A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid
1 answer:
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Answer:
1) d) Square
2) Proofs that PWRS is a rhombus are
Length of QS ≠ PR and
Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.
Step-by-step explanation:
The given points (x, y) of the parallelogram are;
E(-2, -4), F(0, -1), G(-3, 1), H(-5, -2)
The slope, m, of the segments are found as follows;
By computation, the slope of segment EF = 1.5
The slope of segment FG = -0.67
The slope of segment GH = 1.5
The slope of segment HE = -0.67
Therefore, EF is parallel to GH and FG is parallel to HE
The length of the sides are;
By computation, the length of segment EF = 3.61
The length of segment FG = 3.61
The length of segment GH = 3.61
The length of segment HE = 3.61
The diagonals are;
EG and FH
The length of segment EG = 5.099
The length of segment FH = 5.099
Therefore, the diagonals are equal and the parallelogram is a square
2) The given dimensions are;
P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2)
A rhombus has all sides equal
The length of segment PQ = 2.24
The length of segment QR = 2.24
The length of segment RS = 2.24
The length of segment PS = 2.24
The diagonals are;
QS and PR
The length of segment QS = 4.24
The length of segment PR = 1.41
The slope of segment QR = -0.5
The slope of segment PS = -0.5
The slope of segment RS = -2
The slope of segment QP = -2
Therefore, QS≠QR the parallelogram is a rhombus
The correct option ;
Length of QS ≠ PR and
Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.
Where there are acute angles in parallelogram PQRS, then the correct option is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Answer:
8.08%
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2
The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:
, where x is the raw score.
If the sample size (n) is taken then the z score is given by:
Therefore for this problem the z score is:
From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%