a truck driver drove 119 miles in 3 1/4 hours. how many miles did he drive per hour

Answer:∠KJG and ∠FGJ

Step-by-step explanation:

Alternate interior angles are diagonal from each other and are the same value.

Alternate Interior Angles. ... Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal

here the right answer is option "c" that is

\(angle \: kjg \: and \: angle \: fgj\)

hope it helps you

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer:

see explanation

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = 55 , then

s² = 55 ( take the square root of both sides )

s = \(\sqrt{55}\) ≈ 7 in ( to the nearest whole inch )

s ≈ 7.4 in ( to the nearest tenth of an inch )

Answer:

Part A = 7 inches, Part B = 7.4 inches

Step-by-step explanation:

To find one side of a square frame (k x k) you need to find the square root of 55, because this will give you a number that when multiplied by itself, will give you 55. Since it's a square frame the number is the same on the length and the width, so square root works perfectly. Use a calculator to find the square root of 55, the answer is 7.4161984871, in Part A it asks for the whole inch which is no decimals but only whole numbers, so the answer is 7. In Part B it asks to the nearest tenth of an inch, we don't have to round since the hundredth is only 0.01, and so the answer is 7.4.

The answer is c. because all of the other answers arne tpossible due to where they graphed it

Answer: 47.5

Step-by-step explanation:

16. $2 per 4 lbs --> 200 cents per 4 lbs

4x = 200

x = 50 cents per lbs

17. 3 apples per pound, each pound is 50 cents

3x = 50

x = 17 cents per apple

18. $1.98 per 12 eggs --> 198 cents per 12 eggs

12x = 198

x = 17

19. $1.98 per dozen eggs, $11.88 total

1.98x = 11.88

x = 6 dozens

20. $69.24 per four pairs of shoes

4x = 69.24

x = $17.31

21. One shoe costs $17.31, bought one pair

0.5x = 17.31

x = $34.62

22.

6x = 72

x = 72/6

x = 12

23.

4x = 200

x = 200/4

x = 50

24.

3x = 50

x = 50/3     approximately 16.67

25.

12x = 25.80

x = 25.80/12

x = 2.15

26.

x/2 = 17.31

x = 17.31*2

x = 34.62

27.

4x = 69.24

x = 69.24/4

x = 17.31

28.

12x = 198

x = 198/12

x = 16.5

29.

1.98x = 11.88

x = 11.88/1.98

x = 6

30.

x/4 = 2

x = 2*4

x = 8

31.

Problem 16 --> equation 23

Problem 17 --> equation 24

Problem 18 --> equation 28

Problem 19 --> equation 29

Problem 20 --> equation 27

Problem 21 --> equation 26

The probability P(−1.60 ≤ Z ≤ 0) is 0.44500.

The probability P(−1.60 ≤ Z ≤ 0) can be found using a standard normal distribution table or calculator.

Using a standard normal distribution table, we can look up the area under the curve between z = −1.60 and z = 0, which is 0.44500. Therefore, the answer is 0.44500.

Alternatively, we can use a calculator that can calculate probabilities for a standard normal distribution. In this case, we would enter the following: P(−1.60 ≤ Z ≤ 0) = normdist(0, 1, 0, TRUE) − normdist(-1.60, 1, 0, TRUE), which also gives us 0.44500 as the answer.

Therefore, the probability P(−1.60 ≤ Z ≤ 0) is 0.44500.
To find the probability P(-1.60 ≤ Z ≤ 0), we'll use the standard normal distribution table or Z-table.

Step 1: Look up the Z-scores in the standard normal distribution table.
For Z = -1.60, the table value is 0.0548, which represents the probability P(Z ≤ -1.60).
For Z = 0, the table value is 0.5000, which represents the probability P(Z ≤ 0).

Step 2: Calculate the probability P(-1.60 ≤ Z ≤ 0).
Subtract the probability of Z ≤ -1.60 from the probability of Z ≤ 0.
P(-1.60 ≤ Z ≤ 0) = P(Z ≤ 0) - P(Z ≤ -1.60)
P(-1.60 ≤ Z ≤ 0) = 0.5000 - 0.0548

Step 3: Solve for the probability.
P(-1.60 ≤ Z ≤ 0) = 0.4452

Therefore, the probability P(-1.60 ≤ Z ≤ 0) is approximately 0.4450.

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The plot will show the initial point represented by a red dot (-4-7i) and the result represented by a blue dot (-27+21i) on the complex plane.

To visualize the multiplication of (-4-7i)(2-5i), we can plot the initial point and the result on the complex plane. Let's go through the steps to calculate and plot it.

First, let's calculate the multiplication:

(-4-7i)(2-5i)

Using the FOIL method, we can expand this expression:

(-4)(2) + (-4)(-5i) + (-7i)(2) + (-7i)(-5i)

Simplifying further:

(-8 + 20i - 14i - 35i²)

Since \(i² = -1\), we can substitute it:

(-8 + 20i - 14i - 35(-1))

(-8 + 20i - 14i + 35)

(-8 + 21i + 35)

(-27 + 21i)

The result of the multiplication is (-27 + 21i).

Now, let's plot the initial point, which is (-4-7i), and the result, (-27 + 21i), on the complex plane:

```python

import matplotlib.pyplot as plt

# Initial point (-4-7i)

initial_point = complex(-4, -7)

# Result (-27+21i)

result = complex(-27, 21)

# Plotting

plt.plot(initial_point.real, initial_point.imag, 'ro', label='Initial Point (-4-7i)')

plt.plot(result.real, result.imag, 'bo', label='Result (-27+21i)')

plt.axhline(0, color='black', linewidth=0.5)

plt.axvline(0, color='black', linewidth=0.5)

plt.xlabel('Real')

plt.ylabel('Imaginary')

plt.title('Complex Multiplication')

plt.legend()

plt.grid(True)

plt.show()

The plot will show the initial point represented by a red dot (-4-7i) and the result represented by a blue dot (-27+21i) on the complex plane.

Note: If you run the code, make sure you have the matplotlib library installed.

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Answer: The unit rate is 59.5 mph.

let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

Since the given values for np and nq are not suitable for the normal approximation (np < 5 or nq < 5), we cannot estimate P(fewer than 5) using the normal approximation.

In summary, we can use the normal approximation to estimate P(fewer than 5) when np > 5 and nq > 5.

To estimate P(fewer than 5), we can use the normal approximation to the binomial distribution by considering the mean (μ) and standard deviation (σ) of the binomial distribution. For a binomial distribution with parameters n and p, the mean is given by μ = np and the standard deviation is given by σ = √(npq).

In this case, n = 13 and p = 0.6, so np = 7.8 and nq = 5.2. Since both np and nq are greater than 5, we can proceed with the normal approximation.

To estimate P(fewer than 5), we can use the cumulative distribution function (CDF) of the normal distribution with parameters μ = np and σ = √(npq). We calculate P(X < 5) using the normal distribution and round the result to four decimal places:

P(fewer than 5) = P(X < 5) ≈ Φ((5 - μ) / σ)

Calculating the z-score as (5 - μ) / σ and using the standard normal distribution table or a calculator, we can find the corresponding probability value. However, since the given values for np and nq are not suitable for the normal approximation (np < 5 or nq < 5), we cannot estimate P(fewer than 5) using the normal approximation.

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If he makes a deposit of of $830 dollars in a currency 3x the dollar, the amount, $830 will be equivalent to:

In that case, he deposited 276.67 units of the unknown currency in cheque

and 276 units in currency since coins are not an option.

Answer:

Step-by-step explanation:

the x is 40

Answer:

$16.125 but i don't know if you have to round

Step-by-step explanation:

The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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The height of 13 DVD cases is 273 mm.

Given that, the height of 6 DVD cases is 126 mm.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Let x be the height of 13 DVD cases.

So, 6 : 126 :: 13 : x

⇒ 6x =126×13

⇒ x= 21×13

⇒ x= 273 mm

Hence, the height of 13 DVD cases is 273 mm.

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With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.

To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.

First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.

Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.

Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.

To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.

As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.

Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.

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(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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The optimization problem for individual A is to maximize their objective function: max {7A(GA1) + 12u(A,G2)}. The Lagrangean for individual A can be written as: L(A) = 7A(GA1) + 12u(A,G2) + λ1(IA1 - DA1) + λ2(IA2 - DA2) + μ1(IA1 - pIA2) + μ2(IA2 - IA1 - IA2).

