Helen has 21 marbles. 2/7 of them are blue,1/3 are red and the rest are green. how many green marbles does Helen have?

The probability that it will take less than 63 minutes to complete the test is 0.1016, which corresponds to option c) in your list.

To solve this problem, we first need to standardize the value of 63 minutes using the formula:

z = (x - μ) / σ

where:
x = 63 (the given value)
μ = 77 (the mean)
σ = 11 (the standard deviation)

Plugging in these values, we get:

z = (63 - 77) / 11
z = -1.27

Next, we use a standard normal distribution table (or a calculator) to find the probability that a standard normal variable is less than -1.27. The table gives us a probability of approximately 0.1016.

However, we are not dealing with a standard normal distribution, but rather a normal distribution with a specific mean and standard deviation. To account for this, we need to use the following formula:

P(X < 63) = P(Z < -1.27) = Φ(-1.27)

where Φ is the standard normal cumulative distribution function. Using a standard normal distribution table (or a calculator), we find that Φ(-1.27) is approximately 0.1016.

Therefore, the answer is (c) 0.1016.

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The probability that Lin gets another turn is 1/60

Here, Lin will get a turn if both the cube and card have the same number.

A cube is numbered as 1, 2, 3, 4, 5, and 6

And the deck of 10 cards numbered 1 through 10

We can observe that there are only 6 (1 to 6) numbers which can follow above condition.

So, the chances of getting 6 in dice equals to 1/6

and the chances of getting 6 in card equals 1/10

Thus, the chance of getting both at once would be,

1/6 × 1/10

= 1/60

Therefore, the required probability is 1/60

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Answer: −15h−12

Step-by-step explanation:

Answer:

-9

hope it helped and stay safe

Answer:

the probabily is 3/4 that she will not land on red

Step-by-step explanation:

there are three other colors, making red have a 3/4 chance of not being picked

Answer:

Answer:

 3/4 that she will not land on red

Step-by-step explanation: im not completely sure :(

The equation that represents this situation (x + 20)b = 350, (x - 20)c = 350 and b + c = 6

An equation is an expression that shows the relationship between two or more number and variables.

Let x represent the speed of the airplane, in miles per hour, when there is no wind, b represent the time spent going and c represent the time spent travelling back. Hence:

(x + 20)b = 350     (1)

Also:

(x - 20)c = 350    (2)

b + c = 6     (3)

The equation that represents this situation (x + 20)b = 350, (x - 20)c = 350 and b + c = 6

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Answer:

The answer is below!

Step-by-step explanation:

Answer:

Adjacent angles.

Step-by-step explanation:

a and b are next to each other on a straight line.

Answer:

8 visits

Step-by-step explanation:

Answer:

x=√3

Step-by-step explanation:

Answer:

6.45 kg

Step-by-step explanation:

250 g is equal to 0.25 kg, so the pumpkin weighs \(2+0.25=2.25\) kg.

Thus, the combined weight is \(2.25+4.2=6.45\) kg.

Answer:

{9,19,39,79}

Step-by-step explanation:

Recursive Sequences

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

f(n) = 2f(n-1)+1

f(1) = 4

To find the first four terms of the sequence, we set n to the values {2,3,4,5}

f(2) = 2f(1)+1

Since f(1)=4:

f(2) = 2*4+1

f(2) = 9

f(3) = 2f(2)+1

Since f(2)=9:

f(3) = 2*9+1

f(3) = 19

f(4) = 2f(3)+1

Since f(3)=19:

f(4) = 2*19+1

f(4) = 39

f(5) = 2f(4)+1

Since f(4)=39:

f(5) = 2*39+1

f(5) = 79

Answer:

2.05m

Step-by-step explanation:

Answer:

12000 cubic meters

Step-by-step explanation:

v=(1/3)(900)(40)

Answer:

Yes

Step-by-step explanation:

Answer:

me too

Step-by-step explanation:

Answer:

64.8 in

Step-by-step explanation:

The pipe is 324 in and you cut in in two. Since we know that one piece is five times the length of the other, we can make the equation  324=5x. Divide both sides by five gets us 64.8 = x.

To check our work, let's multiply 64.8 by 5. It does equal 324 so we are correct.

