One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answer:

The correct statement is (C).

Step-by-step explanation:

The data for the number of hours per week they spend working at part-time jobs by 20 juniors and seniors at Delmar high school is:

Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15

Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10

Compute the mean of both the data:

[tex]\mu_{J}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iJ}}[/tex]

     [tex]=\frac{1}{10}\times [20+10+20+10+15+0+0+10+20+15]\\\\=\frac{120}{10}\\\\=12[/tex]

[tex]\mu_{S}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iS}}[/tex]

     [tex]=\frac{1}{10}\times [20+ 20+10+10+0+0+0+10+0+10]\\\\=\frac{80}{10}\\\\=8[/tex]

Compute the range of both the data:

[tex]Range_{J}=Max._{J}-Min._{J}[/tex]

            [tex]=20-0\\=20[/tex]

[tex]Range_{S}=Max._{S}-Min._{S}[/tex]

            [tex]=20-0\\=20[/tex]

It can be seen that the range of both the data is same, i.e. 20.

Thus, the correct statement is (C).

Answer:

the experimental probability is 70%

Step-by-step explanation:

PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?

To the nearest whole percent, the experimental probability is

a. 65%.

b. 70%

c. 75%

d. 80%

We are given to find

the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings

we know that

probability = ( number of favourable outcomes)/ ( total possible outcomes)

a 10th-grade student chosen at random has at least one, but no more than two, siblings

so, there can be one or two siblings

so, total number of such students =18+10=28

Number of favourable outcomes =28

total number of students =4+18+10+8=40

so, total favourable outcomes =40

now, we can find probability

[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]

So,

Therefore, the experimental probability is 70%

Answer:

answer is B

or 70%

Answer:

Its 90 degrees

idk if this helps but i hope it does :)

Step-by-step explanation:

Answer: 210 grams of margarine, 180 grams of sugar, 150 millilitres of syrup, 360 grams of oats, 75 grams of raisins

Step-by-step explanation: 30 flapjacks is 1.5 more than 20 flapjacks.

140 * 1.5 = 210 grams

120 * 1.5 =  180 grams

100 * 1.5 = 150 millilitres

240 * 1.5 = 360 grams

50 * 1.5 = 75 grams

Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer:

-9 ≤n ≤1

Step-by-step explanation:

-3 ≤ n+6 ≤ 7

Subtract 6 from all sides

-3  -6≤ n+6-6 ≤ 7-6

-9 ≤n ≤1

Answer:

A

Step-by-step explanation:

Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.

Answer:

A

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

Answer:

a.

Step-by-step explanation:

A non leap year has 365 days. February of a non leap year has 28 days.

365 - 28 = 337

There are 337 days in a non leap year that are not in February.

p(not February) = 337/365

Answer:

24 in

Step-by-step explanation:

The diameter of a circle is twice its radius which is 12 * 2 = 24.

Answer:

The diameter is 24 inches

Step-by-step explanation:

The radius of a circle is 1/2 of the circles diameter

r = d/2

d = 2r

d = 2*12

d = 24

The diameter is 24 inches

Answer:

7-x

Step-by-step explanation:

49 - x^2 is a perfect square so

it factors to :(7+x)(7-x)

since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)

Forgive me for my lame explanation :')

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

[tex]x=2y+3[/tex]      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

[tex]x=2(y+1)[/tex]     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

[tex]2y+3=2y+1[/tex]

[tex]3=1[/tex]

You obtain an inconsistency, hence, the situation of the problem does not have solution

Answer:

a. 0.17

b. 0.95

Step-by-step explanation:

The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening

Firstly, we want to calculate the probability of less than four

Probability of less than four = 1 - probability of four or more heads

that is 1 - 0.83 = 0.17

Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95

Answer:

1372

Step-by-step explanation:

4x7x7x7=1372:v=4/3 pi r^3

Therefore, 1372 is the value that should be multiplied by Pi in the numerator to correctly show the volume of the sphere.

please mark me brainliest :)

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

y - (-2) = 1/2(x - (-2))

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

To know more about Equation of Straight Line

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Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

Answer:

3

Step-by-step explanation:

(volume)  21 * pi = 65.9734457254

height =7

Cone = (1/3)πr²h, where r is the radius and h is the height.

