Write a multiplication expression using the following clues: one factor is a two digit number between 1 and 10 one factor is a two digit number between 1 and 10 (different from the first) the product is greater than 30, but less than 35

Answers

Answer 1

To meet the given criteria, we need to choose two factors.The two-digit numbers that fit this criteria are 4 and 9.The multiplication expression that satisfies the given clues is 4 x 9 = 36.    

   

To meet the given criteria, we need to choose two factors, each being a two-digit number between 1 and 10 (but different from each other). The two-digit numbers that fit this criteria are 4 and 9.

When we multiply 4 by 9, the product is 36. This product falls within the range of being greater than 30 but less than 35, as stated in the clues.

Therefore, the multiplication expression that satisfies the given conditions is 4 x 9 = 36.

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Related Questions

Please evaluate this equation, and explain how you got the answer.

Please evaluate this equation, and explain how you got the answer.

Answers

Answer:

3 = f

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

Distribute within Parenthesis

18 - 3f - 4 = 3f - 4

Combine like terms

14 - 3f = 3f - 4

Add 3f on both sides of the equation

14 = 6f - 4

Add 4 on both sides of the equation

18 = 6f

Divide by 6 on both sides of the equaiton to get your answer of

3 = f

Hope this helps :)

200 = 1000 - n/4. What is the value of n? Show working out, please.

Answers

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

f(x) = 9x2 - 4

Find the zeros of the function

Answers

Answer:

I believe that the answer is 14.

Step-by-step explanation:

hope it helped

solve: 3x^2+16x+5=0
I did it but apparently its wrong so, please help it would literally probably help me finish high school.

Answers

Answer:

(3x+1)(x+5)

Step-by-step explanation:

Sorry for my handwriting lol hope this makes sense

solve: 3x^2+16x+5=0I did it but apparently its wrong so, please help it would literally probably help

A company that produces computers recently tested the battery in its latest laptop in six separate trials. The battery lasted 8.23,7.89,8.14,8.25,8.30, and 7.95 hours before burning out in each of the tests. Assuming the battery duration is normally distributed, construct a 95% confidence interval for the mean battery life in the new model. Multiple Choice [7.9490, 8.3044] [7.9575, 8.2959] [7.9873, 8.2661] [7.9912, 8.2622]

Answers

confidence interval for the mean battery life in the new model is [7.9489, 8.3045].

What is confidence interval ?

A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.

Main body:

Formula for confidence interval is =

CI = x- bar ± z*s/√n            where,

CI = confidence interval

x- bar = sample mean

z = confidence level value

{s} = sample standard deviation

{n} = sample size  

given ;

n = 6

mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6

         =  8.127

value of z for 95% C.I. = 1.96

C.I. = 8.127 ± 1.96 * 0.22/√6

C.I. = 8.127 ± 0.1781

C.I. =[7.9490, 8.3044]

Hence correct option is A.

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Choose the correct statement below.

A. Every absolute value equation has two solutions.

B. It is possible for an absolute value equation to have no solution.

C. The solution to an absolute value equation is always positive.

D. The solution to an absolute value equation must always be greater than or equal to zero.

Answers

The correct statement is that the solution to an absolute value equation must always be greater than or equal to zero. The absolute value of a number is its distance from zero on the number line. Thus, the absolute value of any number is always greater than or equal to zero.

The correct option is-C

The absolute value of a negative number is its opposite, which is always positive. The absolute value of a positive number is the same number.To solve an absolute value equation, you must isolate the absolute value first, then write two equations using the positive and negative versions of the absolute value expression. You can then solve for the variable in each equation to obtain two solutions. Therefore, not every absolute value equation has two solutions. It's possible for an absolute value equation to have one solution as well as no solution.

Additionally, the solutions to an absolute value equation can be negative as well. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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Constuct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. q→ (pv¬q)

Answers

The proposition is a contingency because it evaluates to both true and false in different cases.

The truth table for the proposition q → (p v ¬q) is as follows:

| p | q | ¬q | p v ¬q | q → (p v ¬q) |

|---|---|----|-------|-------------|

| T | T |  F |   T   |      T      |

| T | F |  T |   T   |      T      |

| F | T |  F |   F   |      F      |

| F | F |  T |   T   |      T      |

The proposition is a contingency because it evaluates to both true and false in different cases.

