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Tresset [83]
3 years ago
5

Simplify the expression. (Will mark if correct)

Mathematics
2 answers:
NeTakaya3 years ago
8 0

Yo sup??

given expression=9a+3b-4a-2b

(taking like terms together)

=9a-4a+3b-2b

=5a+b

Therefore the correct answer is option B

Hope this helps

Sergeu [11.5K]3 years ago
4 0

Answer:

The answer is B) 5a + b

Step-by-step explanation:

9a - 4a is 5a

3b - 2b is 1b or just b therefore the answer is

5a + b

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A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what
Elena L [17]

Answer:

The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199

Step-by-step explanation:

The given probability that the pitcher throws a strike, p = 0.507

The number of pitches thrown by the pitcher = 15 pitches

The probability that the pitcher does not throw a strike, q = 1 - P

∴  q = 1 - 0.507 = 0.493

By binomial theorem, we have;

P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}=  \dbinom{n}{r}p^{r} \cdot \left (1-p  \right )^{n-r}

When X = r =  8, and n = 15, we get;

The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows

P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199

8 0
3 years ago
Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculato
Rom4ik [11]

Answer:

628.3 mi ³

Step-by-step explanation:

The formula for the volume of a cylinder is equal to πr²h, where r represents the radius of a circle on either the top/bottom of the cylinder and h represents the height. Here, the radius is given as 5 and the height as 8, so our volume is

πr²h = π (5)² h= π(25)(8) ≈ 628.3

4 0
2 years ago
PLEASE HELP I WILL GIVE BRAINLEST
nadya68 [22]

OK.  All the work is in the attached drawing.

Please spend enough time with it to understand what was done and how, so that you can do the next problem like this one completely on your own.

Good luck !

==============================

Here's a picky pickypoint to think about concerning the "cost".  I'm not quite sure what to do about this:

The initial, one-time $55 is a "deposit".  If she doesn't smash the bike or steal it, she gets the $55 back when she returns the bike.  

So if she eventually gets the $55 back, <u><em>is it a cost</em></u> ? ?  I don't know how to think about it.

She does need to <em>give</em> them the $55 at the beginning, just to take the bike out.  So she has to have it with her and give it to them temporarily, even though she'll  get it back, and she'll still have it when she returns home.

So here's the story:  

-- While she HAS the bike, the graph correctly shows all the money she needs, in order to get the bike, and keep it for however long she keeps it.

-- Finally, at the end of the week, after she returns the bike and gets her $55 back, the line and everything on the graph will shift down by $55.  The line will start at zero, and the little red ordered pairs will also shift straight down and still be on the line.

To put it one more way:

-- While Jen has the bike, the y-intercept of the graph is $55.

-- After she returns the bike in good condition, the y-intercept is zero.

6 0
3 years ago
Find the gradients of line a and b
gayaneshka [121]

Answer:

Gradient of A: 2

Gradient of B: -1

Step-by-step explanation:

Gradient = change in y/change in x

✔️Gradient of A using two points on line A, (2, 5) and (0, 1):

Gradient = (1 - 5)/(0 - 2) = -4/-2

Simplify

Gradient of A = 2

✔️Gradient of B using two points on line B, (0, 5) and (5, 0):

Gradient = (0 - 5)/(5 - 0) = -5/5

Simplify

Gradient of B = -1

5 0
2 years ago
I need help with this problem please
GrogVix [38]

Answer:

j = 2/3

Step-by-step explanation:

-1/3 = -1/2 j

Multiply each side by -2

-1/3 * -2 = -1/2 j * -2

2/3 =j

3 0
2 years ago
Read 2 more answers
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