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Over [174]
3 years ago
9

Pls help

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

20.2 feet

Step-by-step explanation:

Using Pythagoras theorem, we have

Height^2+13^2=24^2, height=sqrt(407)=20.2

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A marketing firm claims that its ad campaign will increase sales for a fast-food chain by 15%. In a random sample of 49 stores,
enyata [817]

Answer:

4.20

Step-by-step explanation:

Given data:

the average increase in sales 'x' = 18

ad campaign will increase sales for a fast-food chain 'μ'= 15

standard deviation 'σ'= 5

random sample of stores 'n'=49

In order to determine z-value, we use the formula i.e

z=( x-μ ) / (σ/\sqrt{n} )

z=( 18-15) / (5/\sqrt{49 )

z= 3/ 0.714

z= 4.20

4 0
4 years ago
Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take o
Anastaziya [24]

Answer:

the cyclists rode at 35 mph

Step-by-step explanation:

Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then

distance= speed*time

since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :

time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train

thus denoting v as the speed of the cyclists :

7/8*L / v = L / 40 mph

v = 7/8 * 40 mph = 35 mph

v= 35 mph

thus the cyclists rode at 35 mph

6 0
4 years ago
Slope intercept form -6×+3y=9
Mars2501 [29]

Answer:

m=-3 b=6

Step-by-step explanation:

3y= -6x + 9

divide everything by 3

y=-3x+6

m=-3 b=6

4 0
4 years ago
Read 2 more answers
(10x^3y^-2/5x^-3y^4)^-3, x≠0, y≠0
zhenek [66]

Answer:

  \dfrac{y^{18}}{8x^{18}}

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

__

Your expression simplifies as follows:

  \left(\dfrac{10x^3y^{-2}}{5x^{-3}y^4}\right)^{-3}=(2x^{3-(-3)}y^{-2-4})^{-3}=(2x^6y^{-6})^{-3}\\\\=(2^{-3})x^{6(-3)}y^{(-6)(-3)}=\dfrac{1}{8}x^{-18}y^{18}\\\\=\boxed{\dfrac{y^{18}}{8x^{18}}}

6 0
4 years ago
1. Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyr
Cloud [144]

Answer:

Devin will need 9 cubes of wax.

Step-by-step explanation:

To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.

Once you get 8.4375 cubes, you round to the next whole number, which is nine.

4 0
3 years ago
Read 2 more answers
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