17. Mathew weighed 96 ounces when he was born. His baby sister, Megan weighed 7 pounds at birth. Who weighed more? ​

Based on the statistical analysis with a 0.07 significance level, there is sufficient evidence to support the claim that more than one-third of Virginia's residents aged 25 or older have a bachelor's degree or higher.

To test the claim, we can use a hypothesis test. The null hypothesis (H₀) states that one-third or less of Virginia's residents aged 25 or older have a bachelor's degree or higher. The alternative hypothesis (H₁) states that more than one-third have a bachelor's degree or higher. In this case, we want to gather evidence to support the alternative hypothesis.

We can perform a one-sample proportion test using the given data. Out of the 1437 randomly selected Virginians, 557 of them have a bachelor's degree or higher. This gives us a sample proportion of 557/1437 ≈ 0.3874. We can compare this sample proportion to the hypothesized value of one-third (0.3333) using a significance level of 0.07.

By conducting the hypothesis test, we calculate the test statistic and compare it to the critical value from the standard normal distribution. If the test statistic falls within the critical region, we reject the null hypothesis in favor of the alternative hypothesis. In this case, with a p-value less than 0.07, we have enough evidence to conclude that more than one-third of Virginia's residents aged 25 or older have a bachelor's degree or higher.

Therefore, based on the statistical analysis, we can confidently state that there is sufficient evidence to support the claim that more than one-third of Virginia's residents aged 25 or older have a bachelor's degree or higher.

Learn more about hypothesis

brainly.com/question/32562440

#SPJ11

175 sodas is the equivalent total number of sodas.

Let's suppose the total number of sodas sold is x.

Given that the number of diet sodas sold is 21, we can write:

21 = 0.12x (since 12% of the total soda sales were diet sodas)

Now, we can solve for x by dividing both sides of the equation by 0.12:

21/0.12 = x

x = 21 * 100/12

x = 2100/12

x = 175

Therefore, the total number of sodas sold was 175.

Learn more on word problem here: https://brainly.com/question/21405634

#SPJ1

Answer:

Rate: 36:3

Unit Rate: 12:1

Step-by-step explanation:

1732 + 1273 + 1638 = 4643

this is the answer, hope it helps!

Answer:

\(y=\frac{6}{5}x-24\)

Step-by-step explanation:

\(Since\ the\ yellow\ points\ are\ \left(20,0\right)and\ \left(70,60\right)\)
\(so,\ set\ the\ equation\ of\ this\ is\ y=mx+b\)
\(\rightarrow0=m\times20+b\)
   \(60=m\times70+b\)

  \(get\ m=\frac{6}{5},b=-24\)

\(so,\ the\ slope-intercept\ form\ of\ it\ is\)
       \(y=\frac{6}{5}x-24\)
\(\left\{Substitution\ method\right\}\)

I hope this helps you

:)

Answer:

\(R = 17\)

Step-by-step explanation:

Given

\(P = -5\)

\(Q = 6\)

Midpoint: Q

Required

Determine R

Since Q is the midpoint, then

\(Q = \frac{1}{2}(P + R)\)

Substitute values for P and Q

\(6 = \frac{1}{2}(-5 + R)\)

Multiply both sides by 2

\(12 = -5 + R\)

Add 5 to both sides

\(12 + 5 = -5 + 5 + R\)

\(17 = R\)

\(R = 17\)

The given problem involves finding the area of a region that is enclosed by two curves in Part A, and three curves in Part B. Specifically, in Part A, we are asked to find the area between f(x) = 0.6x^2 + 10 and g(x) = x from x = -8 to x = 8. In Part B, we are asked to sketch the region in the first quadrant enclosed by the curves y = 5/x, y = 2x, and y = 12x, and then find the area of the region.To solve Part A, we need to first find the x-values of the intersection points between the two curves, which are given.

We can then use integral calculus to find the area between the curves, by integrating the difference between the two curves with respect to x, within the given limits.

To solve Part B, we need to sketch the region enclosed by the three curves, and determine the limits of integration. We also need to decide whether to integrate with respect to x or y, based on the shape of the region. Once we have determined the limits and the variable of integration, we can use integral calculus to find the area of the region.

Overall, the problem involves applying the techniques of integral calculus to find the area of a region enclosed by one or more curves. It also requires an understanding of the properties of functions and their graphs, as well as the methods of sketching and analyzing regions in the plane.

For more similar questions on topic Integral calculus.

https://brainly.com/question/18651211

#SPJ11

Answer:

19/3

Step-by-step explanation:

x+1 2/3=8

1 2/3=5/3

x+5/3=8

x=8-5/3

x=24/3-5/3

x=19/3

Answer:

48

Step-by-step explanation:

12*4=48

Hi

6 * (3+8)  =  6 * 11 = 66

Answer:

66

Step-by-step explanation:

6 (3+8) aka 6×(3+8)

6 (11)

= 66

Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

The number of cruise passengers must there have been in 2017 is  26.7 million.

