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2 years ago

A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0 through 9.

Mathematics

1 answer:

Simora [160]2 years ago

4 0

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

$\frac{10}{36}$ or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

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Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How

Natali [406]

Answer: raise 2 to the number of days, and then multiply this value by 3.

Step-by-step explanation:

8 0

2 years ago

suppose y varies directly with x, an dy = 10 when x =3. what direct variation equations relates x and y?

Ratling [72]

The direct variation equation relates x and y is y = $\frac{10}{3}$ x

Step-by-step explanation:

Direct variation is when one variable is equal to a constant times another variable

If y varies directly with x, then

y ∝ x
y = k x is the equation of variation
k is the constant of variation

∵ y varies directly with x

∵ y ∝ x

∴ y = k x

∵ y = 10 when x = 3

- Substitute these values in the equation above to find k

∴ 10 = k(3)

∴ 10 = 3 k

- Divide both sides by 3

∴ k = $\frac{10}{3}$

∴ The equation of variation is y = $\frac{10}{3}$ x

The direct variation equation relates x and y is y = $\frac{10}{3}$ x

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

8 0

2 years ago

(-8)+(-19) i will give brainllest

MrRissso [65]

Answer:

-27

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Annaly runs with a speed of 6.66.6 miles per hour. laurie runs at 7.67.6 miles per hour. they began at the same spot, and starte

kozerog [31]

The speed at which they are separating = 6.6 + 7.6 = 14.2 mph

time = distance / speed
time = 41.18 / 14.2 = 2.9 miles answer

4 0

2 years ago

I needs help with it

Slav-nsk [51]

Answer:

a) initial height = 0 m

b) 8 s

c) vertex = (4, 32)

maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

$h=-2t^2+16t$

where:

h is the height of the arrow about the ground (in metres)
t is the time (in seconds)

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

$\implies h=-2(0)^2+16(0)$

$\implies h=0$

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

$\implies -2t^2+16t=0$

Factor out -2t:

$\implies -2t(t-8)=0$

Therefore:

$\implies -2t=0 \implies t=0$

And:

$\implies t-8=0 \implies t=8$

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds. Therefore, t = 0 and t = 8 are the x-intercepts. The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

$\implies h=-2(4)^2+16(4)$

$\implies h=-32+64$

$\implies h=32$

Therefore, the coordinates of the vertex are (4, 32)

The maximum height is the y-coordinate of the vertex.

Therefore, the maximum height is 32 m

6 0

1 year ago