-5/9 - (-7/27)
Can someone help

first

The weight of each red marble is 120/5= 24 grams.

The bag contains 25 marbles and the mean weight is 16 grams.

In the bag, there are yellow, green, and red marbles.

Let us suppose the number of red marbles is x, and let the weight of each red marble be y grams.

Hence the total weight of the bag is: y × x + 10 × 12 + 20 × 8 = 25 × 16

y × x = 25 × 16 - 10 × 12 - 20 × 8

y × x = 400 - 120 - 160

y × x = 120 grams

Therefore, the weight of each red marble is 120/x grams.

x is 25-12-8= 5

The weight of each red marble is 120/5= 24 grams.

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The correct option for the given product is -7/15.

Multiplying fractions begins with the numerators being multiplied, followed by the denominators being multiplied.

When multiplying fractions, keep the following rules in mind:

The given expression is;

(-7/9) × (3/5)

First multiply the numerator part separately.

= (-7) × 3

= -21

Now, multiply the denominator part separately.

= 9 × 5

= 45

Now, write the obtained numerator and denominator in fraction;

= -21/ 45

As, this number is further divisible by 3.

Divide the numerator and denominator by 3.

= -7/15

Thus, the number obtained by the product as -7/15.

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Okay, here we have this:

Considering the provided confidence interval we are going to express it in interval form, so we obtain the following:

So let's first convert the interval from percent to decimals:

Confidence interval=15.8% ± 5.4%

Confidence interval=0.158 ± 0.054

And the interval form will be obtained by leaving the result using the lesser on the left side, and the result using the more on the right side:

Confidence interval=[0.158-0.054, 0.158+0.054]

Confidence interval=[0.104, 0.212]

Finally we obtain that the confidence interval in interval form is equal to [0.104, 0.212].

Answer:

\( \frac{a - 3}{a + 2} \)

Step-by-step explanation:

\( \frac{ {a}^{2} - 7a + 12 }{ {a}^{2} - 2a - 8} = \frac{(a - 3)(a - 4)}{(a + 2)(a - 4)} = \frac{a - 3}{a + 2} \)

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:The boat is traveling at a rate of 3 ft/s.

Step-by-step explanation:

The value in the leftmost node in the right subtree of the root is 10.

To determine the value in the leftmost node in the right subtree of the root in the given binary search tree, we need to construct the tree using the given integers: 4, 10, 12, 54, 19, 27, 7, 2.

The binary search tree is constructed based on the property that all values in the left subtree of a node are less than the node's value, and all values in the right subtree are greater than the node's value.

Starting with the root node, which is 4, we construct the tree as follows:

     4

   /   \

  2    10

        \

         12

           \

           19

             \

             27

               \

               54

The right subtree of the root contains the values 10, 12, 19, 27, and 54. The leftmost node in this subtree is 10.

Therefore, the value in the leftmost node in the right subtree of the root is 10.

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Answer:

E. b + u = 21

Step-by-step explanation:

b = (bicycles)

u = (unicycles)

The Question gives you the answer.

" the number of bicycles plus the number of unicycles is 21"

*put as an equation*

b + u = 21

<3 Enjoy,

    Dea

The required number of ways to write 9 as sum of 1, 2, 4 is 96 ways.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.

Two fours and one one Three numbers must be added up. Any one of the three spaces will accept a one before fours are used to fill the remaining slots. There are thus 3 possible arrangements for these. Thus, there are

1 + 8 + 21 + 6 + 20 + 20 + 5 + 12 + 3 = 96 ways

Thus, there are 96 ways to write 9 as sum of 1, 2, 4.

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Answer:

The intersection of plane R and plane P is line DB.

Point H is not on plane P

CE and DB intersect at point D

Step-by-step explanation:

Mean and median values for February are higher. This is because the data is skewed to the right and more flights arrive ahead of schedule. The values for February are more clustered on the right side of the graph, indicating late flight arrivals compared to January.

2) February appears to have a larger standard deviation and a larger interquartile range. February's data points are wider than February's, and the range of values is wider. This is reflected in the larger standard deviation and interquartile range.

3) As an airline owner, I am proud to share the January data with my customers. While January has slightly better average arrival times, February has better average arrival times and flights arrive late. Also, January data is less volatile than January, has a smaller standard deviation and narrower interquartile range. This shows that flights in January were consistently on time compared to February, which should be credited to the company.

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Answer:

75 miles.

Step-by-step explanation:

You can calculate this by calculating the number of times 2 fits into 6:

6 ÷ 2 = 3

3 x 25 = 75

So 75 miles.

Hope his helps!

