The sum of two numbers is 22. The sum of 3/4 of one of the numbers and 1/5 of the other number is 11. Find the two numbers.​

p chart from this data are attached below.

Describe about p chart?

P bar = total detective / total sampled

P bar = \(\frac{20}{100}\)

         = \(\frac{1}{5}\)

UCL = P bar + L . \(\sqrt{\frac{p bar q bar}{n} }\)

        = \(\frac{1}{5}\) + 3 * \(\sqrt{\frac{1}{5} *\frac{4}{5} * \frac{1}{100} }\)

        = (\(\frac{1}{5} + \frac{3 * 2}{50}\))

        = (0.20 + 0.12)

UCL = 0.32

CL = P bar = 0.20

LCL = P bar - L . \(\sqrt{\frac{p bar q bar}{n} }\)

       = (\(\frac{1}{5} - \frac{3 * 2}{50}\))

       = (0.20 - 0.12)

LCL  = 0.08

Therefore, UCL = 0.32, CL =  0.20, LCL  = 0.08

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Answer:

in my calculation the answer is lettter a but in goo gle the answer is b

which one will you trust?

Step-by-step explanation:

mark brainliest please

Answer:

The probability that at least two of the customers exceed their limit is 0.2642.

Step-by-step explanation:

We are given that Past records indicate that the probability of customers exceeding their credit limit is 0.05.

On a given day, 20 customers place orders.

Let X = the number of customers who exceed their credit limit

The above situation can be represented through binomial distribution;

\(P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......\)

where, n = number of trials (samples) taken = 20 customers

            r = number of success = at least two

            p = probability of success which in our question is the probability 

                  of customers exceeding their credit limit, i.e; 0.05.

So, X ~ Binom(n = 20, p = 0.05)

Now, the probability that at least two of the customers exceed their limit is given by = P(X \(\geq\) 2)

        P(X \(\geq\) 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

=  \(1- \binom{20}{0}\times 0.05^{0} \times (1-0.05)^{20-0}- \binom{20}{1}\times 0.05^{1} \times (1-0.05)^{20-1}\)

=  \(1- (1 \times 1 \times 0.95^{20})- (20 \times 0.05^{1} \times 0.95^{19})\)

=  0.2642

C(n) = min(αn, βn) then gcd(0,b) = p(1)^(c1)∙p(2)^(c2)..................p(n)^(cn). So for all other a, b have gcd exist.

The integer a=0 and b=0 does not have any greatest common divisor.

Suppose n = gcd(0,r)

Then 12|0 and 12|0 also n is the greatest divides both (a=0), (b=0).

But n+1|0, n+1|0 as (n+1)*0 = 0 which is a contradiction to n = gcd(0, r).

Hence, gcd(0, r) does not exist.

But if a≠0 or b≠0.

It has a unique prime factorization that is;

a= p(1)^(α1)∙p(2)^(α2)∙p(3)^(α3)......................p(n)^(αn),

b= p(1)^(β1)∙p(2)^(β2)∙p(3)^(β3)......................p(n)^(βn).

Let C(n) = min(αn, βn) then gcd(0,b) = p(1)^(c1)∙p(2)^(c2)..................p(n)^(cn).

So for all other a, b have gcd exist.

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Answer: 1/125 or 0.008 (simplify 1.125 or should I do it?)

Step-by-step explanation:

Well, when there is a negative sign in the exponent you only move the negative exponents. Moving only negative exponents is recommended because using this rule, you multiply two exponents with the same base and add their powers.

Answer: is A

Step-by-step explanation:

The triangle from this problem is a right triangle. This means that we can use Pythagora's Theorem to find the unkown side. This is done below:

The missing side has a length of 12.1

The Sample standard deviation would be 3.56 and the confidence interval is between72.74 to 78.60.

What is a confidence interval?

A confidence interval is a range of values that is estimated to contain the true value of a population parameter with a certain level of confidence. It is a measure of the uncertainty associated with an estimate of a population parameter, such as the mean, the proportion, or the variance.

a)

sample mean = 75.67

sample std. dev. = 3.56

b)

Given CI level is 90%, hence α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05, tc = t(α/2, df) = 2.015

\(CI = (xbar - tc * s/\sqrt{n} , xbar + tc * s/\sqrt{n})\\\\CI = (75.67 - 2.015 * 3.56/\sqrt{6} , 75.67 + 2.015 * 3.56/\sqrt{6})\\\\\CI = (72.74 , 78.60)\)

Hence the Sample standard deviation would be 3.56 and the confidence interval is between72.74 to 78.60.

