Answer:
a.The estimate is 43/60
b.No, he should not change the estimate based on this information
Step-by-step explanation:
The estimate he would make is dividing the number of bricks which he sees as green by the total number of bricks. That would be the probability of selecting a green brick out of all the 60 bricks.
Mathematically this probability is 43/60
No, Andre should not change his estimate.
The reason is that we are only told that she looked in the bag and saw 6 bricks, we do not know whether the kind of bricks he saw were green in color. The only time it is necessary for Andre to change his estimate is when it is confirmed that the six bricks seen by Mai in the bag were essentially confirmed to be green. without this confirmation, the estimate should not be changed.
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Given:
Two figures.
To find:
The area of the shaded regions for both figures.
Solution:
In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.
[tex]A=\dfrac{1}{2}\times base\times height[/tex]
[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]
[tex]A=\dfrac{180}{2}[/tex]
[tex]A=90[/tex]
Therefore, the area of the shaded region is 90 square units.
In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.
Area of triangle with base 15 and height 18 is:
[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]
[tex]A_1=\dfrac{270}{2}[/tex]
[tex]A_1=135[/tex]
Area of the square with sides 6.
[tex]A_2=(side)^2[/tex]
[tex]A_2=(6)^2[/tex]
[tex]A_2=36[/tex]
Now, the area of the shaded region is:
[tex]A=A_1-A_2[/tex]
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
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6 7 7 9 8 10 9 8 7 6 8 7 9
5 3 9 10 10 9 9 8 9 8 6 10 8
4 7 3 10 8 9 8 10 10 8 8
Develop a 95% confidence interval estimate of the population mean rating for Miami (to 2 decimals).
Answer:
The 95% confidence interval estimate of the population mean is (7.38, 8.46).
Step-by-step explanation:
Before building the confidence interval, we need to find the mean and standard deviation of the sample.
In this sample, there are 50 values.
Mean of the sample:
Sum of all values divided by the number of values.
With the help of a calculator, the mean is of 7.92.
Standard deviation:
Square root of the division of the sum of the difference squared between each value and the mean by the number of the values.
With the help of a calculator, the standard deviation is of 1.8958.
Confidence interval:
We have the confidence interval for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
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The degree measure of an angle in a right triangle is x, and sin x =
Which of the following expressions are also equal to
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A. Cos(x)
B. Cos(x - 459)
C. cos(90° - x)
D. Cos(60° - x)
E. COS(45° - x)
Step-by-step explanation:
I feel there is important information lost in the way you provided the problem statement.
e.g. "... also equal to ?"
equal to what ?
sin x = what ?
so, I can only guess some things.
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answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).
answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.
answer E is also always wrong, as these 45 degrees difference also block equal values.
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Answer:
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Step-by-step explanation:
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Answer:
5 ( x + 7 )
Step-by-step explanation:
= 5x + 35
= 5 ( x + 7 )
Therefore, after factorizing you will get 5 ( x + 7 )
Answer:
hey , it can be factored:
this is the factored expression:
5(x+7)
please answer this question below
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, 72?
A. 32
B. 40
C. 48
D. 64
4. What rule is being used in this sequence 25, 28, 26, 29, 27?
A. Add 3.
B. Add 3, subtract 2...
C. Subtract 3, add 2...
D. Multiply by 3, subtract 2...
5. What is the value of kin 6k - 19 = 23?
A. 14
B. 11
C. 7
D. 5
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3. B
4. B
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Step-by-step explanation:
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36
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Answer:
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510
Step-by-step explanation:
The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :
y = - 15.57x² + 179.32x + 0.20
Where, height = y
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Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.
y = - 15.57x² + 179.32x + 0.20
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The height, to the nearest foot, at a time, x = 6.4 seconds.
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Image is above or below
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Step-by-step explanation:
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hot boy shirtless
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Y=3x-5
Answer:
Table of values
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
See attachment for graph
Step-by-step explanation:
Given
[tex]y = 3x - 5[/tex]
Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When [tex]x = 0[/tex]
[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]
When [tex]x = 1[/tex]
[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]
When [tex]x = 2[/tex]
[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]
When [tex]x = 3[/tex]
[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]
When [tex]x = 4[/tex]
[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]
When [tex]x = 5[/tex]
[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]
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[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
Solving (b): The graph
See attachment
Write 2.5 : 4.5 as a whole number ratio in it's simplest from.
Answer: : = 5 : 9
Step-by-step explanation:
Answer:
i think it would be 5:9
Step-by-step explanation:
Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
2.5 : 4.5 = 25 : 45
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 25 and 45 is 5
Divide both terms by the GCF, 5:
25 ÷ 5 = 5
45 ÷ 5 = 9
The ratio 25 : 45 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
25 : 45 = 5 : 9
Therefore:
2.5 : 4.5 = 5 : 9
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Find point Z that partitions the directed line segment XY in the ratio of 3:2 where X(-4, -2) and Y(6, 3).
Answer:
(2 , 1)
Step-by-step explanation:
point Z (x, y)
x = 3/5 × (6+4) + (-4)
= 3/5×10 -4
= 6-4
= 2
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= 3/5 ×5 -2
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= 1
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D
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Area = l × w
= 30 × 20
= 600 feet2
Write the equation of the line which passes through the
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Answer:
y=-2/5x-11/5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-2/5(x-2)
y+3=-2/5x+4/5
y=-2/5x+4/5-3
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Answer:
0.109
Step-by-step explanation:
Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:
8! / (6! x 2!) - 28
So, the probability is:
28 / 2^8 or 28/256
As a decimal, this is: 0.109375
And rounded to the nearest thousandth it's 0.109
Calculate the surface area
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Answer:
The image's not clear!
Step-by-step explanation:
Answer:
The answer is 30 (C)
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Answer:
is it 120
Step-by-step explanation:
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Write 346% as a decimal
Answer:
3.46
Step-by-step explanation:
Answer:
3.46
Step-by-step explanation:
346% = 346/100 = 3.46