Answer:

2.83

Step-by-step explanation:

The square root of 8 rounded to the nearest hundredth is 2.83

Answer:

\( \large{ \tt{❃ \: EXPLANATION}} : \)

\( \large{ \tt{❁ \: LET'S \: START}} : \)

\( \boxed{ \large{ \tt{❈ \: y = mx + c}}}\)

- Plug the values :

\( \large{ \tt{↬y = 12x + ( - 5)}}\)

\( \large{ \tt{↬ \: y = 12x - 5}}\)

\( ↬\large{\tt{12x - 5 = y}}\)

\(↬ \large{ \boxed{ \bold{ \tt{12x - y - 5 = 0}}}}\)

\( \tt{✺ \: STUDY \: MORE \: PROCASTINATE \: LESS !\:♪ }\)

۵ Hope I helped! ツ

☃Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

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Answer:

284 cm

Step-by-step explanation:

See picture. We want to solve for x

Using SOH

sin(64)=255/x

x=255/sin(64)

x= 283.71 = 284

Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3

Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.

Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.

The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).

Let's first find the points of intersection of the line a with the x-axis and the y-axis.

To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).

To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).

Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.

To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).

To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).

Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:

Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.

Hence, the answer is (0, 3).Option B. (0, 3)

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I am sorry but I didn't show my working

L.C.M =

a) 45 & 30 = 90

b) 120 & 90= 120

c) 140 & 112= 560

d) 60 & 15 = 60

e) 55 & 105 = 1,155

f) 72 & 64 = 576

g) 12 & 27 = 108

h) 14 & 42 = 42.

H.C.F =

a) 45 & 30 = 15

b) 120 & 90= 30

c) 140 & 112= 28

d) 60 & 15 = 15

e) 55 & 105 = 5

f) 72 & 64 = 8

g) 12 & 27 = 3

h) 14 & 42 = 14.

DONE..

The answer is 7 points per plane.

Points in math are a way of representing a position in space. Points are usually labeled using two numbers, usually called coordinates, which indicate the point's position on a two-dimensional plane. Each point can be described using an ordered pair of numbers, usually written as (x, y). Points are often used to graph equations, plot data, and describe lines and shapes.

This is because the first player scored 10 points per tank and 8 points per plane, while the second player scored 8 points per tank and 9 points per plane. Therefore, the difference in points per plane is 1 point (9 - 8 = 1). Since the difference in total points between the two players is 3 points (43 - 40 = 3), the difference in points per plane must also be 3 points (3/3 = 1). Therefore, each plane is worth 7 points (1 x 7 = 7).

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The probability of getting 3 is P(A) = 1/216. The probability that sum being 3 is 1 / 216.

When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. A dice can show a minimum of one and a maximum of six dots, for a total of six sides, giving it a total of 6 * 6 * 6 = 216 possible outcomes.

:When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. The probability can be calculated as follows:

Let A be the event that the sum is 3. The number of ways to get 3 is 1, i.e., (1, 1, 1). The total number of possible outcomes is 6³,

since each die can have 6 possible outcomes.

Therefore, the probability of getting 3 is P(A) = 1/216.

In conclusion, the probability that sum being 3 is 1 / 216.

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Answer: X= 4/5x + 8

Step-by-step explanation: Distribution factor

(a) When rounding 20 to the nearest integer in the range of 40, the result is 20.

(b) When rounding 15 to the nearest integer in the range of 45, the result is 20.

(c) The symbol "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.

(d) When rounding 18 to the nearest integer in the range of 42, the result is 20.

(e) When rounding 13 to the nearest integer in the range of 47, the result is 10.

(a) To round 20 to 40 to the nearest integer, we look at the digit in the tens place, which is 0. Since it is less than 5, we keep the tens digit as it is, resulting in 20.

(b) To round 15 to 45 to the nearest integer, again, we examine the digit in the tens place, which is 5. When the digit in the ones place is 5 or greater, we round up the tens digit. Thus, the rounded value is 20.

(c) The given statement "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.

(d) Rounding 18 to 42 to the nearest integer, we consider the tens digit, which is 2. Since it is less than 5, we keep the tens digit as it is, resulting in 20.

(e) Rounding 13 to 47 to the nearest integer, the tens digit is 4. Since the digit in the ones place is 5 or greater, we round up the tens digit. Hence, the rounded value is 50.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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Now

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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