To solve for individual A's optimality conditions, we take the partial derivatives of the Lagrangean with respect to the decision variables: ∂L(A)/∂GA1 = 0, ∂L(A)/∂GA2 = 0, ∂L(A)/∂IA1 = 0, and ∂L(A)/∂IA2 = 0.

An equilibrium is defined as a set of allocations (GA1, GA2) and prices (p) such that all individuals optimize their objective functions and markets clear, i.e., the total net expenditure on purchasing contracts is zero. The equilibrium conditions that characterize the equilibrium allocations in the market for contracts are: ∑AIA1 + ∑BIB1 = 0, ∑AIA2 + ∑BIB2 = 0, and IA1 + IB1 = IA2 + IB2.

Given the utility function u(e) = ln(c), we can solve for the equilibrium price and allocations by setting the optimality conditions equal to zero and solving the resulting system of equations.

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Answer:

slope intercept form is mx+b=y where the slope is 2 because 6/3=2 so therefore we need to find b which you can subsitute the values to get 2(2)+b=(0) so b=-4 therefore the slope intercept is 2x-4=y

to check my answer we used (2,0) so we use (5,6) to get 2*5-4=6 which is a true statement

give me brainliest :)

Step-by-step explanation:

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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Answer:

3 adult tickets and 4 child tickets were bought.

Answer:

4 adult tickets and 3 child tickets

Step-by-step explanation:

So doing 234/7 gives you 33.428... which means its not all just children or adults. (I know that's common sense but it's best to do this anyway to further justify your answer)

The total cost for all 7 people shows that there must be an even amount of adult tickets to end up with a whole number so either 2, 4, or 6 adults.

2 adults = $75

4 adults = $150

6 adults = $225

Now we can use these possibilities to figure out if the left over child tickets added to the adult tickets would equal $234. (quick note: I am using # to show that it doesn't equal $234)

If 2 adults = $75, 5 children = $140, $140+$75 = $215 # $234

If 4 adults = £150, 3 children = $84, $84+$150 = $234

Now because we have already figured out that it would be 4 adult tickets and 3 child tickets, we wouldn't need to figure out 6 adult tickets and 1 child ticket, but, again, this would justify your answer and help to secure your marks.

If 6 adults = $225, 1 child = 28, $28+$225 = $253 # $234

I hope this answer helped you out and if you have any questions I'd be happy to help :)

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

Answer:

0 , 4 , 8

Step-by-step explanation:

Multiples of 4 = 12,16,18,20, 24, 28.............100, 104, 108, 112, 116,120, 124, 128

Numbers that have even no. in tens = 20, 24 , 28 ... 100, 104, 108, 120 , 124, 128

As evident, all these numbers (including those > 100) have 0, 4, 8 as one's place numbers.

a. If 1% of the shells are actually defective and we assume Independence, the probability of 0 defective shells in the sample is 82%,

b. if 1% of the shells are actually defective and we assume independence, the probability of 1 defective shell in the sample is 16% and

c. If 1% of the shells are actually defective and we assume Independence, the probability of more than 1 defective shell in the sample is 1.58%.

Given batch = 350 shells

sample = 20 shells

Given 1%10 f shells are defective = 0.01

That is 99% are non detective = 0.99

Using binomial theorem,

1. P(zero defective shells) = 20c0 (0.01)^0(0.99)^20

= 0.82

= 82%

2. P(One defective shells) = 20c1(0.01)(0.99)^19

= 0.16

= 16%

3. P(two defective shells) = 20c2(0.01)^2(0.99)^18

= 0.0158

= 1.58%

Hence the a. If 1% of the shells are actually defective and we assume Independence, the probability of 0 defective shells in the sample is 82%, b. if 1% of the shells are actually defective and we assume independence, the probability of 1 defective shell in the sample is 16% and c. If 1% of the shells are actually defective and we assume Independence, the probability of more than 1 defective shell in the sample is 1.58%.

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Answer: 2(27+16)

Step-by-step explanation:

Five to the seven thirds power is the correct answer. This expression can be rewritten as the cube root of five to the seventh power, which is equal to five to the seven-thirds power.

When a term is multiplied by itself several times, it is said to have "power" or exponents in mathematics. An exponent, which is expressed as a little number above and to the right of the base number, serves as a representation for this. For instance, the number 2 to the power of 3 (23) is represented as 222 and equals 8.Power can alternatively be written as xy, in which x is the base number and y is the exponent. The equation 23 is represented as 23 in this notation, and it still equals 8.Power, in addition to representing repeated multiplication, may also be used to indicate a number's root.

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