The / that is measured at 220° is a reflex angle. The opposite angle is obtuse. Find the measure of obtuse /.

Answer:

5/7

Step-by-step explanation:

The total of pizzas is divided among 7 people so each person will receive 5/7 pizza

Answer:

As per Given Information

→ ∠AOB = 7x-99°

→ ∠COD = 2x + 1°

we have to find the value of x .

∠AOB = ∠COD ( Vertically Opposite Angle)

On putting the value we obtain

➺ 7x-99° = 2x + 1°

➺ 7x -2x = 1° + 99°

➺ 5x = 100°

➺ x = 100°/5

➺ x = 20°

So, the value of x is 20° .

Answer:

2x-4

Step-by-step explanation:

1) Since it says 2 times the number x, it is 2x

2) Then, it says 4 less than 28

3) The equation/answer would be 2x-4

Answer:

The answer is 2x-4

The most efficient way to select a random sample from a directory or list is Systematic sampling. In this type of sampling method, you choose every nth item from a directory or list. This is more convenient than other methods of sampling as it provides greater reliability and generalizability of results while minimizing sampling errors and biases. Systematic sampling has several advantages over other sampling methods such as convenience sampling or quota sampling.

In systematic sampling, every member of the population has an equal chance of being selected. This makes the sampling process more representative of the population and provides more reliable data. The disadvantage of systematic sampling is that if there is a pattern in the list, it could affect the sample. This could result in a biased sample. Systematic sampling is, therefore, a powerful sampling technique for survey research, especially when used in combination with other sampling techniques.

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Answer:

Step-by-step explanation:

If the population standard deviation is known and you're interested in the standard deviation of the sampling distribution of a sample proportion, you can use the following formula:

Standard Deviation of Sampling Distribution of Sample Proportion = sqrt((p * (1 - p)) / n)

Where:

p is the true proportion of the characteristic you're interested in within the population.

n is the sample size.

The standard deviation of the sampling distribution of the sample proportion is commonly used when you're sampling from a large population and the sampling is done with replacement. It represents the variability of sample proportions you would expect to obtain if you repeated the sampling process many times.

Please note that this formula assumes that the sampling is done under simple random sampling or a similar sampling design, and that the sample size is small relative to the population size (if sampling without replacement). If these assumptions are not met, there are alternative formulas or approaches that should be used.

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The equations on the graph have no solution

From the question, we have the following equations that can be used in our computation:

y = -3(x - 1)

y = -3x - 1

Also, we have:

The lines are parallel to each other.

As a general rule:

Parallel lines are lines that do not intersect and they have the same slope

Because the lines do not intersect, it means that the system do not have any solution

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Answer: C. \( (2, \sqrt{5}) \)

Step-by-step explanation:

The x coordinate is 2, which is 2 units right of (0, 0)

- √5 is the y coordinate

- (√5) = - (2.23) = -2.23

The y coordinate is -2.23 or 2.23 down from (0, 0)

The rest of the ordered pairs are slightly off the edge of the circle.

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer:

0.74

Step-by-step explanation:

We can isolate x, getting 9.2x - 1.9x = -1 + 6.4

We can then simplify, getting 7.3x = 5.4, which we can solve by dividing both sides by 7.3:

x = 5.4 / 7.3 = 0.74

Answer:

x=0.739726

Step-by-step explanation:

subtract 9.2x on both sides

-1+1.9x-9.2x=-6.4

combine like terms

1.9x-9.2x=-7.3x

-1-7.3x=-6.4

add -1 on both sides

-7.3x=-6.4+1

-7.3x=-5.4

divide both sides by -7.3

x=0.739726...

hope this helps

Answer:

B

Step-by-step explanation:

Answer:

x-8=8-x

x=8

y=8-8

y=0

Step-by-step explanation:

y=0

x=8

Answer:

x=8,y=0

Step-by-step explanation:

y=x-8

y=8-x

So,

x-8=8-x

x+x=8+8

2x=16

x=8

Now,

y=x-8

y=8-8

y=0

The result of adding these two numbers together such as -3.4 + 4.2 is 0.8.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number, and every real number to a number line point.

On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

In this case, -3.4 will be on the left side and you'll move to the right and add 4.2. The value is 0.8.

