You have a bag of 12 marbles. Six are blue, two are green, three are yellow, and one is red. If you reach into the bag and pull out one marble, what is the probability that it will be yellow?

Answer:

[tex]t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33[/tex]    

Step-by-step explanation:

Data given and notation  

[tex]\bar X=67[/tex] represent the sample mean

[tex]s=12[/tex] represent the sample standard deviation

[tex]n=16[/tex] sample size  

[tex]\mu_o =60[/tex] represent the value that we want to test

t would represent the statistic (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 60, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 60[/tex]  

Alternative hypothesis:[tex]\mu > 60[/tex]  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

[tex]t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33[/tex]    

Answer:

The correct option is;

A)

Step-by-step explanation:

The box plot diagram will be constructed as follows

From the question data we have that;

9, 10, 4, 12, 15, 17, 18, 10, 12, 13

Rearranging we have

4, 9, 10, 10,  12, 12, 13, 15, 17,18,

The minimum = 4

The maximum = 18

Median = 12

The lower quartile Q₁ = 10

The upper quartile Q₂ = 15

Therefore, the correct option  for the flower blooms on Rose brushes is A.

Answer:

The box plot that correctly displays the data is A.

Correct statement, question and graph:

Adam recorded the number of flower blooms on each of his ten rose bushes.  

9, 10, 4, 12, 15, 17, 18, 10, 12, 13  

If he combined the number of blooms into one data set, which box plot correctly displays the data?

A)

B)

C)

D)

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's order the data from smallest to largest.

4, 9, 10, 10, 12, 12, 13, 15, 17, 18

2. Let's find the median, this way:

Median = (5th number + 6th number)/2

Median = 12 + 12/2 = 24/2 = 12

3. Let's find out the quartiles.

The first quartile is the median of the data points to the left of the median.

4, 9, 10, 10, 12

Q₁ = 10

The third quartile is the median of the data points to the right of the median.

12, 13, 15, 17, 18

Q₃ = 15

The box plot that correctly displays Q₁, median and Q₃ is box plot A.

Answer:

a) 13/102

b) 24/16575

c) 169/5100

d) 30/169

Step-by-step explanation:

a) 26/52 × 13/51

13/102

b) 4/52 × 4/51 × 12/50

1/13 × 4/51 × 6/25

24/16575

c) 13/52 × 13/51 × 26/50

1/4 × 13/51 × 13/25

169/5100

d) 40/52 × 12/52

10/13 × 3/13

30/169

Answer:

13/102

8/5525

169/5100

10/39

Step-by-step explanation:

a.  there are 26 red cards in a standard deck  and 13 clubs

P (red) = 26/52 =1/2

Then we keep the card, so there are only 51 cards left

P ( club) = 13/51

P (red, no replacement, club) = P (red) * P(club) = 1/2 *13/51 = 13/102

b.  there are 4 three's in a standard deck  4 7's 12 face cards, assuming an A is not a face card  (jack , queen king are face cards, 1 of each suit 3*4 =12)

P (3) = 4/52 =1/13

Then we keep the card, so there are only 51 cards left

P (7) = 4/51

Then we keep the card, so there are only 50 cards left

P (face card) = 12/50 = 6/25

P (3, no replacement, 7,no replacement, face)

 = P (3) * P(7)* P (face) = 1/13 *4/51*6/25 =8/5525

c.  there are 13 diamonds in a standard deck  13 hearts and 26 black cards

P (diamond) = 13/52 =1/4

Then we keep the card, so there are only 51 cards left

P (heart) = 13/51

Then we keep the card, so there are only 50 cards left

P (black) = 26/50 = 13/25

P (diamond, no replace, heart,no replace, black)

 = P (diamond) * P(heart)* P (black) = 1/4*13/51*13/25 =169/5100

d  assuming an aces is a number card

there are 40 number cards and 12 face cards

P (number) = 40/52 =10/13

Then we keep replace card, so there are 52 cards left

P ( face) = 12/52=1/3

P (number, replace, face) = 10/13 * 1/3 =10/39

Answer:

D

Step-by-step explanation:

Area of rectangle= length × breadth

Area of figure

[tex] = ( \sqrt{15x}) ( \sqrt{10x} ) \\ = \sqrt{(10x)(15x)} \\ = \sqrt{150 {x}^{2} } \\ = \sqrt{6(25 {x}^{2}) } \\ = (\sqrt{6} )( \sqrt{( {5x})^{2} } ) \\ = ( \sqrt{6} )(5x) \\ = 5x \sqrt{6} [/tex]

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

The area of this composite figure is 256 centimeters squared, the correct option is D.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

Measure of rectangle = 16x10

Measure of triangle base of 16 centimeters and height of 6 centimeters.