Explanation: The truth table shows the possible combinations of truth values for the propositions p and q. The column ¬q represents the negation of q, and the column p v ¬q represents the disjunction (logical OR) between p and ¬q.

To determine the truth value of the entire proposition q → (p v ¬q), we need to apply the conditional operator (→), which states that if the antecedent (q) is true and the consequent (p v ¬q) is false, the proposition evaluates to false; otherwise, it evaluates to true.

In the first row of the truth table, both q and (p v ¬q) are true, so the proposition q → (p v ¬q) is true. Similarly, in the second and fourth rows, the proposition is also true.

However, in the third row, q is true, but (p v ¬q) is false. According to the definition of the conditional operator, when the antecedent is true and the consequent is false, the proposition evaluates to false. Therefore, in the third row, q → (p v ¬q) is false.

Since the proposition evaluates to both true and false in different cases, it is classified as a contingency.


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Find the volume of a rectangular pyramid with the following dimensions.
length = 9 in ; width = 7 in ; height = 5 in
A 315
B 105
C 0157.5
D 472.5

Answers

Answer:

B

Step-by-step explanation:

like my answer please gimme the brain

Can someone please help me. I think the answer is Y= -14 but I’m not sure

Can someone please help me. I think the answer is Y= -14 but Im not sure

Answers

Answer:

yep your correct!

Step-by-step explanation:

i did 5(-2) -4

which is -10 -4

and that will equal -14!

hope this helps u!

Answer:

-14

Step-by-step explanation:

because if x is -2 we have y=5.(-2)-4 and that's y=-10-4 and that's y=-14

Which unit abbreviation is a measurement of force?
A.
m/s
B.
m/s2
C.
N
D.
N/s Could anyone help?

Answers

Answer: C. N

N stands for Newtons

In terms of SI units, 1 newton = 1 kg m/s^2

It's based off the equation F = ma, which is Newton's second law.

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

Extra info:

Choice A is velocityChoice B is accelerationChoice D is some unit I don't really recognize, so I'm not sure if its nonsense or it may have some use. Though I'm sure that N/s isn't a measurement of force.

Answer:

C.  N

Step-by-step explanation:

1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.01, test the fast food outlet's claim.

Answers

Answer:

There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes

Step-by-step explanation:

H0 : μ = 3.8

H1 : μ < 3.8

Test statistic :

(x - μ) ÷ s/sqrt(n)

(3.7 - 3.8) ÷ 0.6/sqrt(60)

Test statistic = - 1.29

The Pvalue from test statistic :

P(z < -1.29) = 0.0985

Reject Null if

Pvalue < α

0.0986 > 0.01 ; Hence, we fail to reject the null ;

There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes

The standard deviation of a sampling distribution of sample means is also called the _____.

a. sampling deviation.

b. distribution error.

c. sampling error.

d. standard error

Answers

The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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The table below shows a proportional relationship. True or False?

Answers

According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.

Second, the rule is different for each row.

2x5=10

4x4=16

6x3.6=22

A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.

The table below shows a proportional relationship. True or False?

Find common ratio

0+4(1)=42+4(2)=104+4(3)=166+4(4)=22

Yes they are proportional

The table below shows a proportional relationship. True or False?

The circumference of a circle B is 80% of the circumference of circle A
find the ratio of the area of circle A to the area of circle B. giving your answer in the form 100:n

Answers

Answer:

100:64

Step-by-step explanation:

i don't know how i got it LOL

The ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or \(\dfrac{a}{b}\)

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

\(a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3\)

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Let we suppose that:

The radius of circle A = C unitsThe radius of circle B = s units.

Then we get:

Circumference of circle A = \(2\pi r \: \rm units\)Circumference of circle B = \(2\pi s \: \rm units\)

As per the given information:

The circumference of a circle B is 80% of the circumference of circle A, or:

\(2\pi s \: \rm units\) = 80% of \(2\pi r \: \rm units\)

or:

\(2\pi s = \dfrac{2\pi r}{100} \times 80\\\\s = 0.8r \: \rm units\)

Also, we have:

Area of circle A = \(\pi r^2 \: \rm units\)Area of circle B = \(\pi s^2 \: \rm units\)

The rato of the area of the circle A to the area of the circle B is:

