the numbers 1447, 1005, and 1231 have something in common: each is a 4-digit number beginning with 1 that has exactly two identical digits. how many such numbers are there?

The system of equations to represent the

number of quarters, q, and the number of

dimes, d, in the jar is

d + q = 50

0.10d + 0.25q = 8

The number of quarters and dimes in the jar is 20 and 30 respectively.

Let

d + q = 50

0.10d + 0.25q = 8

From (1)

d = 50 - q

Substitute into equation (2)

0.10d + 0.25q = 8

0.10(50 - q) + 0.25q = 8

5 - 0.10q + 0.25q = 8

- 0.10q + 0.25q = 8 - 5

0.15q = 3

divide both sides by 0.15

q = 3/0.15

q = 20

Substitute q = 20 into (1)

d + q = 50

d + 20 = 50

d = 50 - 20

d = 30

In conclusion, the given situation can be solved using simultaneous equation where number of dimes and quarters are 30 and 20 respectively.

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Answer:

After one year, the enrollment will be 600 + 40 = 640. After two years, the enrollment will be 640 + 40 = 680. After three years, the enrollment will be 680 + 40 = 720. After four years, the enrollment will be 720 + 40 = 760. After five years, the enrollment will be 760 + 40 = 800.

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

Easy! Just take the first four points on the table. So, (0,6) and (1,10). Then plug those points into y₂ - y₁ over x₂ - x₁ and you'll get your final answer.

By conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).

So, we know that:

Jow eats 4/5 of the pizza.

Jane eats 1/4 of the pizza.

Times Joe eats more pizza than Jane:

4/5 - 1/4

4(4) - 5(1)/20

16 - 5/20

11/20

Therefore, by conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

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The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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The maximum number of miles you could go using the ride share service for $12 or less is 14 miles

The problem is solved by generating the equations

assuming x represents the number of extra miles

$5 is charged for the first 5 miles  and $0.50 per mile after that

This can be represented using the equation

total cost, y = $5 + $0.5x

$0.50 for the extra miles

Having $12 the number of miles is calculated as below

$12 = $5 + $0.5x

0.5x = 12 - 5

0.5x = 7

x = 7 / 0.5

x = 14 miles

The number of miles that can be paid for using $12 is 14 miles and this is the maximum number since the amount will result to lesser miles

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In a natural deduction problem, if your conclusion is a conditional statement that does not appear in any of the premises, then it is not a valid argument.

Natural deduction is a process/theory that we use to derive the conclusion of any argument from the premises by using the rules of inference. Now, as the definition itself has established, in natural deduction problems we solve arguments from the premise. But in the argument, we have been told that the conclusion isn't from the premises.

Any argument or conclusion becomes valid if the premise is valid as well. This means that if the conclusion is not in the premise, then it is not valid.

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Answer:

[tex]a_{n}[/tex] = 18 - 3n

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

12 - 15 = 9 - 12 = 6 - 9 = - 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 15 and d = - 3 , then

[tex]a_{n}[/tex] = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n

Answer: 2 1/4

Step-by-step explanation:  If you  add all those numbers like : 1/3+3/4+4/6+1/2 = and you will get 2 1/4

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

add them all and you'll get that answer

Pretty sure this is the answer:

C. slope intercept form

Answer:

  22√3 inches

Step-by-step explanation:

You want to know the length of the longer leg of a 30°-60°-90° triangle when the hypotenuse is 44 inches.

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

This means the longer leg is (√3)/2 times the length of the hypotenuse.

In the given triangle, the longer leg is ...

  (44 in)(√3)/2 = 22√3 in

The zeros of the given function are x= -1/6, x=1 and x= 4

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Divide the polynomial  [tex]6x^3-29x^2+19x+4[/tex]by the factor (x-4) using long division method to find other 2 factors:

x-4)    [tex]6x^3-29x^2+19x+4[/tex]                ( [tex]6x^2-5x-1[/tex]

         [tex]6x^3-24x^2[/tex]

______________________

                 [tex]-5x^2+19x+4[/tex]

                 [tex]-5x^2+20x[/tex]

__________________________

                             [tex]-x+4[/tex]

                             [tex]-x+4[/tex]

__________________________

                                  0

Factors of  [tex]6x^2-5x-1[/tex] are (6x+1)(x-1)

Find zeros by equating 3 factors to zero:

(6x+1)(x-1) ( x-4) = 0

=> (6x+1)=0,  (x-1) =0 , ( x-4)  =0

=> x= -1/6, x=1 and x= 4

Thus, the zeros of the given function are x= -1/6, x=1 and x= 4

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99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

Given, the mean of the final grades of the sample be 62.25 and the standard deviation be 4.5

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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It will take approx. 8.3 weeks to completely pay the remaining amount after the down payment.

