Answer: 2 kg
Step-by-step explanation:
3/4(22-x)=17-x
66/4-3/4x=34/2-x
33/2-3/4x=34/2-x
1/4x=1/2
x=2
Answer:
there is a 15/80 chance she will pick a black pen
there is also a 65/80 chance she will pick a blue pen
Step-by-step explanation:
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
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Answer:
c.
Step-by-step explanation:
The following is how the p-value should be interpreted:
The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.
Null hypothesis
A student's grade level has no bearing or association on how they commute to school.
Alternative hypothesis;
There is a link between a student's grade level and the way they get to school.
The test statistic's value is 14.63, and the p-value is 0.2636.
As a result, the p-value is interpreted as that of option c in the question.
Answer:
Convex, since none of the angles are greater than 180°
