 42
KL = 7x + 15 = 7(9) + 15 = 63 + 15 = 78
Answer:
61 degrees
Step-by-step explanation:
m∡QRT=m∡SRT
5x – 9=2x + 33
3x=42
x=14
∡SRT=2x+33
∡SRT=2(14)+33
∡SRT=28+33
∡SRT = 61
Answer:
<h3>
- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>
- The area of the shaded sector depends on the length of the radius. </h3><h3>
- The area of the shaded sector depends on the area of the circle</h3>
Step-by-step explanation:
Given central angle PQR = 45°
Total angle in a circle = 360°
Ratio of the measure of central angle PQR to the measure of the entire circle is . This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.
Area of a sector =
= central angle (in degree) = 45°
r = radius of the circle = 6
Area of the sector
<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>
From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>
Since Area of the circle = πr²
Area of the circle = 36πunits²
The ratio of the area of the shaded sector to the area of the circle =
For length of an arc
ratio of the length of the arc to the area of the circle =
It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle