Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?

Step-by-step explanation:

to find the answer divide 89.99 by 8

so you got the answer

89.99 ÷ 8 = 11.24875

hope it help you

By conducting a statistical test, we can determine whether there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

H0: μ_departing = μ_arriving

Ha: μ_departing ≠ μ_arriving

To investigate whether individuals walk at different speeds depending on whether they are departing or arriving, we can set up the following null and alternative hypotheses:

Null Hypothesis (H0): The mean speed of people departing is equal to the mean speed of people arriving. In mathematical notation:

H0: μ_departing = μ_arriving

Alternative Hypothesis (Ha): The mean speed of people departing is not equal to the mean speed of people arriving. In mathematical notation:

Ha: μ_departing ≠ μ_arriving

In these hypotheses, μ_departing represents the population mean speed of individuals departing, and μ_arriving represents the population mean speed of individuals arriving.

The choice of significance level (α) will determine the threshold for rejecting the null hypothesis. Commonly used significance levels are 0.05 (5%) or 0.01 (1%).

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Answer: Try A; 13 units

Step-by-step explanation:

count the number of units

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

According to the given information ,there still 4 pockets to check .

Then

the possibility that the money will be in the next pocket :

\(=\frac{1}{4}\)

Answer: Answer above me is correct

The constant of proportionality is 4, and the relationship is given by s = 4h.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let h represent the number of hours and s represent the number of inches of snow on the ground. Since both variables are proportional, hence:

s = hk; where k is the constant of proportionality

Let us assume in the table, when h = 1, s = 4 hence:

s = hk

4 = k(1)

k = 3

s = 4h

The constant of proportionality is 4, and the relationship is given by s = 4h.

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Answer:

1.

a settled way of thinking or feeling about something

Answer:

Altitude or height is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. The exact definition and reference datum varies according to the context.

Step-by-step explanation:

a) The central 95% of all copper contents would be bounded by the values of 26.02 and 35.58.

b) The distribution of the sample mean copper content follows an approximately normal distribution with a mean of 30.8 and a standard error of \($\frac{2.45}{\sqrt{16}}\) =0.6125.

c) If we were to randomly sample 16 brake pads from this distribution, the bounding values for the central 95% of possible means would be (29.6, 32)

a) Since the copper content in sintered brake pads follows an approximately normal distribution with a mean of 30.8 and a standard deviation of 2.45, we can use the standard normal distribution to find the values that bound the central 95% of all copper contents. The 95% confidence interval corresponds to z=1.96 in the standard normal distribution. Thus, the values that bound the central 95% of all copper contents are given by:

30.8−1.96×2.45=26.02,30.8+1.96×2.45=35.58

b) The sample mean of copper content for a sample of 16 pads is also normally distributed with a mean of 30.8 and a standard deviation of \($\frac{2.45}{\sqrt{16}}=0.6125$\), which is called the standard error. The distribution of the sample mean is given by:

c) The bounding values for the central 95% of possible means can be found by using the formula:

where \($\sigma$\) is the population standard deviation, n is the sample size and \($z^*$\)is the critical value of the standard normal distribution that corresponds to a 95% confidence interval. Substituting the values, we get:

Therefore, the bounding values for the central 95% of possible means are given by:

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Answer:

1/3

Step-by-step explanation:

There are only six possible options and two that you want. You would get the fraction 2/6 which is equal to 1/3

Hope it helps! (:

Answer:

use a perimeter calculator if you want to for me using a calcultor is pretty uch illegal in my head and it diesnt help  e on bit and use one only if you need to thus I wouldn'tknow your answer and I can't use a calculator as I don't really need it sorry.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

revenue has to be greater than cost for a profit

revenue minus cost = profit

2x^2 – 20x + 70 - (–x^2 + 5x + 18) =

2x^2 – 20x + 70 + x^2 - 5x - 18 =

3x^2 – 25x + 52 ≤ 0

(x - 4) (3x - 13)  ≤ 0

x ≤ 4

x ≤ 13/3

since its multiple choice you can enter one of the answers where the x is to get the answer

if you don't know what the question is and are short on time this may help

again:

revenue has to be greater than cost for a profit

revenue minus cost = profit

cost is 2x^2 – 20x + 70

revenue is –x^2 + 5x + 18

cost is

2(4)^2 – 20(4) + 70 =

32-80+70 =

102-80 =

22

revenue is

–x^2 + 5x + 18

–(4)^2 + 5(4) + 18

-16+20+18

-16+38

22

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

cost is

2(5)^2 – 20(5) + 70 =

20

revenue is

–(5)^2 + 5(5) + 18

18

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

cost is

2(20)^2 – 20(20) + 70 =

470

revenue is

–(20)^2 + 5(20) + 18

-282

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

cost is

2(22)^2 – 20(22) + 70 =

598

revenue is

–(22)^2 + 5(22) + 18

-356

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

cost is

2(3)^2 – 20(3) + 70 =

28

revenue is

–(3)^2 + 5(3) + 18

24

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

cost is

2(2)^2 – 20(2) + 70 =

38

revenue is

–(2)^2 + 5(2) + 18

24

5/8 = 10/16

The missing value is: 10

Answer:

da_mn the struggle is real

Step-by-step explanation:

The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.

To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.

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Answer:

108 pens

Step-by-step explanation:

48/4=x/9

4x=432

x=108

Answer:

Since there are 12 pens packed in each box, because there are 48 packed in 4 boxes, there will be ( 12 times 9 ) 108 pens in 9 boxes.

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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To find the least common multiple (LCM) of two or more numbers using prime factorization, follow these steps:

Prime factorize each number into its prime factors.

Identify all the unique prime factors across all the numbers.

