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2 years ago

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

Mathematics

1 answer:

MArishka [77]2 years ago

7 0

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

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write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter

omeli [17]

Answer:

5y = -2x + 31

Step-by-step explanation:

Given equation:

y = $\frac{5}{2} x + 3$

Coordinate = (-7,9)

Unknown:

Equation of the line perpendicular = ?

Solution:

The slope - intercept format of a line is given as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

y = $\frac{5}{2} x + 3$

From the given equation; slope is $\frac{5}{2}$

A line perpendicular will have a slope that is negative and the inverse of this;

slope of perpendicular line = $-\frac{2}{5}$

Since y= 9 and x = -7;

So;

9 = $\frac{-2}{5} x (-7)$ + C

9 = $\frac{14}{5}$ + C

C = 9 - $\frac{14}{5}$ = $\frac{31}{5}$

Now,

y = $-\frac{2}{5}$ x + $\frac{31}{5}$

mulitply through by 5;

5y = -2x + 31

3 0

3 years ago

Can somebody explain this please

Naddika [18.5K]

In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for. Minor arc RQ is double the measure of the angle that intercepts it. That means that minor arc RQ is 2(12x-12), which is 24x - 24. The measure of the outside of any circle will always and forever be 360 degrees; therefore, 40x + 24x - 24 = 360. Combining like terms gives us 64x = 384 and x = 6. Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60. Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.

4 0

3 years ago

Use the given property of equality to complete the given statement. If a + 5 = b + 3 and a + 5 = 12, then b + 3 = ______________

Ganezh [65]

Answer:

b+3=9+3

a+5=12

a+5=b+3

12-3=9

8 0

3 years ago

Arati posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the p

zvonat [6]

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on <u>day 4</u>, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³ since you are multiplying by 1.25 3 times

--------------------------------------------------

Answer:

125 responses

5 0

3 years ago

An 80% confidence interval is found to be (0.52, 0.58) what is the sample proportion?

Mazyrski [523]

Answer: 55

Step-by-step explanation:

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3 years ago