You roll a number cube 20 times. the number 4 is rolled 8 times. what is the experimental probability of rolling a 4?

The total area of the figure in this problem is given as follows:

41.3 ft².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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Answer:

\(Area = 24.8 cm^2\)

Step-by-step explanation:

Given

\(PQ = 4.9cm\)

\(RQ = 11 cm\)

\(<Q = 113\ degrees\)

Required

Find the area of the triangle

When presented with a triangle where two sides are known and an angle between the two sides; The area is solved as follows;

\(Area = \frac{1}{2}ABSinC\)

Where A and B are the two known sides and C is the angle between A and B

Having said that;

The area of the triangle is calculated as thus;

\(Area = \frac{1}{2} * RQ * PQ * SinQ\)

\(Area = \frac{1}{2} * 11 * 4.9 * Sin113\)

\(Sin113 = 0.9205\)

Hence, the equation becomes

\(Area = \frac{1}{2} * 11 * 4.9 * 0.9205\)

\(Area = \frac{11 * 4.9 * 0.9205}{2}\)

\(Area = \frac{49.6152}{2}\)

\(Area = 24.8076\)

\(Area = 24.8 cm^2\) --- Approximated

Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

The measure of Angle A in degrees is approximately 219.99 degrees

To find the measure of Angle A in degrees, we need to consider the given information: the circle is centered at the vertex of Angle A, the subtended arc is 4.4 cm long, and \(\frac{1}{360}\)th of the circle's circumference is 0.02 cm.

Step 1: Calculate the circumference of the circle.
Since 1/360th of the circumference is 0.02 cm, we can find the entire circumference by multiplying 0.02 cm by 360.
Circumference = 0.02 cm (360) = 7.2 cm

Step 2: Determine the proportion of the circumference that corresponds to the subtended arc.
Divide the length of the arc (4.4 cm) by the circumference (7.2 cm).
\(Proportion = \frac{4.4}{7.2} = 0.6111\)

Step 3: Calculate the measure of Angle A in degrees.
Since the proportion corresponds to the fraction of the circle's circumference, we can find the angle by multiplying this proportion by 360 degrees.
Angle A = 0.6111 (360 degrees) =219.99 degrees

The measure of Angle A in degrees is approximately 219.99 degrees.

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Answer:

y = x-5

Step-by-step explanation:

-x + y = - 5

y = - 5 + x

y = x - 5

If two angles are complementary, that means their sum is 90 degrees

Let us draw a sketch to see the relationship between sine and cosine the complementary angles

Since , then

and

Since sinX = b/c

Since cosZ = b/c

Then sinX = cosZ

Since cosX = a/c

Since sinZ = a/c

Then cosX = sinZ

In the complementary angles, sine the first is equal to cosine the second

Since cos(X) = 9/11, then

Sin(Z) = 9/11

The correct answer is B

Let the age of Maisie be x

From the first statement, Ellie is six years older than Maisie implying:

From the second statement, Zoe is twice as old as Eli implying:

From the last statement, the sum of their ages is 50 implying:

Solving for x:

We open the bracket and collect like terms

Hence, Zoe's age is:

Answer:

Zoe's age = 28

Answer:

C) 140

Step-by-step explanation:

We can see from the diagram that mMEF + mDEM = mDEF because they share the same lines.

Therefore:

69x + 2 + 34 = 2 + 86x

Now we can solve this equation.

First we can eliminate the +2 from each side as they will cancel:

69x + 34 = 86X

And then rearrange to solve for x:

34 + 69x - 69x = 86x - 69x

34 = 17x

34/17 = 17x/17

x = 2

Now that we have the value for x, we can substitute it into the original equation:

mMEF = 69(2) +2

mMEF = 138 + 2

mMEF = 140

Therefore the correct answer is C) 140.

Hope this helped!

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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a) yellow jellybeans = 2g beans

b) red jellybeans = g-5 beans

c) black jellybeans = g+4 beans

hope this helps!!

Answer:

15 pounds

Step-by-step explanation:

Kevin is making potato casserole for a dinner party. He needs 2½ pounds of potatoes per guest. How many pounds of potatoes will he need for 6 guests?

15 pounds

6.5 pounds  

25 pounds

12.5 pounds

2.5lb × 6 guest = 15 pounds

Answer: 15 pounds of potatoes.

Step-by-step explanation:

Kevin will perform basic multiplication to find how many potatoes he needs for all of the guests. Since each person requires 2 1/2 pound of potatoes and there are a total of 6 guests, multiplying these two values will find the pounds of potatoes that are needed for all of the guests.

2 1/2 * 6 = 15 pounds of potatoes

Therefore, Kevin needs 15 pounds of potatoes to make potato casserole for everyone at the dinner party.

The value of the coordinate matrix is \(\begin{bmatrix} 2&3 &0 \\ 2& 2 & 6\\ 0& 2 &4 \\0 & 0& 2\end{bmatrix}\)

To find the coordinate matrix LFE, we need to express the images of the basis vectors of E in terms of the basis vectors of F. Let's start with e₁(t) = 1, which is a constant polynomial of degree 0. Applying L to this polynomial gives us L(e₁(t)) = 5(0) + 3(0) + 2(1) + 2t(1) = 2 + 2t. We want to express this polynomial as a linear combination of the basis vectors of F, so we write:

2 + 2t = a₁f₁(t) + a₂f₂(t) + a₃f₃(t) + a₄f₄(t)

where a₁, a₂, a₃, and a₄ are unknown coefficients. We can substitute the definitions of the basis vectors of F to obtain:

2 + 2t = a₁ + a₂t + a₃t² + a₄t³.

