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Trava [24]
3 years ago
8

There were 10 horses are involved in this year’s preakness stakes. suppose you are betting to correctly pick top three finishers

. from this information alone, what would be your odds of winning?
Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0
There's a 1 in 10 chance that you get the first place correct. Next, since there are 9 horses left to choose from since the same person or something can't be first and second , there's a 1 in 9 chance for second place and 1/8 for third using that logic. Multiplying them all together, we get a 1/720 chance of guessing all three right
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Solve the quadratic equation by completing the square.x ^ 2 + 16x + 59 = 0First, choose the appropriate form and fill in the bla
nikitadnepr [17]

Given:

There are given the quadratic equation:

x^2+16x+59=0

Explanation:

To find the value of x by using completing the square, first, we need to subtract 59 on both sides of the given equation:

So,

From the given equation:

\begin{gathered} x^2+16x+59=0 \\ x^2+16x+59-59=0-59 \\ x^2+16x=-59 \end{gathered}

Now,

Take half of the x term and square it:

So,

From the x term,

\lbrack16\cdot\frac{1}{2}\rbrack^2=64

Then,

Add 64 on both sides of the above equation.

So,

\begin{gathered} x^2+16x=-59 \\ x^2+16x+64=-59+64 \\ x^2+16x+64=5 \\ (x+8)^2=5 \end{gathered}

Hence, an option first is correct:

(x+8)^2=5

Now,

From the above square:

\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}

Then,

Subtract 8 from both sides of the equation;;

So,

\begin{gathered} x+8=\pm\sqrt[]{5} \\ x+8-8=\pm\sqrt[]{5}-8 \\ x=\pm\sqrt[]{5}-8 \\ x=\sqrt[]{5}-8,\pm\sqrt[]{5}-8 \\ x=-5.7639,-10.236067 \end{gathered}

Final answer:

Hence, the value of x is shown below:

x=(-5.76,-10.24)

4 0
1 year ago
What is the measure of x°?<br><br> 1. 90°<br> 2. 101°<br> 3. 114°<br> 4. 111°
Ivenika [448]

Answer:

114

Step-by-step explanation:

The 5 angles equal 540, so subtract the 4 angles and you are left with 114.

540-111-103-122-90=114

7 0
3 years ago
TThe tall building is 1600 feet tall and 60 feet wide. Elena decides on a scale of 1 to 50 to make a model for a science project
Vikentia [17]

9514 1404 393

Answer:

  C. 32 ft tall, 1.2 ft wide

Step-by-step explanation:

A scale of 1 : 50 means the model dimensions are 1/50 of the actual dimensions. The model width will be (60 ft)/50 = 1.2 ft . . . . matches choice C.

The model height will be (1600 ft)/50 = 32 ft. (also matches choice C)

8 0
3 years ago
Select the correct answer.
frutty [35]

Step-by-step explanation:

f(x) = x

g(x) = f(x - 11)

g(x) = x

g(x) = (x - 11)

g(x) = x - 11

So, g(x) = x - 11

6 0
2 years ago
The amount of decreased divided by the original amount equals the ___of decreased
Montano1993 [528]

Answer:

Percent

Step-by-step explanation:

the amount of decrease divided by the original amount times 100 equals <u><em>percent of decrease</em></u>

8 0
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