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2 years ago

15

The height of a triangular prism is 6 cm and its base is an equilateral triangle with an area of 25 sq cm. Find the volume of th

e prism.

1 answer:

NARA [144]2 years ago

6 0

Answer:

150cm³

Step-by-step explanation:

volume =1/2b×bh×h

volume=25×6

=150

hope this helps

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2 years ago

Read 2 more answers

When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval

Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

$\alpha = 1-99$ %

$=1-0.99$

$=0.01$

then,

$\frac{\alpha}{2} =\frac{0.01}{2}$

$=0.005$

or,

$Z_{\frac{\alpha}{2} }=Z_{0.005}$

$=2.576$

Now,

The point estimate will be:

⇒ $\hat{P}=\frac{x}{n}$

⇒ $=\frac{110}{343}$

⇒ $=0.321$

or,

⇒ $1-\hat{P}=1-0.321$

⇒ $=0.679$

The margin of error will be:

⇒ $E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )$

On substituting the above values, we get

⇒ $=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }$

⇒ $=2.576\times \sqrt{\frac{0.217959}{343} }$

⇒ $=0.065$

hence,

⇒ $\hat{P}-E$

⇒ $0.321-0.065$

⇒ $0.256,0.386$

6 0

2 years ago

Can someone help me with this one

bonufazy [111]

Answer:

$x(2x+1)(x-2)$

Step-by-step explanation:

$x(2x^2-3x-2)$

$x(2x^2-4x+x-2)$

$x[2x(x-2)+1(x-2)]$

$x(2x+1)(x-2)$

3 0

2 years ago