Jay has five fewer $100 bills in his wallet than $50 bills. If he has only $50 and $100 bills in his wallet, and the total amount of money in his wallet is $1300, let’s find the number of notes of each denomination.


Let’s assume the number of $50 bills as x. So, in terms of x, the number of $100 notes can be represented as ____.



Now, the total amount contributed by $50 notes is $50x



And. The total amount contributed by $100 bills is $100×( ____ )

Answer:

11 feet

Step-by-step explanation:

It is found if originally the length was 7 ft, then it has to be 11 ft longer.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have given the initial dimensions are:

length: 7 feet

width: 6 feet

Therefore the area of the garden is given by:

Area = L x W

Area =  7 feet x 6 feet  = 42 square feet.

Since we need the area to be 108 square feet , then we can only change the length the width will still be 6ft.

We substitute the value of the new area and the width to the equation for the area as;

Area = L x W

108 = L x 6

L = 108/6

L = 18 feet

The length of the garden for the area to be 108 square feet, must be 18 ft.

This means that if originally the length was 7 ft, now it has to be 11 ft longer.

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Answer:

105

Step-by-step explanation:

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:

-9

Step-by-step explanation:

The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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Answer:

aw baby naw that not cool

Step-by-step explanation:

Answer:

To get back to sea level, the scientist must now rise a total of 19.2 feet. This is calculated by subtracting the total amount of feet she has descended (37.4 + 8.4 = 45.8 feet) from the total amount of feet she has traveled (37.4 + 19.8 + 8.4 = 65.6 feet). Therefore, 19.2 feet (65.6 - 45.8) must be ascended in order to reach sea level.

The data point associated with the z-score of -1.5 in this Data set is 23.5.

1. Mean: The mean, also known as the average, is a measure of central tendency that represents the typical value of a dataset. In this case, the mean of the data set is 28, indicating that the average value of the data points is 28.

2. Standard Deviation: The standard deviation is a measure of the dispersion or spread of the data points around the mean. It quantifies the variability in the dataset. Here, the standard deviation for the data set is 3, suggesting that the data points, on average, deviate from the mean by approximately 3 units.

3. Z-score: A z-score measures how many standard deviations a data point is from the mean. It allows us to compare and analyze individual data points in relation to the rest of the dataset. In this case, the z-score for a particular data point is -1.5. This means that the data point is 1.5 standard deviations below the mean.

To calculate the actual value of the data point associated with the given z-score, we can use the formula:

z = (x - mean) / standard deviation

Rearranging the formula to solve for x (the data point), we have:

x = z * standard deviation + mean

Plugging in the given values:

x = -1.5 * 3 + 28

x = -4.5 + 28

x = 23.5

Therefore, the data point associated with the z-score of -1.5 in this data set is 23.5.

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Answer:

Step-by-step explanation:

185416

Answer:

185,416 this is the answerr

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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The appropriate z-value to use in the situation given in the question is 1.28.

Given,Total number of adults in the sample = 2092

Number of adults using the internet = 1318

Number of internet users who expect businesses to have websites that give product information = 1041

Probability of internet users who expect businesses to have websites that give product information as per the teacher's statement = 80% = 0.8

To find the appropriate z-value to use in this situation, we need to calculate the standard error of proportion, which is given by:

SEp = √[p(1-p)/n]

where p is the proportion of internet users who expect businesses to have websites that give product information and n is the sample size.

Substituting the given values in the formula,

SEp = √[(1041/1318)(1-1041/1318)/1318]SEp = 0.019

z-value is given by:

z = (p - P)/SEp

where P is the proportion of internet users who expect businesses to have websites that give product information as per the teacher's statement.

Substituting the given values in the formula,

z = (0.8 - 1041/1318)/0.019

z = - 1.28

The appropriate z-value to use in this situation is -1.28.

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Answer:

B

Step-by-step explanation:

A constant rate of change refers to a pattern/slope that is unchanging. On a graph, these rate of changes are usually represented by a straight line, and B is the only graph in the question with such a line.

The probability that the team wins a game is given as follows:

0.53 = 53%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The percentages for wins in this problem are given as follows:

Hence the probability that the team wins a game is given as follows:

p = 0.75 x 0.6 + 0.2 x 0.4

p = 0.53 = 53%.

The complete problem is:

During one season, a high school baseball team leads at the end of the fifth inning in 60% of the games. the team wins 75% of the time when they have the lead after 5 innings, but only 20% of the time when they do not. What is the probability that a team wins a single game.

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Based on the information provided, a test-taker who scores at the 5th stanine is scoring:
C. within the average range.

To better understand this, let's break down the terms and concepts involved:
Stanine: Stanine (short for "standard nine") is a method used to scale test scores on a nine-point scale.

The stanine scores range from 1 (lowest) to 9 (highest).

This method is typically used in educational assessments to categorize students' performance.
Average: In the context of test scores, the average score refers to the middle range of scores that is typical for the majority of test-takers.

In the case of stanine scores, the average range falls between 4 and 6.

This means that students scoring in stanines 4, 5, and 6 are considered to be within the average range.
Now, to answer your question, a test-taker who scores at the 5th stanine is considered to be within the average range of performance.

This is because their score falls between the 4th and 6th stanines, which, as mentioned earlier, encompass the average range.

It's important to note that this doesn't mean the student is performing poorly; rather, their performance is on par with the majority of other test-takers.

Option C. within the average range is correct.  