For each prime factor, take the highest exponent it appears with in any of the numbers.

Multiply all the prime factors raised to their respective highest exponents to find the LCM.

For example, let's find the LCM of 12 and 18 using prime factorization:

Prime factorization of 12: 2^2 × 3^1

Prime factorization of 18: 2^1 × 3^2

Unique prime factors: 2, 3

Highest exponents: 2 (for 2) and 2 (for 3)

LCM = 2^2 × 3^2 = 4 × 9 = 36

So, the LCM of 12 and 18 is 36.

Using prime factorization to find the LCM is efficient because it involves breaking down the numbers into their prime factors and then considering each prime factor's highest exponent. This method ensures that the LCM obtained is the smallest multiple shared by all the given numbers.

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Answer:

y=-\(\frac{1}{9}\)x+\(\frac{5}{3}\)

Step-by-step explanation:

Answer:

domain and range below

Step-by-step explanation:

domain: [-5,1) or 1>x≥-5

range: [-4,7) or -4≥x<7

these are due to the domain being the possible x-values and range being the possible y-values.

hope this helps! comment below my response if you need further clarification.

Evaluating Georgianna's claim using a hypothesis test.The claim is that the average child takes less than 5 years of piano lessons. Therefore, we use a one-tailed hypothesis test with a null hypothesis asH0: µ ≥ 5 versus the alternative hypothesis Ha: µ < 5.

Level of significance is not given, hence we can assume it to be 0.05. Calculating the test statistic as follows:$$t=\frac{\overline{x}-\mu }{s/\sqrt{n}}$$Substituting the given values in the above equation, we get$$t=\frac{4.6-5}{2.2/\sqrt{20}}$$So, t = -1.69, for a one-tailed test (left-tailed) and the degrees of freedom are n-1 = 19. Using the t-distribution table with α = 0.05 and 19 degrees of freedom, the critical value is -1.73, hence, -1.69 falls within the non-rejection region. Therefore, we cannot reject the null hypothesis. There is not enough evidence to support Georgianna's claim.b. Constructing a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in the context of the data.

The formula for confidence interval for a population mean is Interpretation: We can be 95% confident that the average number of years students in this city take piano lessons falls between 4.01 and 5.19 years.c. Explaining if the results from the hypothesis test and the confidence interval agreeYes, the results from the hypothesis test and the confidence interval agree because we cannot reject the null hypothesis in the hypothesis test. This means that the null hypothesis, H0: µ ≥ 5 is plausible. Further, the 95% confidence interval for the mean number of years students take piano lessons lies completely above the value of 5 years, which is Georgianna's claim. This is in line with the hypothesis test result. Thus, we can conclude that there is no sufficient evidence to support Georgianna's claim.

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Answer:

sont yell at me the answer is the secoiund one

Step-by-step explanation:

Factorizing the given expressions completely, we have:

a. (x - 3y)(x - 3y - 2); b. (1 - a)(1 + a)(1 + b²).

(a) To factorize the expression x² +9y² - 6xy - 2x + 6y, we can group the terms as follows:

(x² - 2xy + 9y²) - 2x + 6y

Now, we can factor the quadratic expression inside the parentheses using the formula for the difference of squares:

(x - 3y)² - 2x + 6y

Next, we can factor out the common factor of -2 from the last two terms:

(x - 3y)² - 2(x - 3y)

Finally, we can factor out the common factor of (x - 3y) to obtain the fully factorized expression:

(x - 3y)(x - 3y - 2)

Therefore, the expression x² +9y² - 6xy - 2x + 6y is equal to (x - 3y)(x - 3y - 2).

(b) To factorize the expression 1-a²b² + b²-a², we can rearrange the terms as follows:

(1 - a²) (1 + b²)

Now, we can factor the difference of squares expression (1 - a²) using the formula:

(1 - a)(1 + a) (1 + b²)

Therefore, the expression 1-a²b² + b²-a² is equal to (1 - a)(1 + a)(1 + b²).

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Answer:

a) t²- 4x + 4

b) 9y² - 4z

c) 10290v

Step-by-step explanation:

a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc

c) a × bx = abx

a) Any value outside of Q1 - 1.5(IQR) and Q3 + 1.5(IQR) can be considered a potential outlier.

b) This will give us a visual representation of the distribution of income among the full-time students.

c) It is important to analyze outliers carefully to ensure that they are not artificially skewing the results of our analysis.

(a) To check for outliers in the data set, we can use the box-and-whisker plot or the z-score method. However, since we do not have the exact data, we cannot use these methods. One way to identify potential outliers is to calculate the quartiles (Q1, Q2, and Q3) and the interquartile range (IQR).

(b) To draw a histogram of the data, we can use the frequency distribution table given in the question. The x-axis should represent the income ranges (e.g. $0-$100, $100-$200, etc.) and the y-axis should represent the frequency (i.e. the number of students who earned income within each range).

(c) If there are any outliers in the data set, we need to investigate them further to determine the reason for their unusual values. Possible reasons for outliers could be data entry errors, extreme values due to high- or low-income jobs, or unique situations such as unexpected windfalls or emergencies.

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Answer:

\(\vec v = 2\cdot \vec a = \langle -4,6 \rangle\)

Step-by-step explanation:

Let \(\vec a = \langle -2, 3 \rangle\), we need to determine \(\vec v = 2\cdot \vec a\), which can be found by applying the following property:

\(\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle\), \(\forall \,\alpha,x,y\in \mathbb{R}\) (1)

Then,

\(\vec v = 2\cdot \langle -2,3 \rangle\)

\(\vec v = \langle -4,6 \rangle\)

Answer:

1/9 ≅ 0.11

Step-by-step explanation: