8 pencils and one eraser cost $1.35 and 6 pencils and one eraser cost $1.05. How much does one pencil cost?
Answers
Answer:
one pencil cost $0.15
Step-by-step explanation:
Explanation: If you use common sense, information provided, and basic math, you notice that after 2 pencils were removed the total cost dropped 30 cents/$0.30; therefore, after 2 pencils are taken away the cost drops 30 cents and to find the price for one pencil all you have to do is divide 30/2 and you get 15 cents and/or $0.15.
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A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tank are thin glass which can only withstand a maximum force of 200 lb. How high (in ft) can the water reach before the sides shatter?(Assume a density of water rho = 62.4 lb/ft3.Round your answer to two decimal places.)
Look at the system of equations below.y = {x + 10y = {x – 10Which of these statements is correct?A. The system has no solution.B. The solution of the system is (-3,8).C. The solution of the system is (6,-6).D. The system has an infinite number oftiang
Pleaae tell fast plzzzzzzzzzzz
Does anyone know the answer to this question?If the answer is true, please do answer me, thank you.I'm really in a hurry!
Answers
Answer:
3
Step-by-step explanation:
The gap between every single number of this sequence is 3.
14 - 11 = 3
8 - 5 = 3
This gap is called the common difference. You can find it by subtracting values in the sequence that are next to each other.
Answers
Answer:
m= 1/2
b= (0,6)
Step-by-step explanation:
Slope is rise over run
The y intercept is when x=o or just look at the vertical line
Answers
The value of the given expression for the given value is 18.
Given that, x=2 and y=3.
We need to find the value of xy².
How to find the value of the expression?
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Now, xy²=2×3²
=18
Therefore, the value of the given expression for the given value is 18.
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brainly.com/question/23671908.
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Answer:
if it is
xy² then 2*3²= 18
if (xY)²=6²=36
Step-by-step explanation:
Answers
Answer:
Average quality rating was 4.54+-0.00549
Final answer:
The estimate for the average quality rating from the production line, given this sample, is 4, with a degree of uncertainty expressed by a 95% confidence interval of 4 ± 0.031. The confidence interval represents a range whereby we can be 95% confident that the true mean lies within.
Explanation:
Since you have the average (mean) quality rating and standard deviation from a sample size of 1000 widgets, we can use these statistics to establish an estimate for the entire production line. The estimate of the average quality rating is given as 4. However, to account for the uncertainty of our estimate due to it being based upon a sample rather than the entire population, we use the concept of a confidence interval.
The formula for a confidence interval is mean ± z* (standard deviation/sqrt(n)), where z is a z-score corresponding to our desired level of confidence. For simplicity, we can use a z-score of 1.96 to represent a confidence level of 95%.
Therefore, the uncertainty in this estimate (at 95% confidence) is calculated as:1.96 * (0.5/sqrt(1000)), approximately equal to 0.031. So the confidence interval for the average quality of widgets is 4 ± 0.031.
Learn more about Confidence Interval here:
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Answers
22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50
Once you put them into order, you count towards the middle. You have 25 data points, so the middle, which will be your median number, will be 13 points in.
The median is 38
Answers
An isosceles triangle is that the triangle must have two sides of equal length.
Triangle QNP is isosceles triangle because, QN = PN
In triangle QMN,
Since, QM = QN
So, ∠QMN = ∠QNM
By property of triangle:
∠MQN + ∠QNM + ∠QMN = 180
48 + 2 ∠QNM = 180
∠QNM = = 66 degree
So, ∠QMN = ∠QNM = 66 degree
from figure,
∠QNM + ∠QNP = 180
∠QNP = 180 - 66 = 114 degree.
In triangle QNP,
∠QNP + ∠PQN + ∠QPN = 180
∠QPN = 180 - 33 - 114 = 33 degree
Since, ∠QNP = ∠QPN = 33 degree
Therefore, triangle QNP is isosceles triangle.
Learn more:
Answer/Step-by-step explanation:
Let's find the measure of the angles of ∆QNP.
∆QMN is am isosceles ∆, because it has two equal sides. Therefore, its base angles would be the same. Thus:
m<MNQ = ½(180 - 48) (one of the base angles of ∆QMN)
m<MNQ = ½(132) = 66°
Next, find m<QNP
m<QNP = 180° - m<MNQ (linear pair angles)
m<QNP = 180° - 66° (Substitution)
m<QNP = 114°
Next, find m<P
m<P = 180 - (m<QNP + m<PQN) (sum of ∆)
m<P = 180 - (114 + 33)
m<P = 180 - 147
m<P = 33°
Thus, in ∆QNP, there are two equal angles, namely, <P and <PQN.
An isosceles ∆ had two equal base angles. Therefore, ∆QNP must be an isosceles ∆.