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11111nata11111 [884]
2 years ago
13

Item 2

Mathematics
1 answer:
UkoKoshka [18]2 years ago
4 0

Answer:

12 units squared.

Step-by-step explanation:

The formula for the area of a trapezoid is 1/2(base1+base2)*height.  First, add the two bases together.  4+8=12.  Then multiply that number by both 1/2 and the height, 2.  1/2*2*12 equals 12 units squared.

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You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if
dsp73

Answer:

Step-by-step explanation:

Given that you and a friend play a game where you each toss a balanced coin.

If the upper faces on the coins are both tails, you win $1;

if the faces are both heads, you win $2;

if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).

Let Y be the amount won

Then Y can take values as 1,2 and -1

P(Y=1) =P(TT) = 0.25\\P(Y=2) = P(HH) = 0.25\\P(Y=-1) = P(HT)+P(TH) = 0.5

The above is the probability distribution for Y.

6 0
4 years ago
if the volume of a rectangular prism is 560 cubic units, what is it's volume if one dimension is halved, a second dimension is r
Margaret [11]
70 cubic units.
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5 0
3 years ago
The formula for the resistance of a conductor with voltage V and current I is r= v/1. Solve for V.
VikaD [51]
V=i x r is the formula 
8 0
3 years ago
Solve 5(x-1)^1/3 = 20
dangina [55]

Answer:

x = 65

Step-by-step explanation:

To solve the equation, we write it in radical form:

5\, \sqrt[3]{x-1} = 20

Then, we divide both sides by 5 to isolate the root:

\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4

and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

x-1=4^3\\x-1=64

now we add 1 to both sides to isolate x:

x = 65

8 0
3 years ago
For a house call, a veterinarian charges $70, plus $40 an hour. A. Write an equation that represents the total fee y y (in dolla
Elodia [21]

Answer:

Let x represents the hours and y represents the total fees(in dollars)

As per the statement:

(a)

For a house call, a veterinarian charges $70, plus $40 an hour

"$40 an hour" means 40x

then;

the equation we get;

y = 40x + 70         .....[1]

(b).

Find the x-intercept.

x-intercept states that the graph cross the x-axis.

Substitute y = 0 in the equation and solve for x;

we get;

x = -\frac{7}{4}

y-intercept states that the graph crosses the y-axis i.e

Substitute x= 0 in the equation and solve for y;

y =70

Therefore, x-intercept and y-intercept of equation [1] are:  

-\frac{7}{4} and 70

5 0
3 years ago
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