3. In Mrs. Middleton's math class, there are 7 more boys than girls. If there are 29 total students in the class, how many boys are there?​

Answer:

The scale factor used is 0.4

Step-by-step explanation:

Given

\(R = (3,9)\)

\(R' = (1.2, 3.6)\)

Required

Determine the scale factor of RST

The question can be solved using scale factor formula

Scale factor is calculated as thus;

\(Scale\ Factor = \frac{New\ Length}{Old\ Length}\)

In this case; R' is the new length and R is the old length

\(Scale\ Factor = \frac{R'}{R}\)

Substitute the values of R and R'

\(Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}\)

Factorize the denominator

\(Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}\)

\(Scale\ Factor = \frac{1}{2.5}\)

\(Scale\ Factor = 0.4\)

Hence, the scale factor used is 0.4

Answer: 4

Step-by-step explanation:

\(\frac{1}{3} \pi 3^{2} h=12\pi \\3h=12\\h=4\)

Answer:

-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)

Distribute to remove the parentheses.

Collect like terms

-154y+170

Step-by-step explanation:

Option B  Hθ:ն≥1007.24;HAն≤1007.24  represents the null hypothesis (H₀) stating that the average expenditure is equal to or greater than $1,007.24, and the alternative hypothesis (Hₐ) stating that the average expenditure is less than $1,007.24.

The null hypothesis (H₀) and alternative hypothesis (Hₐ) for the given scenario can be determined as follows:

Null Hypothesis (H₀): The average shopper will spend an amount equal to or greater than $1,007.24 during the holiday shopping season.

Alternative Hypothesis (Hₐ): The average shopper will spend an amount less than $1,007.24 during the holiday shopping season.

Based on the given options, the correct choice is:

b. Hθ:ն≥1007.24;HAն≤1007.24

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add all the sides!

[side one] + [side two] + [side three]

[7y + 10] + [7y + 10] + [y - 4]

= 14y + 20 + y - 4

= 15y + 16

hope this helps :) !!

Answer:

15y + 16

Step-by-step explanation:

2(7y + 10) + y - 4

14y + 16 + y

15y + 16

The Correct option for this is  b: standard error.


- The sample size formula for a mean is given as n = (zα/2 * s / E)^2.
- Here, s represents the standard error of the mean, which is the standard deviation of the sample mean distribution.
- The standard error reflects the variability of the sample means around the true population mean.
- It is not the same as the sample size, which represents the number of observations in the sample.
- It is also not the same as the sample estimate, which is the calculated value of the sample mean.
- Similarly, it is not the same as variability, which can refer to the spread of data or the variance of the population.

Therefore,The Correct option for this is  b: standard error.

In summary, the s in the sample size formula for a mean stands for standard error, which is a measure of the variability of sample means around the population mean.

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The correct answer is d. variability.

In the sample size formula for a mean, the letter "s" represents variability. Variability refers to the extent to which data points in a sample differ from each other and from the mean. It is an important factor to consider when determining the appropriate sample size for a study.

When calculating the sample size needed to estimate a population mean, researchers often use the formula:

n = (Z * σ / E)²

Where:

- n represents the required sample size

- Z is the z-score corresponding to the desired level of confidence (e.g., 1.96 for a 95% confidence level)

- σ is the standard deviation of the population

- E is the desired margin of error

In this formula, the standard deviation (σ) represents the measure of variability in the population. It indicates how spread out or clustered the data points are around the mean. By incorporating variability into the sample size calculation, researchers can ensure that their sample adequately represents the population and provides accurate estimates of the mean.

It is worth noting that in practice, researchers often do not have access to the true population standard deviation (σ). In such cases, they may estimate it using preliminary data or historical information. This estimated standard deviation is denoted as s, which stands for sample standard deviation. However, in the context of calculating sample size, s does not represent sample size but rather an estimate of population variability.

To summarize, in the sample size formula for a mean, "s" stands for variability, specifically representing either the true population standard deviation (σ) or an estimated value of it (s).

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Answer:

Where the information

Step-by-step explanation:

Answer: The answer is D 0.0032

Step-by-step explanation:

c) The measures of spread for Mrs. Hampton’s class data are given as follows:

d) The better measure of spread is the interquartile range, as the measure of 0 is an outlier.

First we consider the dot plot, which shows the number of times that each observation appears in the data-set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data-set.

The data-set is composed by 26 values, hence the first quartile is the element at the position:

0.25 x 26 = 6.5 (between 6th and 7th).

Both are the same, of 5.

The third quartile is of:

0.75 x 26 = 19.5.

Hence it is of 8.

Thus the IQR is calculated as follows:

IQR = 8 - 5  = 3.

The range is the difference between the highest and the lowest value, hence:

Range = 10 - 0 = 10.

The high range is only due to the outlier of zero, hence the IQR is the better measure of spread.

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

Answer:

$235 - 25% = $176.25

$235x 7% = $16.45

176.25

16.45

+______

(  $192.7 )

Answer:

Trevor read 157.5 pages this week.

Step-by-step explanation:

Simple multiplication.

