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ludmilkaskok [199]
3 years ago
6

Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jean

s to take
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is ^nC_r

\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}

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What is an equation in point-slope form of the line that
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Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-3, -1) and slope 2

The equation is

<h2>y + 1 = 2(x + 3)</h2>

Hope this helps you

5 0
3 years ago
A sample of 100 janitors in a certain school district found that the average time each janitor had worked for the school distric
Crank
First, we get the standard error of the mean using
σm = σ / √N
= 5 / √100
= 0.5

Next, we subtract and add 1.96 standard deviations from the mean (since the confidence interval is 95%). So,
8 ±1.96 (0.5)
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</span>E) 8±0.98
8 0
3 years ago
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a ra
n200080 [17]

Answer:

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

Step-by-step explanation:

Area of rectangle = Height x Width

A = hw

The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

\texttt{Rate of change of height = }\frac{dh}{dt}=3cm/hr\\\\\texttt{Rate of change of width = }\frac{dw}{dt}=-4cm/hr

Differentiating area with respect to time,

            \frac{dA}{dt}=h\frac{dw}{dt}+w\frac{dh}{dt}

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

          \frac{dA}{dt}=h\frac{dw}{dt}+w\frac{dh}{dt}\\\\\frac{dA}{dt}=5\times (-4)+9\times 3=-20+27=7cm^2/hr

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5 0
3 years ago
A medium egg has a mass of 50 grams what is the mass of a 8 medium egg
zhuklara [117]

Answer:

400 grams.

Step-by-step explanation:

The mass of one medium egg is 50 grams. To solve for 8 medium eggs. Multiply.

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4 0
3 years ago
Solve the following system of equations: x - 2y = 14 x + 3y = 9
Margarita [4]
Solve your system of equations step by step.

x−2y=14;x+3y=9

Solve x−2y=14 for x:

x−2y+2y=14+2y (Add 2y to both sides)

x=2y+14

Substitute (2y+14) for x in x+3y=9:

x+3y=9

2y+14+3y=9

5y+14=9(Simplify both sides of the equation)

5y+14+−14=9+−14 (Add -14 to both sides)

5y=−5

5y5=−55 (Divide both sides by 5)

y=−1

Substitute (−1) for y in x=2y+14:

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x=(2)(−1)+14

x=12(Simplify both sides of the equation)



So,

y=-1
x=12

Answer is C)

3 0
3 years ago
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