In a probability experiment, a student tosses a number cube labeled I through 6. The table shows the probability for each of three different
outcomes
Outcome
Probability
an odd number on top
a 5 on top
a number less than 7 on top
1
Move the choices to arrange the outcomes in order of likelihood.
least likely
most likely
a 5 on top
an odd nurnber on top
a number less than 7 on top

Answer:

14.6

Step-by-step explanation:

We solve using the Trigonometric function Cosine

cos θ = Adjacent/Hypotenuse

θ = 40°

Hypotenuse = 19

Adjacent = x

Therefore,

cos 40 = x/19

Cross Multiply

x = cos 40 × 19

x = 14.554844419

Approximately to the nearest tenth,

x = 14.6

Answer:

g

Step-by-step explanation:

Answer:

g is the answer trust me all the best

Answer:

A, C, and D

Step-by-step explanation:

Answer:

I'm pretty sure it's 18 degrees

Step-by-step explanation:

Answer:

To find the hypotenuse, you would use the formula a^2 + B^2 = C^2

That is the formula for the pythagorean theorem.

I suggest you first plot it on a graph, then could the units on the sides that make up the legs.

When you plot it, the legs are both 1 unit.

so it would be, following the formula:

1^2 + 1^2 = c^2

1 x 1 + 1 x 1 = c^2

2 = c^2

Then you square root:

√2 = √c^2

1.41421356 = c

1.41421356 rounded to the nearest tenth is 1.4.

So the length of (5,1), (4,0) is ≈1.4

Answer:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

Answer:

The identity property

Step-by-step explanation:

.......

Answer: 68

Step-by-step explanation:

Simplifying the expression:

= 8a² + 6b + 9a² + 9b² + 3b

Collect like terms

= 8a² + 9a² + 6b + 3b + 9b²

= 17a² + 9b + 9b²

We then substitute a=2,b=−1.

= 17a² + 9b + 9b²

= 17(2)² + 9(-1) + 9(-1)²

= 68 -9 + 9

= 68

Answer:

x = 25

Step-by-step explanation:

Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)

If we substitute the side lengths for the question in a²+b²=c², you'll get

20²+15²=x²

Simplifying the numbers and squaring them, you get

400+225=625²

Since you want the value of the x side, you'll need to root 625.

√625=25

Therefore, x = 25

Answer:

x = 25

Step-by-step explanation:

To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.

Plug in our values for a and b and solve for x.

[tex]a^2+b^2=c^2[/tex]

[tex]20^2+15^2=c^2[/tex]

[tex]400+225=c^2[/tex]

[tex]625=c^2[/tex]

[tex]\sqrt{625}[/tex] = [tex]\sqrt{c^2}[/tex]

[tex]25=c[/tex]

c, or x is equal to 25. The missing sidelength is 25 units.

Good luck ^^

Answer:

C. 3.5 mi

Step-by-step explanation:

Reference angle = angle of elevation

Angle of elevation = angle of depression = 6° (alternate angle theorem)

Hypotenuse = x

Opposite = 1905 ft

Apply trigonometric function SOH:

Sin 6° = Opp/Hyp

Sin 6° = 1905/x

x * Sin 6° = 1905

x = 1905/Sin 6°

x = 18,224.7 ft

Convert form feet to miles

1 mi = 5,280 ft

Therefore,

18,224.7 = 18,224.7/5,280

= 3.45164773 mi

≈ 3.5 mi (nearest mile)

Answer: this is an arithmetic sequence and the common difference is equal to -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

23

Answer:

10 cm

Step-by-step explanation:

The volume of a rectangular prism is calculated by multiplying the length, width and height together. So, to find one of the dimensions, all we need to do is divide the volume by the given dimensions. In this case we divide the volume, 640, by the height, 5, and length, 8.

The width, or w, is equal to 640 divided by 5 and 8.

w = 640 ÷ 5 ÷8

w = 80 ÷ 8

w = 10

The width is 10 cm.

