On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to

mow 9 lawns?

To find the multiple regression model, you can use statistical software like R or Python with packages such as statsmodels, scikit-learn, or MATLAB.

The actual implementation may vary depending on the specific software or programming language you are using.

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By solving a little system of equations we will see that the percentage is 66.67%

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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Answer:

\(x = \frac{z}{y} \)

Step-by-step explanation:

according to the equation in the statement the answer is

=> x = z/y

Answer:

I think you have it

Step-by-step explanation:

It's not -4.44, and if it was -3.14 it would be closer to the -3 tick on the line. With the negative square root of 17 being 4.12 it's not that either. -11/3 is 3.6666667 or something along those lines so it would be closer to the -4 tick on the line, so I'm pretty sure you got it.

Answer:

t f dis say mane ion speak italian

Step-by-step explanation:

Using opposite sides or angles which must be congruent we can prove that a quadrilateral is a parallelogram.

There are several theorems that can be used to show that a quadrilateral is a parallelogram, depending on the given information. Here are a few:

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I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

The probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91, indicating that there is a high chance of having at least 3 employed people in the sample.

It can be solved using the binomial distribution formula.

Let X be the number of unemployed people in a sample of 8 from the city.

Then X follows a binomial distribution with parameters n = 8 and p = 0.16, since the probability of an individual being unemployed is 0.16.

The probability of fewer than 3 people being unemployed is the probability of X = 0, 1, or 2.

We can compute this probability as:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}

We can compute each term separately:

P(X = 0) = (8 choose 0) * 0.16⁰ * 0.84⁸ ≈ 0.3252

P(X = 1) = (8 choose 1) * 0.16¹* 0.84⁷ ≈ 0.3772

P(X = 2) = (8 choose 2) * 0.16² * 0.84⁶ ≈ 0.2035

Therefore,

P(X < 3) ≈ 0.3252 + 0.3772 + 0.2035 ≈ 0.906

Rounding to two decimal places, the probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91.

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Answer:

Domain: (-∞,∞), Range: [2,∞)

Answer:

The slope is 1/4!

Step-by-step explanation:

The formula to find slope is y2-y1 the x2-x1. Hope this helps!

Answer:

b

Step-by-step explanation:

the answer is b

in the problem you can put the expression into a calculator and you will get the answer 3

in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3

I HOPE I HELPED A BIT<3

The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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Answer:If 1200 square inch of material is available to make a box with a square base and no top

Step-by-step explanation:

Solution

Given the graphs below

For the graph of figure A and B:

Figure A and figure B are congruent.

Hence, yes they are congruent.

The transformation that map figure A onto figure B is to rotate figure A clockwise 90° about the origin.

For the graph of C and D:

Figure C and figure D are congruent.

Hence, yes they are congruent.

The transformation that map figure C onto figure D is reflect figure C over the y-axis

Answer:

b

Step-by-step explanation:

a. If the claim is true, the probability of a sample mean lifetime of 36.7 hours is virtually zero.

b. Yes, a sample mean lifetime of 36.7 hours would be unusually short if the claim is true.

c. If the sample mean lifetime of 36.7 hours is observed, the manufacturer's claim becomes less plausible.

d. If the claim is true, the probability of a sample mean lifetime of 39.8 hours is approximately 0.3446.

e. No, a sample mean lifetime of 39.8 hours would not be considered unusually short if the claim is true.

Let us discuss each section separately:

a. The probability of a sample mean lifetime of 36.7 hours, given that the claim is true, can be calculated using the Z-score formula. The Z-score represents the number of standard deviations a given value is from the population mean. In this case, we can calculate the Z-score as follows:

Z = (X - μ) / (σ / √n)

where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.

Plugging in the values:

Z = (36.7 - 40) / (5 / √100)

Z = -3.3 / 0.5

Z = -6.6

Using a standard normal distribution table or a calculator, we can find the probability corresponding to a Z-score of -6.6, which is virtually zero.

Therefore, P(X < 36.7) ≈ 0.

b. If the claim is true, a sample mean lifetime of 36.7 hours would be unusually short. The probability of observing a sample mean of 36.7 hours, given that the claim is true, is nearly zero. This suggests that obtaining such a low sample mean is highly unlikely if the manufacturer's claim of a population mean of 40 hours is accurate.

c. If the sample mean lifetime of the 100 batteries were 36.7 hours, it would cast doubt on the manufacturer's claim. The calculated probability of P(X < 36.7) ≈ 0 implies that the observed sample mean is extremely unlikely to occur if the manufacturer's claim is true. Thus, the claim becomes less plausible in light of the obtained sample mean.

d. Using the same formula as in part (a), we can calculate the probability of a sample mean lifetime of 39.8 hours, given that the claim is true:

Z = (39.8 - 40) / (5 / √100)

Z = -0.2 / 0.5

Z = -0.4

Using the standard normal distribution table or a calculator, we find the probability corresponding to a Z-score of -0.4 to be approximately 0.3446.

Therefore, P(X < 39.8) ≈ 0.3446.

e. If the claim is true, a sample mean lifetime of 39.8 hours would not be considered unusually short. The calculated probability of P(X < 39.8) ≈ 0.3446 indicates that obtaining a sample mean of 39.8 hours is reasonably likely if the manufacturer's claim of a population mean of 40 hours is accurate.

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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The simplified form of the expression \((-7a^3b^{-3})\) / (21ab) is \((-a^2) / (3b^3),\) removing negative exponents and canceling out common factors.

To simplify the given expression, let's break it down step by step.

The expression is:

\((-7a^3b^{-3}) / (21ab)\)

First, we can simplify the numerator by applying the exponent rules.