\(Area(A): Area(B) = \dfrac{\pi r^2}{\pi s^2} = \left( \dfrac{r}{s}\right)^2\)

since we've got \(s= 0.8r\), therefore,

\(Area(A): Area(B)= \left( \dfrac{r}{s}\right)^2 = \left(\dfrac{r}{0.8r}\right)^2 = \dfrac{100}{64} \\\\Area(A): Area(B)=\dfrac{100}{64} = 100:64\)

Thus, the ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

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Jenna says that the tangent of the angle 0 in standard position with a terminal side that passes through the point (-3,1) -3. Explain whether Jenna is correct and, if not find the correct value of tanO Jenna is incorrect because tane Y The correct value of tan is -1. 3' I O Jenna is incorrect because tan The correct value of tan 0 is 3. O Jenna is incorrect because tan The correct value of tan is O Jenna is correct because tan 8 I y

Answers

We are given a line segment in which the endpoint has coordinates (-3,1), and we are asked to find the tangent of the angle form by this line segment. If we graph the line segment we can see the following:

We have a triangle which an opposite side of 1 and an adjacent side of -3, and the definition of the tangent is the following:

\(\tan x=\frac{opposite\text{ }}{adjacent}\text{ }\)

Therefore, if we replace the values, we get;

\(\tan x=\frac{1}{-3}\)

therefore, the value of the tangent is -1/3 and not 3. The answer is:

Jenna is incorrect because the correct value of tan is -1/3

Jenna says that the tangent of the angle 0 in standard position with a terminal side that passes through

What’s the figure name

Whats the figure name

Answers

Answer:

Line GH or Line HG

Step-by-step explanation:

Hope it help !!

Answer:

line segment

Step-by-step explanation:

a point to a point which makes a straight line is called a line segment

Which equation gives the number of 1/4 centimetre that are in 7/8 centimetres

Answers

Answer:

2/8

Step-by-step explanation:

If a random variable X can take only 3 positive values 1,2 and 3 with probabilities P(X=1)=2c,P(X=2)=3c and P(X=3)=5c. What is the value of the constant c?

Answers

If a random variable X can take only 3 positive values 1,2 and 3 with probabilities P(X=1)=2c,P(X=2)=3c and P(X=3)=5c. The value of the constant c is 1/30.

The sum of probabilities for all possible outcomes of a random variable must be equal to 1. In this case, the probabilities are given as P(X=1) = 2c, P(X=2) = 3c, and P(X=3) = 5c.

To find the value of c, we can set up the equation:

P(X=1) + P(X=2) + P(X=3) = 2c + 3c + 5c = 1

Combining like terms, we have:

10c = 1

Dividing both sides of the equation by 10, we find:

c = 1/10

Therefore, the value of the constant c is 1/10.

Alternatively, we can also see that the sum of the probabilities must equal 1, and since there are only three possible outcomes, we can express it as:

2c + 3c + 5c = 1

10c = 1

c = 1/10

Hence, the value of the constant c is 1/10 or equivalently, 1/30.

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What is the minimum temperature?
STEM AND LEAF
I will appreciate your help cause my grade is going down :(

What is the minimum temperature?STEM AND LEAF I will appreciate your help cause my grade is going down

Answers

7) The minimum temperature is 31⁰F. So, the answer is option B.

What is stem and leaf plot?

The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.

Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.

7) The minimum value in the stem is 3

And the minimum value in the leaf is 1

So, according to the given key 4|3=43°F

Here | denotes the key symbol.

So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1

Therefore, it must be 3|1

Hence, from the given key

This can be written as 31⁰F

Therefore, the answer is option B.

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as part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. participants have an equal chance of receiving each type of coupon. if 900 people participate, how many would be expected to receive a coupon for sleigh rides

Answers

It is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

To determine the number of participants expected to receive a coupon for sleigh rides, we need to divide the total number of participants (900) by the number of coupon options (3) since each option has an equal chance of being received.

The expected number of participants receiving a coupon for sleigh rides can be calculated as follows:

Total participants / Number of coupon options = Expected number of participants receiving a sleigh ride coupon

900 participants / 3 coupon options = 300 participants.

Therefore, it is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

It's important to note that this calculation assumes an equal chance of receiving each type of coupon and does not consider any specific preferences or biases that participants may have.

The calculation is based on the assumption of a random distribution of coupons among the participants.

