A bag contains 10 red marbles and 15 green marbles. If yuki selects a marble from the bag without looking,what is the probablity that she will pull out a res marble?

Answer:

D

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …  

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …  

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

⇒ Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

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Answer:

D.−1.5, −1, −0.5, 0, …

Step-by-step explanation:

Answer:

[tex]9\pi[/tex] sq. units.

Step-by-step explanation:

It is given that a circle has a sector with area [tex]\frac{1}{2}\pi[/tex] and central angle of [tex]\frac{1}{9}\pi[/tex] radians.  

We know that, the area of sector is

[tex]A=\dfrac{1}{2}r^2\theta[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute the values of A and [tex]\theta[/tex].

[tex]\dfrac{1}{2}\pi=\dfrac{1}{2}r^2(\dfrac{1}{9}\pi)[/tex]

[tex]1=r^2(\dfrac{1}{9})[/tex]

[tex]9=r^2[/tex]

[tex]3=r[/tex]

The radius of the circle is 3 units.

So, the area of circle is

[tex]A=\pi r^2[/tex]

[tex]A=\pi (3)^2[/tex]

[tex]A=9\pi[/tex]

Therefore, the area of circle is [tex]9\pi[/tex] sq. units.

Answer:

16x -20

Step-by-step explanation:

12(x - 4) + 4(x + 7)

12x - 48 + 4x +28

16x - 20

Answer:

16x - 20

Step-by-step explanation:

Given

12(x - 4) + 4(x + 7) ← distribute both parenthesis

= 12x - 48 + 4x + 28 ← collect like terms

= 16x - 20

Answer:85

Step-by-step explanation:

Use PEMDAS (Parentheses Expinents Multiplication Divison Addition Subtraction) in that order to solve in the correct order

Answer:

85

Step-by-step explanation:

first you have to reduce the factor with 2, them multiply the numbers.

Calculate the difference (when there is a "-" in front of an expression in parenthesis, change the sign of each term of the expression)

Multiply the numbers

Calculate the sum of the positive numbers

now, solution: 85

Answer:

-0.4x - 0.30  or   [tex]-\frac{2x}{5} - \frac{3}{10}[/tex]

Step-by-step explanation:

Change all the fractions to decimals.

-2/5 = -0.4  Distribute that over x and 0.8   1/50 =  0.02

you get -0.4x -0.32 + 0.02

Change all the decimals to fractions.

0.8 is 8/10  so  -2/5 times 8/10  is -16/50

-2x/5  - 16/50 + 1/50   add or subtract the fractions to get -15/50 Then reduce (÷5)

-2x/5 - 3/10

Answer:

Step-by-step explanation:

Answer:

1) B. on, 2) D. 19.2, 3) C. 0

Step-by-step explanation:

1) The value of y according to the regression line is:

[tex]y = 3.2\cdot (8) - 6.4[/tex]

[tex]y = 19.2[/tex]

Hence, the point (8,19.2) is on the least-squares regression line.

2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.

Final answer:

The data point (8,19.2) lies on the least-squares regression line. The value of the least-squares regression line at x=8 is 19.2. Hence, the residual of the data point (8,19.2) is 0.

Explanation:

The data point (8,19.2) is on the least-squares regression line since when we substitute x=8 into the equation y=3.2x−6.4, we get y=3.2(8)−6.4 which simplifies to y=25.6−6.4, yielding y=19.2, which is exactly the y-value of the given data point.

The value of the least-squares regression line at x=8 is therefore 19.2 which corresponds to option D.

Since the observed y-value is exactly predicted by the regression line at this x-value, the residual for the data point (8,19.2) is 0, which represents the difference between the observed y-value and the value predicted by the regression formula. Therefore, option C is correct for the residual.

Answer:

For both graph I would choose the following points: 0°, 90°, 180°, 270° and 360°. I would connect the points (in both cases) with an smooth arc.

Step-by-step explanation:

x          sin(x)     cos(x)

0°        0            1

90°      1             0

180°     0           -1

270°    -1            0

360°    0            1

Answer:

she will use 900 ounces for 9 people

Step-by-step explanation:

Answer:

900 ounces

Step-by-step explanation:

you would take 300 and divide it by 3 because thats how many people were listed, then you would get 100 per person as a unit rate. Multiply 100 by 9 and you have your answer!

Answer: fourths

Step-by-step explanation:

Answer:

108 cm^2

Step-by-step explanation:

Final answer:

The base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm is 15 square centimeters, obtained by dividing the volume by the height.

Explanation:

To find the base area of a cylinder with a known volume and height, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius of the base, and h is the height. Since the volume (V) is 150 cubic cm and the height (h) is 10 cm, we can rearrange the formula to solve for the base area (A): A = V/h.

By substituting the given values into our rearranged formula, we get: A = 150 cm³ / 10 cm = 15 cm². Thus, the base area of the cylinder is 15 square centimeters.

Answer:

(a)Initial Number of Bacteria=600

(b)[tex]\text{Number of bacteria after 5 days}=19200[/tex]

Step-by-step explanation:

Given an initial number  [tex]b_0[/tex] of bacteria in a petri dish, and each bacteria splits into 2 bacteria after one day.

The function [tex]b(d) = 600 \cdot 2^d[/tex] models  the number of bacteria, b after d days.