The negative exponent in the numerator can be rewritten as a positive exponent in the denominator:

\((-7a^3) / (21ab^3)\)

Next, we can simplify the fraction by canceling out common factors in the numerator and denominator. In this case, we can cancel out the common factor of 7:

\((-a^3) / (3ab^3)\)

Now, we can simplify the remaining terms by canceling out the common factor of 'a':

\((-a^2) / (3b^3)\)

Finally, we have simplified the expression to \((-a^2) / (3b^3)\).

In this simplified form, the expression no longer contains negative exponents or common factors in the numerator and denominator.

To summarize, the simplified form of the expression \((-7a^3b^{-3}) / (21ab)\) is \((-a^2) / (3b^3).\)

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Answer:

(C)As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

Step-by-step explanation:

Given the values in the table:

\(\left|\begin{array}{c|c}x&f(x)\\--&--\\-4&18\\-3&9\\-2&6\\-1&3\\0&0\\1&-3\\2&-6\\3&-9\\4&-18\end{array}\right|\)

We observe from the table that:

As x increases, the value of f(x) decreases

As x decrease, the value of f(x) increases

Therefore: that which best predicts the end behavior of the graph of f(x) is:

(C)As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

The height of the soccer ball when it was hit is 3 feet. It takes approximately 0.66 seconds for the soccer ball to reach its maximum height. The maximum height is approximately 10.89 feet.

To solve the given problem, we'll use the provided quadratic function h(t) = -16t^2 + 21t + 3, which represents the height of the soccer ball at time t.

(a) To find the height of the soccer ball when it was hit, we need to evaluate h(0) since t represents the time in seconds. Substituting t = 0 into the function, we get:

h(0) = -16(0)^2 + 21(0) + 3 = 3

Therefore, the height of the soccer ball when it was hit is 3 feet.

(b) To determine the time it takes for the soccer ball to reach its maximum height, we need to find the vertex of the parabolic function, which represents the maximum point. The time at the vertex can be found using the formula:

t = -b / (2a)

For the function h(t) = -16t^2 + 21t + 3, a = -16 and b = 21.

t = -21 / (2 * -16) ≈ 0.66 seconds (rounded to 3 decimal places).

(c) The maximum height can be found by substituting the time from part (b) back into the function. Evaluating h(0.66), we get:

h(0.66) = -16(0.66)^2 + 21(0.66) + 3 ≈ 10.89 feet (rounded to 3 decimal places).

Therefore, the maximum height of the soccer ball is approximately 10.89 feet.

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When two angles add to 90°, we say they "Complement" each other.

So if two angles are complementary,

then the sum of their measures is 90 degrees.

For example, if we had a 62 degree angle and an 18 degree angle,

these two angles are complementary because they add to 90 degrees.

The smallest value of |S| that guarantees the existence of two distinct subsets of S whose elements sum to the same value is 289.

Let S be a set of 1-digit or 2-digit numbers. We want to find the smallest value of |S|, the cardinality of S, such that there exist two distinct subsets of S whose elements sum to the same value.

Consider the largest possible sum of two elements in S. If the largest possible sum is less than or equal to 100, then every subset of S must have a sum less than or equal to 200, since at most two elements can be selected from S to form a sum greater than 100. Therefore, if |S| > 200, then by the Pigeonhole Principle, there must be two distinct subsets of S whose elements sum to the same value.

On the other hand, if the largest possible sum of two elements in S is greater than 100, then we can consider the set S' obtained by removing all elements of S greater than 100. Since S' consists of only 1-digit and 2-digit numbers, the largest possible sum of two elements in S' is 99 + 99 = 198. Therefore, if |S'| > 198, then by the Pigeonhole Principle, there must be two distinct subsets of S' whose elements sum to the same value.

But note that |S'| is at most the number of 1-digit and 2-digit numbers, which is 90 (10 1-digit numbers and 90 2-digit numbers). Therefore, if |S| > 90 + 198 = 288, then by the Pigeonhole Principle, there must be two distinct subsets of S whose elements sum to the same value.

Thus, the smallest value of |S| that guarantees the existence of two distinct subsets of S whose elements sum to the same value is 289.

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Answer:

See below for answers

Step-by-step explanation:

1st blank: 2*2*2*2*2*2*2

2nd blank: 2

3rd blank: 7*7

4th blank: 7

5th blank: no

6th blank: doesn't equal

Answer:

2.3

Step-by-step explanation:

3/10= 30/100=.3

Add the whole number and you get 2.3

Hope this helps! :)

The value of the fraction 2 3/10 in decimal number is D = 2.3

The decimal numbers can only be expressed as fractions since they contain a fractional component. The accepted method for representing both integer and non-integer numbers is the decimal numeral system. There are 10 single-digit numbers in the decimal system:

0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After the number 9, comes 10, then comes 11, then 12, and so on. Each time the digit to the right exceeds 9, the number on the left is increased by 1.

Given data ,

Let the mixed number be represented as n = 2 3/10

Now , let the decimal number be represented as D

And , the value of n as fraction is

Multiply the whole number 2 by 10 and add the numerator 3

So , the fraction is = 23/10

Now , the decimal number D = 2.3

Hence , the decimal number is D = 2.3

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Answer:

92F

Step-by-step explanation:

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

= 90 - (-2)

= 90 + 2

= 92F

Answer:

C

Step-by-step explanation:

The zeros are the values of x on the x- axis where the graph crosses.

the graph crosses the x- axis at 0 and 5

then the zeros are x = 0 and x = 5 → C

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (0, - 7 )

m = \(\frac{-7-5}{0-4}\) = \(\frac{-12}{-4}\) = 3

rise over run

you can also use the y2-y1/x2-x1 but these numbers where small enough where graphing can help visually