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Answer:

there should be 4 plates per stack

Step-by-step explanation: hope this helps

Answer:

4 stacks of plates

Step-by-step explanation:

20 divided by 5 is eqaul to the amount of plates per stack, which is 4

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

ans: 80 °

Step-by-step explanation:

given two triangle are isosceles triangle so,

triangle having angle a;

a + 2d = 180

d = 54° ( since a= 72°)

d is vertically opposite to angle of triangle containing x,

similar reason for b ,

hence

x+ d + b = 180

x = 180 - 54 - 46

= 80°

Answer:

-5

Step-by-step explanation:

-7 - (-2)

-7 + 2

Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2  to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.

Hope this helps:)

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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She needs 7 mice for 5 snakes.

To solve this, we can use the following equation:

number of mice = number of snakes + 2

If there are 5 snakes, then she needs 5 + 2 = 7 mice.

The explanation is as follows:

* She needs one mouse for each snake.

* She also needs two extra mice.

* Therefore, she needs a total of 1 + 2 = 3 mice for each snake.

* If there are 5 snakes, then she needs 5 * 3 = 15 mice.

* However, we need to round up to the nearest tenth, so she needs 7 mice.

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The interquartile range (IQR) formula is: IQR = Q3 - Q1, where Q1 is the first quartile and Q3 is the third quartile of a dataset.

The interquartile range (IQR) is a measure of variability in a dataset that represents the range between the first quartile (Q1) and the third quartile (Q3). The first quartile (Q1) is the value that separates the lowest 25% of the data from the rest of the dataset, and the third quartile (Q3) is the value that separates the highest 25% of the data from the rest of the dataset.

Therefore, the IQR formula is simply the difference between the third and first quartiles: IQR = Q3 - Q1. The IQR is commonly used to identify outliers in a dataset, where any data points that fall outside of the range Q1 - 1.5IQR to Q3 + 1.5IQR are considered outliers.

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Answer:

57% of 11 is 6.27

Step-by-step explanation:

All we have to do is convert the percent to a decimal, then multiply the decimal by 11.

0.57 × 11 = 6.27

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

Step-by-step explanation:

The expression x2−4x−12 has factors (x-6) and (x+2), and the function has zeros at x=-2 and x=6.

Therefore, the correct statement is: "The expression x2−4x−12 has factors (x-6) and (x+2), and the function has zeros at x=-2 and x=6."

Answer:

Step-by-step explanation:

The length is 3 × width.

l = 3w

The perimeter is 24 centimeters.

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

3 = w

The width is 3 centimeters.

l = 3(3)

l = 9

The length is 9 centimeters.

Area is l × w.

A = l × w

A = 9 × 3

A = 27

The area is 27 squared centimeters.

Answer:

27

Width= x

Length= x × 3 =3x

so, 3x+3x+x+x=24

8x=24

x=24/8

x=3

so, length=3(3)=9

width=3

therefore,

Area=9×3

=27

Answer:

  (d)  HA

Step-by-step explanation:

You have two right triangles with the hypotenuse and one angle marked as congruent. You want to know the applicable theorem for claiming the triangles are congruent.

When two triangles are known to be right triangles, the known angle is opposite the longest side (hypotenuse), and the two legs are the sides that form that known angle. Hence, some special theorems can be invoked for right triangles:

  LA — leg, angle; equivalent to ASA

  LL — leg, leg; equivalent to SAS

  HA — hypotenuse, angle; equivalent to AAS

  HL — hypotenuse, leg; no equivalent for non-right triangles

The given triangles have the hypotenuse (H) and an acute angle (A) marked, so the HA theorem can be used to prove congruence.

__

Additional comment

The HL condition described above refers two two consecutive sides and the angle not between them (SSA). This set of descriptors will create a unique triangle if and only if the angle is opposite the longest side. In general, that will not be the case, but it is guaranteed to be the case for a right triangle.

The ordered pair (2, 7) is a solution to the equation  9 x-y-11=0.

To determine whether the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.

we substitute the values of x and y from the ordered pair into the equation and check if it satisfies the equation.

Given ordered pair: (2, 7)

Substituting x = 2 and y = 7 into the equation:

9(2) - 7 - 11

= 18 - 7 - 11

= 18 - 18

= 0

Since the equation holds true when the values of x and y are substituted, the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.

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Answer:

A

Step-by-step explanation:

16^(1/3) * 4^(2/3)

Convert base 16 to base 4

Remember that base 16 = 4^2

16^(1/3) = 4^(2)*(1/3)

16^(1/3) = 4^(2/3)

Solution

4^(2/3) * 4^(2/3)

What numbers of the same base are multiplied, their powers are added.

4^(2/3 + 2/3) = 4^(4/3)

Using the same method as above 4^(4/3) = 2^2 (4/3) = 2^(8/3)

Answer: 2^(8/3)           A

Answer:

the plane flies 396,000yd in 30 min

Step-by-step explanation:

450 / 2 = 225

1 mile = 1,760

225 * 1,760 = 396,000 yd

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-Lil_G

Step-by-step explanation:

450 miles = 1hour = 60mins

X miles = 30mins

cross multiply

450 × 30 = 60 × X

13500 = 60X

divide through by 60

225 = X

therefore, X = 225miles

now

1 mile= 1760 yards

225 miles = X

cross multiply

X = 1760 ×225

X = 396000 yards

Answer:

sinB = \(\frac{12}{13}\)

Step-by-step explanation:

sinB = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{12}{13}\)

The Trigonometric ratios is 12/13

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

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