5x - 347 = 2,16 [...]

What digit(s) make this equation a whole number?

Hello!

This is a question about ratios and relating them to multiples of the ratio.

We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.

Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.

Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.

That means that 16 cups of rice should be added if we have 28 cups of boiling water.

In terms of ratios, we can set up the following proportion.

\(\frac{14}{8}=\frac{28}{x}\)

Then here, we can cross multiply and solve for \(x\).

\(14x=224\)

\(x=16\)

Hope this helps!

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

1. x + 3y = 6  answer is    x = 6 − 3 y

2. 3x + 9y=-4  answer is  x = − 4 3 − 3 y

but if u are talking about both of them together it has no solution

Step-by-step explanation:

Simplified form of fourth root of 2401x¹²y¹⁶  is  7x³y⁴

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given,

⁴√2401 x¹² y¹⁶=⁴√7*7*7*7 (x³)⁴(y⁴)⁴

                       =⁴√(7)⁴ (x³)⁴(y⁴)⁴

                       =⁴√(7 x³y⁴)⁴

                       =  7 x³y⁴

Therefore, Simplified form  fourth root of 2401x¹²y¹⁶  is  7x³y⁴.

To learn more question related equation  click on the link below:

brainly.com/question/10413253

#SPJ1

By using linear equation, it can be concluded that-

t is the dependent variable in the equation t = 7.50h

What is linear equation?

Equation gives the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is called linear equation.

The equation t = 7.50h gives the amount t (in dollars) that a person makes after working h hours.

Here on giving the value of h, the value of t is obtained.

So t is the dependent variable.

To learn more about linear equation, refer to the link-

https://brainly.com/question/2030026

#SPJ1

Answer:

answer is A

Step-by-step explanation:

you on edg?

Answer:

C

Step-by-step explanation:

y² + 36x² = 36

The equation of the ellipse is given as follows:Express the answer in standard form. The equation of an ellipse with a vertical major axis is given by:x² / a² + y² / b² = 1

Where "a" is the semimajor axis, and "b" is the semiminor axis. The center of the ellipse is (h, k).Vertices are the endpoints of the major axis, and endpoints of the minor axis are called co-vertices. (0,-2) and (0,10) are the vertices of the ellipse.

Since the minor axis has a length of 2, the semiminor axis "b" = 1.The distance between the vertices is 10-(-2) = 12. Since the center of the ellipse is midway between the two vertices, the distance from the center to either vertex is 12/2 = 6. Hence, the value of "a" is 6. The center of the ellipse is (0, 4).

The equation of the ellipse is:x² / 6² + y² / 1² = 1

Simplify the equation by multiplying each term by 6²y² / 1² + x² / 36 = 1

Therefore, the standard form of the equation is y² + 36x² = 36.

Learn more about: ellipse

https://brainly.com/question/20393030

#SPJ11

The balance after 2 years if the interest is compounded monthly is $477.79.

To calculate the balance after 2 years, we first need to determine the interest rate per month. Since the annual interest rate is 3%, the monthly interest rate is 3% / 12 = 0.25%. We can then use the following formula to calculate the balance after 2 years:

Balance = Principal x (1 + Monthly interest rate)^(Number of months)

Plugging in the values, we get:

Balance = $450 x (1 + 0.0025)^(2 x 12) = $477.79

Therefore, the answer is d. $477.79.

It's important to note that the compounding frequency affects the interest earned. By compounding monthly instead of annually, the balance is able to earn more interest since the interest is being added more frequently. It's also important to keep in mind that this calculation assumes that no additional deposits or withdrawals are made during the two-year period and that the interest rate remains constant.

