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At the sewing store, Tessa bought a bag of mixed buttons. She got 19 large buttons and 31
small buttons. What percentage of the buttons were large?
Write your answer using a percent sign (%).
You

Answer:

Additive inverse property

Step-by-step explanation:

Answer:

BC = 7

Step-by-step explanation:

x + 2 = 5

x = 3

this would also work for sides BC and AD.

(3 x 3) - 2 = 9 - 2 = 7

3 + 4 = 7

Answer:

D

Step-by-step explanation:

2/43 =j/13

2×13/43 = j

26/43 =j

The area of the triangle is 6 square units

The formula for calculating the area of a triangle is expressed as:

From the given triangle, the length of the diagonal of each square is expressed as:

\(l=\sqrt{1^2+1^2} \\l=\sqrt{2}\)

Height of the triangle = √2 + √2 = 2√2

Base of the rectangle = √2 + √2 + √2= 3√2

Area of the triangle= 0.5 * 2√2 * 3√2  

Area of the triangle 3(2)

Area of the triangle = 6 square units

Hence the area of the triangle is 6 square units

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The average size of a customer's bill at a restaurant that earns daily $3,250 for the meals that it sells to 200 customers is $16.25. Therefore, the right answer is option (c).

The average or mean is calculated by taking the ratio of the total sum of the outcomes of an event to the frequency or the number of times the event occurs.

It can be written as \(\frac{n_1+n_2+.....+n_a}{a}\).

In the given question, the sum of the customer bill is given as $3,250.

And the number of customers served is given to be 200.

Therefore, the average size of a customer's bill is calculated by \(\frac{3250}{200}\)

Which turns out to be $16.25.

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The answer is $16.25. To find the average size of a customer's bill, you would divide the total earnings by the number of customers.
$3,250 / 200 customers = $16.25 per customer.

To find the average size of a customer's bill at the restaurant, you need to divide the total daily earnings by the number of customers. Here's a step-by-step explanation:

1. The restaurant earns $3,250 daily from the meals it sells.
2. The restaurant serves 200 customers daily.

Now, calculate the average bill size:

3. Divide the total daily earnings ($3,250) by the number of customers (200).

$3,250 ÷ 200 = $16.25

The average size of a customer's bill at the restaurant is $16.25.

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Answer:

i think 223/499

Step-by-step explanation:

Answer:

slope: 4/5

y-intercept: (0,4)

slope intercept form: y = 4/5 x + 4

Step-by-step explanation:

to find the slope, you have to find the difference of the x coordinants and the difference of the y coordinants. since the two coordinants we have are 0,4 and 5,0 and we know that 0 - 5 is -5 and 0 - 4 is -4 we then have to divide the two. so now we get -4/-5. since a negative divided by a negative is a positive, the negative signs cancel out. since the fraction is in simplest form, that is our answer. also, since its rise over run, it means that everytime you go up or down 4 and over 5, you will reach a whole number on the graph.

okay, now the y-intercept is when the line crosses the y-axis/when x=0. the y-intercept for this example would be 4 or (0,4). i hope that makes sense. like i said ill get back to you on the slope thing in a minute just a second...

Answer:

\(\sf \boxed{\bold{x=1}}\)

Explanation:

\(\rightarrow \sf 7 log_9 (x + 8) = 7\)

divide both sides by 7

\(\rightarrow \sf \dfrac{7\log _9\left(x+8\right)}{7}=\dfrac{7}{7}\)

simplify the following

\(\sf \rightarrow \log _9\left(x+8\right)=1\)

apply log rules                   \(\underline{The \ rule}: \ \bold{log_{b} (a)= c} \ \ \Longrightarrow \sf a = b^c\)

\(\sf \rightarrow x+8 = 9^1\)

simplify

\(\sf \rightarrow x+8=9\)

subtract both sides by 8

\(\sf \rightarrow x=1\)

\(\\ \rm\Rrightarrow 7log_9(x+8)=7\)

\(\\ \rm\Rrightarrow log_9(x+8)=1\)

\(\\ \rm\Rrightarrow x+8=9^1\)

\(\\ \rm\Rrightarrow x+8=9\)

\(\\ \rm\Rrightarrow x=9-8\)

\(\\ \rm\Rrightarrow x=1\)

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

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The probability of selecting a P on the first draw and a V on the second draw is 2/4950

From the question, we are to determine the probability of selecting a P on the first draw and a V on the second draw.

From the formula for probability, we have that

P(A) = Number of favorable outcomes to A / Total number of possible outcomes

From the given tiles,

Number of favorable outcomes to P = 2

Total number of possible outcomes = 100

Thus,

Probability of selecting a P on the first draw = 2/100

On the second draw

Number of favorable outcomes to V = 2

Total number of possible outcomes = 99

Thus,

Probability of selecting a V on the second draw = 2/99

Now,

The probability of selecting a P on the first draw and a V on the second draw is

P(1st P and 2nd V) = 2/100 × 2/99

P(1st P and 2nd V) = 1/50 × 2/99

P(1st P and 2nd V) = 2/4950

Hence, the probability is 2/4950

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Answer:

B 33°

Step-by-step explanation:

sin x = 29/53

= 33.17

To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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Answer:

54 inches

Step-by-step explanation:

First, let's convert the measurements into a common measurement.

Since inch is the smallest measurement here, let's use that.

Ella's pet snake is 42 inches long.

Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.

Therefore, Roya's snake is 96 inches long.