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There is a centered rectangular lattice but not a centered square lattice because of the different geometric properties of rectangles and squares.

A centered rectangular lattice is a lattice with one point at the center of each rectangle, while a centered square lattice would require one point at the center of each square.

However, squares have equal side lengths and angles, making it impossible for a lattice point to be centered within each square.

In contrast, rectangles have different side lengths and angles, allowing for a lattice point to be centered within each rectangle. Therefore, a centered rectangular lattice is possible, but a centered square lattice is not.

A lattice is an infinite set of points in this space with the properties that coordinate wise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance, and that every point in the space is within some maximum distance of a lattice point.

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There are 38,400 ways to seat the four couples in a row such that no person sits next to their significant other. This can be answered by the concept of Permutation and combination.

To solve this problem, we can use the concept of permutations and derangements. First, we need to find the total ways of seating the couples without restrictions and then subtract the ways where at least one couple is sitting together.

Total ways to seat the couples without restrictions: There are 8 people (4 couples), so there are 8! (8 factorial) ways to seat them.

Now, we'll find the number of ways where at least one couple sits together. For each of the 4 couples, consider them as a single unit. We have 5 units (4 couple-units and 4 single people), so there are 5! ways to arrange these units. However, within each couple-unit, there are 2! ways to arrange the individuals, so we need to multiply by 2!⁴.

Ways with at least one couple together: 5! × (2!)⁴

To find the number of ways where no person sits next to their significant other, we subtract the ways with at least one couple together from the total ways:

Desired seating arrangements: 8! - (5! × (2!)⁴)

Calculating the values: 40320 - (120 × 16) = 40320 - 1920 = 38,400

So, there are 38,400 ways to seat the four couples in a row such that no person sits next to their significant other.

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All four statements are true.To complete the basis step of the proof, we need to show that the statements p(18), p(19), p(20), and p(21) are true.

p(18): As stated, 18 cents of postage can be formed from 1 4-cent stamp and 1 7-cent stamp. This satisfies the condition, so p(18) is true.

p(19): As stated, 19 cents of postage can be formed from 1 4-cent stamp and 0 7-cent stamps. This also satisfies the condition, so p(19) is true.

p(20): As stated, 20 cents of postage can be formed from 5 4-cent stamps and 0 7-cent stamps. This satisfies the condition, so p(20) is true.

p(21): As stated, 21 cents of postage can be formed from 0 4-cent stamps and 3 7-cent stamps. This satisfies the condition, so p(21) is true.

By verifying that all four statements are true, we have completed the basis step of the proof.

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The total cupcakes that are needed will be 9 1/2.

The fraction needed for yourself = 5 1/2

The fraction needed for your friend = 2 1/2

The fraction needed for your other friend = 1 1/2

The total fraction needed will be:

= 5 1/2 + 2 1/2 + 1 1/2

= 9 1/2

Therefore, the cupcakes that are needed will be 9 1/2.

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I want 5 halves of a cupcake for myself, 2 halves for my friend and 1 half for our other friend. What is the total needed?

Answer: yes

Step-by-step explanation:

Answer: not exactly

Step-by-step explanation:

If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:

\(\sqrt{-1}\) = i

So something like \(\sqrt{-4}\) can be simplified like:

\(\sqrt{4}\) * \(\sqrt{-1}\)

 2 * i

  2i

But if you're talking about squares like exponent wise, then yes

something like \((-2)^{2}\) will always be positive, but you have to be careful with the parentheses.

There is a difference btw \((-2)^{2}\) and\(-2^{2}\)

\((-2)^{2}\) = 4 because you are multiplying (-2)(-2)

but

\(-2^{2}\) = -4 because you are multiplying -(2)(2)

Answer:

56

Step-by-step explanation:

11*4=44

6*2=12

44+12=56

Answer:

I think we are missing part of the question.

But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.

On the way home, it was 14 students in the van and 42 students in the bus,   the ratio changes to 1:3

The asset's variance is approximately 0.0358, and its standard deviation is approximately 0.1891.

