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2 years ago

10

Whats 20 inches and 7 feet as a fraction in simpalist form

1 answer:

Rudik [331]2 years ago

7 0

4 4/7 feet is it's simplest form because 20 I'm chea equal 1.67 feet and 7 feet equals 84 inches so do 20 × 4 = 80 then you would have 4 left over and turn that into 4/7

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A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism

zlopas [31]

Answer:

Height = 19mm.

Step-by-step explanation:

Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.

Here A = 5, P = 5*12 = 60 so

Area of the base = (5 * 60) / 2 = 150 mm^2.

Volume = area base * height so

Height = volume / area of base

= 2850 / 150

= 19 mm.

5 0

1 year ago

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

larisa [96]

Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

3 0

2 years ago

On the trip from KC to Springfield, the church van consumed 15 gallons of gas to go 179 miles. If gas cost $2.58 per gallon, wha

Otrada [13]

Answer:

$77.4

Step-by-step explanation:

GIVEN: On the trip from KC to Springfield, the church van consumed $15$ gallons of gas to go $179$ miles. If gas cost $\$2.58$ per gallon.

TO FIND: Cost of a round trip to Springfield.

SOLUTION:

Distance of springfield from KC $=179\text{ miles}$

As it is a round trip total distance $=2\times179=358\text{ miles}$

As $15$ gallons gas used for $179$ miles distance

gas required for $1$ mile $=\frac{15}{179}$ gallons

gas required for $358$ miles $=\frac{15}{179}\times2=30$ gallons

cost of one gallon of gas $=\$2.58$

cost of $30$ gallons of gas $=30\times2.58=\$77.4$

Hence cost of roundtrip to Springfield is $77.4

6 0

2 years ago

Please someone help me I don’t understand

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

Remark

The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.

Solution

<x = 1/2 (arc measure of 116 + 74)

<x = 1/2 (190)

<x = 95

8 0

1 year ago

3p -3= 8p+5 need help please

lys-0071 [83]

Answer:

$\frac{8}{5} -= p$

Step-by-step explanation: 3p -3 =8p + 5 3 +5 =8p -3p 8=5p $\frac {8}{5}- = p$

6 0

2 years ago

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