To find out how many inches longer is Roya's snake, subtract:

96 - 42 = 54.

Therefore, Roya's snake is 54 inches longer than Ella's.

The length of a diagonal from one corner of the garden to the opposite corner is equal to the square root of the sum of the squares of the lengths of the sides of the garden. So, the length of the diagonal is about 20.2 meters.

Here's the solution:

Let d be the length of the diagonal.

We know that the length of the garden is 15 m and the width of the garden is 13.70 m.

We can use the Pythagorean theorem to find the length of the diagonal:

d^2 = 15^2 + 13.70^2

d = sqrt(15^2 + 13.70^2)

d = sqrt(225 + 187.69)

d = sqrt(412.69)

d = 20.2 m (rounded to the nearest tenth)

Answer:

Step-by-step explanation:

In point-slope form, our equation would be y - 9 = 2(x - 1). Expanding, we get y - 9 = 2x - 2. Solving for y, we obtain the form of the equation as shown in the problem: y = 2x + 7.

So, the numbers that would go in the blanks would be 2 and 7, respectively.

Answer:

24

Step-by-step explanation:

Calculator

a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:

E(X) = n*p = 1,000 * 0.32 = 320 births

Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.

b. The variance of the number of Caesarian section births in a sample of 1,000 births is:

Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76

Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.

c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.

The 95% confidence interval for the number of Caesarian section births is:

320 ± 1.96*(14.76) = (291.16, 348.84)

Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.

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Answer:

6:8, 3:4

hope this helps, im not sure if im correct tho sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

The way I understand (remember) the problem is....

you want to evaluate h(x)   by substituting 2 in for x's  

then substitute the value for h(2)  into  f(x) to get the answer

evalute f(h(2)) by following the parentheses  

h(x) = x² - 3x - 4        evaluate when x = 2

h(2) = 2² - 3(2) - 4

      =  4  - 6  -  4

h(2)  =  -6              so now -6   is the new x in the f(x) equation

f(x)   = 3x - 6

f(-6) = 3(-6) - 6

      =  -18 - 6

      =  -24

so             f(h(2))  = -24                        

Answer:

A is the truth

One trick that helps me memorize the placement of the atoms in each state is how the state acts. For example)

Solid, looks tough rigid. A group of Knight made a strong SOLID barrier by grouping together. So you assume that Solid has atoms that are close together

so knight (atoms) together = solid

Liquid, look at how wobbly it is, the knights are running together so their shield is NO LONGER SOLID. You assume that it is liquid cause they are all around, yet they are still together.

so knight (atoms) all around the place together = liquid

Now gases, they are crazy, they go everywhere. The knights are running their own separate way.

So knights (atoms) running everywhere = gases

Hope that answers your question.

Wish the examples were written better tho.

Step-by-step explanation:

Answer:

Step-by-step explanation: it is 0 the reason it is 0 is becasue it = it

Answer:

102 yards.

Step-by-step explanation:

If she walked 30 yards and 72 all you have to do is add them together wich is 102 yards. If thats how far she walked in all she probably walked the same length back unless she took a longer way or a short cut.

I hope this helps!

By using the concept of testing of hypothesis, it can be calculated that

The required test statistic is t = 0.918

What is testing of hypothesis?

Suppose, there is a hypothesis and there is a data at hand. Testing of hypothesis is a method of inferencing which is used to decide whether the given hypothesis is true or not based on the statistical data given

From the table attached here, it can be calculated that

\(\bar{x}_{2012}=365.4667\\s^{2}_{2012}=27133.66364\\\bar{x}_{2013}=331.775\\s^{2}_{2013}=29750.53782\\n_{2012}=45\\n_{2013}=40\\\)

So the test statistic t is

\(\large t=\frac{\bar{x}_{2012}-\bar{x}_{2013}}{\sqrt{\frac{s^{2}_{2012}}{n_{2012}}+\frac{s^{2}_{2013}}{n_{2013}}}}\)

\(t=\frac{365.4667-331.775}{\sqrt{\frac{27133.66364}{45}+\frac{29750.53782}{40}}}\)

\(t \large =\frac{33.6917}{36.6978711}\)

t = 0.918

The value of the test statistic is 0.918

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Option (a) 1/50 The average of the 50 samples of x can be calculated as the sum of the values of x divided by the number of samples, which is 50 in this case.

Since x has a mean of 1, we know that the sum of the values of x is 50 times 1, which is 50. The variance of x is 4, which means that the standard deviation of x is 2. This means that the standard error of the mean of x, which is the standard deviation of the sample mean, is 2 divided by the square root of 50, which is approximately 0.283. Therefore, the 95% confidence interval for the mean of the 50 samples of x is [1 - 1.96(0.283), 1 + 1.96(0.283)] = [0.44, 1.56]. Since none of the answer choices fall within this interval, we cannot determine the correct answer without additional information.

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Answer:

75.9

Step-by-step explanation:

Answer:

0, 2, 4

Step-by-step explanation:-2 + 2 = 0 + 2= 2 + 2 = 4

The function table is solved and the quadratic equation is f ( x ) = -3x²

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

f ( x ) = -3x²

when x = -2

f ( -2 ) = -3 ( -2 )²

f ( -2 ) = -12

And , when x = 0

f ( 0 ) = 0

when x = 2

f ( 2 ) = -12

when x = 4

f ( 4 ) = -48

Hence , the function table is f ( x ) = { -12 , 0 , -12 , -48 }

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