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Answer:

eight point ninety-seven

Step-by-step explanation:

hope this helped<3

Answer: Eight point ninety-seven or Eight and ninety-seven

Step-by-step explanation:

Eight (8)

point (decimal point)

ninety-seven (97)

Some teachers also like to say it like this:

Eight (8)

and (decimal point)

ninety-seven (97)

Hope this helps!

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

Answer:

A. 320 ft²

B. 2,304 ft²

Step-by-step explanation:

A. Area of one triangular face = area of triangle = ½*b*h

Where,

b = 32 ft

h = 20 ft

A = ½*32*20 = 16*20

A = 320 ft²

Area of 1 triangular face = 320 ft²

B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid

T.S.A = 4(320) + (s²)

Where,

s = 32 ft

T.S.A = 4(320) + (32²)

T.S.A = 1,280 + 1,024

= 2,304 ft²

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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The x-coordinate for the solution is x = 9

What is Linear equation?

Linear equations are equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.

The x-coordinate for the solution is x = 9.

To solve a system of linear equations using elimination, we can add or subtract the equations to eliminate one of the variables. In this case, we can add the equations to eliminate the y variable:

(13y - 6x) + (Sy - 2x) = 45 + 9

15y - 8x = 54

y = (54 - 8x)/15

Substituting this expression for y back into either of the original equations, we can solve for x:

13y - 6x = 45

13((54 - 8x)/15) - 6x = 45

54 - 8x = 45

-8x = -9

x = 9

Therefore, The x-coordinate for the solution is x = 9.

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Answer:

To maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

Step-by-step explanation:

Since Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park, and he has $ 45,000 to purchase new boats (canoes & kayaks) , and he can buy canoes for $ 600 each & kayaks for $ 750 each, and his facility can hold up to 65 boats, if the canoes will rent for $ 25 per day & the kayaks will rent for $ 30 per day, to determine how many canoes & how many kayaks should he buy to earn the most revenue, the following calculation should be performed:

65 x 750 = 48,750

48,750 - 45,000 = 3,750

750 - 600 = 150

3,750 / 150 = 25

25 x 600 + 40 x 750 = 45,000

25 x 25 + 30 x 40 = 1,825

600 x 5 = 3,000

750 x 4 = 3,000

40 x 30 + 25 x 25 = 1,825

60 x 30 + 0 x 25 = 1,800

56 x 30 + 5 x 25 = 1,805

52 x 30 + 10 x 25 = 1,810

48 x 30 + 15 x 25 = 1,815

44 x 30 + 20 x 25 = 1,820

Thus, to maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

Answer: C is the answer

In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.

The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.

After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.

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Inequality x < 8 represents the real-world problem where Bradley makes less than $8 per hour.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the hourly wage that Bradley makes.

We can represent the given information as:

x < 8

x less than eight.

The inequality x < 8 represents the real-world problem where Bradley makes less than $8 per hour.

Hence,  inequality x < 8 represents the real-world problem where Bradley makes less than $8 per hour.

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Answer: the amount of money Bradley makes per hour, <, 8, d < 8

Step-by-step explanation:

I got it right on the math assignment.

Answer:

59.3 °

Step-by-step explanation:

its trigonometry

so you have the

opposite side= 43.5

and the adjacent side = 24.8

if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.

to find the angle (tan) you need to do tue opposite / adjacent

tan^-1 (43.5/25.8)

= 59.3 to 1 d.p.

you need to use tan^-1 as you are finding the missing angle

The proportional relationship used to determine the total number of chairs in x rows is given as follows:

y = 38x.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

There are 304 chairs in 8 rows, hence the constant is given as follows:

k = 304/8

k = 38.

Meaning that the equation is given as follows:

y = 38x.

And that the fourth option is correct.