Part A

Given  [tex]b(d) = 600 \cdot 2^d[/tex]

When d=0,

The initial number of bacteria in the petri dish,

[tex]b_0=b(0) = 600 \cdot 2^0=600[/tex]

Part B

After 5 days, when d=5

[tex]b(5) = 600 \cdot 2^5=600 \cdot 32\\\text{Number of bacteria after 5 days}=19200[/tex]

Answer:

(3x+7)(x+3)

Step-by-step explanation:

Factors 3x^2+16x+21

3x^2+16x+21

=(3x+7)(x+3)

Answer:

[tex]3 {x}^{2} + 16x + 21 \\ 3 {x}^{2} + 9x + 7x + 21 \\ 3x(x + 3) + 7(x + 3) \\ = (3x + 7)(x + 3)[/tex]

Answer:

$8.35 per hour

Step-by-step explanation:

Take the dollars and divide by the hours to determine the dollars per hour

25.05/3

$8.35 per hour

Answer:

(x+12)

Step-by-step explanation:

The middle number is 8 and the last number is -48.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 8

Multiply together to get -48

Can you think of the two numbers?

Try -4 and 12:

-4+12 = 8

-4*12 = -48

Fill in the blanks in

(x+_)(x+_)

with -4 and 12 to get...

(x-4)(x+12)

But, since (x-4) isn't an option, the answer would be (x+12)

Answer:

(x + 12)

Step-by-step explanation:  It's D on edg

Answer:

You should move 3 places horizontally, and 4 places vertically.

Step-by-step explanation:

Final answer:

To plot the point (3,4) on a scatter plot, you should follow:

Explanation:

To plot the point (3,4) on a scatter plot, you should follow these steps:

First, move three places horizontally from the origin along the x-axis; this represents the x-coordinate of the point. Next, from that position, move four places vertically along the y-axis; this represents the y-coordinate of the point.

By doing this, you will have plotted the point (3,4) correctly on the scatter plot.

This process is based on the convention that the first number in the ordered pair (x,y) corresponds to the horizontal (x-axis) movement while the second number corresponds to the vertical (y-axis) movement.

Therefore, plotting a point on a scatter plot or any Cartesian plane involves finding the x-coordinate on the x-axis and then finding the y-coordinate on the y-axis and marking the point where these two meet.

Answer:

101

Step-by-step explanation:

Answer:

The correct answer is 71.

Answer:

The correct Awnser is Awnser choice C. (Or third one)

Answer:c)72

Step-by-step explanation:u got it right on ape

Answer:

14x-19

Step-by-step explanation: Now can someone answer my question look at my page

Answer:

A

Step-by-step explanation:

i promise it's A.

Mona is hang gliding 1.25 kilometers above sea level and a whale is 0.2 kilometers below sea level. The total distance between them is the sum of both distances, which is 1.45 kilometers.

The distance between Mona and the whale is given by the sum of 2 distances. One is Mona's altitude above sea level (5/4=1.25 kilometers) and the other is the whale's depth below sea level (0.2 kilometers). Both values should be added because both distances are defined with respect to the sea level, and their signs indicate direction rather than distance. Therefore, the expression that represents the distance between Mona and the whale is 1.25 km+0.2 km = 1.45 km, where 1.25 km is the distance Mona is gliding above the sea level and 0.2 km is the distance the whale is under the sea level.

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Answer:

15

Step-by-step explanation:

Square root of 5=√5

Square of the square root=(√5)^2

=5

Square root of 3=√3

Square of the square root=(√3)^2

=3

So (square root of 5)^2×(square root of 3)^2

5×3

15

Therefore the final answer is 15

Answer:

19 weeks

Step-by-step explanation:

Make an equation

120+20x=500

Subtract 120 on both sides

20x=380

Divide by 20 on both sides

x=19

Hope this helps!

Answer:

90 degree CW

Step-by-step explanation:

Since the point is at (24, -15) and was rotated to (-15, -24):

x, y  -->   y, -x

This is a 90 degree rotation clockwise

Answer:

0.33

Step-by-step explanation:

because 0.45 plus 0.22 is 0.67 which means the other probability is 0.33.

The probability of dying from some other cause will be 0.33. Probability always lies between 0 and 1.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The given data in the problem is;

P(A) is the probability of dying from cardiovascular disease = 0.45

P(B) is the  probability of dying from cancer = 22

P is the probability of dying from some other cause =?

The probability of dying from some other cause will be found as;

[tex]\rm P =1- P(A)+P(B) \\\\ \rm P =1- 0.45+0.22 \\\\ \rm P =0.33[/tex]

Hence the probability of dying from some other cause will be 0.33.

To learn more about the probability refer to the link;

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Answer:

816.4

Step-by-step explanation:

i multiplied 65,4 and 3.14 to get 816.4

Answer:

Picture #1: x=16 ; y=10

Picture #2: x=21 ; y=15

Picture #3: x=18

Step-by-step explanation:

Picture #1:

(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.

Picture #2:

(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.

Picture #3:

(7x-6)* and (4x-7)* are supplementary so they equal 180*.

Answer:

y=6

Step-by-step explanation:

y² - 10y + 24

factor: y - 4

24 / -4 = -6

y - 6 is the other factor.

(y-4)(y-6) ⇒ y(y-6) -4(y-6) = y² - 6y -4y + 24 ⇒ y² - 10y + 24

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The other factor of the expression y² - 10y + 24, other than y - 4, is y - 6. The expression can be factored as (y - 4)(y - 6).

The given expression is y² - 10y + 24. You have given that one factor is (y - 4). To find the other factor of the equation, we can divide the whole equation by (y - 4). By doing this, we find out that the other factor is (y - 6).

So, the expression y² - 10y + 24 can be factored as (y - 4)(y - 6).

This concludes that other than (y - 4), the other factor of the expression y² - 10y + 24 is (y - 6).

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