Ty stacked some large wooden blocks. Each block is 1/3 ft tall. His stack of blocks measures 5 ft. How many blocks are in Ty's stack?
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Ty’s stack has 15 blocks.
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If the police have 8 suspects, how many different ways can they select 5 for a lineup?
On a test, Avery lost 5points for each of the 6questions she got wrongbut earned 10 points foranswering the bonusquestion correctly. Whatinteger represents herscore in relation to aperfect score of 100?
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Answer:
The assumption that must be made for this study to follow the probabilities of a binomial experiment is that there must be only two outcomes of each trail in this study (meaning that it is either they prefer grey suits or they do not prefer grey suits). There must be no other option apart from those two options and each of the independent trails must be mutually exclusive, meaning that the two required options cannot occur together. It is either the first option (prefer grey suits) or the second option (do not prefer grey suits).
Step-by-step explanation:
Answers
The 2-point form of the equation for a line can be used.
... y = (y₂-y₁)/(x₂-x₁)·(x -x₁) +y₁
Filling in the given information, you have
... y = (4-1)/(4-3)·(x-3) +1 . . . . an equation for the line
... y = 3x -8 . . . . . . . . . . . . . . simplified to slope-intercept form
... 3x -y = 8 . . . . . . . . . . . . . .. rearranged to standard form
Final answer:
The equation of the line passing through given points (3, 1) and (4, 4) can be found by calculating the slope and the y-intercept of the line. First, we find the slope (m) is 3. Then, by substituting the slope and one point into the formula y = mx + b, we find the y-intercept is -8. Thus, the equation of the line is y = 3x - 8.
Explanation:
To find the equation of a line passing through two points, we need to find the slope (m) first. The formula for calculating the slope is m = (y2 - y1) / (x2 - x1). Taking the given points (3, 1) and (4, 4), we can substitute into our formula and get m = (4 - 1) / (4 - 3) = 3 / 1 = 3.
Once we have the slope, the next step is finding the y-intercept (b) using the equation of a line, y = mx + b. Replacing m, x, and y with known values from any point, let's use (3, 1), we get 1 = 3*3 + b, that simplifies to b = -8.
So the equation of the line that passes through the points (3, 1) and (4, 4) is: y = 3x - 8.
Learn more about line equation here:
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Pls help fast
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Answer:
N=2425
Simplify 2500 (1-0.03).
N=2425
Answers
Inequality Form:
n < 4
Interval Notation:
(-, 4)
God bless you have a beautiful blessed day and I hope this makes it!
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Answer:
Answers
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80