Know more about compound interest click here;

https://brainly.com/question/26457073

#SPJ11

Answer:

x ≈ - 4.12 , x ≈ 0.12

Step-by-step explanation:

Given

2x² + 8x - 1 = 0 ( add 1 to both sides )

2x² + 8x = 1 ← factor out 2 on the left side

2(x² + 4x) = 1

To complete the square

add/ subtract (half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 1, that is

2(x + 2)² - 8 = 1 ( add 8 to both sides )

2(x + 2)² = 9 ( divide both sides by 2 )

(x + 2)² = \(\frac{9}{2}\) ( take the square root of both sides )

x + 2 = ± \(\sqrt{\frac{9}{2} }\) = ± \(\frac{3}{\sqrt{2} }\) = ± \(\frac{3\sqrt{2} }{2}\)  ( subtract 2 from both sides )

x = - 2 ± 1.5\(\sqrt{2}\) , thus

x = - 2 - 1.5\(\sqrt{2}\) ≈ - 4.12 ( to 2 dec. places )

x = - 2 + 1.5\(\sqrt{2}\) ≈ 0.12 ( to 2 dec. places )

Answer:

See below.

Step-by-step explanation:

To find the equation, we need to find the slope and the y-intercept. Afterwards, we can put the numbers into the slope-intercept form:

\(y=mx+b\)

From the graph, we can see that the line crosses the y-intercept at y=-6. Thus, the y-intercept (b) is -6.

Now we need to find the slope. Pick any two points where the line crosses. I'm going to pick (0,-6) and (4,-7).

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-6)}{4-0}= -1/4\)

Therefore, the equation of the line would be:

\(y=mx+b\\y=-1/4x-6\)

Answer:

depends on how much the apples cost

Note that in this random sample of 20 students, 44/20 = 2.2 students are enrolled in the nursing program. However, since we can't have a fraction of a student, we round to the nearest whole number and say that there are 2 students enrolled in the nursing program. (Option B)

To carry out one trial of this simulation, we will use the digits in the first line of the random number table, reading from left to right. Each digit corresponds to one student in the sample of 20. We will use the given assignment of digits to outcomes to determine whether each student is enrolled in the nursing program or not.

The first digit is 1, which corresponds to a student enrolled in the nursing program. The second digit is 3, which corresponds to a student not enrolled in the nursing program. The third digit is 1, which corresponds to a student enrolled in the nursing program. The fourth digit is 6, which corresponds to a student not enrolled in the nursing program. The fifth digit is 4, which corresponds to a student enrolled in the nursing program.

Continuing in this way, we can assign outcomes to all 20 students in the sample. Counting the number of students enrolled in the nursing program, we have:

1 + 1 + 4 + 5 + 9 + 6 + 1 + 0 + 8 + 9 = 44

So, in this random sample of 20 students, 44/20 = 2.2 students are enrolled in the nursing program. However, since we can't have a fraction of a student, we round to the nearest whole number and say that there are 2 students enrolled in the nursing program. (Option B)

Learn more about random sample at:

https://brainly.com/question/29852583

#SPJ1

a)The probability that at least 10 of the 15 randomly chosen individuals have no citations is 0.6723.  b) the probability that fewer than half of the 15 randomly chosen individuals have at least one citation is 0.3826. c) the probability that the number of individuals among 15 who have at least one citation is between 5 and 10, inclusive, is 0.7278.

Recall that in Exercise 30 (Section 3.3) the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company, was given as follows:

Y=y 0 1 2 3 4 5

P(Y=y) 0.52 0.29 0.10 0.05 0.03 0.01

a. We can use the binomial distribution to model the number of individuals among 15 who have no citations, with the probability of success being P(Y=0)=0.52. Then, the probability of at least 10 individuals having no citations is:

P(X >= 10) = 1 - P(X < 10) = 1 - P(X <= 9)

Using a binomial table or calculator, we find that:

P(X <= 9) = 0.3277

Therefore,

P(X >= 10) = 1 - P(X <= 9) = 1 - 0.3277 = 0.6723

b. We can use the binomial distribution again to model the number of individuals among 15 who have at least one citation, with the probability of success being P(Y>0)=1-P(Y=0)=1-0.52=0.48. Then, the probability of fewer than half (less than 7) individuals having at least one citation is:

