4 1 point Solve for x. Round your answer to the nearest 2 decimal p 26 24° 1 I 2 Type your answer... 3 5

Answer:

  see attached

Step-by-step explanation:

The attachment is my effort to complete the proof. It appears to me the idea is to show that B=3+1 and that 1=3+C. Then you substitute (3+C) for 1 and you've got the proof you want.

_____

The given statements and reasons are intended to give you enough clues that you can figure out the logic that is being used. Once you have done that, you fill in the missing details.

Answer:

$19

Step-by-step explanation:

First you need to make a equation out of given information and this will be easiest to solve as an equation.

3.5      $66.50

1               x

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

3.5:1=66.50:x

3.5x=66.50/:3.5

x=19

On the right side you put one information(in this case number of yards) and on the left other information(cost) and you make proportion from up to down and solve for x.

Probability all three drawn cards have numbers on them = 32.3%

Out of 52 total cards, there are 36 numbered cards.

In the first attempt probability of numbered cards being drawn

= 36 / 52

=0.692

After the first draw, total numbered cards remaining = 35

Total cards remaining = 51

Probability of numbered card in second attempt = 35 / 51

= 0.686

Probability of numbered card in third attempt = 34 / 50

= 0.68

Total probability of all cards being numbers = (36 / 52) x (35 / 51) x (34/50)

= 0.692 x 0.686 x 0.68

=0.323 x 100%

=32.3%

You can learn more about probability from:

https://brainly.com/question/21586810

#SPJ4

Answer:

Nina will earn $78

Step-by-step explanation:

Given:

Nina earns $60 = 5 hours

If Nina shovels 6.5 hours = $?

Solve:

Based on the given we can make a proportion:

\(\mathrm{\frac{\$60}{5\;Hours} =\frac{\$x}{6.5\;Hours} }\)

Using the proportion to solve;

Multiply Cross:

60 × 6.5 = 390

5 × x = 5x

Divide both sides by 5 ⇒ 390 = 5x

390/5 = 5x/5

x = 78

Hence, Nina earns $78 in 6.5 hours.

Check Answer:

60/5 = 12

Thus, Nina earns $12 in one hour.

So, 12 × 6 = 72

Since, 1 hours = $12.. Then 1/2 hours = $12/2 which is $6.

72 + 6 = 78

x = 78

RevyBreeze

The probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.

Probability of an event E denoted by P(E) is defined as (number of favorable outcomes )/( total number of outcomes).

For example : the probability of getting Head in  single toss of an unbiased coin.  P(H)=1/2.

According to the given question

Total number of cards in a standard deck of cards is 52.

There are 4 suit in a deck each having 13 card each.

number of 8 card in a deck = 4

Number of hearts in a deck = 13-1=12      (-1 because 8 of heart is counted before.)

number of favorable cases of getting  either an 8 or a heart is 4+12=16.

The probability of getting either an 8 or a heart is \(\frac{16}{52} =\frac{4}{13}\).

Therefore , the probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.

Learn more about Probability here https://brainly.com/question/27856549

#SPJ4

Answer:

1. AE= 312

2. AC = 161

Step-by-step explanation:

Hey there!

In order to solve the first question, we need to think of possible "C" values

Then after finding the "C" value, we can then find the "A" and "E" values

So:

AC = 24 and CE = 13

What factors do 24 and 13 have in common?

Well, only 1 since 13 is a prime number]

So this means that C has to be 1

Now we know that A is 24 and E is 13

Now we have to multiply them together

24 x 13 is 312

So AE= 312

Now we go on to the second question

We can use the same strategy we used for number one

Instead of finding what C is, we need to find out what E is, since there is E in both of the statements

So:

CE = 7 and AE = 23

What common factors do these two numbers have?

Again, only 1, meaning that E can only be 1

Now we know that C is 7 and A is 23

Since we know this, we can multiply these two numbers together and get our final answer: 161

So AC = 161

Answer:

\(\sqrt{59}\)

Step-by-step explanation:

7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.

One number between 49 and 64 is 59, so \(\sqrt{59}\) is an irrational number between 7 and 8

Answer:

it should be y= -4x + 10

Step-by-step explanation:

hope this helps.

Solving for the variable 'y' gives y > 10

Inequalities are simply defined as expression showing that both sides are not made equal to each other.

It decisions the comparison of two numbers with one bring either greater than, greater than or equal to, less than or less than or equal to.

The symbol used in such expressions are;

Given the inequality;

-1/5 > -2/3y

To solve for 'y', we have to take the following steps:

cross multiply the values

-1 × y > -2 × 5

multiply through

-y > - 10

Make 'y' the subject by dividing both sides by the coefficient of the variable which is -1

We have;

-y/-1 > -10/-1

Find the quotient

y > 10

Thus, solving for the variable 'y' gives y > 10

Learn more about inequalities here:

https://brainly.com/question/25275758

#SPJ1

Answer:

Can you please tell us the question?

Step-by-step explanation:

what?

so the quadratic equation is equivelent to=5^2 so im saying this so that bot doesnt delete me blah blah and 4^2=16 to the power of 4 yhyh

The operations used here are as follows:

Addition.

Division.

The order of operations is a collection of rules that must be followed in a particular order while solving an equation.

The evaluation of any mathematical expression, which includes arithmetic operations like addition, subtraction, multiplication, and division, is what we mean when we say "operations" in mathematics.

Here in the question,

For the 2nd step,

10 was added on both the sides of the equation.

So, addition was the property used.

For the 4th step,

3 was divided from both the sides of the equation.

So, division was the property used.

