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MrRissso [65]
3 years ago
13

Based on Rudy’s baseball statistics,the probability that he will pitch a curveball is 1/4.if rudy throws 20 pitches,how many pit

xhes most likely will be curveballs?
Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Expected value = probability × number of trials

X = 1/4 × 20

X = 5

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Rationalize the numerator. <br><img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B144x%20%7D%20%7D%7B%20%5Csq
Simora [160]

rationalizing the numerator, or namely, "getting rid of that pesky radical at the top".


we simply multiply top and bottom by a value that will take out the radicand in the numerator.


\bf \cfrac{\sqrt[3]{144x}}{\sqrt[3]{y}}~~&#10;\begin{cases}&#10;144=2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\&#10;\qquad 2^3\cdot 18&#10;\end{cases}\implies \cfrac{\sqrt[3]{2^3\cdot  18x}}{\sqrt[3]{y}}\implies \cfrac{2\sqrt[3]{  18x}}{\sqrt[3]{y}}&#10;\\\\\\&#10;\cfrac{2\sqrt[3]{  18x}}{\sqrt[3]{y}}\cdot \cfrac{\sqrt[3]{(18x)^2}}{\sqrt[3]{(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)(18x)^2}}{\sqrt[3]{(y)(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)^3}}{\sqrt[3]{18^2x^2y}}


\bf \cfrac{2(18x)}{\sqrt[3]{324x^2y}}~~&#10;\begin{cases}&#10;324=2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 3\\&#10;\qquad 12\cdot 3^3&#10;\end{cases}\implies \cfrac{36x}{\sqrt[3]{12\cdot 3^3x^2y}}&#10;\\\\\\&#10;\cfrac{36x}{3\sqrt[3]{12x^2y}}\implies \cfrac{12x}{\sqrt[3]{12x^2y}}

3 0
3 years ago
Read 2 more answers
1. What is the volume of the prism that can be constructed from this net?
Irina-Kira [14]
1. V = lwh
    V = (8)(4)(5)
    V = (32)(5)
    V = 160 units³

2. V = lwh + lwh
    V = (4)(2)(1) + (3)(1)(1)
    V = (8)(1) + (3)(1)
    V = 8 + 3
    V = 11 units³

3. V = leh + s³
    V = (9)(3)(4) + (3)³
    V = (27)(4) + 27
    V = 108 + 27
    V = 135 units³

4. V = lwh
    V = (3)(7)(2)
    V = (21)(2)
    V = 42 units³
3 0
3 years ago
Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Ann [662]

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

5 0
3 years ago
Christine went shopping and bought each of her eighteight nephews a​ gift, either a video costing​ $14.95 or a CD costing​ $16.8
pogonyaev
So I think you should set up an equation like this: 14.95x+16.88y=131.18 , x+y=8

so x=8-y, plug this into the original equation:
14.95(8-y)+16.88y=131.18
Evaluate: 119.60-14.95y+16.88y=131.18
Combine like terms: 119.60+1.93y=131.18
Subtract 119.60 from both sides. You get: 1.93y=11.58
Divide both sides by 1.93. You get y=6

Plug into second equation: x+y=8 ---> x+6=8 and solve for x. x=2

Christine bought 2 video games and 6 CDs. 14.95(2)+16.88(6)=131.18
4 0
3 years ago
Answer both please man. Or sorry you'll get a 1 star rating. THanks for answering guys!
Nataliya [291]

For the first one,

x = 10.

For the second one,

x = 12

5 0
3 years ago
Read 2 more answers
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