Given, Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week.

So, he made a down payment of 10% of $600 i.e. $60

remaining amount to pay be,

600 - 60 = 540

Let he will take x weeks to pay the remaining amount.

Now, if he pay $65 per week

then, 65x = 540

x = 540/65

x = 8.31

So, it will take approx. 8 - 9 weeks to completely pay the remaining amount after the down payment.

Hence, it will take approx. 8.3 weeks to completely pay the remaining amount after the down payment.

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Answer:

9 weeks

Step by step explanation:

It’s right.

Answer:

$5.25 = 525 cents

525/7=75

each bottle is 75 cents or $0.75

yess it is true because of unbiased estimator

what is variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean when the data are more dispersed

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The value of the test statistic using correlation coefficient and sample size is equal to 8.776 ( round up to 3 decimal places.)

As given in the question,

Sample size 'n' = 26

Correlation coefficient 'r' = 0.87

Significance level 'α' = 0.025

a. Decision rule for the system of hypothesis are:

Null hypothesis :  H₀ : ρ ≤0

Alternative hypothesis:  H₁ : ρ > 0

Value of the test statistic 't'

= r√n-2 / √1 - r²

= (0.87√ 26 - 2) / √1- 0.87²

= 4.3 / √0.2431

= 4.3 / 0.49

= 8.776

Therefore, value of the test statistic using the given values is equal to 8.776.

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While hiking, Mr. Fury burns 808 calories in 8 hours. At this rate, how many calories does he burn in 60 minutes?

(1): 6,464 calories

(2): 110 calories

(3): 101 calories

(4): 250 calories

808/8 = 101 per hour

60 minutes = 1 hour so:

101 * 1 = 101

After solving the equation the value obtained for x will be equal to 5.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the given information in the question,

The equation of the line passing through the given coordinates will be,

m = (y2 - y1)/(x2 - x1)

The given points are (7, 1) and (4, 8)

Then,

(8 - 1)/(4 - 7) = -7/3

Slope of the line passing through the points (2, x) and (x, -2) then,

(-2 - x)/(x - 2)

Now, we have -7/3 = [tex]-\frac{2+x}{x-2}[/tex]

7x - 14 = 6 + 3x

4x = 20

x = 5

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The intersection of the parabola and the circle will be (6.865, 1.366) and (6.865, -1.366).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y² = x - 5                   ...1

x² + y² = 49              ...2

From equations 1 and 2, then we have

x² + x - 5 = 49

x² + x - 54 = 0

Use the formula method to calculate the value of 'x'. Then we have

x = [- 1 ± √(1² - 4 · 1 · -54)] / 2

x = [- 1 ± √(1 + 216)] / 2

x = (- 1 ± 14.7309) / 2

x = (- 1 - 14.7309) / 2, (- 1 + 14.7309) / 2

x = -7.865, 6.865

Then the value of the variable 'y' is given as,

y² = x - 5

y² = 6.865 - 5

y² = 1.865

y = ± 1.366

The intersection of the parabola and the circle will be (6.865, 1.366) and (6.865, -1.366). And the graph is given below.

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Answer:

no she will have 24 flowers left

Step-by-step explanation:

,Lm

The most appropriate statistical test/analysis for Sean who wants to test a hypothesis according to which the mean amount of sales dollars per employee will vary between 3 store locations would be the T-test.

A T-test is a statistical test which compares the means of two samples. It is used in hypothesis testing, with a null hypothesis which the difference in group means is zero and an alternate hypothesis which the difference in group means is different from zero.

The choice of T-test depends on whether we are studying one group or two groups, and whether we care about the direction of the difference in group means.

