Answer:
Order the numbers from least to greatest.
75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130
Minimum is 75
Q1 is 91.5
The median is 103.
Q3 is 116.5
Maximum is 130
Now, look at the answer choices.
B has the incorrect median
D has incorrect Q1.
A has incorrect Q3.
C is the answer.
Answer:
DU = 86
Step-by-step explanation:
Properties of a rectangle,
- Opposite sides are equal in measure.
- Diagonals of a rectangle are equal.
- Diagonals bisect each other.
In the given rectangle QUAD,
Diagonals AQ and DU bisect each other at P.
AQ = DU
2(QP) = DU [Since, AQ = 2(PQ)]
2(2x + 7) = 5x - 4
4x + 14 = 5x - 4
5x - 4x = 14 + 4
x = 18
Since, DU = 5x - 4
DU = 5(18) - 4
= 90 - 4
= 86
Therefore, measure of DU = 86 units
6:20=9:30=3:10=18:60=16:160/3=12:40
Step-by-step explanation:
The question requires you to find value of x in the ratios given;
Start with the first pair
6:20 = 9:x
6/20 =9/x
6x=20*9
6x=180
x=180/6=30 ⇒⇒ 6:20 = 9:30
The second pair after replacing the value of x=30 will be
9:30 = x:10
9/30=x/10
90=30x
90/30 =x
3=x⇒⇒ 9:30 = 3:10
The third pair after replacing value of x=3 will be
3:10 =x:60
3/10 =x/60
180=10x
180/10 =x
18=x ⇒⇒ 3:10 = 18:60
The fourth pair after replacing value of x=18 will be;
18:60 = 16:x
18/60 = 16/x
18x=16*60
x= (16*60)/18 =160/3
x= 160/3 ⇒⇒⇒ 18:60 = 16: 160/3
The firth pair after replacing value of x=160/3 will be;
16: 160/3 =12:x
16x= 160/3 *12
16x = 160 * 4
x= (160 *4 )/16
x=40
⇒⇒ 16: 160/3 = 12: 40
Learn More
Ratios and proportions :brainly.com/question/9512748
Keywords : ratio, value of x, proportion
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Answer:
The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.
<h2>⚘Your Answer:------</h2>
<h3><u>Given</u><u> </u><u>Information</u><u>:</u></h3>
- <u>Diameter of can</u>:- 3.6 cm
- <u>Height of</u><u> </u><u>can</u><u>:</u><u>-</u> 6.4 cm
<h3><u>To</u><u> </u><u>Find</u><u> </u><u>Out</u><u>:</u></h3>
- <u>Volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>Can</u><u>.</u>
<h3><u>Solution</u><u>:</u></h3>
Radius = (Diameter/2)
ㅤㅤㅤㅤ3.6 cm/2
ㅤㅤㅤㅤ1.8 cm
<u>So</u><u>,</u><u> </u><u>Radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>soup</u><u> </u><u>can</u><u> </u><u>is</u> 1.8 cm.
Volume øf cylinder = Volume øf can
Volume of cylinder = π r²h
(π = 22/7)
(r = radius = 1.8 cm)
(h = height = 6.4 cm
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³
So, the Volume of the soup can is 65.17 cm³
ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You
