While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her
2 answers:
Answer:
The correct answer was given: Brain
y = (x+5)(x+2)
step-by-step explanation:
we are given the following the quadratic function and we are to rewrite it in intercept or factored form:
we can factorize the given quadratic function such that when multiplied, the factors give a product of 10 and when added, they give a result of 7.
therefore, the factored form of the given function is y = (x+5)(x+2)
Step-by-step explanation:
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Answer:
Sophie will get <u>$56</u> in exchange.
Step-by-step explanation:
Given:
TravelEz sells dollars at a rate of ($1.40)/(1 euro).
And dollars they buy at a rate of ($1.80)/(1 euro).
Sophie exchanged $540 to get 300 euros, at the beginning of trip.
And, she is left with 40 euros at the end of trip.
So exchanges the euros back to dollars.
Now, to find the dollars Sophie will get in exchange.
Let the dollars Sophie will get in exchange be
The rate at which TravelEz sells dollars =
Number of euros Sophie is left with =
Now, to get the dollars she will get we set proportion:
<em>As, </em><em> is equivalent </em>
<em>.</em>
<em>So, </em><em> is equivalent to </em>
<em>.</em>
Thus,
By cross multiplying we get:
Therefore, Sophie will get $56 in exchange.
Answer:
a)
b)
Step-by-step explanation:
1) Data given and notation
n=900 represent the random sample taken
X=372 represent the students were pursuing liberal arts degrees
estimated proportion of students were pursuing liberal arts degrees
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
p= population proportion of students were pursuing liberal arts degrees
2) Solution to the problem
The confidence interval would be given by this formula
For the 99% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error is given by:
If we replace we have:
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (0.371;0.455).
We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.