What is the equation for this parabola (located above) in vertex form?

Image of spinner is attached.

Answer:

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = [tex] \frac{2}{3} [/tex]

P(B) = [tex] \frac{1}{2} [/tex]

P(C) = [tex] \frac{1}{3} [/tex]

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Answer: 594 in^3

Step-by-step explanation:

3*11*18=594 in^3

This is the rectangular prism formula.

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Liam is a tire fitter.

It takes him 124 minutes to fit 4 tires to a truck.

The number of minute for the loading of one tire will be

⇒ 124 / 4

⇒ 31 minutes per tire

a) Then the number of the minutes for loading 6 tires to a truck will be

⇒ 31 × 6

⇒ 186 minutes

b) If he works for 93 minutes. Then the number of tires can he fit will be

⇒ 93 / 31

⇒ 3 tires

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

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Answer:

They are both correct in special cases of a rectangle and rhombuses

Step-by-step explanation:

A square is quadrilateral, with four equal sides and four equal interior angles of 90°

A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore,  a square is a special case of a rectangle with all the sides equal

A rhombus is also a equilateral quadrilateral with having equal opposite angle.

Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.

Answer:

[tex] \boxed{x = 8} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]

Answer:

$9

Step-by-step explanation:

Let's make the price of toilet paper x, and the clorox wipes y.  We can then use the given information to create a system of equations.

Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!

2x+4y=36 (1)

x+3y=27 (2)

2x+6y=54 (3)  (i just mutiplied (2) by 2 so that i could eliminate x)

2y=18 (3)-(1)

y= $9/pack

Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

hope this helped

Answer:

De value of k is 9

Step-by-step explanation:

6,-1

b(1,3)

(k,8)

am using bodmas

a6-1×1=6a

b1×3=3b

abc=8

6a+3b+8=17-8

=9

Answer:

Using distance formula :

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB² = 45

AB = 6.71 units

Answer: ok what do you need help with

Step-by-step explanation:

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer: 5

Step-by-step explanation:

Answer:xxxxxxxxx

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of  the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:

36 = 45- 3 x 3

54 = 45 + 3 x 3

Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.

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Answer:

-5 5/8

Step-by-step explanation:

A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.

I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.

Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!

Answer:

4.375 miles

Step-by-step explanation:

7/8/12=x/60

12x=60(7/8)

12x=52.5

x=4.375

Answer:

They all end in 0 or 5

Step-by-step explanation:

Answer:

They all end in 0 or 5.

Step-by-step explanation:

15, 20, 25, and 30 all end in either 0 or 5.

Answer:

4/xt 3 sqaured

Step-by-step explanation:

Answer:

A. 16.2 cm

Step-by-step explanation:

I took the test

The width of ornament is 16.2 cm.

The formula for the volume of a sphere is V = 4/3 πr³.

As, the ornament is in shape of sphere.

Volume of sphere= 4/3 * π * r³

2226.09 = 4/3* 3.14 *  r³

r³= 2226.09  * 3 / 4*3.14

r³= 6,678.27  / 12.56

r³ = 531.7093949044586

r= 8.101

Hence, width = 2* 8.101= 16.2 cm

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Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

Answer:a and c

Step-by-step explanation:

Answer:

4³=64

Step-by-step explanation:

A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.

Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).

》 4×4×4=64

Answer:

Exact Form: x=7/9  Decimal Form: 0.7 (repeating)

Step-by-step explanation:

Hope this helps!! :)

Answer:the slope is 20

Step-by-step explanation:

Answer:

m=20

Step-by-step explanation:

The line is in point slope form, or

y=mx+b

where m is the slope and b is the y-intercept

For the equation

y=20x

20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20

Answer:

50%

Step-by-step explanation:

Hope it helps

We have the following information:

first urn: 6 green balls and 3 red ones

total: 6 + 3 = 9

second urn: 3 green, 3 white and 3 red

total: 3 + 3 + 3 = 9

third urn: 6 green, 1 white and 2 red

total: 6 + 1 + 2 = 9

a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.

b) probability of drawing a green, red and white ball.

first urn:

green = 6/9 = 66.66%

red = 3/9 = 33.33%

white = 0/9 = 0%

second urn:

green = 3/9 = 33.33%

red = 3/9 = 33.33%

white = 3/9 = 33.33%

third urn:

green = 6/9 = 66.66%

red = 2/9 = 22.22%

white = 1/9 = 11.11%

c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%

d) without a green ball, the third ballot box would look like this:

5 green balls, 2 red balls and 1 white ball, with a total of 8.

The probability of drawing would be:

green = 5/8 = 62.5%

red = 2/8 = 25%

white = 1/8 = 12.5%

The length of the third side of a right triangle is 35.7 m

"It is a triangle whose one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]

where z is the hypotenuse and x, y are other two sides of the right triangle."

For given question,

We have been given the two sides of a right triangle.

leg = 29 m; hypotenuse = 46 m

Let 'a' be the other leg of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]

Therefore, the length of the third side of a right triangle is 35.7 m

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Answer:

There are exactly 2 π radians in a full circle.

There are approximately 6.28  radians in a full circle.

2π radians is equivalent to  360  degrees.

Answer:

1 4 4

Step-by-step explanation: