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3 years ago

Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)} What is the range of A?

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ - 2 \: , \: 1 \: , \: 3 \: }}}}}$

Step-by-step explanation:

Given,

A = { ( 2 , 3 ) , ( 5 , 1 ) , ( -3 , -2 ) , ( 0 , 3 )

To find : Range

Range are set of all y - co-odinates.

So, Range = { - 2 , 1 , 3 }

Hope I helped!

Best regards!!

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Ben was in charge of ordering 3636 pizzas for the office party. He ordered three types of pizza: cheese, pepperoni, and suprem

shutvik [7]

Answer:

Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas

Step-by-step explanation:

We can solve this problem with a equation system. I will abbreviate the amount of cheese pizzas he buyed as C, the amount of pepperoni ones as P, and the amount of supreme ones as S. I will also remove the $ notation

The system is given as follows

C+P+S = 36

8C + 11P + 14S = 390

11P = 2*(8C) = 16C

We can easily replace 11P with 16C in equation 2, obtaining

8C + 16C + 14S = 390

24C + 14S = 390

S = (390- 24C)/14 = 195/7 - 12/7 C

Note that, also from equation 3, we have that

11P = 16 C

P = 16/11 C

Now, we can obtain the value of C using equation 1 replacing S and P with the founded values

C+P+S = 36

C + 16/11 C + 195/7 - 12/7 C = 36

C + 16/11 C - 12/7 C = 36-195/7 = 57/7

Taking C as common factor we obtain

C (1+16/11-12/7) = 57/7

C * 57/77 = 57/7

C = (57/7) / (57/77) = 11

Now, we replace this value in the formula we obtain for P and S

P = 16/11 * C = 16/11 * 11 = 16

S = 195/7 - 12/7 * 11 = 63/7 = 9

Now, we verify:

C+P+S = 11+16+9 = 36
8C + 11P + 14S = 8*11 + 11*16 + 14*9 = 88 + 176 + 126 = 390
2(8C) = 2*88 = 176 = 11P

Thus, Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas.

8 0

3 years ago

Evaluate the dot product of (2,4) and (1,2)

Aleksandr [31]

ANSWER

The dot product is 10.

EXPLANATION

The given vectors are (2,4) and (1,2).

If we have the vectors

u=(a,b) and v=(c,d)

Then the dot product of the two vectors is given by

$u \bullet \: v = ac + bd$

This implies that,

$(2,4) \bullet(1,2) = 2 \times 1 + 4 \times 2$

This simplifies to;

$(2,4) \bullet(1,2) = 2 + 8 = 10$

4 0

3 years ago

-9x -2y=3<br> - 2x-y=-1<br> HELP ASAP

Tju [1.3M]

Answer:

is this even real what's the actual question?

7 0

3 years ago

PLEASE HELP ITS PROBABILITY PICTURE ABOVE

svetoff [14.1K]

Answer: 2/5 = 0.4 = 40%

Step-by-step explanation:

Each sector has an equal area, so each sector has an equal chance of being landed on. There are two shaded sectors and 5 total, so there is a 2 out of 5 chance that the spinner will land on a shaded one.

3 0

3 years ago

Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation

andrew-mc [135]

Answer:

Sample size should be less than 85

Step-by-step explanation:

Sample size should be less than 85

Step-by-step explanation:

To use the infinite standard deviation formula, n has to be <= (0.05)(1700)

n <= 85

So the sample size has to be less than 85

In another way too,

n = sample size

N = population size

For population, we multiply correction factor to the infinite standard deviation

F is <= 0.05

$n/{N}$

n<0.05x1700

n<85

Sample size should be less than 85

7 0

3 years ago