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2 years ago

This is the ASVAB question If 500 people are at a concert and 70% are adults. How many children are there?

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

3 0

Answer:

150

Step-by-step explanation:

70% of 500 people are adults and the remainder are children.

30% of 500 are children

30*500/100= 150

There are 150 children

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A cube shaped box has a volume of 27 cubic inches bethany says each side of the cube measures 9 inches because 9 x 3 = 27. Is be

borishaifa [10]

Answer:

Step-by-step explanation:

The volume of the box is the product of its three dimensions, length, width, and height. The product of a number of "inches" and a "pure number" (3 has no units given) will not be "cubic inches."

_____

As it happens, the cube-shaped box with a volume of 27 cubic inches will have a height of 3 <em>inches</em> and a side area of 9 <em>square inches</em>. The edge length of the cube is 3 inches, not 9.

8 0

2 years ago

Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

2 years ago

g(x)=2x+9g, left parenthesis, x, right parenthesis, equals, 2, x, plus, 9 g ( g(g, left parenthesis ) = 15 )=15right parenthesis

Dmitriy789 [7]

Answer:

I don't understand your question

6 0

2 years ago

Read 2 more answers

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown

kiruha [24]

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) is

$(x_{M},y_{M}) = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ $x_{1}$ = -15 and $x_{2}$ = x

∴ $y_{1}$ = 13 and $y_{2}$ = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ $x_{M}$ = -24 and $y_{M}$ = 15

→ Use the rule of the mid-point to find x and y

∵ $-24=\frac{-15+x}{2}$

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

∴ -33 = x

∵ $15=\frac{13+y}{2}$

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

∴ 17 = y

∴ The other endpoint is (-33, 17)

5 0

3 years ago

Mateo started with more

NemiM [27]

Answer:

y > 75

Step-by-step explanation:

Given that:

Starting number of boxes = > 100

Number of boxes sold = 25

Number of boxes left after selling 25

Let the number of boxes left = y

y = starting number of boxes - Numbe rof boxes sold

y = 100 - 25

y = 75

Since the starting number of boxes is more than 100

Then, y should also be more than 75

y > 75

4 0

2 years ago