Now,

The area of the composite figure can be calculated by adding the area of the rectangle and the area of the two triangles.

The area of the rectangle is 16 * 10 = 160 cm^2. The area of one triangle is 1/2 * 16 * 6 = 48 cm^2. The area of two triangles is 2 * 48 = 96 cm^2.

160 + 96 = 256 cm^2.

Therefore, by the given composite figure the answer will be 256 centimeters squared.

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Answer:

4 adults 3 children

Step-by-step explanation:

Final answer:

To solve the problem, we set c as the number of children, and deduced that a = c + 1 for the number of adults, leading to 3 children and 4 adults going to the movies.

Explanation:

The question is about solving a basic algebra problem involving a small group of people going to the movies. To find out how many adults and children went to the movies, we can set up an equation based on the information provided. Let c represent the number of children. Since the number of adults is one more than the number of children, we have a = c + 1 for the number of adults. Together, they total seven people, so we can write the equation c + (c + 1) = 7. Simplifying this equation gives us 2c + 1 = 7. Solving for c, we subtract 1 from both sides to get 2c = 6, and then divide by 2 to find c = 3. This means there were 3 children. Since there is one more adult than children, a = 3 + 1 = 4, which gives us 4 adults. Therefore, there were 3 children and 4 adults that went to the movies.

Answer:

A

Step-by-step explanation:

Hi!

This one's a bit hard to explain! IF you want explanation, just comment.

Using the data given, we can conclude that [tex]\boxed{A}[/tex] is the correct answer.

Hope this helps!

Answer:

A

1) horizontal translation of 2 units towards left

2) vertical translation of 10 units upwards

B)

1) k = -2

2) k = 10

C)

1) g(x) = f(x + 2)

2) g(x) = f(x) + 10

Step-by-step explanation:

A & B)

1) horizontal translation of 2 units towards left

2) vertical translation of 10 units upwards

C)

1) g(x) = f(x + 2)

2) g(x) = f(x) + 10

Answer:

No

Step-by-step explanation:

Say the price of 1 apple is x and the price of 1 orange is y. Then, we can write the two equations:

4x + 4y = 10

6x + 6y = 15

We can try to solve this by elimination, which means getting rid of one variable so that we're left with only 1 variable to solve for. Multiply the top equation by 3 and the bottom equation by 2:

3 * (4x + 4y) = 10 * 3  ⇒  12x + 12y = 30

2 * (6x + 6y) = 15 * 2  ⇒  12x + 12y = 30

Subtract the bottom equation from the top:

  12x + 12y = 30

-  12x + 12y = 30

______________

   0   +   0   =   0

Since we result in 0 = 0, that means any values of x and y we put into the equations will work, so we cannot find a unique price.

Hope this helps!

Answer:

No

Step-by-step explanation:

4A + 4O = 10

6A + 6O = 15

The second equation is just a multiple of the first one, so we don't have two distinct equations to solve for the prices

Answer:

the best answer for this is 8.5, if you choose to round up it would be about 9

Step-by-step explanation:

To estimate the quotient of 2 5/6 divided by 1/3, convert the mixed number to an improper fraction and multiply by the reciprocal of the divisor.

To find the best estimate for the quotient of  2 ⅝ divided by ⅓, we can convert the mixed number to an improper fraction and then multiply by the reciprocal of the divisor. First, convert 2 ⅝ to an improper fraction: 2 x 6 + 5 = 17/6. Next, multiply 17/6 by the reciprocal of 1/3: 17/6 x 3/1 = 51/6. Simplifying the fraction gives the answer as 8 1/2. Therefore, the best estimate for the quotient is 8 1/2.

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Answer:

Sam's description = [tex]3x+3[/tex], Kim's description =  [tex]5x-7[/tex]

Step-by-step explanation:

Given:

Kim and Sam were each given the same pair of numbers.

Sam's description of the two numbers was:

The larger number is 3 more than three times the smaller number.

Kim's description of the two numbers was:

Five times the smaller number decreased by 7 is the larger number.

Question asked:

Which equation represents the situation?

