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3 years ago

R is the midpoint of DA⎯⎯⎯⎯⎯. D has coordinates (5,−6), and R has coordinates (9,−2). Identify the coordinates of A.

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

Step-by-step explanation:

A(x₁ ,y₁) & D(5 , -6)

Midpoint = $\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)$

$R(9,-2)= \left(\dfrac{x_{1}+5}{2},\dfrac{y_{1}-6}{2} \right)$

Compare x and y coordinates of both sides

$\dfrac{x_{1}+5}{2}=9$ ; $\dfrac{y_{1}-6}{2}=-2$

x₁ + 5 = 18 ; y₁ - 6 = -4

x₁ = 18 - 5 ; y₁ = -4 + 6

x₁ = 13 y₁ = 2

A(13 , 2)

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You make 70% of the basketball shots you take. If you

Temka [501]

Answer:

Step-by-step explanation:

The probability that you make one shot is 70%, or 0.7.

The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249

The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.

MSSSSSSSSS

SMSSSSSSSS

SSMSSSSSSS

and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is

(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821

Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get

0.0282475249 + 0.121060821 = 0.1493083459

7 0

2 years ago

A store sells tea cups in sets of 9 and saucers in sets of 12. The store sold the same number of individual cups and saucers in

BlackZzzverrR [31]

The first five multiples of 9 are 9 18 27 36 45 I hope that's what you mean.

The prime factors of 9 and 12 are

9: 3 * 3

12: 3 * 2 * 2

The LCM is 3*3*2*2 is 36

The store sold 4 sets of cups ans 3 sets saucers. Answer

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4 years ago

both commensalism and parasitism are relationships that benefit at least one species. which of the following describes the effec

scoundrel [369]

Answer:

C) Commensalism has no effect on the species, while parasitism has a negative effect.

Explanation:

Commensalism and parasitism are both forms of species interaction.

Commensalism:

Commensalism refers to an ecological relationship between two species where one species benefits from the other but the other is neither harmed nor benefited. For example, remoras are little fish that attach to sharks and other larger fish. Remoras benefit in terms of protection, transport and food. They feed off scraps attached to the shark's mouth and teeth. However, the shark neither benefits nor suffers from this interaction.

Parasitism:

Parasitism is a relationship between a host and a parasite where the parasite benefits at the expense of the host. the parasite attains benefits while harming the host. For example, ticks and fleas that infest dogs. The ticks attain nutrients from the host's blood and in turn, weaken and harm the host.

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3 years ago

The number of lattes sold daily by two coffee shops is shown in the table.

Gre4nikov [31]

Answer:

The correct option is B.

Step-by-step explanation:

The number of lattes sold daily by two coffee shops is shown in the table.

The data set for shop A is

55, 52, 56, 48, 57, 30, 45, 41

Arrange the data in ascending order.

30, 41, 45, 48, 52, 55, 56, 57

Mean of shop A is

$Mean=\frac{\sum x}{n}=\frac{30+41+45+48+52+55+56+57}{8}=48$

$Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{48+52}{2}=50$

The data set for shop B is

45, 42, 57, 48, 11, 10, 46, 43

Arrange the data in ascending order.

10, 11, 42, 43, 45, 46, 48, 57

Mean of shop A is

$Mean=\frac{\sum x}{n}=\frac{10+11+42+43+45+46+48+57}{8}=37.75$

$Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{43+45}{2}=44$

Both data distribution are not symmetric, so it is better to describe the centers of distribution in terms of median for both coffee shops. Therefore the correct option is B.

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3 years ago

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