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solve the following simultaneous equations
y=x^2
y= x+6

Answers

The solution of the simultaneous equations are x = 2, 3 and y = 3,9.

What are simultaneous equation?

In mathematics; a set of simultaneous equations, also known as a system of equations or an equation system, it is a finite set of equations for which common solutions are sought.

WE have given simultaneous equations as;

y = x^2    ...(i)

y = x + 6  .....(ii)

Now Equating (i) and (ii) we get,

x^2 = x + 6

or, x^2 - x - 6 = 0

Then Solving we get;

x^2 - 3x - 2x - 6 = 0

x(x - 3) -2(x - 3) = 0

(x - 2)(x - 3) = 0

So, x = 2, 3

Now Putting x = 2, 3 in equation (i) we get;

y = 2^2

y = 4

and,

y = 3^2

y = 9

Thus, y = 3,9

Hence the solution of the simultaneous equations are x = 2, 3 and y = 3,9.

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the confidence interval formula for p _____ include(s) the sample proportion.

Answers

Yes, the confidence interval formula for p includes the sample proportion. In statistical inference, a confidence interval is a range of values that is used to estimate an unknown population parameter.

In the case of a proportion, such as the proportion of individuals in a population who have a certain characteristic, the confidence interval formula involves using the sample proportion as an estimate of the population proportion.

The formula for a confidence interval for a proportion is given by:

p ± z*sqrt((p(1-p))/n)

where p is the sample proportion, n is the sample size, and z is the z-score corresponding to the desired level of confidence. The sample proportion is used as an estimate of the population proportion, and the formula uses the sample size and the level of confidence to calculate a range of values within which the true population proportion is likely to fall.

It is important to note that the sample proportion is just an estimate, and the actual population proportion may differ from it. The confidence interval provides a range of values within which the true population proportion is likely to fall, based on the available data and the chosen level of confidence.

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The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)

The graph of a function is shown below. What is its range?O (1, 2, 4)O (1, 2, 3, 5)O All real numbers.O

Answers

Answer:

(1,2,4)

Step-by-step explanation:

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

representa en una recta numérica naturales indicados e identifica entre ellos un tercer numero
5y7
___________________________
13 y 15
___________________________
25 y 27
___________________________
16 y 17
__________________________
8 y 9
___________________________

porfa ayudenme es para mañana​

Answers

U have to search up duolingo bc it will help u but I think ur a smart person goof job

a survey of 106 students on campus showed that 28 read the campus observer student newspaper that morning, 23 read the news via the internet that morning, and 19 read the local city paper that morning. eight read the campus observer and the internet news that morning, while three read the internet news and the local paper, eight read the campus observer and the local city paper, and one person read the campus observer, the internet news, and the local paper. part: 0 / 3 part 1 of 3 (a) how many read the internet news or local paper but not both? there are students who read the internet news or local paper but not both.

Answers

By using Inclusion-Exclusion Principle, there are 39 students who read the internet news or local paper but not both.

There are 0 students who read the internet news or local paper but not both.

For this, we can use the Inclusion-Exclusion Principle to find the solution for the given problem.

The Inclusion-Exclusion Principle is a counting technique that is used to calculate the cardinality of the union of sets. It states that if we have a collection of finite sets, then the size of the union of these sets is the sum of the sizes of the sets minus the size of their intersection plus the size of the intersection of any three sets minus the size of the intersection of any four sets, and so on.

Let's find out the answer to the given question by using the Inclusion-Exclusion Principle.

We have,

Students (S) = 106,

Campus Observer (CO) = 28,

Internet (IN) = 23,

Local city paper (LP) = 19,

CO ∩ IN = 8,

IN ∩ LP = 3,

CO ∩ LP = 8,

CO ∩ IN ∩ LP = 1

In order to find out the solution, first, we need to find the number of students who read both internet news and local paper. So, we can use the formula of the Inclusion-Exclusion Principle.

The formula of the Inclusion-Exclusion Principle:

|A ∪ B| = |A| + |B| - |A ∩ B|

Where A is the set of students who read the internet news and B is the set of students who read the local paper.

|A ∩ B| = IN ∩ LP ⇒ 3

So, |IN ∪ LP| = IN + LP - IN ∩ LP ⇒ 23 + 19 - 3 ⇒ 39 students

Hence, there are 39 students who read the internet news or local paper. Now, we need to find out how many of them read either of these but not both. Let x be the number of students who read the internet news or local paper but not both.

|IN ∪ LP| = |IN| + |LP| - |IN ∩ LP| + |x|

|x| = |IN ∪ LP| - |IN| - |LP| + |IN ∩ LP|

|x| = 39 - 23 - 19 + 3 = 0

Therefore, there are no students who read the internet news or local paper but not both.