V = Ah/3

Answer:

45.45 batteries

Step-by-step explanation:

The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

[tex]E= \frac{1}{11}*500\\E=45.45\ batteries[/tex]

45.45 batteries are expected to be defective.

Answer:

45

Step-by-step explanation:

Answer: 0.58 m^3

Step-by-step explanation:

V= 2600 / 1500

= 0.58 m^3

Answer:

option A

Step-by-step explanation:

to find the correlation coefficient by hand, first put your data pairs into a table....

Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.

Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.

Given are four graphs.

The range of values for correlation coefficient, r is from -1 to 1.

The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.

Here the value of r is closest to 0.75.

Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.

Two such graphs are B and C.

Since r is 0.75, it is positive, So the relationship is positive.

So graph C is the correct one.

Hence graph C is the required graph.

Learn more about Correlation Coefficients here :

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Answer:

(6, 1)

Step-by-step explanation:

Answer:

centre = (6, 1 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 12x - 2y + 12 = 0

Collect the x and y terms together and subtract 12 from both sides

x² - 12x + y² - 2y = - 12

To obtain the equation in standard form use completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1

(x - 6)² + (y - 1)² = 25 ← in standard form

with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5

Answer:

22n

Step-by-step explanation:

The right answer is of option C.

hope it helps..

good luck on your assignment

Answer:

c

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.

The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:

I = [1 0 ; 0 1]

(First line: 1 0, second line: 0 1)

So the correct option is B)

Complete Question:

The perimeter of triangle XYZ is 24 units. Triangle X Y Z is shown. The length of X Y is 3 and the length of Y Z is 11. Angle Y X Z is 102 degrees What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units

Answer:

14.7 square units

Step-by-step Explanation:

Given the triangle shown in the figure attached below, having the following measures:

<YXZ = 102°

Length of XY = z = 3

Length of YZ = x = 11

Length of XZ = y = ?

Perimeter of ∆XYZ = x+y+z = 24 units

Length XZ = y, would be 11+y+3 = 24

14+y = 24

y = 24 - 14

Therefore, y = 10

==>Required:

Area of ∆XYZ to the nearest tenth of a square unit

==>Solution:

Using the Trigonometric area formula, area of ∆XYZ = ½(yz)sin X

Plug in values for x, y, and sin X:

Area of ∆ XYZ = ½×10×3×sin 102

= ½×30×0.9782

= 15 × 0.9782

= 14.673

Area of triangle XYZ approximated to the nearest tenth = 14.7 square units

Answer:

3

384

5

2.8

10

Step-by-step explanation:

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

10 + 14 = 24  |  13 - 5 = 8

24 divided by 8 = 3

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

8 x 3 = 24  |  10 + 6 = 16

24 x 16 = 384

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

9 + 36 = 45  |  45 - 5 = 40

40 divided by 8 = 5

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

8 - 4 = 4  |  4 + 10 = 14

14 divided by 5 = 2.8

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

8 + 27 = 35  |  35 - 5 = 30

30 divided by 3 = 10

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

Answer:

Carys earns $10 per hour and  earn $1 in [tex]\frac{1}{10}[/tex] hour .

Step-by-step explanation:

Given that :

Carys calculates the total amount E, in dollars, that she earns for working h hours.

She use the equation to calculate the total amount

[tex]E=10h.For h=1, E=10(1)[/tex]

[tex]\Rightarrow\ E=\$10[/tex]

hence, Carys earns $10 in one hour.

Therefore, Carys earns $10 per hour.

Let she earn $1 then put E=1 in the equation, we get

[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]

Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]

Answer:

(- 2, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ( divide through by 2 )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x- intercepts are x = - 2, x = 1, that is

(1, 0 ) and (- 2, 0 )

The other x- intercept is (- 2, 0 )

Answer: -4

Step-by-step explanation:reverse the steps

3(x-7)= -9

3(x-7)/3= -9/3

x-7= -3

x= -3+7

x= -4