I hope this helps ^^ Good luck n.n

Answer:

-1 i think

Step-by-step explanation:

Answer: [tex]39\ \text{Ounces}[/tex]

Step-by-step explanation:

Given

The amount of cashews is [tex]1\frac{1}{4}\ \text{Pounds}[/tex]

Amount of almonds [tex]7\ \text{ounces}[/tex]

The amount of pecans is [tex]\frac{3}{4}\ \text{Pounds}[/tex]

We know, [tex]1\ \text{Pound}=16\ \text{Ounces}[/tex]

Converting pounds to ounces and adding them

[tex]\Rightarrow 1\dfrac{1}{4}\times 16+7+\dfrac{3}{4}\times 16\\\\\Rightarrow \dfrac{5}{4}\times 16+7+3\times 4\\\\\Rightarrow 20+7+12=39\ \text{ounces}\ or\ \dfrac{39}{16}\ \text{Pounds}[/tex]

Thus, the nuts weigh [tex]39\ \text{Ounces}[/tex]

Answer:

d. $681.15

Step-by-step explanation:

Bedroom 1:

Width = 10 ft

Length = 8.5 ft

Area of bedroom 1 = length × width

= 10 ft × 8.5 ft

= 85 ft²

Bedroom 2:

Width = 11.75 ft

Length = 13.25 ft

Area of bedroom 2 = length × width

= 11.75 ft × 13.25 ft

= 155.6875 ft²

Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²

= 240.6875 ft²

If the

carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?

Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot

= 240.6875 ft² × $2.83

= $681.145625

Approximately $681.15

Answer: 32 matches

Step-by-step explanation:

Let the games in total that the baseball team played be represented by x.

Based on the information given in the question, we can form an equation as:

62.5% × x = 20

62.5/100 × x = 20

0.625 × x = 20

0.625x = 20

x = 20/0.625

x = 32

The team played a total of 32 matches.

Answer:

b is the answer I believe so because it have to be greater than 0

Step-by-step explanation:

I hope it's right and if not my bad

Answer: [tex]y=\dfrac{3}{4}x[/tex]

Step-by-step explanation:

Given

3 cups of milk are required for 4 cups of flour

Suppose there are x cups of milk and y cups of flour

So, according to the question

[tex]\Rightarrow 3x=4y\\\\\Rightarrow y=\dfrac{3}{4}x[/tex]

The above equation represents the linear equation.

Answer:

$2471.53

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(nt), where n is the number of compoundings per year

Here,

A = ($2,400)(1 + 0.019/12)^(12·3), or

      ($2,400)(1.0015)^36

    =  ($2,400)(1.026) =

     =  $2471.53

Answer:

1 hour and 43 min

Step-by-step explanation:

I TOOK THE TEST IN K12

Given:

A regular hexagon with side 11.5 units and apothem 10 units.

To find:

The area round to the nearest tenth.

Solution:

Area of a regular polygon is:

[tex]A=\dfrac{1}{2}Pa[/tex]           ...(i)

Where, P is the perimeter and a is the apothem.

The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.

[tex]P=6\times 11.5[/tex]

[tex]P=69[/tex]

Putting [tex]P=69,a=10[/tex], we get

[tex]A=\dfrac{1}{2}(69)(10)[/tex]

[tex]A=(69)(5)[/tex]

[tex]A=345 [/tex]

Therefore, the area of the regular polygon is 345.0 square units.

Answer: (6, -30)

Step-by-step explanation:

Substitute the points into the equation:

3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.

-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.

-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on  the graph.

-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.

Answer: $27.89

Step-by-step explanation:

Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.

Thus, 80×0.9^10 = 27.89

Given :

Magnitude of vector is 30 units.

Direction of vector from x-axis is 116°.

To Find :

The component form of the vector.

Solution :

We know, vector in component form is given by :

[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]

Putting given values,

[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]

Hence, this is the required solution.

Answer:

A. 14.4

b. x-20%

c. 23 dollars

Step-by-step explanation:

you have to take away the 20% or multiply the price by 0.2 which is 20%

Answer:

d. 127.41

hope it helps....