if we changed the –0.14 to a 2 in the equation, what would happen to the graph?

Answer:

p = 20, q = 20, r = 30

Step-by-step explanation:

The triangle to the left of OA is isosceles ( 2 equal radii ), then the base angles are congruent, so

p = 20

The 3 angles in this triangle sum to 180°, then the angle at O is

180 - (20 + 20) = 180 - 40 = 140°

AB is a straight line so angle in triangle containing q is 180 - 140 = 40

The triangle containing q is also isosceles ( 2 equal radii ) then base angles are congruent, then

q = \(\frac{180-140}{2}\) = \(\frac{40}{2}\) = 20

The triangle to the right of OA is also isosceles ( 2 equal radii ) then the base angles are congruent, so

r = 30

Then p = 20, q = 20, r = 30

The appropriate set of hypothesis is:

Null hypothesis (H0): The proportion of residents in the community who play the state lottery is equal to 15%.
Alternate hypothesis (Ha): The proportion of residents in the community who play the state lottery is not equal to 15%.

To test the claim made by the local newspaper, you would need to set up a hypothesis. The appropriate set of hypotheses in this case would be:
Null hypothesis (H0): The proportion of residents in the community who play the state lottery is equal to 15%.
Alternate hypothesis (Ha): The proportion of residents in the community who play the state lottery is not equal to 15%.
By setting up these hypotheses, you can then collect a random sample from the community and analyze the data to determine if there is enough evidence to support the claim made by the newspaper.

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The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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Answer:

1.25

Step-by-step explanation:

cause 5/4÷ 12/12 is 1/8 and 1/8 as a decimal is 1.25.

Answer:

oouu I'm in 7th grade science and I already did this I can help!

Step-by-step explanation:

On solving denominator →

(16x⁴)^¼ = [(2x)⁴]^¼ = 2x ....eq.1 { 16x⁴ = (2x)⁴ }

Numerator = 2x²

fraction = 2x² / 2x { from eq.1 }

Simplest form = x

Answer:

Step-by-step explanation:

no

Answer:

y=-5

Step-by-step explanation:

Y= -5

Step-by-step explanation:

The ICT has a tremendous importance because its purpose is to unify communications and improve the level of technology in the countries of the world.

Through platforms like social networking websites, video conferencing, and instant messaging applications, the ICT enables content creation to interact and exchange ideas. The internet offers resources for content development as well. These tools are employed as software that customers must buy.

On one hand, the term Information and Communications Technology or also known as ICT for its acronomyn, refers to the concept whose main purpose is to unify the communications and the integration of telecommunications and computers

On the other hand, the ICT development index has a huge importance around the world due to the fact that is the index that ranks and compers the level of ICT use and access across the differents countries all over the world

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Answer:

Step-by-step explanation:

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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Answer:

4x + 2

Step-by-step explanation:

2 times 2x is 4x plus 2 times 1 is 2

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

Answer:

b. AD II DC

math is annoying, a lot of the stuff they teach we don't use in the real world lol

Answer:

If anything, AB DC seems like it would be right because AD BC doesnt line up with angles real well. Im not entirely sure; educated guessing.

mb 4

Step-by-step explanation:

pweieieiwiwordiowleieieiqhqhe

Answer:

6 23/24

Step-by-step explanation:

First, find the least common factor of 8 and 12, the denominators.

8 16 24

12 24

24, is now the current denominnator,

8x 3 = 24

Now you go do it to the numerator, 3 x 3 = 9

9/24 + ?

Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14

4 9/24 + 2 14/24

Now add the front numbers to make 6, than add the numerators and keep the denominator.

6 23/24, since you can not simplify this fraction, this is the answer.

Answer:

B

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

I don't think its a function because eventually one of the x values will equal more then one y value making it not a function. I'm not sure though I hope this helps :)

The domain of a function is the set of numbers that can go into a given function.

The set of input values (x) for which a function generates an output value is known as the domain of the function (y).

we can write \(y = f(x).\)

domain is the full set of x-values that can be plugged into a function to produce a y-value.

The most effective approach to finding a domain will depend on the type of function.

The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.

To find domain of function we should know the property of that function like what the function can take inside it.

Like if we consider square root function \(\sqrt{x}\) so inside root negative numbers are not allowed so value of x should be positive means x>=0

So domain of square root function [0, ∞).

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Answer:

8. Image below!

9. 134 feet

10. Below.

11. The answers represent the timings at which the rocket was at height 164 feet.

12. 5.702s

Step-by-step explanation:

8. Image below

9. \(f(1)= -16(1)^2+100(1)+50 = 134\)

I'm doing this in a rush but I can tell you what you can do for the rest.

10. Use the quadratic formula

\(164 = -16x^2+100x+50\\\\0 = -16x^2+100x-214\\\\\)

And set a= -16, b=100, c=-214

You'll get two x-values.

11. The answers represent the timings at which the rocket was at height 164 feet.

12. Hitting the ground means the height is equal to 0. So...

\(0 = -16x^2+100x+50\\\)

Using the quadratic formula you get

x=5.702s

and

x= 0.548s

This means the rocket hits the ground at 5.702s.

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

Step-by-step explanation:

Tan 22 = \(\frac{opposite \ side}{adjacent \ side}\)

\(tan \ 22 = \frac{30}{x}\\\\0.4040 = \frac{30}{x}\\\\0.4040*x = 30\\\\x = \frac{30}{0.4040}\\\\x = 74.25\\\\x = 74.3\)

Answer:

Sin= opp/hyp

Sin22= 30/x

0.3746=30/x

cross multiply

0.3746x=30

make x the subject of the formula

x= 30/0.3746

x=80

Answer:

(5π/12)(11) = about 14.4 inches

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

\(1\frac{1}{6}\)

Step-by-step explanation:

We are given the fraction of  \(\frac{7}{6}\).

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

\(\frac{7}{6}=1\frac{1}{6}\)

Hope this helps.

Step-by-step explanation:

\(4 - 5x = 24 \\ - 5x = 20 \\ x = - 4\)

The probability distribution of the sum of two fair dice is computed by analyzing the possible outcomes, the sample space, and assigning a probability to each sample point.

Sample space : A sample space is the set of all possible outcomes for an event. For the sum of two dice, the sample space is the set of all possible outcomes when rolling two dice. For example, if the first die shows 1 and the second die shows 2, the outcome would be (1,2). The sample space for the sum of two dice is {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Each sample point is an element of the sample space, and each outcome in the sample space is equally likely.

Probability distribution: The probability distribution assigns a probability to each sample point in the sample space. The probability of rolling a sum of 2 is 1/36 because there is only one way to roll a 2, which is by rolling a 1 on both dice. The probability of rolling a sum of 3 is 2/36 because there are two ways to roll a 3 is rolling a 1 and a 2, or rolling a 2 and a 1.

The probability of rolling a sum of 4 is 3/36 because there are three ways to roll a 4: rolling a 1 and a 3, rolling a 2 and a 2, or rolling a 3 and a 1. The probabilities for the other sums are computed in a similar way. Once all the probabilities are assigned to the sample points, the probability distribution is complete.

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The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

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Answer:

To evaluate 6 × 5 + (-4)², we must first perform the operation inside the parentheses, which is to square -4.

(-4)² = (-4) × (-4) = 16

Now, we substitute this value into the original equation, which becomes:

6 × 5 + 16 = 36

Therefore, 6 × 5 + (-4)² evaluates to 36.

Step-by-step explanation: