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m_a_m_a [10]
3 years ago
7

In tennis Gabby serves in Ace a ball that can’t be returned four out of the 10 times she serves. What is the experimental probab

ility that Gabby will serve an ace on the first service of the next game? Make a prediction about how many Ace’s Gabby will make on her next 40 serves. Justify your reasoning.
Mathematics
1 answer:
just olya [345]3 years ago
3 0
She will hit 16 out of the next 40
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Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh
Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 x^{2} + kx − 13

which is divided by x+4 gives 15.

Here,

since f(x) is divided by x+4 so we can put :

x+4 = 0

x= -4

Putting this in f(x) -----> f(-4)

f(x) = f(-4) = 3 (-4^{2}) + k(-4) − 13

f(-4) = 3(16) - 4k - 13

f (-4) = 48 - 4k - 13                ------------------------------------------Equation 1

Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,

f(-4) = 15

putting in equation 1

f (-4) = 15 = 48 - 4k - 13

48 -4k - 13 = 15

35 - 4k = 15                      

35 - 15 = 4k                         (Moving - 4k on right hand side and 15 on the left)

or 20 = 4k

or 4k = 20

k = \frac{20}{4}

<h2>k = 5</h2>

4 0
3 years ago
Solve for h: -2/3h-4=4/3
Sindrei [870]

Isolate the variable by dividing each side by factors that don't contain the variable.

h = −8

3 0
3 years ago
Please Answers with steps...will be much appreciated!!!
11Alexandr11 [23.1K]
To solve the exercirses which are shown in the figure attached, you must follow the proccedure below:

 7) (x)=x³-6x²+8x
 (x)=x(x³-6x²+8)
 (x)=(x-4)(x-2)x

 The lenght is: x
 The height is= (x-4)

 8) √(2x+8)-6=4

1. You need to clear the variable "x". Then:

 √(2x+8)=4+6
 √(2x+8)=10
 (√2x+8)²=10²
 2x+8=100
 2x=100-8
 x=92/2
 x=46

 9) l4x+3l=9+2x

 1. To solve the left member, you must evaluate two cases: it could be positive,or negative. Then:

 2. Negative:

 l4x+3l=9+2x
 -4x-3=9+2x
 -4x-2x=9+3
 -6x=12
 x=12/-6
 x=-2

 3. Positive:

 l4x+3l=9+2x
 4x+3=9+2x
 4x-2x=9-3
 2x=6
 x=6/2
 x=3
4 0
3 years ago
What is the sample space for the event of flipping a coin and then spinning a four-part spinner, numbered 1, 2, 3, 4?
Anastasy [175]

Answer:it is 2 since it include3s all possible answers for both heads & tails.

Step-by-step explanation:

you can get a H1-4 & a T1-4 since you have 4 parts one the spinner & 2 things on a coin (Heads & tails) you can <u>just times 4*2 & know that you have 8 possible answers.</u>

8 0
3 years ago
When five times a number is decreased by 4, the result is 26.<br> What is the number?
ikadub [295]

Answer:

5 x 6 = 30 - 4 = 26

so the answer is 6

Step-by-step explanation:

8 0
3 years ago
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