Next Statistical Models: Mastery Test Subm 2 Select the correct answer. Which experimental result best matches the theoretical p
robability of the event? OA Charlie draws a number tile from a box containing the numbers 1 to 10, writes down the number, and puts the tile back in the box. He repeats this 40 times. The results show that the number 5 was drawn 10 times. B. Liza has an 8-sided number solid that is numbered 1 through 8. She rolls it 56 times and records her results. The results show that an even number was rolled 14 times. Oc. Mia has a bag that contains a letter block for each of the 26 letters of the alphabet. She draws a letter block from the bag, writes down the letter, and puts the block back in the bag. She repeats this 26 times. The results show that she drew a vowel (A, E, I, O, or U) 6 times. OD Sarah spins a spinner with 6 equal-sized sections of different colors and records the color on which the spinner lands. She repeats this 24 times. The results show that the spinner landed on red 10 times. Reset Next 1. All rights reserved. re to search
2 answers:
Answer:
Mia has a bag that contains a letter block for each of the 26 letters of the alphabet. She draws a letter block from the bag, writes down the letter, and puts the block back in the bag. She repeats this 26 times. The results show that she drew a vowel (A, E, I, O, or U) 6 times.
Step-by-step explanation:
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Answer:
x -y = -5
3x +y = -11
Step-by-step explanation:
We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -1 = +1(x +4)
y -1 = -3(x +4)
We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.
<u>First equation</u>:
y -1 = x +4 . . . . . . eliminate parentheses
-5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant
x - y = -5 . . . . . . standard form
<u>Second equation</u>:
y -1 = -3x -12 . . . . eliminate parentheses
3x +y = -11 . . . . . . add 3x+1 to both sides
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A system of equations with solution (-4, 1) is ...
- x - y = -5
- 3x + y = -11
Answer:
Step-by-step explanation:
Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.
- sin(θ)= opposite/hypotenuse
- cos(θ)= adjacent/hypotenuse
- tan(θ)= opposite/adjacent
Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.
We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.
- opposite=x
- adjacent=5 m
- θ=80
Substitute in the known variables.
We want to find x, the height of the tree. Therefore we need to isolate that variable.
x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.
The question asks for an approximation, so let's round to the nearest hundredth.
The 6 in the thousandth place tells us to round the 5 to a 6.
The tree is about <u>28.36 meters tall.</u>
Area
Answer is 2000 (after rounding to nearest thousands).
Hope this helps. - M
Answer is 2000 (after rounding to nearest thousands).
Hope this helps. - M