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Answer:

[tex]\frac{8}{b^{30} }[/tex]

Step-by-step explanation:

Start within the parentheses

1. Divide coefficients

6/3 = 2

2. Divide variables

When dividing exponents with the same base, in this case b, you subtract.

b^20 - b^30 = b^-10

3. Exponent outside parentheses

When there's an exponent on an exponent, you multiply the exponents.

(2b^-10)^3

8 b^-30

4. Simplify?

This step isn't necessary, but when you have a negative exponent on a variable, the variable can be put in the denominator with a positive exponent.

8b^-30 can become 8/b^30

Answer:

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

There are therefore 609638400 different ways to arrange eight men and five women in a line so that no two women are positioned adjacent to one another.

The basic counting principle is a method for keeping track of all the potential outcomes in a situation. It states that there are n*m ways to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that.

Here,

Number of ways men can stand,

=8!

=40320 ways

Number of ways women are standing,

=9P5

As shown in the image,

=15120 ways

For arranging both of them,

=40320*15120

=609638400 ways

So there is 609638400 ways of arranging eight men and five women to stand in a line so that no two women stand right next to each other.

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Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is much larger than one.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.

Firstly, it is important to clarify that when people say ‘‘The Sun Will Rise Tomorrow’ they are implying only how It only appears to an observer on earth that the sun rises and sets. In reality the sun neither rises nor sets it only appears to do so because the earth takes one day (24 hours to rotate on its axis). It has appeared to do this for as long as the earth has existed (approx. 4.5 billion years). Although for the purpose of this short reflection, the idiom will signify part of the day-night process -being able to see the sun rise from the perspective of a human on earth.

Although the chances might be extremely high, they are not certain. Even thought it may be very improbably unless an infinite amount of days in which the sun has risen has occurred, the probability will not exactly be one. Ludwig Wittgenstein, Austrian-British philosopher who worked primarily in logic and philosophy of mathematics, said, “It is an hypothesis that the sun will rise tomorrow: and this means that we do not know whether it will rise.” Although we may reasonably argue that the earth while rise tomorrow to a 99.99999999% chance, there still is that 0.000000001 which states that it would not in fact rise.

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The statistical techniques of analysis of variance (ANOVA) and analysis of covariance (ANCOVA) are used to test the validity of the hypothesis regarding the comparison of group mean values.

The term "parametric approach" refers to a statistical technique used to compare the means of two normally distributed continuous variables.

In contrast to ANOVA, which is used to compare the means among three or more groups, the Student's t test (also known as the T test) is used to compare the means between two groups.An ANOVA test with a significant P value identifies at least one pair in which the mean difference was statistically significant.

The post-hoc test (multiple comparisons) is utilized to determine whether pair(s) are significant. When at least one covariate (continuous variable) in an ANOVA test is altered to eliminate confounding variables from the outcome, the procedure is known as an ANCOVA. Because inferences about means are made by analyzing variance, the ANOVA test (F test) is referred to as "Analysis of Variance" rather than "Analysis of Means."

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We conclude that there is zero (0) fraction of coal left in the bag with Tom.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The numerator of a proper fraction is less than the denominator.

So, a fraction of coal left in the bag:

After 1 week the was 2/3 full. So, we have:

1 - 2/3 = 1/3

Next week, he used the remaining 1/3 coal. Now, we have:

1/3 - 1/3 = 0/0

Therefore, we conclude that there is zero (0) fraction of coal left in the bag with Tom.

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Correct question:
Tom bought a bag full of coal. After one week the bag was 2/3 full. During the next week, he used 1/3 of the remaining coal. What fraction was left in the bag?

After translating sentence in to inequality we get x > 7*y.

Let us suppose two variables are x and y.

First let's understand what inequality means?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal symbol ≠" to indicate that two values are not equal. But various inequalities are used to compare the values and determine whether they are less than or greater than.

Assume x as grams of saturated fat.

Assume y as grams of unsaturated fat.

Given as grams of saturated fat is more than seven times

grams of unsaturated fat.

[tex]x > 7*y[/tex].

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Answer:

0.83 laps per minute

Answer: 0.83 laps per minute.

Step-by-step explanation: