If Kishan wanted to average a 90% for the term and on his first four tests he got an 83, 94, 88, and 85, what would he have to get on the fifth test in order to meet his goal?
Answers
Answer:100%
Step-by-step explanation:
83+94+88+85+100=450
450/5=90% average
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At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 years, and the distribution is approximately normal. If an employee is picked at random, what is the probability that the employee has worked at the store for over 10 years? 99.2% 0.8% 49.2% 1.7%
Suppose that P dollars in principal is invested for t years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period.=P$10,000, =t112 yr(a) 1% interest(b) 4% interest(c) 4.5% interest
A seagull is gliding 53 feet above the surfaces of the water. It then dives 70 feet to catch a fish. How many feet below the surface of the water does the seagull dive?
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7), what would be the coordinates of its image? (-1,7) O (-5,1) O(-9,5) O (-1, 13)
Answers
Answer:
Step-by-step explanation:
The question is incomplete as the method is not given.
However, the question can still be solved.
Given
Make xi the subject in the first equation
Substitute 1 + x2 for xi in the second equation
Open bracket
Collect Like Terms
Solve for x2
Recall that:
Final answer:
The solution to the given system of equations is obtained through substitution. The process involves replacing a variable in one equation with an expression from the other. The final solutions are x1=1 and x2=0.
Explanation:
The system of equations in question is:
1) x1 - x2 = 1
2) 3x1 + x2 = 3
The method to solve this system is through substitution or elimination. First, rewrite the first equation x1 = x2 + 1. This allows us to substitute x1 - 1 for x2 in the second equation, yielding 3(x2 + 1) + x2 = 3, simplifying to 4x2 + 3 = 3. Solving for x2, we get x2 = 0. Substituting x2 into x1 = x2 + 1, we conclude that x1 = 1. Thus, the solution to the system is x1 = 1, x2 = 0.
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Answers
Explanation: divide 42 by 4 to get that amount of groups (10.5) then multiply that number by 6 so (10.5 • 6) and that should give the apple tree total.
Answers
228÷6 = 38
Glad to help you :)
Final answer:
By dividing the total number of peas (228) by the number of peas per pod (6), we find that Gregor Mendel has 38 pods of peas.
Explanation:
This question is asking how many pods of peas Gregor Mendel has if he has a total of 228 peas and each pod contains 6 peas. To find out this, you can divide the total number of peas by the number of peas per pod.
So, 228 peas ÷ 6 peas/pod = 38 pods.
Therefore, Gregor Mendel has 38 pods of peas that he is examining for his research.
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Answers
cos x = 0.899
2. If the company applies a markup of 20% of total costs (price quote is 120% of total costs), what price should it quote for this job?
Answers
Answer:
$23,000 and $27,600
Step-by-step explanation:
To find the total cost of the job, we do the equation: $50 x 200
This equation will calculate the cost of the direct labor.
$50 x 200 = $10,000
Now, calculate the overhead prices
The equation is 200 x $65
This equals 13,000
Now add them and you get 23,000
The cost of the job is $23,000
To find the markup, 1.2 x $23,000 = $27,600
2x² – 5x + 3 = m(x)
Answers
Answer:
- vertex: (1.25, -0.125)
- axis of symmetry: x = 1.25
- minimum: -0.125
- domain: all real numbers
- range: y ≥ -0.125
Step-by-step explanation:
For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...
x = -(-5)/(2(2)) = 5/4 = 1.25
The vertex is on the axis of symmetry. The y-value there is ...
m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8
The vertex is (5/4, -1/8).
The axis of symmetry is x = 5/4.
The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.
The minimum is -1/8.
The function is defined for all values of x, so ...
the domain is all real numbers.
Values of y can only be -1/8 or greater, so ...
the range is y ≥ -1/8.