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3 years ago

If I spin the spinner 200 times, how many times may I expect it to land on blue?

Mathematics

2 answers:

Maksim231197 [3]3 years ago

6 0

200 divide by 5 is 40
so you should expect it to land on blue 40 times

vitfil [10]3 years ago

4 0

Answer:

Step-by-step explanation:

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Here is rectangle QRST.

ValentinkaMS [17]

Answer:

QR = 5 units

RS = 10 units

Perimeter of QRST = 30 units

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

$p=2(l+w)$

where

$p$ is the perimeter of the rectangle

$l$ is the length of the rectangle

$w$ is the width of the rectangle

Now, to find the width, QR, and the length, RS, of the rectangle, we are using the distance formula:

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

where

$d$ is the distance

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

- For QR:

The first point of QR is Q(-3, 0) and the second is R(0, 4), so $x_1=-3$ , $y_1=0$ , $x_2=0$ , and $y_2=4$ .

Replacing values

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

$d=\sqrt{(0-(-3))^{2}+(4-0)^{2}}$

$d=\sqrt{(0+3)^{2}+(4)^{2}}$

$d=\sqrt{3^{2} +4^{2}}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d=5$

- For RS

The first point of RS is R(0, 4) and the second is S(8, -2), so $x_1=0$ , $y_1=4$ , $x_2=8$ , and $y_2=-2$ .

Replacing values

$d=\sqrt{(8-0)^{2}+(-2-4)^{2}}$

$d=\sqrt{(8)^{2}+(-6)^{2}}$

$d=\sqrt{64+36}$

$d=\sqrt{100}$

$d=10$

Now that we know that the width QR is 5 units and the length RS is 10 units, we can find the perimeter of our rectangle:

$p=2(l+w)$

$p=2(RS+QR)$

$p=2(10+5)$

$p=2(15)$

$p=30$

We can conclude that QR = 5 units, RS = 10 units, and the perimeter of rectangle QRST is 30 units.

3 0

3 years ago

Read 2 more answers

8. Which of the following numbers is prime? 14 51 47 27

Dahasolnce [82]

Answer:

8: 14 is the prime number

9: 15 is the composite number

Step-by-step explanation:

I hope this helped :)

7 0

3 years ago

Read 2 more answers

Erin had 55 stuffed bears. She took out her favorite 7 bears and then equally divided the other bears among her 3 sister. Erin’s

MrRissso [65]

Answer:

Su has 17 bears

Step-by-step explanation:

Su has 15, Erin takes out 7 of her collection and splits evenly. each sister should get 2 each. Su has 17.

3 0

3 years ago

The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1

stiks02 [169]

Answer:

Option d. $4y+2x\leq -1$

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a) $y\geq2x+8$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-3\geq2(5)+8$

$-3\geq18$ -----> is not true

therefore

the ordered pair is not a solution

case b) $-2y$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-2(-3)$

$6$ -----> is not true

therefore

the ordered pair is not a solution

case c) $y-2x>5$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(5)>5$

$-13>5$ -----> is not true

therefore

the ordered pair is not a solution

case d) $4y+2x\leq -1$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$4(-3)+2(5)\leq -1$

$-2\leq -1$ -----> is true

therefore

the ordered pair is a solution

7 0

4 years ago

Solve the following quadratic equation by using the quadratic formula.

Bas_tet [7]

Answer:

B. $\frac{-3}{4}$ ± $\frac{\sqrt{41} }{4}$

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

$x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}$

x= $\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}$

Solve for x.

x= $\frac{-3+-\sqrt{9+32} }{4}$

x= $\frac{-3+-\sqrt{41} }{4}$

The answer is x= $-\frac{3}{4}$ ± $\frac{\sqrt{41} }{4}$

6 0

3 years ago