Samuel bought three hot dogs and a package of chips for $5.35. the chips were 85 cents. How much is one hot dog? Write the equation out and find the price

The information which the line of best fit predict about the increase in the minimum wage over the 70 year period is that: C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, an equation which represents the line of best fit include the following:

y = 0.096x - 0.488.

In this context, we can logically deduce that the initial minimum wage is  $0.488 and the average increase in minimum wage is equal to 0.096 dollars each year between 1940 and 2010.

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The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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Answer:

see the attached  picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

\(x=60\\y=120\)

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

\(x+33+87=180\)

\(x+120=180\)

\(x=180-120\)

\(x=60\)

To find y:

(Angles on straight line = 180)

\(y=180-x\)

(replace x with 60)

\(y=180-60\)

\(y=120\)

hope this help :)

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

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Triangle Congruence

The figure shows two triangles JKL and JML. They have two congruent angles JKL -> JML and KJL -> MJL

Two congruent angles on both triangles guarantee that the third angle is also congruent because the sum of all the interior anges is 180° on any triangle.

Having this in mind, we have all of the interior angles congruent but the AAA theorem is not enough to prove congruence.

Since the triangles share a common side JL, then we are sure the triangles are not only similar, but congruent.

Thus, the two angle congruence and the common side are enough data to prove the congruence of the given triangles.

AAA theo

For a data point measured as y = 3.5 for an x value of x = 1.2, the residual would be 0.1

For given question,

we have been given an equation 2x + 1 that represents an equation for a trendline to the data.

General formula with residual is y = 2x + 1 + r, where r is a residual.

We need to find the residual for a data point measured as y = 3.5 for an x value of x = 1.2

We substitute given values of x and y in the residual equation

y = 2x + 1 + r

For y = 3.5 and x = 1.2,

⇒ 3.5 = 2(1.2) + 1 + r

⇒ 3.5 = 2.4 + 1 + r

⇒ r = 3.5 - 3.4

⇒ r = 0.1

Therefore, for a data point measured as y = 3.5 for an x value of x = 1.2, the residual would be 0.1

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Answer:

17.2 cm²

Step-by-step explanation:

Alr let me try

The angle is 1.2 you got it right. The rest is in the pics

Answer: A(shaded)=17.15 cm²

Step-by-step explanation:

What you did so far is correct.

Given:

r=5

s=6

Solve for Ф  angle:

s=\(\frac{part circle}{wholecircle} 2\pi r\)         This way help you find the portion/percent you want

6=(Ф/360) (2\(\pi\)5)       >solve for Ф  Divide by (2\(\pi\)5) and multiply by 360

Ф=68.75

Solve for pie/sector

Now that you have the angle,  you can use the same concept for area

Area of sector = \(\frac{part circle}{wholecircle} \pi r^{2}\)

Area of sector = \(\frac{68.75}{360} \pi 5^{2}\)

Area of sector = 15.0 cm²

Now let find y so we can plug into area of triangle

use tan Ф = opposite/adjacent

tan 68.75 = y/5

y=5 * tan 68.75

y=12.86 cm

Area of triangle = 1/2 b h          b=y=12.86     h =5

Area of triangle = 1/2* 12.86*5

Area of triangle = 32.15 cm²

Now subtract area of sector from triangle

A(shaded)=A(triangle)-A(sector)

A(shaded)=32.15- 15.0

A(shaded)=17.15 cm²

Answer:

10

Step-by-step explanation:

The absolute value always returns a positive value, thus

| a | = | - a | = a

Given

| 5 - 15 | = | - 10 | = 10

Answer: 90200

Step-by-step explanation:

9020 x 10 = 90200.

Just add one more zero when multiplying by ten.

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

To calculate the p(z ≥ 2.11), you can use a z-table to look up the z-score. This z-score falls in the area of the tail of the distribution, which means it is the area to the right of 2.11.

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

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A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer: its -11

Step-by-step explanation:

27-38 = -11

Answer:

4.8 square meters.

Step-by-step explanation:

Area of the 2 triangular sides = 2 * 0.8 * 0.6 = 0.96.

Area of the 3 rectangular sides

= 1.2*1.2 + 1*1.2 + 1*1.2 = 3.84.

Total surface area = 4.8.

The option (c) 40 + 360n, for any integer, n is correct for the given angle.

It is given that the options given below represent the measures of all angles coterminal with a 400° angle.

It is required to find the correct option given below:

a) 360 + 40n, for any integer, n

b) 360 + 40n, for any whole number, n

c) 40 + 360n, for any integer, n

d) 40 + 360n, for any whole number, n

For the given terminal angle the coterminal angles are defined as the different angle measures with the same terminal side and vertex side.

The given angle = 400°

If we subtract 360° from it, we will get:

= 400-360 = 40°

If we add 360° to a given angle: we get:

=400+360 = 760°

Here option (c) is correct because if we put n=0,1,2...., we get:

=40° (if n = 0)

= 400° (if n= 1)

=760 (if n=2)

Thus, option (c) 40 + 360n, for any integer, n is correct for the given angle.

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Answer:

its C

Step-by-step explanation:

Answer:

-2,-4,4

Step-by-step explanation:

just did edjunity

The root of the given equation x3 + 2x² - 16x - 32 is -2, -4 and 4.

Root is defined as a formula or number that, in most cases, represents the answer to an equation. There are some steps which are used to find the root. Divide the supplied number into its prime factors as the first step. Form similar factor pairings in which both factors are equal. This is step two. Take one element from the pair in step three. Calculate the product of the factors you got by taking one from each pair of factors if fourth step.

The equation is as follows: x3 + 2x2 - 16x - 32.

The equation's roots must all be located.

x3 + 2x2 - 16x - 32 = x2(x + 2) after common terms are removed.