Multiply 5 by 5 first to get 25, carry the 2 on top and then multiply 3 by 5 to get 15, make sure to add 2 to get 17.  The first line should be 175.

Put a 0 on the last digit to solve for the next digit.  Multiply 4 by 5 to get 20, carry the 2 on top and then multiply 3 by 4 to get 12, make sure to add 2 to get 14.  The second line should be 1400.

Add the numbers up to get 1575, since there is one number behind the decimal, you should put a decimal in front of the last 5 for the answer in which it is 157.5.

Answer:

The first one

Step-by-step explanation:

Distribute the -3

6x-12+5≥7x+8

Answer: D

Step-by-step explanation:

5 x 3 = 15

8 x 3 = 24

the multipliers are both 3

so they are "similar shapes".

The other options don't have the same multipliers so they aren't right :)

Answer:

33 and a half over 7

Step-by-step explanation:

Answer:

33/7

Step-by-step explanation:

Answer:

Move all terms not containing k to the right side of the equation.

Exact Form:

k = 43/4

Decimal Form: k = 10.75

Mixed Number Form:

k = 10 3/4

Answer:

3/7

Step-by-step explanation:

Being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.

Yes, Li should be pleased with her salary. Being in the 78th percentile means that Li's salary is higher than 78% of the salaries reported in the survey. In other words, the majority of recent college graduates earn a lower salary than Li does. This is a positive outcome and indicates that Li is earning more than a significant portion of her peers.

Being in a higher percentile suggests that Li's salary is above average and reflects her market value and the demand for her skills and qualifications. It indicates that she is likely being compensated fairly for her education, experience, and the value she brings to her employer. This can be seen as a validation of her hard work, dedication, and successful entry into the job market.

Moreover, being in the 78th percentile also implies that Li has a higher income relative to a large proportion of individuals her age, which can provide financial stability and opportunities for personal and professional growth.

Overall, being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.

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Answer:

2/3

----------------------

Answer:

5 or -7

Step-by-step explanation:

Use the quadratic formula to solve for x:

\(x^2+2x-35=0\\x=\frac{-b\±\sqrt{b^2-4ac} }{2a} \\x=\frac{-2\±\sqrt{2^2-4(1)(-35)} }{2(1)} \\x=\frac{-2\±\sqrt{4+140} }{2}\\x=\frac{-2\±\sqrt{144} }{2}\\x=\frac{-2\±12}{2}\\x=-1\±6\)

Simplify to get two real solutions, 5 and -7.

\(\\ \sf\longmapsto x^2+2x-35=0\)

\(\\ \sf\longmapsto x^2-7x+5x-35=0\)

\(\\ \sf\longmapsto x(x-7)+5(x-7)=0\)

\(\\ \sf\longmapsto (x+5)(x-7)=0\)

\(\\ \sf\longmapsto x=-5\:or\:x=7\)

Answer:

a= 32

Step-by-step explanation:

Since "a" is a part of a supplementary angle (An angle that adds up to 180º)

What you would need to do is add 58º and 90º (90º because the right angle = 90)

so 58+90 = 148

Then you would subtract 148 from the total of the angle (Which is 180)

so 180 - 148 = 32, And that shows that a = 32

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Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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Answer:

7. x = 28

8. x = 70

Step-by-step explanation:

7. 180 - 90 - 62 = 28

x = 28      (By i think the alternate interior angles theorem, haven't done geometry in a while so sorry if thats not the right theorem).

8.

180 - 110 = x

180 - 110 = 70

x = 70

Supplementary angles theorem.

Option D: When one variable is dichotomous and the other is regular, numerical scores.

The phi-coefficient is used when one variable is dichotomous and the other is regular, numerical scores. It is a measure of the association between two dichotomous variables, similar to Pearson’s correlation coefficient for continuous variables.

The phi-coefficient is an effective way to compare the difference between two variables because it compares the difference between the variables rather than the absolute values of the variables.

For instance, it is commonly used in psychology, social science, and other fields when the research focuses on categorical variables.

The answer is D: When one variable is dichotomous and the other is regular, numerical scores.

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Alex had 5 buckets of water left after spilling 3 2/3 buckets.

To determine how many buckets of water Alex had left after spilling 3 2/3 buckets, we can subtract the amount spilled from the original amount.

First, we need to convert the mixed numbers to improper fractions:

8 2/3 = (8 x 3 + 2) / 3

= 26/3

3 2/3 = (3 x 3 + 2) / 3

= 11/3

Alex initially had 8 2/3 buckets of water. To subtract 3 2/3 buckets, we can perform the following calculation:

26/3 - 11/3 = 15/3

= 5

Therefore, Alex had 5 buckets of water left after spilling 3 2/3 buckets.

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The common region to both the graphs represents the solution set of the given inequalities.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Assume that you worked {x} hours Mowing lawns and {y} hours babysitting.

We can write the inequalities as -

x + y ≤ 15

3x + 5y ≥ 60

Refer to the graph attached. The common region to both the graphs represents the solution set.

Therefore, the common region to both the graphs represents the solution set of the given inequalities.

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The number of seconds where the football hit the ground is 2 seconds

From the question, we have the following parameters that can be used in our computation:

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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