We should first convert 23 1/2 million dollars to a mixed number:
Then we need to divide this by 4, since 4 people won an equal amount of the prize:
And to solve this, we must multiply both the numerator and the denominator by 
. This will then cancel out the 4 in the denominator:
This is the amount each individual person won; we must convert this to a mixed number since the question asked us to:
So now we know that each person won 
million dollars.
The only statements that is true about the information on the table are:
- The ratio of students who wish they had flight to those who wish for invisibility -Ratio 2:3. All other statements/ratios are false/incorrect.
<h3>
How do we get the ratio of students who wish they had flight to those who wish for invisibility?</h3>
Ratio is simple math.
The number of people who wish for invisibility are: 12 ; while
The number of people who wish for flight are: 8
Thus the ratio will be given as:
8/12 further simplified by dividing by 4, we have
(8/4) : (12/4)
= 2:3
Hence, only the last statement is true.
Learn more about ratios at:
brainly.com/question/2328454
#SPJ1
Answer:
1.5
Step-by-step explanation:
Answer:
The probability that the sample proportion will be less than 0.05 is 0.80511.
Step-by-step explanation:
We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.
Suppose the true proportion is 0.04 and 349 are sampled.
<u><em>Let </em></u>
<u><em> = sample proportion</em></u>
The z score probability distribution for sample proportion is given by;
Z = 
~ N(0,1)
where, = sample proportion
n = sample size = 349
p = population proportion = 0.04
Now, the probability that the sample proportion will be less than 0.05 is given by = P( < 0.05)
P( < 0.05) = P( < 
) = P(Z < 0.86) = 0.80511
<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>
Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.
9514 1404 393
Answer:
yes
Step-by-step explanation:
If GH║FE, then ∆DEF ~ ∆DHG.
In similar triangles, corresponding sides have the same ratios.
The ratios of corresponding sides are ...
DG/DF = DH/DE
DG/(DG + GF) = 18/(18+36)
(1/2GF)/((1/2GF +GF) = 1/3
(1/2)/(3/2) = 1/3
1/3 = 1/3
Corresponding sides are proportional. Angle D is congruent to itself, so ∆DEF ~ ∆DHG by the SAS similarity postulate. Angles DGH and DFE are therefore congruent and GH║FE.