- 16 (x + 2)  = (x2 - 16)(x + 2)

We are aware that (a2-b2) = (a-b)(a+b)

So, (x2 - 16) = (x - 4)(x + 4)

x3 + 2x2 - 16x - 32 = (x + 2)(x - 4)(x + 4) is the result now.

To get the roots, use the formulas:

= (x + 2) = 0

x = -2 = (x - 4) = 0

x = 4 = (x + 4) = 0

x = -4

Thus, the root of the given equation x3 + 2x² - 16x - 32 is -2, -4 and 4.

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Answer:

Not True

Step-by-step explanation:

>_<

\(\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}\)

Answer:

a) Perfect square.

b) 9

Step-by-step explanation:

The given numbers are perfect squares.

64 = 8*8

49 = 7*7

36 = 6*6

25 = 5*5

16 = 4*4

So, the next number will be 3 *3 = 9

Answer:

Z = 0

Step-by-step explanation:

Z is 0 because there’s no other possible solutions

A significance level of 0.05 was used to test the claim that pain reduction was more different in people who received the sham treatment than in people who received the magnet treatment. Then the conclusion of this hypothesis test is 2.39.

F test:

An F test is a statistical test in which the test statistic has an F distribution under the null hypothesis. It is most often used to compare fitted statistical models to a data set to determine which model best fits the population from which the data was drawn. An exact "F-test" mainly occurs when using least squares to fit a model to the data. The name was coined by George W. Sender in honor of Ronald Fisher.

According to the Question:

F-test stat is:

s₁²/s²₂ = 1.44²/ 0.93²

           = 2.39

Therefore,

Yes, there present a  statistical evidence of a difference between the variances.

Complete Question:

A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. As

Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.        

              n          x          s

sham-   20        0.44    1.44

Manet-  20        0.45    0.93

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Based on the graph provided, g(x) is negative only on the interval (6, infty), since that's when the y-values of g(x) are negative (or below the x-axis).

On that interval of (6,infty), f(x) is also below the x-axis, so (6,infty) is your answer.

Ancient Greeks invented math in the early 6th century BC.

Maths is the study of such topic as quantity, structure space and change A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 4 = 8. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

In the Beginning of 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right.

Around century 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

We can say that Ancient Greeks invented math in the early 6th century BC.

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The height of a pyramid with a right triangle as its base and a given volume of 1056 units³, is 22 units.

To find the height of a pyramid with a right triangle as its base and a given volume of 1056 units³, we can use the formula for the volume of a pyramid and the dimensions of the base triangle.

The height of the pyramid is determined as the quotient of twice the volume and the area of the base triangle.

The formula for the volume of a pyramid is V = (1/3) * base area * height. In this case, we are given the volume V = 1056 units³.

The base of the pyramid is a right triangle with legs measuring 16 units and 18 units.

To find the height of the pyramid, we need to calculate the area of the base triangle.

The area of a right triangle is given by the formula A = (1/2) * base * height.

Substituting the values, we have A = (1/2) * 16 * 18 = 144 units².

Now, we can determine the height of the pyramid using the formula for the volume.

Rearranging the formula, we have height = (3 * V) / (base area).

Substituting the given values, we get height = (3 * 1056) / 144 = 22 units.

Therefore, the height of the pyramid is 22 units.

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(a) The 95% confidence interval for proportion of residents in Muscat who consider television news as their major source of news is (0.485, 0.615).

(b) The sample-size of approximately 384 would be necessary to estimate the population proportion with a maximum error of 0.05 at a 95% confidence level.

To construct a confidence-interval for proportion of residents in Muscat who consider television news as their "major-source" of news, we use the  formula;

The Confidence-Interval = Sample Proportion ± Margin of Error

Part (a) : To calculate confidence-interval, we first find the sample proportion (p') and margin-of-error.

The Sample-Proportion (p') = Number of successes / Sample size

p' = 110 / 200 = 0.55,

The Margin-of-Error (ME) = Critical value × Standard Error

The "critical-value" depends on desired confidence-level. For 95% confidence-level, the "critical-value" corresponds to a z-score of 1.96.

The Standard-Error (SE) = √((p' × (1 - p')) / n)

Where n = sample size,

SE = √((0.55 × (1 - 0.55)) / 200) ≈ 0.033

Now we calculate the margin-of-error as :

ME = 1.96 × 0.033 ≈ 0.065,

Now, we construct the confidence interval:

Confidence Interval = 0.55 ± 0.065

Confidence Interval ≈ (0.485, 0.615)

So, the required confidence-interval is (0.485, 0.615).

Part (b) : To determine the sample size required to estimate the population proportion with "maximum-error" of 0.05 at a 95% confidence level, we use the formula:

Sample Size (n) = (Z² × p' × (1 - p'))/E²,

Where Z = critical value corresponding to desired confidence level,

p' = estimated proportion, and E = maximum error,

Using a Z-score of 1.96, and p' = 0.5 and E = 0.05, we calculate the sample size as :

n = (1.96 × 0.5 × (1 - 0.5)) / 0.05²

n ≈ 384.16

Therefore, the required sample-size is 384.

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Mrs. Malatlian has failed to meet the condition that np ≥ 10.

Meet is an event or gathering of people who have come together for a common purpose or to discuss specific topics. It typically involves a group of people who come together in person or virtually to exchange ideas and information. Meetings are often used as a platform for brainstorming, collaboration, problem solving, decision-making, and/or making plans. They can also serve as a platform for networking, team building, and connecting with others. Meetings can also be used to disseminate information or provide updates to a group.

Specifically, the sample size (n) is 28 and the proportion of those who plan to participate in the game (p) is 20/28 = 0.71.
Thus, np = 28(0.71) = 19.88 which is less than 10.

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