P(X < 7) = Σ P(X = k), where k = 0,1,...,6

Using a binomial table or calculator, we find that:

P(X < 7) = 0.6174

Therefore,

P(X >= 7) = 1 - P(X < 7) = 1 - 0.6174 = 0.3826

c. We need to find the probability that the number of individuals among 15 who have at least one citation is between 5 and 10, inclusive. We can use the binomial distribution with the probability of success being P(Y>0)=0.48. Then, the probability is:

P(5 <= X <= 10) = Σ P(X = k), where k = 5,6,...,10

Using a binomial table or calculator, we find that:

P(5 <= X <= 10) = 0.7278

Learn more about  the binomial distribution:https://brainly.com/question/29137961

#SPJ11

Your question is incomplete, but probably the complete question is :

Exercise 30 (Section 3.3) gave the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company. What is the probability that among 15 randomly chosen such individuals

a. At least 10 have no citations?

b. Fewer than half have at least one citation?

c. The number that have at least one citation is between 5 and 10, inclusive?*

Jay's net weight change in 6 month is 30 pounds.

a) Given that, in February, the record low temperature for ST.Paul Minnesota was -3° F

In January temperature = -3×6

= -18 F

c) Jay went on a diet and last 5 pounds each month

Jay's net weight change in 6 months = 5×6

= 30 pounds

Therefore, Jay's net weight change in 6 month is 30 pounds.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ1

Answer:

3 squares

Step-by-step explanation:

Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

1

Step-by-step explanation:

1 part

i m sorry my small brother wrote it

hope it helps you and plz mark me brilliantest

Step-by-step explanation:

m<2

Answer

47

Step-by-step explanation:

Answer:

Step-by-step explanation:

width = 3x + 1

height = (24x^3 - 58x^2 + 23x + 15) / (12x^2 - 11x - 5)

Answer:

x = 3/16

Step-by-step explanation:

Answer: x = 3/4 or X = - 1/8

Step-by-step explanation:

Answer:

the first option and the 4th option are the answers the other options are wrong

Answer:

40

Step-by-step explanation:

24 divided by 3 is 8. 8 multiplied by 5 is 40.

The given scenario involves analyzing the interarrival times in a department store. The data consists of two columns, one for the arrivals per minute and the other for the corresponding interarrival times. By using Excel formulas, we can derive descriptive statistics for the interarrival times and calculate the probability of the interarrival time being less than a specific value.

In question 1, to determine the distribution of the interarrival time A, we can calculate the mean arrival rate λ by finding the average of the arrivals per minute column. The distribution of A can then be inferred as an exponential distribution with a mean of 1/λ. Using this distribution, we can calculate the mean and standard deviation of the interarrival time A in minutes.
In question 2, we can directly analyze the n=500 samples of interarrival times using Excel formulas. By calculating the average and standard deviation of the interarrival times, we can compare these values to the descriptive statistics derived from the exponential distribution in question 1. This allows us to assess the similarity between the two sets of statistics.
Finally, in question 3, we are asked to find the probability that the interarrival time between customers is less than 30 seconds (0.5 minutes). To calculate this probability, we can use the properties of the exponential distribution and the mean arrival rate λ. By applying the exponential distribution formula, we can determine the probability of an interarrival time being less than a specific value.
To obtain the precise calculations and answers to questions 1, 2, and 3, you would need to perform the Excel formulas mentioned in the instructions on the given data. These calculations would provide the specific descriptive statistics and probability for the interarrival times in the department store scenario.

learn more about descriptive statistics here

https://brainly.com/question/30764358



#SPJ11

Therefore , the solution to this problem is the probability comes out to be Z = - 0.433

The mathematical formula that determines all the possibilities for a thing to occur in particular random events is known as a probability calculation, and it is defined by that mathematical formula. The level of confidence in a probability is based on how close to the unit value it is; on the other hand, if it is closer to zero, the final outcome is less certain. Probability is computed using a value between 0 and 1, and the degree of certainty is defined by this proximity.

