Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are... and.

Answer: -3/8,-3/16,7/4

Step-by-step explanation:

Negative numbers go first, and then positive numbers.

Answer:

Pitcher 2

Step-by-step explanation:

Pitcher 1  = 4 x 1.25 = 5ml concentration

Pitcher 2 = 5 x 2 = 10ml concentration

therefore, pitcher 2 has more concentration :)

hope this helped

1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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Answer:

I think I'm doing this right?

Step-by-step explanation:

4.3

----

a. 4.3

b. 4.3

c. 4

Answer:

1. 4.30

2. 4.3

3. 4

Step-by-step explanation:

a. hundredths

4.30 is exactly in between 4.29 and 4.31

a. at the top: 4.31

a. at the bottom: 4.29

a. in the middle: 4.30

b. tenths

4.3 is exactly in between 4.2 and 4.4

b. at the top: 4.4

b. at the bottom: 4.2

b. in the middle: 4.3

c. ones

4 is in the middle of 3 and 5

c. at the top: 3

c. at the bottom: 5

c. in the middle: 4

Answer:

Quadrant 3

Step-by-step explanation:

Answer:

A = 1

B = 5

Step-by-step explanation:

The required  probability that their hospital stay is from 5 to 6 days is 3.31%.

An normal distribution is a sort of ceaseless likelihood dissemination wherein most information guides bunch to the center of the reach, while the rest tighten evenly toward one or the other limit. The center of the reach is otherwise called the mean of the distribution.

We have,

mean(a) = 7.37, standard deviation(S) = 2

Using formula

\(Z = \frac{x-a}{S}\)

Then,

P( hospital stay is from 5 to 6 days)

P(5\(\leq\)x\(\leq\)6) = P\((\frac{5-7.37}{2}\leq z\leq \frac{6-7.37}{2})\) = P(-3.16 ≤ z ≤-1.827 )

⇒P(z≤-1.827) - P(z≤-3.16)

⇒ 0.034 - 0.001 = 0.331 = 3.31%

Theus, probability is  3.31%

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Answer:

y=6x+3

slope 6

y-intercept 0,-3

x     y

0     -3

1      3

y=x−2

slope 1

y-intercept -2

x    y

0    -2

1      -1

Step-by-step explanation:

Answer:

\(r=13.4\)

Step-by-step explanation:

From the question we are told that:

Tangent \(AB=9\)

Length \(AO=10\)

Generally the angle at tangent \(\theta=90 \textdegree\)

Therefore

Generally the equation for raduis R is mathematically given by

 \(AO^2=AB^2+BO^2\)

 \(10^2=9^2+r^2\)

 \(r=\sqrt[100+81}\)

 \(r=13.4\)

The degrees of freedom associated with within treatments are 12 within the variation sum of squares degrees of freedom mean square f between treatments 64 within treatments (error) 96.

The ANOVA table divides the overall variance into variation between treatments and variation within treatments. Each source of variation's degrees of freedom (DF) is also provided.

According to the information provided, there are three treatments and a total of 15 observations. As a result, the total degrees of freedom is:

\(DF_{total}\) = n - 1

where n is the number of observations

\(DF_{total}\)= 15 - 1 = 14

The degrees of freedom between treatments are equal to the number of treatments minus one:

\(DF_{between}\) = k - 1

where k is the number of groups being compared

\(DF_{between}\)= 3 - 1 = 2

The number of treatments minus one equals the degrees of freedom between treatments, that is 2

We may use the following formula to calculate the degrees of freedom within treatments:

\(DF_{within}\) = \(DF_{total} - DF_{between}\)

Substituting the values we have:

\(DF_{within}\) = 14 - 2 = 12

\(DF_{within}\) = 12

As a result, the answer is 12. The degrees of freedom associated with within treatments are 12.

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Answer:

\(83.76 cm^{3}\)

Step-by-step explanation:

Notice the volume of a cone is given by equation

\(Vo=1/3\pi hr^{2}\)
So since the radius is THE DOUBLE of the original value, the volume must be four times (since is squared) the oiriginal value, but since every value is multiplied by 2, the height is also double. So this increase the volume by a factor of 2. So the final volumen is eight times the original volume.

check:

\(Vf=1/3\pi (2h)(2r)^{2}=1/3\pi (2h)4r^{2}=8/3\pi hr^{2}=8Vo\)
So the final volume is 8(10.47)=83.76 \(cm^{3}\)

Answer:

7 Quarters and 3 dimes

Step-by-step explanation:

You have to find how many quarters (0.25) and dimes (0.10) are in $2.05. There are 7 quarters, which will add up to $1.75. You can't have 8 quarters because then you would have 2 dollars, and there wouldn't be enough for a dime, there would only by 5 cents left, or a nickle. Then, you find out how many nickels you need, which is 3.

.10x3=.30. 1.75+0.3=2.05.