Solution:

Let smaller number = [tex]x[/tex]

According to Sam's description of the two numbers, the equation will be:-

Larger number = 3 more than three times the smaller number

                         = [tex]3x+3\ (eq1)[/tex]

According to Kim's description of the two numbers was, the equation will be:-

Larger number = Five times  decreased by 7

                         = [tex]5x-7\ (eq2)[/tex]

By equating  both equation:-

[tex]5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ x=5[/tex]

Smaller number = [tex]x[/tex] = 5

Larger number = [tex]3\times5+3=15+3=18[/tex]

Therefore, equations represents the situation are [tex]3x+3[/tex] and [tex]5x-7[/tex]

Step-by-step explanation:

Given diameter (d) = 28 inches

π = 3.14

Radius (r) = 28/2= 14 inches

Now

Area of the circle

= πr²

= 3.14 * 14²

= 615.44 inch ²

Answer:It’s b

Step-by-step explanation:

Girl it’s sum

Answer: 65535

Step-by-step explanation:

Answer:

C. 3/$5.79 = 13/x

Step-by-step explanation:

We can write the fact that 3 markers cost $5.79 as a proportion:

3/$5.79

Let x represent the unknown cost of 13 markers. Since 13 markers cost x, we have the following proportion:

13/x

The cost changes along with the number of markers purchased, and so the two proportions are equivalent.

3/$5.79 = 13/x

Given:

The volume of the sphere = 12348π in³

To find the radius of the sphere.

Formula

The volume of a sphere of radius r is

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

According to the problem,

[tex]\frac{4}{3} \pi r^{3} = 12348\pi[/tex]

Eliminating π from both the side.

or, [tex]\frac{4}{3} r^{3}= 12348[/tex]

or, [tex]r^{3}=\frac{(12348)(3)}{4}[/tex]

or, [tex]r^{3}=9641[/tex]

or, [tex]r=\sqrt[3]{9261}[/tex]

or, [tex]r=21[/tex]

Hence,

The radius of the sphere is 21 inches.

Answer:

21 inches

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume

12348 pi = 4/3 pi r^3

Divide each side by pi

12348 pi/pi = 4/3 pi r^3 /pi

12348  = 4/3 r^3

Multiply each side by 3/4

12348 *3/4 = 4/3*3/4 r^3

9261 = r^3

Take the cubed root of each side

9261^ (1/3 ) = r^3 ^1/3

21 =r

Answer:

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

The fraction of her money she has spent = (1/2)

Step-by-step explanation:

The total fraction of money Jill has spent = (fraction of money she spent on a new shirt) + (fraction of money she spent on pants) = (1/6) + (1/3) = (3/6) = (1/2)

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

Hope this Helps!!!

Given:

Given that the standard golf ball has a diameter of 1.68 inches.

Radius of the golf ball is 0.84 inches.

The material used to make the golf ball weighs 0.6523 ounces per cubic inch.

We need to determine the weight of one golf ball.

Volume of the golf ball:

The volume of the golf ball can be determined using the formula,

[tex]V=\frac{4}{3} \pi r^3[/tex]

Substituting r = 0.84, we get;

[tex]V=\frac{4}{3} (3.14)(0.84)^3[/tex]

[tex]V=2.481\ in^3[/tex]

Thus, the volume of one golf ball is 2.481 cubic inches.

Weight of one golf ball:

The weight of one golf ball can be determined by multiplying the volume of the golf ball with 0.6523 ounces per cubic inch.

Thus, we have;

[tex]Weight=2.481 \times 0.6523[/tex]

[tex]Weight = 1.62[/tex]

Thus, the weight of one golf ball is 1.62 ounces.

Final answer:

To find the weight of a golf ball, calculate its volume using its diameter, then multiply the volume by the weight of the material. The weight of one golf ball is approximately 1.80 ounces.

Explanation:

To find the weight of one golf ball, we first need to calculate its volume. The diameter of the golf ball is given as 1.68 inches, so the radius is 0.84 inches. Using the formula for the volume of a sphere, V = (4/3)πr³, we find the volume to be approximately 2.759 cubic inches.

Next, we calculate the weight of the golf ball by multiplying the volume by the weight of the material per cubic inch. Given that the material weighs 0.6523 ounces per cubic inch, multiplying this by the volume of the golf ball gives us the weight. Therefore, the weight of one golf ball is approximately 1.80 ounces.

Answer:

10 Packages

Step-by-step explanation:

The rectangular vegetable garden has a dimension of Length 20 feet and Width 40 feet.

Perimeter of a Rectangle=2(L+W)

=2(20+40)=2(60)=120 feet

Since the store sells fencing in 4-yard packages, let us convert our perimeter to Yards.

1 Yard= 3 Foot

x Yard =120 Feet

Cross Multiply

3x=120

x=40 Yards

The Perimeter =40 Yards

Therefore the number of Packages which Troy and his Mom needs:

Perimeter of the Garden÷Length Per Package

=40÷4

=10 Packages

Troy and his mom would need 20 Packages of Fencing.

