A box contains 7 red marbles, 3 green marbles, and 1 grey marble. Suppose that 3 balls are randomly selected from the box in succession without replacement. What is the probability that first a red, then a green, then a grey marble are selected?

Answer:

y=4x+4

Step-by-step explanation:

It has the biggest slope of the equations of 4, and increases the most.

Answer:

the length of the third side is 26

Step-by-step explanation:

By Pythagoras theorem

AC² = AB² + BC²

AC² = 10² + 24²

AC² = 100 + 576

AC² = 676

AC = √676

AC = 26

Almost anything to the 0 power is 1.

7^0 = 1

(-8)^0 = 1

123478714979^0 = 1

The only exception is 0^0, which is indeterminant.

Answer:

Probabilidad de que los dos primeros cazadores seleccionados de los 123 cazadores heridos usaran ropa naranja = 0.0020

Probability that the first two selected hunters out of the 123 injured hunters wore orange clothing = 0.0020

Step-by-step explanation:

Hay un total de 6 personas que vestían de naranja de las 123 personas heridas.

Como las dos personas son elegidas sin reemplazo,

Probabilidad de que la primera persona elegida vistiera de naranja = (6/123)

Probabilidad de que la segunda persona elegida también vistiera de naranja = (5/122)

Probabilidad de que los dos primeros cazadores seleccionados de los 123 cazadores heridos usaran ropa naranja = (6/123) × (5/122) = 0.0019992003 = 0.0020 a 4 d.p.

¡¡¡Espero que esto ayude!!!

English Translation

There are a total of 6 people that were wearing orange out of the 123 injured people.

Since the Two people are picked without replacement,

Probability that the first person picked was wearing orange = (6/123)

Probability the second person picked was wearing orange too = (5/122)

Probability that the first two selected hunters out of the 123 injured hunters wore orange clothing = (6/123) × (5/122) = 0.0019992003 = 0.0020 to 4 d.p.

Hope this Helps!!!

With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.

To calculate the future value of an investment with compound interest, we can use the following formula:

FV =\(PV * (1 + r/n)^{(n*t)}\)

where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.

In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment  is 5 years.

Using these values, we can calculate the future value (FV) as follows:

FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)

= \(\$900 * (1.03)^{10\)

= $1,191.02

Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.

If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:

I = P x r x t

where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.

In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:

I = $900 x 0.06 x 5

= $270

Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:

Total = $900 + $270

= $1,170

Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.

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Hey there!

5(2x + 6)

= 5(2x) + 5(6)

= 10x + 30

Answer: 10x + 30 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10x + 30

Step-by-step explanation:

When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.

5(2x) + 5(6)

Then we just multiply

10x + 30

Because we do not know the value of "x" we will leave it like this.

Hope it was helpful ;)

The true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

g(x) = 5x^2 - 10x

Differentiate the above equation

So, we have

g'(x) = 10x - 10

Set to 0

So, we have

10xx - 10 = 0

Divide through by 10

So, we have

x - 1 = 0

Solve

x = 1

The above is the x coordinate of the vertex and the axis of symmetry

Hence, the true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal

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Answer:

g(x) = 5x^2 − 10x is that both values are equal.

Step-by-step explanation:

2023

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

12 ways

Step-by-step explanation:

Given that:

Number of ice cream choices = 3

Number of hopped nut choices = 2

Number of topping choices = 2

The number of possible sundaes that can be made if one item must be ordered from each of tbe choices Given bove.

Number of different choices = 3 * 2 * 2 = 12

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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The equation of water level in the river after d days is L = 34 - 0.5d and it will take 16 days to recede to 26 feet

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

if the water level was initially 34 feet high and it recedes, it means it reduces in level and by 0.5d

so the water level after d days is 34 - 0.5d

Therefore L = 34 -0.5d

so if the water level is 26 feet, the number of days for this to happen is

26 = 34 -0.5d

0.5d = 34 - 26

0.5d = 8

d = 8/0.5

d = 16 days

In conclusion equation of water level after d days is L = 34 -0.5d and it takes 16days to get to 26feet.