This is a system of linear equations in the variables a₁, a₂, a₃, and a₄. We can solve this system to obtain the coefficients as follows:

a₁ = 2

a₂ = 2

a₃ = 0

a₄ = 0

Therefore, the coordinate vector of L(e₁(t)) with respect to the basis F is [2, 2, 0, 0]ᵀ. Similarly, we can find the coordinate vectors of L(e₂(t)) and L(e₃(t)):

L(e₂(t)) = 5(0) + 3(1) + 2t(1) + 2t² = 2t² + 2t + 3

⇒ [L(e₂(t))]ₘ = [3, 2, 2, 0]ᵀ

L(e₃(t)) = 5(2) + 3(2t) + 2t²(1) + 2t(t²) = 2t³ + 4t² + 6t

⇒ [L(e₃(t))]ₘ = [0, 6, 4, 2]ᵀ

Finally, we can arrange these coordinate vectors as columns of a matrix to obtain the coordinate matrix LFE:

LFE = \(\begin{bmatrix} 2&3 &0 \\ 2& 2 & 6\\ 0& 2 &4 \\0 & 0& 2\end{bmatrix}\)

This is a 4x3 matrix because the range space has dimension 4 and the domain space has dimension 3. Each column of the matrix represents the coordinates of the image of a basis vector of E in terms of the basis vectors of F.

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Complete Question:

Let L: P2 → P3 be the linear transformation given by

L(p(t)) = 5p"(t) + 3p'(t) + 2p(t) + 2tp(t).

Let E = (e₁, e₂, e₃) be the basis of P2 given by e₁(t) = 1, e₂(t) = t, e₃(t) = t². and let F = (f₁, f₂, f₃, f₄) be the basis of P3 given by f₁(t) = 1, f₂(t) = t, f₃(t) = t² , f₄(t) =t³".

Find the coordinate matrix LFE of L relative to the ordered bases E and F.

Using the concepts of domain and range of functions, we have that:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

Hence, for these problems:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.

In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.

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Answer:

Find the rate of sales tax

R= 9000/120000

=0.075

=7.5%

So, the rate is 7.5%

The new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

Given, that ratio of rice between max, victor and roman

Ratio : A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of rice that Max, Victor, and Roman have as 3x, 2x, and 4x, respectively.

The total ratio of the amounts of rice is 3+2+4 = 9,

So each "part" of the ratio is 1/9.

If Victor gives 1/4 of his rice to Roman, he will give away

(1/4) × (2x) = 1/2x rice to Roman, and he will be left with

(3/4) × (2x)

= 6/4x

= 3/2x rice.

Roman will receive 1/2x rice from Victor and will have

4x + 1/2x = 9/2x rice in total.

So the new amounts of rice that Max, Victor, and Roman have are 3x, 3/2x, and 9/2x, respectively.

The new ratio of the amounts of rice is (3x):(3/2x):(9/2x).

To simplify this ratio, we can multiply all parts by 2 to get:

6x:3x:9x

And then divide all parts by 3x to get:

2:1:3

Hence, the new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

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The new ratio of the amount of rice that Max has to the amount that Victor has after Victor gives away 1/4 of his rice to Roman is 2:1.

Let's assume the amount of rice Max, Victor, and Roman have are 3x, 2x, and 4x units respectively. Now, if Victor gives 1/4 of his rice to Roman, Victor's amount will decrease by 1/4*2x = 0.5x, therefore, Viktor will have 2x - 0.5x = 1.5x units of rice. So, the new ratio of the amount of rice Max to the amount of rice Victor will be 3x:1.5x or, simplifying, 2:1.

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Answer:The total length of ribbon = 4½ m = 4.5 m. = 4.5 m x (100 cm/1 m). = 450 cm. The number of pieces of ribbon, each 4.5 cm long, that can be cut from a length

Step-by-step explanation:

Answer:

3.333

the three continuous

Answer:

C

Step-by-step explanation:

two digits at the last of a number divisible by 4

Answer:

4 sigfig is 164.4

3 sigfig is 164.

1 sigfig is 200

hope that answers your question

comment for more explanation

SORRY

I did as much as I could, Hope I helped!!!

If you want I would really like it If I was brainliest

Answer: m<F = 134
EF = 18in

Step-by-step explanation:
Since both angles FEG and FGE are equal, we could make out that lines EF and FG are equal measures making an isosceles triangle. Therefore we just add up both 23 to get 46 and subtract it by 180 getting 134

The equation to show the cost of the new tiled floor is 500 + 5x.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the square foot be illustrated as x.

In this situation, Desmond is looking to purchase a new tile floor for his kitchen. The floor cost $5 per square foot of tile in addition to a $500 instillation fee.

The equation will be:

= 500 + 5(x)

= 500 + 5x

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Answer:

my guess is 1?

Step-by-step explanation:

I just guess

Step-by-step explanation:

the triangle GAS is congruent with the triangle IOL (I know, it is tempting to say OIL, but it is important to show the sequence of the corresponding corners, so G corresponds to I, A to O and S to L) by AAS (angle-angle-side) : 2 angles and a not included but corresponding side are equal between the 2 triangles.

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Answer:

Simplified ratio: 3:7

Step-by-step explanation:

First, find the ratio of video racing games to the total amount of games that Neveah has.

14 total games, 6 video games = 6:14

Next, simplify 6:14

3:7

Hope this helps :)

Answer:

3:7

Step-by-step explanation:

The ratio of racing games to total video games is:

6:14

but since we're talking about simplest form, it would be:

3:7

So, you would reduce it to the least.

Answer:

55%

Step-by-step explanation:

I hope this helps!!

0.0015 in scientific notation

= 1.5 × 10-3

1.5×10^3

hope i helped!