I hope you understood:)

Answer:

x=quarters

x-4 =dimes

.25x+.10(x-4)=2.05

.25x + .10x-.40=2.05

.35x = 2.45

divide by 0.35, both sides

x=7

x-4=3

7 quarters ($1.75)

3 dimes ($0.30

Total=$2.05

so you need 7 quarters and 3 dimes

Step-by-step explanation:

Answer:

There was 9 oranges and 12 apples in the original basket

Step-by-step explanation:

3:4

9:12

subract 6 oranges and add 6 apples

3:18

divide by 6

1:6

To find out the value of z we can use the formula

But we also have to find out the value of w, which be found using the equation

Which needs the value of x, which be found using

But instead of doing all that and finding the value of x, w and z. We can directly find z using the fact that

Because it's all angles opposite by a vertex, and the sum of them all will be 360º, then we can say that

Therefore, z = 110º.

The straight line perpendicular to a curved surface at its center is called the normal line or normal vector.

The normal line is a line that is perpendicular to the tangent plane of the curved surface at its center.

It represents the direction in which the surface is "pointing" or the direction in which the surface is most steeply inclined.

The normal line is a key concept in differential geometry and is used to analyze the properties and behavior of curved surfaces.

By defining the normal line at the center of a curved surface, we can determine the orientation and alignment of the surface at that point. The normal line provides valuable information about the local geometry of the surface, such as the curvature and the direction of the surface's normal vector.

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Answer:

Step-by-step explanation:

I think it is solve for a

a / 5 = ap + q

a(1/5 - p) = q

a(1 - 5p) = 5q

a = 5q / (1 - 5p)

Answer:

A  

Step-by-step explanation:

Answer: 55

Step-by-step explanation:

Answer: -12.414

Step-by-step explanation:

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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A histogram would be the most appropriate graphical display to present data by grouping the results into groups of 25 cm.

A histogram is a graphical representation of data that shows the distribution of a set of continuous data by dividing the data into bins (or intervals) and showing the frequency of observations within each bin. The histogram provides a visual representation of the distribution of data, showing the shape, central tendency, and spread of the data.

In this case, the farmer has measured the height of every tree in a large orchard in centimeters and wants to present the data in groups of 25 cm. To create a histogram for this data, the first step would be to divide the data into bins, or intervals, of 25 cm.

Once the bins are created, the next step is to count the number of observations (tree heights) that fall within each bin. This information can be represented as a bar graph, where the height of each bar represents the frequency of observations within the corresponding bin.

By presenting the data in this way, the farmer can easily see the distribution of tree heights in the orchard. The shape of the histogram can indicate whether the data is symmetrical, skewed, multimodal, or uniform.

The central tendency of the data can be determined by looking at the peak of the histogram, which represents the most frequent range of tree heights. The spread of the data can be determined by looking at the width of the histogram and the range of tree heights represented.

In conclusion, a histogram is the most appropriate graphical display to present the results of the tree heights in groups of 25 cm because it provides a visual representation of the distribution of the data and allows the farmer to see the shape, central tendency, and spread of the tree heights in the orchard.

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Answer:

Step-by-step explanation:

From the question, we are informed that 15⋅324=4,860. Thee exact product of 1.5⋅3.24 will be:

= 1 × 5 × 3 × 24

= 360

The answer will therefore be 360

I think you forgot to mention Susan's current age if not:

x+5

x-4

6x

Answer:

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

Step-by-step explanation:

We are given the cubic expression:

\( \displaystyle \large{7 {x}^{3} + 4x}\)

In the expression, there exists same x-term but not like term.

Factor using LCF (Least Common Factor which is x)

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

From 7x^2+4, the expression is not factorable and thus:-

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

is the simplified form.

Out of 5 trials, "at least one failure" = " at most four successess", so the probability you're looking for is

\(P(X\le 4) = \displaystyle\sum_{x=0}^4 \binom5x 0.30^x (1-0.30)^{5-x} \approx 0.99757 \approx \boxed{99.8\%}\)

Answer  

5555555555555555555555555555555

Step-by-step explanation:

options A and D are solutions to the trigonometric equation sinx cosx = 1/4.

What are trigonometric signs ?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Right triangles are particularly important in trigonometry because they have one angle that measures 90 degrees, which allows us to define the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent.

In a right triangle, the side opposite the 90-degree angle is called the hypotenuse, and the other two sides are called the legs. We can use the ratios of the lengths of the sides to define the six trigonometric functions.

According to the question:
To solve the equation sinx cosx = 1/4, we can use the identity 2sinx cosx = sin(2x). Then, we have:

sinx cosx = 1/4

2sinx cosx = 1/2

sin(2x) = 1/2

The solutions for sin(2x) = 1/2 are:

2x = π/6 + 2nπ or 2x = 5π/6 + 2nπ, where n is an integer.

x = π/12 + nπ or x = 5π/12 + nπ, where n is an integer.

Then, the solutions for sinx cosx = 1/4 are:

x = π/24 + nπ/2 or x = 5π/24 + nπ/2, where n is an integer.

Therefore, options A and D are solutions to the equation sinx cosx = 1/4.

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