To know more about operations, visit:

https://brainly.com/question/29949119

#SPJ1

Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Learn more about fraction at: https://brainly.com/question/10354322

#SPJ4

Answer:

f(-1) = 0

f(2) = 16

Step-by-step explanation:

f(-1) = 4(-1) + 4 = 0

f(2) = 4(2) + 8 = 16

Answer:

in finding the inverse of an equation, you just switch x and y, so f(x)=y becomes f(y)=x

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Irrational numbers

This means all numbers that cannot be expressed as a simple fraction they are a set of special numbers

1. Integers are number from 1,2,3 to infinity plus their negatives also, hence the list is endless

2. Rational numbers are numbers that exist from the division of two numbers example 7/5 this is a fraction in which 7 is the numerator and 5 is denominator

3. Natural numbers, all positive counting numbers the list is also endless

By reversing the order of integration, the double integral ∫∫e^v dv becomes (e^b - e^a) times the length of the interval [c, d].

To evaluate the double integral ∫∫e^v dv, we can reverse the order of integration.

Let's express the integral in terms of the new variables v and u, where the limits of integration for v are a to b, and the limits of integration for u are c to d.

The reversed integral becomes ∫∫e^v dv = ∫ from c to d ∫ from a to b e^v dv du.

We can now evaluate the inner integral with respect to v first. Integrating e^v with respect to v gives us e^v as the result.

So, the reversed integral becomes ∫ from c to d [e^v] evaluated from a to b du.

Next, we evaluate the outer integral with respect to u. Substituting the limits of integration, we have ∫ from c to d [e^b - e^a] du.

Finally, we integrate e^b - e^a with respect to u over the interval from c to d, which gives us (e^b - e^a) times the length of the interval [c, d].

In summary, by reversing the order of integration, the double integral ∫∫e^v dv becomes (e^b - e^a) times the length of the interval [c, d].

Know more about Integration here:

https://brainly.com/question/31744185

#SPJ11

R2 is a mathematical equation used to calculate the area of a circle. It is expressed as A = πr2, where A is the area of the circle, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

R2 is a mathematical equation used to calculate the area of a circle. The equation is expressed as A = πr2, where A is the area of the circle, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. This equation is based on the fact that the area of a circle is equal to the product of the radius squared and the constant pi. This equation can be used to calculate the area of any circle, regardless of its size. To use the equation, one simply needs to multiply the radius of the circle by itself and then multiply that answer by pi. The result of this equation is the area of the circle.

Learn more about circle here

https://brainly.com/question/11878555

#SPJ4

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

To know more about probability  click on below link :

https://brainly.com/question/14210034#

#SPJ11

5/8 teaspoon yeast is to be added

Answer:The answer is in the attached file

Step-by-step explanation:

Answer:

No solution:  \(4(0.6x-0.9)=2.4x-2.8\)

One solution:  \(0.5(3x-8)=0.8x+0.9\)

Many solutions:  \(4.2x-3.8=7(0.6x-0.7)+1.1\)

Step-by-step explanation:

\(4.2x-3.8=7(0.6x-0.7)+1.1\)

\(\implies 4.2x-3.8=4.2x-3.8\)

Therefore, true for all \(x\) so many solutions

\(4(0.6x-0.9)=2.4x-2.8\)

\(\implies 2.4x-3.6=2.4x-2.8\)

\(\implies -3.6=-2.8\)

Therefore, no solution

\(0.5(3x-8)=0.8x+0.9\)

\(\implies 1.5x-4=0.8x+0.9\)

\(\implies 0.7x=4.9\)

\(\implies x=7\)

Therefore, one solution

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:

P(heads up) = 16/40

Simplifying the fraction by dividing both the numerator and denominator by 8, we get:

P(heads up) = 2/5 or 0.4

Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.

To find the experimental probability of the coin landing heads up, you'll need to use the following formula:

Experimental probability = (Number of successful outcomes) / (Total number of trials)

In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:

Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)

Now, divide 16 by 40 to get the probability:

Experimental probability (heads up) = 16/40 = 0.4 or 40%

So, based on the results, the experimental probability of the coin landing heads up is 40%.

Learn more about Probability here : brainly.com/question/30034780

#SPJ11

Answer:

972

Step-by-step explanation:

\( {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972\)

The solution of the word problem is -2. Julio's number is -2

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Let Julio's number be x

If you subtract 12 from Julio's number, you will have:

x-12

When you multiply the difference by -7, you will have:

-7(x-12)

Given that the result is -98. That means:

-7(x-12) = -98

Solve for x:

-7(x-12) = -98   (Expand the parenthesis)

-7x + 84 = 98

-7x = 98-84

-7x = 14

x = 14/(-7)

x = -2

Thus, Julio's number is -2

Learn more about word problems on:

brainly.com/question/1781657

#SPJ1

Answer:

205.25

Step-by-step explanation:

if 264 feet costs $4224.00 then

1 ft. = 4224/264

1 ft. = $16

$3824=3824/16 ft.

239 ft=$3824

Answer:

the area of ∆ABC = 9

Step-by-step explanation:

\(CA=\sqrt{\left( -1-2\right)^{2} +\left( 2-5\right)^{2} } = \sqrt{18} =3\sqrt{2}\)

\(CB=\sqrt{\left( 5-2\right)^{2} +\left( 2-5\right)^{2} } = \sqrt{18} =3\sqrt{2}\)

Since CA = CB  then  A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle.

Area calculation:

Let The point H be the midpoint of side AB

\(x_{H}=\frac{-1+5}{2} =2\\y_{H}=\frac{2+2}{2} =2\)

Then

H(2 , 2)

therefore,

\(CH=\sqrt{\left( 2-2{}\right)^{2} +\left( 2-5\right)^{2} } =3\)

Finally,

\(\text{the area of triangle ABC} =\frac{\text{CH} \times \text{AB} }{2} =\frac{3\times 6}{2} =9\)