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Answer:

-5

Step-by-step explanation:

Answer:

5 (five)

also it doesn't let me send which is kinda word like it say u have to do 50

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

Answer:

x=15

Step-by-step explanation:

Angles 2 and 4 are same-side interior angles. This means that if they are supplementary angles, then the lines A and B are parallel.

Supplementary angles, when added together, will equal a total of 180°. Set up an equation in which the angles are added and are equal to 180:

\((2x+10)+(4x+80)=180\)

Solve for x. Remove the parentheses and combine like terms:

\(2x+10+4x+80=180\\\\2x+4x+10+80=180\\\\6x+90=180\)

Work to isolate the variable, x. Subtract 90 from both sides:

\(6x+90-90=180-90\\\\6x=90\)

Isolate x. Divide both sides by 6:

\(\frac{6x}{6}=\frac{90}{6} \\\\x=15\)

The value of x is 15.

:Done

If you want to check your work, insert the value of x into the angles, and add them. If the answer is 180, then the value of x is true:

\(2x+10\\\\2(15)+10\\\\30+10\\\\40\)

∠2=40

\(4x+80\\\\4(15)+80\\\\60+80\\\\140\)

∠4=140

∠2+∠4=180

40+140=180

The value of x is true.

Answer:

The slope of the line is -1

Step-by-step explanation:

Take two coordinates and use the slope formula to find the slope of the line.

(-2,0) and (0,-2)

y2-y1 divided by x2-x1

-2-0=-2

0--2=2

-2/2 = -1

Slope=-1

The expression in the mathematical form will be (1/4)( 2 - 3x ) / ( 2x ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The word form of the expression is given as adding one-fourth of two subtracted from thrice a number to twice the same number.​

The expression can be written as,

E = (1/4)( 2 - 3x ) / ( 2x ).

Hence, the expression will be (1/4)( 2 - 3x ) / ( 2x ).

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Answer:

Step-by-step explanation:

Given expression:

It is the product of two factors, in other words it has two factors:

Correct choice is A

Step-by-step explanation:

Given expression = 5(m - 1)

5(m - 1) = 0

So, the factors are

5 and (m - 1)

Step-by-step explanation:

\(x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \)

a=1.

b=-7

c=-6

x=

\( \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} \)

OR

\( \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} \)

Therefore x= 7,772

OR

x=-0,772

The addition of the vectors \(\vec a + \vec b\) is (3, -5) and it has been represented by using the head to tail method in the graph below.

In Mathematics and Science, a vector can be defined as an element of a vector space, which represents an object that is composed of both magnitude and direction.

In Mathematics and Science, a vector typically comprises two (2) points. First, is the starting point which is commonly referred to as the "tail" and the second (ending) point that is commonly referred to the "head."

Generally speaking, the head to tail method of adding two (2) vectors involve drawing the first vector (\(\vec a\)) on a cartesian coordinate and then placing the tail of the second vector (\(\vec b\)) at the head of the first vector. Lastly, the resultant vector is then drawn from the tail of the first vector (\(\vec a\)) to the head of the second vector (\(\vec b\)).

By solving the given vectors algebraically, we have the following:

\(\vec a + \vec b\) = (4, -3) + (-1, -2)

\(\vec a + \vec b\) = [(4 + (-1)), (-3 + (-2))

\(\vec a + \vec b\) = [(4 - 1), (-3 - 2)]

\(\vec a + \vec b\) = (3, -5).

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The equivalent ratios are 14:56 and 5 : 20 .

A ratio in mathematics shows how many times one number appears in another. For instance, if there were eight oranges and six lemons on a fruit platter, the ratio of oranges to lemons would be eight to six.

By dividing each quantity by the sum of all the numbers' common components, ratios can be reduced (much like fractions are). The fraction is said to be in its simplest form when the ratio's numbers are the tiniest practical integers.

A and B are frequent names for the ratio's antecedent and consequent, respectively.

The given ratios are 2 : 8 and 7 : 28 . which when simplified given the ratio 1 : 4 .

Now we know that 1 / 4 = k which is the common ratio.

Hence 14 / x = k = 1 / 4

or , x = 56

Again 5 / y = k = 1 / 4

or , y = 20

Therefore the equivalent ratios are 14:56 and 5 : 20 .

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