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The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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9514 1404 393

Answer:

  32°

Step-by-step explanation:

The law of cosines can be used for this:

  h^2 = f^2 +g^2 -2fg·cos(H)

  cos(H) = (f^2 +g^2 -h^2)/(2fg)

  cos(H) = (650,500/763,600)

  H = arccos(6505/7636) ≈ 31.5826°

Angle H is about 32°.

James wοuld have tο pay a tοtal οf 188.10 Singapοre dοllars fοr the item and shipping and handling cοsts.

Prοbability is a measure οf the likelihοοd οf an event οccurring. It is a numerical value between 0 and 1, where 0 means the event is impοssible and 1 means the event is certain tο οccur. Fοr example, the prοbability οf flipping a fair cοin and getting heads is 1/2 οr 0.5.

Tο calculate the tοtal cοst in Singapοre dοllars, we need tο cοnvert the US dοllars tο Singapοre dοllars using the given exchange rate, and then add the twο cοsts tοgether.

The cοst οf the item in Singapοre dοllars is:

75 USD * 1.65 SGD/USD = 123.75 SGD

The shipping and handling cοst in Singapοre dοllars is:

39 USD * 1.65 SGD/USD = 64.35 SGD

The tοtal cοst in Singapοre dοllars is the sum οf these twο cοsts:

Tοtal cοst = 123.75 SGD + 64.35 SGD = 188.10 SGD

Therefοre, James wοuld have tο pay a tοtal οf 188.10 Singapοre dοllars fοr the item and shipping and handling cοsts.

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Answer:

5 2.9

Step-by-step explanation:

Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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Answer:

1.8

Step-by-step explanation:

here u go <3

The mass of one kitten is 1.8 Kg

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value. We can think of it as a tendency of data to cluster around a middle value. In statistics, the three most common measures of central tendencies are Mean, Median, and Mode. Choosing the best measure of central tendency depends on the type of data we have.

The arithmetic mean of a given data is the sum of all observations divided by the number of observations. For example, a cricketer's scores in five matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:

Mean = Sum of all observations/Number of observations

Mean = (12 + 34 + 45 + 50 + 24)/5

Mean = 165/5 = 33

Given:

Total kittens= 46

So,

Mean= Total mass/ number of kittens

mean= 0.8* + 1*3 + 1.2*4+ 1.4 * 6+ 1.6*8+ 1.8*8+ 2*7+ 2.2*5 + 2.4 * 2 + 2.6*1+3.8*1 / 46

=80.4/ 46

= 1.75

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The surface area of the cylinder is 131.88 in².

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as:

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of the cylinder = 2B + P h

Where B is the base area and P is the perimeter.

B = πr² and P = 2πr

Now,

We will assume that,

The radius of the cylinder = 3 in.

The height of the cylinder = 4 in.

So,

The surface area of the cylinder.

= 2B + P h

= 2πr² + 2πrh

= 2 x 3.14 x 3² + 2 x 3.14 x 3 x 4

= 56.52 + 75.36

= 131.88 in²

Thus,

131.88 in² is the surface area of the cylinder.

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Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

Answer:

16 Inches

Step-by-step explanation:

.........................

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

Answer:

quarts. 11. fluid ounces = —. 1. 4. — quart. 12. quarts = 6 gallons. 13. 16 pints = gallons. 14. ... How many times must a 1-cup measuring cup be filled to equal 4 pints? 2. Leroy has 2 containers. ... can hold. Write cup, pint, quart, or gallon. 15. a bathtub. 16. a container of orange juice. 17. a juice box. 18. a small milk carton. 1

Step-by-step explanation:

Answer:

Each would equal 10 lbs.

Step-by-step explanation:

60 pounds all together is the weight of 6 boxes, so if you divide 60 by 6, you'll get 10 lbs for each box.

Answer:

each box weighs 10lbs

Step by Step explanation:

if you do 10 20 30 40 50 60 70.... you will see what times what gives you 60 which in this case it is what times 6 gives you 60 so if you list your 6s you will will go until you  get to 6*10 which is 60 but you can do a list of your 10s it is easier that away to be honest. I hope this answer helps you:)