To be able to conclude, we conver

The cost of an apple is 0.7 dollars and the cost of a banana is 0.35 dollars.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Two apples and five bananas cost £4.20.

Assuming no. of apples to be x and no. of bananas to be y.

∴ 2x + 5y = 4.20...(i) and,

Three apples and seven bananas cost £5.95.

∴ 3x + 7y = 5.95...(ii)

Now multiplying eqn(i) by 3 and eqn(ii) by 2 to cancel out x in both equations.

So, 6x + 15y = 12.6...(iii) and 6x + 14y = 11.9...(iv)

Subtracting eqn(iv) from eqn(iii) we get y = 0.7 and substituting value of y in eqn(iv) we get x = 0.35

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Answer: A

A= 1/2 x b x h

1/2(1)(1 sq rt 3)= .866

Sq rt 3 /2 = .867

Step-by-step explanation:

Answer:

in expanded form the summation is

2 + 4 + 6 .... upto 20 + 2 y^6 × 10

= 110 + 20y^6

Answer:

The tax is $3.62

So the price now is $94.12‬

Answer:

$94.12

Step-by-step explanation:

If the original price is $90.5 then you would have to multiply

90.50*104%,you multiply 104% because 100% is sopposed to be the original price and the tax adds up the price by 4% so,

100%+4%=104%

104%*90.50=$94.12

Answer:

1/3 or 33.3%

Step-by-step explanation:

theres 3 total, and one squirtle so it's 1/3

9514 1404 393

Answer:

  a^2·b^3

Step-by-step explanation:

Factors of both terms include 'a' to some power, and 'b' to some power. The greatest common factor will use the lowest power of each of these variables.

  powers of 'a' are a^2, a^3. Greatest common power is a^2

  powers of 'b' are b^5 and b^3. Greatest common power is b^3

The highest common factor of both terms is a^2·b^3.

__

Additional comment

When that is factored out of the sum, you have ...

  a^2b^5 +a^3b^3 = a^2·b^3(b^2 +a)

The remaining two terms (b^2+a) have no common factors—as it should be.

Answer:

(x+2)(x+1)

Step-by-step explanation:

it factors to (x+2) and (x+1) then the answers are -2 and -1

Answer: [tex]2 \°C/min[/tex]

Step-by-step explanation:

The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:

Temperature in [tex]\°C[/tex]

Time in [tex]min[/tex]

Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature [tex]\Delta T[/tex] divided by the time variation [tex]\Delta t[/tex].

Hence, assuming the ambient temperature of the glass is [tex]30 \°C[/tex] and the elapsed time [tex]15 min[/tex] we have:

[tex]\frac{\Delta T}{\Delta t}=\frac{30 \°C}{15 min}=2 \frac{\°C}{min}[/tex]

Answer:

19 %

Step-by-step explanation:

380 : 2000 = 0.19

0.19 X 100%= 19 %

Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

It is possible to find the AREA, or PERIMETER, or LENGTH.

But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

Answer:

length

Step-by-step explanation:

for answer above: TYSM I NEEDED THAT SO BADLY i struggled with math my entire life and hardly understand when people teach math  that really helped explain that problem tysm!!!

Answer:

x = 119

Step-by-step explanation:

Solution:-

- The number of students in a marching band = x

- When they Line up in "twos" there is 1 left over, That if we mathematically  express it:

                   Division: x / 2 , Remainder = 1

- When they Line up in "threes" there is 2 left over, That if we mathematically  express it:

                   Division: x / 3 , Remainder = 2

- When they Line up in "fours" there is 3 left over, That if we mathematically  express it:

                   Division: x / 4 , Remainder = 3

When they Line up in "fives" there is 4 left over, That if we mathematically  express it:

                   Division: x / 5 , Remainder = 4

When they Line up in "sixes" there is 5 left over, That if we mathematically  express it:

                   Division: x / 6 , Remainder = 5

When they Line up in "sevens" there are no left over, That if we mathematically  express it:

                   Division: x / 7 , Remainder = 0

- It means that the total number of "x" students are perfectly divisible by 7. If it is not divisible by 2, then it is an odd number.

- So,

                  x = 7 * a

Where,       x > 7 and exclude derivative multiples of (5, 4 , 6)

- So from trial and error, a = 17

                  x = 119  

Using multiples and remainder of divisions, it is found that there were 119 students there.

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

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

Shortening the possibilities, we look at odd multiples of 7, which are: {7, 21, 35, 49, 63, 77, 91, 105, 119, ...}

Thus, 119 is the number of students.

A similar problem is given at https://brainly.com/question/21644206