To calculate the variance and standard deviation of the asset's returns, we'll follow the steps mentioned earlier using the given probability distribution:

⇒ Calculate the expected return (μ):

μ = (0.27 * 0.25) + (0.18 * 0.25+) + (0.10 * 0.30) + (0.04 * 0.20+)

  = 0.0675 + 0.045 + 0.03 + 0.008

  = 0.1505

⇒ Calculate the variance (σ^2):

σ^2 = [(0.27 - μ)^2 * 0.25] + [(0.18 - μ)^2 * 0.25+] + [(0.10 - μ)^2 * 0.30] + [(0.04 - μ)^2 * 0.20+]

Substituting the values and simplifying:

σ^2 = [(0.27 - 0.1505)^2 * 0.25] + [(0.18 - 0.1505)^2 * 0.25+] + [(0.10 - 0.1505)^2 * 0.30] + [(0.04 - 0.1505)^2 * 0.20+]

    = [(0.1195)^2 * 0.25] + [(0.0295)^2 * 0.25+] + [(-0.0505)^2 * 0.30] + [(-0.1105)^2 * 0.20+]

    = 0.017972 + 0.00021617 + 0.0030309025 + 0.01459516

    = 0.0358141325

⇒ Calculate the standard deviation (σ):

σ = √(σ^2)

  = √(0.0358141325)

  ≈ 0.1891

Therefore, the asset's variance is approximately 0.0358 and the standard deviation is approximately 0.1891.

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The cliff rises 10.8 metres in height.

To determine the height of the cliff, we can use similar triangles and apply the concept of proportions.

Let's denote the height of the cliff as "h."

According to the given information, Sandra is 1.8 m tall and stands 0.9 m from the base of the mirror. The distance between the base of the mirror and the base of the cliff is 5.4 m.

We can form a proportion based on the similar triangles formed by Sandra, the mirror, and the cliff:

(Height of Sandra) / (Distance from Sandra to Mirror) = (Height of Cliff) / (Distance from Mirror to Cliff)

Plugging in the values we know:

1.8 m / 0.9 m = h / 5.4 m

Simplifying the equation:

2 = h / 5.4

To solve for h, we can multiply both sides of the equation by 5.4:

2 * 5.4 = h

10.8 = h

Therefore, the height of the cliff is 10.8 meters.

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Answer:

m=10

Step-by-step explanation:

divide 6m by 6 and 60 by 6 and you get m=10

Answer:

10

Step-by-step explanation:

divide both sides

6m÷6=60÷6

m=60÷6

m=10

The number 320 is 0.8 standard deviations above the mean of the set with a mean of 300 and a standard deviation of 25. The number 320 is 0.8 standard deviations above the mean of the set.

To calculate the number of standard deviations from the mean, we can use the formula:

\(\(z = \frac{x - \mu}{\sigma}\)\)

where x is the value we want to measure, mu is the mean of the set, and sigma is the standard deviation. In this case, x = 320, mu = 300, and sigma = 25.

Plugging the values into the formula:

\(\(z = \frac{320 - 300}{25} = \frac{20}{25} = 0.8\)\)

Therefore, the number 320 is 0.8 standard deviations above the mean of the set.

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Answer:

174.7

Step-by-step explanation:

Let's find the area of the two triangles

(2)(1/2)(11*7.7) = 84.7

Back rectangle

3 x 11 = 33

Front facing rectangle

3 x 9 = 27

Bottom rectangle

3 x 10 = 30

Total = 84.7 + 33 + 27 + 30 = 330 + 60 + 30 = 420

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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Answer: Answer A is correct :)

Step-by-step explanation:

If two predictor values have a very high linear correlation coefficient, both should be included in finding the multiple regression equation.

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

\(y = -0.14x + 3\)

The above equation is a linear equation, which is represented as:

\(y =mx + c\)

Where m represents the slope of the linear equation.

By comparison, we have:

\(m = -0.14\)

i.e. the slope of the equation \(y = -0.14x + 3\) is -0.14

When -0.14 is replaced with 2, the equation becomes

\(y = 2x + 3\)

And the slope of the new equation \(y = 2x + 3\) is

\(m =2\)

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

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Answer:

if CB is 13 and BF is 9 than 13+9=22.So DF must be 22 too. If EF is 7 than 22-7=15 and DE is 15

Answer:

4

Step-by-step explanation: