What are the subsets of red blue and yellow

What is the unit rate of 6 2/5 revolutions in 2 2/3 seconds

Mademuasel [1]

1) Convert mixed fractions into fractions.

6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 = 8 / 3

2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.

The unit rate is 12 / 5 = 2 2/5 revolutions per second.

7 0

3 years ago

Read 2 more answers

Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure o

Ghella [55]

Answer:

50degrees

Step-by-step explanation:

The sum of angle in the triangle XYZ is 180degrees, hence;

<X + <Y + <Z = 180

Given

m<X = 80degree

m<Y = m<Z

Required

m<Z

Substitute the given angle

80 + m<Z + m<Z = 180

80 + 2m<Z = 180

2m<Z = 180 - 80

2m<Z = 100

m<Z = 100/2

m<Z = 50degrees

Hence the measure of angle Z is 50degrees

3 0

3 years ago

If m YXW=18°, YW=6, and WZ=6, what is ZXY?

MA_775_DIABLO [31]

Answer:

18°

Step-by-step explanation:

It would also be 18 degrees

4 0

3 years ago

Math Problem Solving statistics and probability

luda_lava [24]

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x P(x) x × P(x) x² x² × P(x)

19 0.20 3.8 361 72.2

10 0.20 2 100 20

11 0.30 3.3 121 36.3

12 0.20 2.4 144 28.8

13 0.10 1.3 169 16.9

____________________________________________

12.8 174.2 => Total

Mean Formula

$\mu_x = \sum(x \times P(x))$ $= 12.8$

$\mu_x^2 = 163.84$

Variance Formula

$\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2$

$= 174.2- 163.84\\\\=10.36$

Standard Deviation Formula

$Standard\ deviation, \ \sigma_x = \sqrt{Variance}$

$=\sqrt{10.36}\\\\=3.218$

5 0

3 years ago

Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.

Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the $d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)$

Step3: The perpendicular distance from p to d is

$\frac{|x-5|}{\sqrt{(-1)^2+2^2}}$

$=\frac{|x-5|}{\sqrt{5}}\hfill (2)$

Step4: equating (1) and (2)

$\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}$

Step5: squaring on both sides

$(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}$

$5[(x+1)^2+(y-2)^2]=(x-5)^2$

$5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0$

$12x+y^2-2y-24=0$

Step6: Equation of the parabola is

$y^2-2y+12x-24=0$

8 0

3 years ago