Two bags contain 10 balls each. Every round, you choose with equal probability one of the 2 bags and pick out a ball. After a while, you choose an empty bag. What is the probability for the other bag to contain exactly 4 balls at that time?
a. 2.90%
b. 6.10%
c. 10.80%
d. 12.20%

The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.

Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.

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The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.

Answer:

Step-by-step explanation:

17. 1 foot=12 inches

So subtract 12 from 28

28-12

=16

Lena's puppy will grow 16 inches more.

18. The kittens can be

3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)

There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)

Hopefully this helps!!!

☁️ Answer ☁️

17. The puppy will grow 16 inches

One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.

18. 24.5

the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces

The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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since we know the diameter is 50, then its radius is half that or 25.

\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}\)

With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Given:

Spoilage rate of fruits = 9% = 0.09

To find:

Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.

Solution:

Let the required amount of fruits you should order be x.

So, spoiled fruits = 9% of x = 0.09x

He would like to have 100 pounds of peaches to sell.

\(x-0.09x=100\)

\(0.91x=100\)

Divide both sides by 0.91.

\(x=\dfrac{100}{0.91}\)

\(x=109.89\)

\(x\approx 110\)

The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.

The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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Answer:90 shirts

Step-by-step explanation: do 1.5 x 1.6 = that answer and + 60 to that answer ok

(I would appreciate a Brainliest rating if this helped you)

Answer:

Probably your question needs more information, but check step by step.

Step-by-step explanation:

The equation Y=5-x represents a straight line on a coordinate plane. The "Y" represents the vertical axis (also called the "y-axis"), and the "x" represents the horizontal axis (also called the "x-axis").

To find the value of "y" for a given value of "x", you can plug in the value of "x" into the equation and solve for "y". For example, if "x" is 2, then:

 Y = 5 - x

 Y = 5 - 2

 Y = 3

So when "x" is 2, "y" is 3.

Similarly, if you have a value for "y" and want to find the corresponding value of "x", you can plug in the value of "y" into the equation and solve for "x". For example, if "y" is 4, then:

 y = 5 - x

 4 = 5 - x

 x = 5 - 4

 x = 1

So when "y" is 4, "x" is 1.

Hope that helps! Let me know if you have any further questions.

The sample space of number cube 1 = {1,2,2,3}

The sample space of number cube 2 = {1,3,4,5}

X is the product of the numbers on both cube

The probability distribution (sample space or possible outcomes) from the product of both number cubes is shown below;

Therefore, the probability distribution for X from the table above is;

X = { 1,2,2,3,3,4,5,6,6,8,8,9,10,10,12,15}

Answer:

m = 17.78.

Step-by-step explanation:

Given the algebraic expression;

2.5m + 10 = 1.6m - 6​

To find the value of m;

First of all, we would collect like terms.

2.5m - 1.6m = -6​ - 10

0.9m = -16

m = -16/0.9

m = 17.78

Answer:

C. 4/5

Step-by-step explanation:

1-p(White t shirt)= 1- 1/5 =4/5

Answer:

-------------------------------

As per given drawing PQ is the segment bisector of XY.

The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.

XW = 13 units, hence:

To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.

Here we have two triangle FHG and KJG,

The sides HF and the side JK are parallel

The length of the side of the HG and the length of the side JG are equal

HG ≅ JG

According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent

Here we have to prove that angle FHG and angle KJG are vertical angles

Here the vertical angles are congruent

Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.

I have solved the question in general, as the given question is incomplete

The complete question is:

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

a) FGH ≅ KGJ because vertical angles are congruent.

b) JKG ≅ HFG because vertical angles are congruent.

c) FHG ≅ JKG because right angles are congruent.

d) HFG ≅ KJG because alternate interior angles are congruent.

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Financial advantage (disadvantage) of making the 40,000 starters instead of buying them from an outside supplier is: $89,700.

Here, we have,

Financial advantage (disadvantage)

First step is to calculate the relevant cost of making starters

Relevant cost= Direct materials+ Direct labor+ Variable manufacturing overhead+ Supervision

Relevant cost=($4×69,000)+ ($3.20×69,000) +($0.60×69,000) + $117,300

Relevant cost=$276,000+$220,800+$41,400+$117,300

Relevant cost=$655,500

Second step is to calculate the relevant cost of buying starters

Relevant cost=$10.80 × 69,000

Relevant cost=$745,200

Third step is to calculate the financial advantage

Financial advantage=$745,200-$655,500

Financial advantage=$89,700

Therefore the financial advantage is $89,700.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer: 4/9

Step-by-step explanation:

Parallel lines have equivalent slopes.

As line 'l' and line 'm' are parallel to each other ,then the slope of line 'm' is also 4/9.

Parallel lines have the same slope. The slope of line segments is identical because they are all similarly inclined with respect to the positive x-axis. If 'l', and 'm' are the slopes of two parallel lines,

then l = m

Slope-intercept notation for lines may be expressed as y=mx+b.

In this notation, b denotes the location of the line's y-axis intercept, and slope(m) indicates the slope of the line.

The slope of 'l'=4/9

The slope of the two parallel lines is the same.

Therefore, the slope of the parallel line "m" = 4/9.

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Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

Answer:

choice A I believe if it is what I think it might be

Please let me know if I am wrong.

You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.

Let's assume you need "x" mL of the 70% alcohol mixture.

First, we'll determine the amount of alcohol in the 10% alcohol mixture:

Alcohol in 10% mixture = 10% of 75 mL

= (10/100) × 75 mL

= 7.5 mL

Next, we'll determine the total amount of alcohol in the desired 55% solution:

Alcohol in 55% solution = 55% of (75 mL + x mL)

We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.

Therefore, we can set up the equation:

Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture

55% of (75 mL + x mL) = 7.5 mL + 0.7x mL

Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:

0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL

41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL

0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL

-0.15x mL = -33.75 mL

x mL = (-33.75 mL) / (-0.15)

x mL ≈ 225 mL

Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

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Answer:

47/7

Step-by-step explanation:

6 5/7

=6×7+5/7

=47/7

The value of improper fraction is, 47/7.

The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.

We have to given that;

The fraction is,

⇒ 6 5/7

Now, We can write the improper fraction as;

⇒ 6 5/7

⇒ (6×7 + 5) / 7

⇒ 47 / 7

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