Answer: that is a rectangle

Step-by-step explanation:

Answer:

Rectangle , is correct answer of this question

Answer:

100m

Step-by-step explanation:

Perimeter of square = 4( sides ) = 400m

Let side = a

Therefore,

4a = 400

a = 400 / 4

a = 100m

Hope it helps!

I just need to fill 20 characters, the answer is right there on the sheet

The above pic is your answer mate.

The equation y=2x+3 matches the total height of a 3-inch tree after it grows 2 inches per month.

We have given, y=2x+3

We have to determine whether the equation matches y=2x+3.

The slope-intercept form of the line is y=mx+c.

Where m is the slope

C=y-intercept

Therefore option c is correct.

because the height is three inches and the tree after it grows 2 inches per month.

The slope of a line is a measure of its steepness.

Here the slope is 2 and the y-intercept is 3.

Therefore option c is correct.

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1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

The HCF is the smallest value that can divide a set of values without leaving a remainder.

Given the following terms, we are to find their HCF's

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

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Mid point of the length segment PQ has endpoints P(-3, 4) and

Q(1, 7) is (1,11/2).

Mid point = {(-3+1)/2, (4+7)/2}

Mid point = (1,11/2)

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.

A line is said to be a bisector when it divides another line into two identical segments. The line will be split at its midpoint by the bisector. A compass and straightedge can be used to determine the midpoint of a line segment. See creating a line segment's perpendicular bisector.

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The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Answer:

3/5

Step-by-step explanation:

The radial distances from the center (-3, -2), to the points on the circumference (0, -6), and (a, 0), found using the distance formula, indicates that a = -3 ± √21

The distance between points (x₁, y₁), and (x₂, y₂), on the coordinate plane, can be found using the formula; d = √((x₂ - x₁)² + (y₂ - y₁)²).

The coordinates of the center of the circle = (-3, -2)

The coordinates of the locations (on the circumference of the circle), through which the circle passes = (0, -6) and (a, 0)

Therefore the distances between points (0, -6) and (-3, -2) and (a, 0) and (-3, -2) are the same;

The distance from (0, -6) to (-3, -2) = The distance from (a, 0) to (-3, -2)

(-3 - 0)² + (-2 - (-6))² = (-3 - a)² + (-2 - 0)²

25 = a² + 6·a + 9 + 4 = a² + 6·a + 13

a² + 6·a + 13 = 25 (symmetric property)

a² + 6·a + 13 - 25 = 0

a² + 6·a - 12 = 0

a = (-6 ± √(6² - 4×1×(-12)))/(2×1) = (-6 ± √(84))/2

a = (-3 ± √(21))

a ≈ 1.58 and a ≈ -7.58

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Answer:

score(3)

Step-by-step explanation:

If the score is a function of the hours studied, it depends on the number of hours spent studying.

score(hours studying)

score(3)

The value of the trigonometric ratios are

1. sin C = 21/29

2. sin C = 3/5

3. cos C = 12/13

4. cos C = 8/17

5. tan A = 12/35

6. tan X = 4/3

The trigonometry problem in a triangle is worked using an acronym SOH CAH TOA, this acronym means:

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

1. sin C

sin C = opposite / hypotenuse = 21/29

3. cos C = 12/13

cos C = adjacent / hypotenuse =  36/39 = 12/13 to the lowest term

6. tan X = 4/3

tan X = opposite / adjacent  = 36/27 = 4/3 to the lowest term

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From the figure we notice that the two bottom angles are equal. We also know that the angle DXG is equal to 98, then we have that:

solving for s we have:

Therefore s=17

A. Theoretical probability of rolling each value for both Diamond and Trevor is 16.67%.

The experimental probability of rolling each value for Diamond is 16.95% for one, 33.20% for two, and 49.84% for three.

The experimental probability of rolling each value for Trevor is 69.38% for one, 24.45% for two, and 6.17% for three. Based on the Law of Large Numbers, Diamond's dice can be assumed to be fair, but Trevor's dice cannot be assumed to be fair.

The theoretical probability of rolling each value for both Diamond and Trevor is 1/6 or 16.67%. To find the experimental probability for Diamond, we divide the number of times each value was rolled by the total number of rolls and multiply by 100%. For example, the experimental probability of rolling one is (217/1280) x 100% = 16.95%.

Based on the Law of Large Numbers, which states that the sample mean will approach the population mean as the sample size increases, we can reasonably assume that Diamond's dice is fair.

However, Trevor's dice cannot be assumed to be fair because the experimental probability of rolling each value is significantly different from the theoretical probability, indicating a potential bias in the dice.

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