Here ,

Given : mean value is 0.62

Z value formula is

z = (x' -mean)/(\(\sigma\)/\(\sqrt (n)\))

By replacing the supplied values, we obtain -

\(\sigma\) = \(\Sqrt {(x'-mean)^2/n}\)

\(\sigma\) = = 0.09

z = (0.58-0.62)/(0.09)

z = -0.433

Therefore , the solution to this problem is the probability comes out to be Z = - 0.433

To know more about probability , visit

https://brainly.com/question/11234923

#SPJ4

The equation of a circle with the center at the origin and radius 10 can be determined by using the standard form of the equation of a circle, which is given by the equation x² + y² = r², where (x, y) are the coordinates of any point on the circle, and r is the radius of the circle. If the center of the circle is at the origin,

then the coordinates of the center are (0, 0), and the equation can be written as x² + y² = 10². This equation represents a circle with center at the origin and radius 10. This equation can be used to graph the circle by plotting the points that satisfy the equation.

The circle will be a perfect circle with a radius of 10 units and centered at the origin. It will pass through the points (-10, 0), (0, -10), (10, 0), and (0, 10). These points can be found by solving the equation for x and y. When x = -10, 0, and 10, y will be equal to 0, and when y = -10, 0, and 10, x will be equal to 0. This is how the circle can be graphed using the equation.

To know more about center visit:

https://brainly.com/question/31935555

#SPJ11

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

If d < 0, we get:

or

or

Here's the LaTeX representation of the given explanations:

a) To write the distance \(\(d\)\) between the line and the point \(\((5, 2)\)\) as a function of \(\(m\)\) , we can use the point-slope form of a line. The equation of the line passing through \(\((0, -3)\)\) with slope \(\(m\)\) is given by \(\(y = mx - 3\)\) . The distance \(\(d\)\) between the line and the point \(\((5, 2)\)\) can be found using the distance formula:

\(\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(5 - 0)^2 + \left(2 - (m \cdot 5 - 3)\right)^2} = \sqrt{25 + (2 - 5m + 3)^2} = \sqrt{25 + (5 - 5m)^2} = \sqrt{25m^2 - 50m + 50} \]\)

Therefore, the function \(\(d(m)\)\) representing the distance between the line and the point \(\((5, 2)\) is \(d(m) = \sqrt{25m^2 - 50m + 50}\).\)

b) To find the limits \(\(\lim_{{m \to \infty}} d(m)\) and \(\lim_{{m \to -\infty}} d(m)\)\) , we evaluate the function \(\(d(m)\)\) as \(\(m\)\) approaches positive infinity and negative infinity, respectively.

\(\[ \lim_{{m \to \infty}} d(m) = \lim_{{m \to \infty}} \sqrt{25m^2 - 50m + 50} = \sqrt{\lim_{{m \to \infty}} (25m^2 - 50m + 50)} = \sqrt{\infty^2 - \infty + 50} = \infty \]\)

\(\[ \lim_{{m \to -\infty}} d(m) = \lim_{{m \to -\infty}} \sqrt{25m^2 - 50m + 50} = \sqrt{\lim_{{m \to -\infty}} (25m^2 - 50m + 50)} = \sqrt{\infty^2 + \infty + 50} = \infty \]\)

Therefore, both limits \(\(\lim_{{m \to \infty}} d(m)\) and \(\lim_{{m \to -\infty}} d(m)\)\) approach infinity.

To know more about slope visit-

brainly.com/question/32625968

#SPJ11

In 120 ways 5 numbers can be arranged through permutations.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation." The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Given,

In following ways 5 numbers can be arranged through permutations,

5!

5 × 4 × 3 × 2×1

120

In 120 ways 5 numbers can be arranged through permutations.

To learn more about permutation, visit:

https://brainly.com/question/13387529

#SPJ4

Answer:

so here you have given four point if you find slope be between A and B and then another slope between C and D so according to the formula Slopem1 × slopem2 = -1

if this condition fulfil then it's perpendicular