Answer:
The y-intercept in the model represents the base salary
Step-by-step explanation:
In regression analysis, the y-intercept refers to the point where a regression line crosses or cuts the y-intercept. At this point, the value of the explanatory variable X is usually 0.
In the model, the explanatory variable x is Ashley's total sales for the year. On the other hand the dependent variable is the annual salary which depends on total sales.
Substituting x with 0 in the regression model yields;
y = 0.2(0) + 25,000
y = 25,000
The y-intercept is thus 25,000 which is simply the salary earned in the absence of sales. This is simply the basic salary.
*see attachment for diagram
Answer:
✔️m<BAC = 72°
✔️m<BCD = 108°
Step-by-step explanation:
Given:
m<ABC = (4x - 16)°
m<ACB = (5x + 7)°
Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.
First we need to determine the value of x.
The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.
Therefore:
(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)
Solve for x
4x - 16 + 10x + 14 = 180
Add like terms
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
x = 13
Find the measure of each angle by plugging in the value of x where necessary:
✔️m<ABC = (4x - 16)° = 4(13) - 16
m<ABC = 36°
✔️m<ACB = (5x + 7)° = 5(13) + 7
m<ACB = 72°
✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)
Therefore,
m<BAC = 72°
✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)
m<BCD = 36 + 72 (Substitution)
m<BCD = 108°
Therefore, the angle measures that are correct are:
✔️m<BAC = 72°
✔️m<BCD = 108°
The total number of marbles in the bag is 1 + 4 + 3 = 8
The probability of drawing one marble and getting blue is 4/8 = 1/2
Since marble is put back and he draws again, the probability will again be 1/2
The total probability = 1/2 * 1/2 = 1/4.
1/4 <<<<Answer
Answer:
all follow the sequence
Step-by-step explanation:
Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.
Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.
Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.
