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3 years ago

13

Find the sample variance and standard deviation for the following sample. Round the answers to two decimal places as needed. 16

23 19 36 17 15

1 answer:

steposvetlana [31]3 years ago

5 0

Answer:it would be 36 that’s the answer

Step-by-step explanation:

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The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches. Which of the following expressions

Hoochie [10]

Answer:

$h\geq 52\ in$

Step-by-step explanation:

Let

h-------> the minimum height for riding on the Super Screaming Spinner at the theme park

we know that

the height may not be less than $52\ in$

so

$h\geq 52\ in$ -------> inequality that represent the situation

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4 years ago

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Of the 50 students in Mr. Mitchell’s classes, 60% are girls. On Friday,20 %

Maurinko [17]

Answer:

6

Step-by-step explanation:

60% of 50 is 30 and 20% of 30 is 6

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3 years ago

A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.

Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

$PE=mgh$

where

$mg=30 N$ is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

$KE+E_t = \frac{1}{2}mv^2 + E_t$

where:

$m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg$ is the mass

v = 13 m/s is the final speed of the stone

$E_t$ is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

$E_t=W=Fh$

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

$mgh=\frac{1}{2}mv^2+Fh$

And solving for F, we find the average force of air friction:

$F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N$

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3 years ago

Factor this equation<br> 4x^2+12x-7

Levart [38]

$4x^2+12x-7=0\\\\a=4;\ b=12;\ c=-7\\\Delta=b^2-4ac\\\\\Delta=12^2-4\cdot4\cdot(-7)=144+112=256 \ \textgreater \ 0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{256}=16\\\\x_1=\dfrac{-12-16}{2\cdot4}=\dfrac{-28}{8}=\boxed{-\dfrac{7}{2}}\\\\x_2=\dfrac{-12+16}{2\cdot4}=\dfrac{4}{8}=\boxed{\dfrac{1}{2}}$

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3 years ago

Gage skated 1 hr 15 min each day for 5 days and 1 hr 30 min each day for 3 days. How many minutes would he have to skate the nin

ruslelena [56]

Answer:help

Step-by-step explanation:

Help

3 0

3 years ago

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