Answer:
In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.
Solution:
Here the sum of the four angles
or, ∠A + ∠B + ∠C + ∠D = 360°
We know, ∠A = 100°, ∠B = 105° and ∠C = 70°
or, 100° + 105° + 70° + ∠D = 360°
or, 275° + ∠D = 360°
∠D = 360° - 275°
Therefore, = 85°
i hope this was helpful. <3
crown?
Answer:
P = Pay.
A = As.
Y = You.
E = Earned.
Step-by-step explanation:
PAYE Stands for pay as you earned.
Answer:
27 feet for the south wall and 18 feet for the east/west walls
Maximum area=
Step-by-step explanation:
Optimization
This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.
The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.
The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is
C=8x+12y
The budget to build the office space is $432, thus
Solving for y
The area of the office space is
Replacing the value found above
Operating
This is the objective function and must be maximized. Taking its first derivative and equating to 0:
Operating
Solving
Calculating y
Compute the second derivative to ensure it's a maximum
Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is
The population in California is 50 times greater than the population in South Dakota.
To find out how many times greater the population in California is than in South Dakota, you can divide the population of California by the population of South Dakota:
Population of California = 4 * 10⁷
Population of South Dakota = 8 * 10⁵
Population ratio = (Population of California) / (Population of South Dakota)
Population ratio = (4 * 10⁷) / (8 * 10⁵)
Population ratio = 50
Therefore the population in California is 50 times greater than the population in South Dakota.
Learn more on calculating ratio here brainly.com/question/2328454
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Question
California Has A Populatio Of Approximately 4*10^(7)People And South Dakota Has Populatio Of Approximately 8*10^(5) People. How Many Times Greater Is The Population In California Than In South Dakota
california has a populatio of approximately 4*10^(7)people and south dakota has populatio of approximately 8*10^(5) people. how many times greater is the population in california than in south dakota
Answer:
40000000 800000
Step-by-step explanation:
whats the question here?
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
The probability of drawing four sevens, at least one seven, no sevens, and exactly two sevens from a shuffled deck of cards is explained step-by-step.
(a) The deck contains 52 cards, out of which there are 4 sevens. So, the probability of drawing a seven on the first card is 4/52. After drawing the first seven, there are 51 cards left in the deck, including 3 sevens. So, the probability of drawing a seven on the second card is 3/51. Continuing this process, the probability of getting four sevens in a row is (4/52) * (3/51) * (2/50) * (1/49).
(b) The probability of at least one seven can be calculated by finding the probability of the complement event (no seven). The probability of no seven on the first card is 48/52. After drawing the first card, there are 51 cards left, so the probability of no seven on the second card is 47/51. Continuing this process, the probability of no seven in four cards is (48/52) * (47/51) * (46/50) * (45/49). Subtracting this probability from 1 gives us the probability of at least one seven.
(c) The probability of none of the four cards being a seven can be calculated similarly to part (b). The probability of no seven on the first card is 48/52. After drawing the first card, there are 51 cards left, so the probability of no seven on the second card is 47/51. Continuing this process, the probability of no seven in four cards is (48/52) * (47/51) * (46/50) * (45/49).
(d) To find the probability that exactly two of the four cards are sevens, we need to consider two cases: (1) the first two cards are sevens and the last two are not, and (2) the first two cards are not sevens and the last two are. The probability of the first case is (4/52) * (3/51) * (48/50) * (47/49), and the probability of the second case is (48/52) * (47/51) * (4/50) * (3/49). Adding these probabilities gives the total probability.
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Answer: .833333
Step-by-step explanation:
5/6
You could get a 1, 2, 3, 4, 6
So 5 in total over 6 options