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)

Multiplying both sides by 100;

\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)

Dividing both sides by 106.7;

\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

To know more about the percentage, here

https://brainly.com/question/24304697

#SPJ4

The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a function:

\(\rm f(x) = \frac{7x^2+x+1}{x^4+1}\)

Applying limit:

\(\lim_{x \to \pm \infty} \rm f(x)\)

\(\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}\)

Divide by x^4 on the numerator and denominator, we get:

\(\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}\)

So the value of the limit will be zero whereas x tends to ±∞

Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

Learn more about the limit here:

brainly.com/question/8533149

#SPJ2

If this assumption is not met, the risk we run in making inferences about the population is that our conclusions may be biased or inaccurate, leading to misleading or incorrect results when applied to the entire population of heart-attack patients. This could have negative implications for treatments or public health policies based on these inferences.

In order for us to use this sample of 30 heart-attack patients to make inferences about the whole population of heart-attack patients, we must assume that the sample is representative of the population. This means that the 30 patients were chosen randomly from the population of heart-attack patients and that the sample accurately reflects the characteristics of the population. Additionally, we must assume that the sample size is large enough to provide reliable results.
If this assumption is not met, then we run the risk of making incorrect inferences about the population of interest. For example, if the sample is biased and not representative of the population, the inferences we draw may not be applicable to the larger population. Similarly, if the sample size is too small, our inferences may be unreliable and subject to sampling error.
In order to avoid these risks, it is important to carefully consider the sampling method and sample size when conducting research. By ensuring that the sample is representative and the size is appropriate, we can have more confidence in our inferences about the larger population. Answer more than 100 words.
To make inferences about the whole population of heart-attack patients using a sample of 30, we must assume that the sample is representative of the entire population. This means that the sample should be random, unbiased, and large enough to capture the diversity in the population.

To know more about Population visit:

https://brainly.com/question/30935898

#SPJ11

Answer:

20:40

Step-by-step explanation:

The required ratio of lollipops to candy bars is 1:2.

Given that,
There are 20 lollipops and 40 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total number of lollipops = 20, in a bag

Total number of candy bars = 40, in a bag

The ratio of lollipops to a candy bar in a bag,
Ratio = number of lollipops/number of candy bars
Ratio = 20 / 40
Ratio = 1 / 2
Ratio = 1:2

Thus, the required ratio of lollipops to candy bars is 1:2.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

We can write the given algebraic expression as a function of \(\theta\) as: \(f(\theta) = 9|\tan\theta|\)

We are given the algebraic expression:

\(\sqrt{x^2 - 81}\)

We are also given the substitution:

\(x = 9\sec\theta\)

We can substitute x  with \(9\sec\theta\) in the given expression:

\(\sqrt{x^2 - 81} = \sqrt{(9\sec\theta)^2 - 81}\)

Simplifying the expression inside the square root:

\(\sqrt{(9\sec\theta)^2 - 81} = \sqrt{81\sec^2\theta - 81} = \sqrt{81(\sec^2\theta - 1)}\)

Recall that \(\sec^2\theta - 1 = \tan^2\theta .\)

Substituting this into the expression:

\(\sqrt{81(\sec^2\theta - 1)} = \sqrt{81\tan^2\theta} = 9|\tan\theta|\)

Finally, we can write the given algebraic expression as a function of \(\theta\) as:

\(f(\theta) = 9|\tan\theta|\)

Note that the absolute value is used because the substitution \(x = 9\sec\theta\)  only holds for \(0 < \theta < \frac{\pi}{2}\), but \(\tan\theta\) can be negative in the second quadrant. The absolute value ensures that the function is always non-negative.

To learn more about algebraic expression visit:https://brainly.com/question/953809

#SPJ11

Answer:

4

Step-by-step explanation:

In the terms 4x and 8, 4 is the greatest factor that both terms share.

According to given information, answer is \(x = 2/3\).

The equation is \(16 * 4^{(x - 2)} = 64^{-2x}\).

Let's begin by simplifying both sides of the equation \(16 * 4^{(x - 2)} = 64^{-2x}\).

We can write \(64^{-2x}\) in terms of \(4^{(x - 2}\).

Observe that 64 is equal to \(4^3\).

So, we have \(64^{(-2x)} = (4^3)^{-2x} = 4^{-6x}\)

Hence, the given equation becomes \(16 * 4^{(x - 2)} = 4^{(-6x)}\)

Let's convert both sides of the equation into a common base and solve the resulting equation using the laws of exponents.

