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3 years ago

5

out of 45 times at bat, Raul got 19 hits find Ralph's batting average rounded to the nearest thousandth

1 answer:

Aleksandr-060686 [28]3 years ago

7 0

Batting average = hits/total = 19/45 = 0.422

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3 years ago

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34kurt

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3 years ago

Line segment XY is a directed line segment beginning at point X(9, 2) and ending at point Y(-6, 2). Find the point Z on the line

lozanna [386]

Answer:

$(-\frac{3}{8},2)$

Step-by-step explanation:

Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:

$m=\frac{2-2}{-6-9} =\frac{0}{-15}$

Coordinates are found in this formula:

$Z(x,y)=(x_{1}+k(run),y_{1} +k(rise))$

Filling that in:

$Z(x,y)=(9+\frac{5}{8}(-15),2+\frac{5}{8}(0))$

which simplifies to

$Z(x,y)=(9-\frac{75}{8},2+0)$

which gives us the final coordinates of Z to be $Z(x,y)=(-\frac{3}{8},2)$

7 0

3 years ago

What is the quotient of d − 2 √ d 4 − 5 d 3 + d + 17

Tcecarenko [31]

Answer: $d^3 - 3d^2-5$

Step-by-step explanation:

For finding the quotient of the given division,

In the long division method, we will follow the following steps.

Step 1 : Here the divisor is d-2 and dividend is $d^4-5 d^3 + d + 17$

Multiply (d-2) by $d^3$ and subtract the dividend by the resultant.

We get $-3d^3+d$

Step 2: Multiply (d-2) by $-3d^2$ and subtract the remaining dividend by the resultant.

We get $-5d^2+17$

Step 3 : Multiply (d-2) by $-5$ and subtract the remaining dividend by the resultant.

We get $7$

Since, after getting 7 it is not possible further division,

Hence, Remainder = 7,

Quotient = sum of all expression by that we multiply (d-2) = $d^3 - 3d^2-5$

4 0

3 years ago