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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ

Answers

The measure of length PQ will be 22 units.

What is the mid-point theorem?

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
10 8/15 ft
7 ft
4 2/3 ft
5 2/3 ft

Answers

The length of the kite and the tail are \(4\frac{2}{3}\) and \(10\frac{5}{6}\) ft respectively.

How to find the length of the kite and tail?

The tail of the kite is 1.5 feet plus twice the length of the kite.  Together, the kite and tail are 15.5 ft long.  

The length of the tail and the kite can be found as follows:'

let

length of kite = x

Therefore,

length of the tail = 1.5 + 2x

Together the length of kite and tail is 15.5 ft

Hence,

1.5 + 2x + x  = 15.5

1.5 + 3x = 15.5

3x = 15.5 - 1.5

3x = 14

x = 14  /3

x = \(4\frac{2}{3}\) ft

length of the tail =  1.5 + 2(14 / 3)

length of the tail = 1.5 + 28 / 3

length of the tail = 65 / 6 = \(10\frac{5}{6}\) ft

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You shuffle a standard 52-card deck, and you deal yourself two cards. Write each of the indicated answers as a fraction. What is the probability both cards are aces

Answers

The probability of dealing yourself two aces from a shuffled 52-card deck can be expressed as a fraction.

To calculate the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is the number of ways to choose any two cards from the deck, which can be calculated using combinations. In this case, we have 52 cards, and we want to choose 2 cards, so the total number of possible outcomes is given by the combination formula: C(52, 2) = 52! / (2! * (52-2)!) = 1326.

The number of favorable outcomes is the number of ways to choose two aces from the deck. Since there are 4 aces in a deck, the number of favorable outcomes is given by the combination formula: C(4, 2) = 4! / (2! * (4-2)!) = 6.

Therefore, the probability of both cards being aces is the ratio of the number of favorable outcomes to the total number of possible outcomes: 6/1326, which can be simplified to 1/221.

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Two farmers bought a total of 230 cows and a year later found out that the first farmer had 10% more cows than in the beginning, whereas the second had 20% increase. The total number of cows at the end of the observed period was 263. How many cows did each have in the beginning?

Answers

In the beginning, they have 50 and 180 cows respectively.

How to find the total number of cows?

The two farmers bought  a total of 230 cows .

A year later the first farmer had 10% more cows than in the beginning.

Therefore,

let

x = number of cow he has initially.

A year later the percentage increase = 0.1x

whereas the second had 20% increase. Therefore,

let

y = number of cow he has initially.

A year later percentage increase = 0.2y

Hence,

x + y = 230

1.1x + 1.2y = 263

1.1x + 1.1y = 253

1.1x + 1.2y = 263

0.2y = 10

y = 10 / 0.2

y = 50

x = 230 - 50

x = 180

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You just ate the "Big Breakfast with Hotcakes" which has 1090 Calories. How many miles do you need to walk to burn off all the Calories from breakfast? Assume that you can burn 418 kJ/mile from walking. (1 Calorie =4.184 kJ )

Answers

You would need to walk approximately 11 miles to burn off all the calories from the "Big Breakfast with Hotcakes

To calculate the number of miles you need to walk to burn off all the calories from breakfast, we can use the following steps:

1. Convert the provided calorie value to kilojoules:

  Calories = 1090

  1 Calorie = 4.184 kJ

  Energy in kilojoules = Calories * 4.184 kJ/Calorie

  Energy in kilojoules = 1090 * 4.184 kJ/Calorie

2. Determine the amount of energy burned per mile:

  Energy burned per mile = 418 kJ/mile

3. Divide the total energy from breakfast by the energy burned per mile to obtain the number of miles needed to be walked:

  Miles = Energy in kilojoules / Energy burned per mile

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

Simplifying the expression:

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

  Miles = 11

Hence, in order to eliminate the calories consumed from the "Big Breakfast with Hotcakes," you would have to walk for about 11 miles.

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