The answer would be 3/7
Explanation:
This question is basically asking for you to simplify 12/28. To do this, we find the GCF (Greatest Common Factor) of 12 and 28, which is 4. Then, we do 12 / 4 and 28 / 4, which gives us 3 and 7. Therefore, the answer is 3/7.
The similarity ratio of STUV to CBED is 0.5
<h3>How to determine the
similarity ratio of STUV to CBED?</h3>
For the shapes to have a similarity ratio, it means that:
The shapes are similar (not necessarily congruent)
From the diagram, the following sides are corresponding sides
ST and CB
Where
ST = 2
CB = 1
The similarity ratio of STUV to CBED is calculated as:
Ratio = CB/ST
Substitute the known values in the above equation
Ratio =1/2
Evaluate
Ratio = 0.5
Hence, the similarity ratio of STUV to CBED is 0.5
Read more about similar shapes at:
brainly.com/question/14285697
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<span>We use the binomial distribution, which states that:
Probability(r out of n) = (nCr) (p)^r (q)^(n-r)
In this case, n = 10 students, p = 39% = 0.39, and q = 1 - 0.39 = 0.61
a) For r = 2: Probability(2/10) = (10C2) (0.39)^2 (0.61)^(10-2) = 45(0.39)^2 (0.61)^8 = 0.1312, which is the probability for exactly 2.
b) We can first find the probability for r = 0 and r = 1, then subtract that from 1 to determine the probability of at least 2.
For r = 0: </span><span>Probability(0/10) = (10C0) (0.39)^0 (0.61)^(10-0) = (1)(1)(0.61)^10 = 0.0071
</span><span>For r = 1: Probability(1/10) = (10C1) (0.39)^1 (0.61)^(10-1) = (10)(0.39)(0.61)^9 = 0.0456</span>
Then P(0/10) + P(1/10) = 0.0527, so P(at least 2/10) = 1 - 0.0527 = 0.9473.
(c)
We have P(2/10) = 0.1312, and we can calculate for the rest similarly:
For r = 3: <span>Probability(3/10) = (10C3) (0.39)^3 (0.61)^(10-3) = 0.2237
</span><span>For r = 4: <span>Probability(4/10) = (10C4) (0.39)^4 (0.61)^(10-4) = 0.2503
</span></span><span>For r = 5: <span>Probability(5/10) = (10C5) (0.39)^5 (0.61)^(10-5) = 0.1920
Therefore the sum of P(2) up to P(5) is 0.7972, so this is the probability of having between 2 to 5 inclusive.
</span></span>
Assuming the cup is a right circular cylinder, it's volume is 
$h=10$, $r=\frac 42$
So the volume is $\pi\cdot(2)^2\cdot10=125.66$
hence you can fill up to 125.66 cubic Inches of milkshake
.
Answer:
44
Step-by-step explanation:
2 + 3 * 9 + 3 * 5
=> 2 + 27 + 15
=> 29 +15
=> 44