\(16 * 4^{(x - 2)} = 4^{(-6x)}\)

\(16 * 2^{(2(x - 2))} = 2^{(-6x)}\)

\(2^{(4 + 2x - 4)} = 2^{(-6x)}\)

\(2^{(2x)} = 2^{(-6x)}\)

\(2^{(2x + 6x)} = 12x\)

Hence, \(x = 2/3\).

Answer: \(x = 2/3\).

To know more about equation, visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

48

Step-by-step explanation:

(9*4) + (6*2)

36 + 12

= 48

Step-by-step explanation:

no:questions=15

correct questions =9

marks for correct answers =9×4=36

incorrect answers=6

marks for incorrect answers =(-2)×6=(-12)

full marks =36 - (-12)

=36 + 12

=48

The pairs of insulated socks has a unit rate of $7.99

From the question, the given parameters are

The above parameters can be represented as the following points

(x, y) = (6, 47.94)

The unit rate of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have the following equation

k = 47.94/6

Evaluate the quotient

So, we have

k = 7.99

Hence, the unit rate is $7.99

Read more about unit rate at

https://brainly.com/question/620388

#SPJ1

Answer:

Slope would equal 3.

slope= (y2-y1)/(x2-x1)

Plug in you get (8-2)/8-6)

Simplify (6)/(2)=3

Step-by-step explanation:

The number of square units enclosed by the polygon is 18.

First, count the number of dots that are enclosed by the polygon (including those on the boundary). There are 14 such dots.Next, count the number of dots on the boundary of the polygon. There are 8 dots on the boundary.Each of the dots on the boundary corresponds to a line segment of the polygon.

So, the perimeter of the polygon is 8 units (the length of each of these line segments).Now, we can use Pick's theorem to find the area of the polygon. Pick's theorem states that A = i + b/2 - 1, where A is the area of the polygon, i is the number of dots inside the polygon, and b is the number of dots on the boundary of the polygon.

So, plugging in the values we have: A = 14 + (8/2) - 1 = 14 + 4 - 1 = 17

Therefore, the area of the polygon is 17 square units.However, we have to remember that the dots are spaced one unit apart, horizontally and vertically.

Therefore, each square that is enclosed by the polygon has an area of 1 square unit. We counted 17 such squares, so the total area enclosed by the polygon is 17 square units.

To know more about polygon click on below link:

https://brainly.com/question/24464711#

#SPJ11

Answer:

r=24

Step-by-step explanation:

\(\\ \bull\tt\longrightarrow T_n=n^2+2n+9\)

\(\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12\)

\(\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17\)

\(\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24\)

Answer: 2

Step-by-step explanation:

If there are three times as many students when there are 6 students you do 6 divided by three to give you two.

The correct answer is d. 56.

When computing a correlation coefficient, the degrees of freedom (df) is calculated as (n-2), where n is the sample size. In this case, we are given that df = 55.

Substituting df = 55 into the formula, we get:

55 = n - 2

Adding 2 to both sides, we get:

n = 57

Therefore, the sample size must be 57 in order to have 55 degrees of freedom when computing a correlation coefficient.
Hi! When computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57 (Option c).

Here's the step-by-step explanation:
1. Recall that the formula to find degrees of freedom (df) in correlation is df = n - 2, where n is the sample size.
2. In this case, the degrees of freedom is given as 55.
3. To find the sample size (n), you'll need to rearrange the formula: n = df + 2.
4. Substitute the given degrees of freedom into the formula: n = 55 + 2.
5. Solve for n: n = 57.

Therefore, when computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57.

To know more about coefficient visit:

https://brainly.com/question/1038771

#SPJ11

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

To learn more about substitute link is here

brainly.com/question/18330729

#SPJ4

Answer:

r = -3

Step-by-step explanation:

-8-6(r+4)=-8r-38 distribute -6 into the parentheses

-8-6r-24=-8r-38 simplify

-6r-32=-8r-38 add 8r to both sides

2r-32=-38 add 32 to both sides

2r=-6 divide both sides by 2

r = -3

Answer:

\(r=-3\)

Step-by-step explanation:

Alright.

\(-8-6(r+4)=-8r-38\)

First, we'll distribute that \(-6\).

\(-8-6r-24=-8r-38\)

Next, I'm going to move the \(-8r\) to the other side.

\(-8-6r-24+8r=-38\)

That means the sign changes. Now, I'll combine like terms on the left.

\(2r-32=-38\)

Now, I'll move the \(-32\) over to the right.

\(2r=-6\)

Divide both sides by 2.

\(r=-3\)

And we're done!