La edad de juan es un año menos que la tercera parte de la edad de la madre. si dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan. Hallar la edad de cada uno

Lowest score earned to be qualified for an interview is 92.82

X : Marks scored in interview

X ~ N(80,100)

Here we need to find x such that P(X > x) = 0.10

using standard normal table,

we get P( z > 1.282) = 0.10

It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.

To convert x (which follows Normal distribution) to standard normal use: [tex]\frac{x-\mu}{\sigma} \sim N(0,1)[/tex]

so, [tex]z = 1.282 = \frac{x-\mu}{\sigma}[/tex]

hence,

[tex]x = 1.282 * \sigma + \mu \\x = 1.282 * 10+_80 \\x = 92.82 \\[/tex]

Hence Lowest score earned to be qualified for an interview is 92.82

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For the given figure , Option A , B ,C , F will be true.

A triangle is a polygon with three sides , angles and vertices.

It is given that

Triangle X Y Z is reflected to from triangle L M N.

The diagram is attached with the answer.

As the Triangle is reflected , The shape of the image doesn't change and also

From the diagram it can be concluded that

ΔXYZ ≅ ΔLMN

and as the triangles are Congruent , By CPCTC

∠Y ≅ ∠M

∠X ≅ ∠L

XZ ≅ LN

Therefore , Option A , B ,C , F are the options that are true for the given figure.

The missing figure is attached with the answer.

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Answer:

A B C F

Step-by-step explanation:

ΔXYZ ≅ ΔLMN

∠Y ≅ ∠M

∠X ≅ ∠L

XZ ≅ LN

A graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.

A reciprocal function can be defined as a type of function which comprises an algebraic expression in its denominator and a constant on its numerator such as: f(x) = 2/x.

In Mathematics, a reciprocal function is used when describing relationships that are inversely proportional to one other such as:

As a general rule in Geometry, we can infer and logically deduce that a graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.

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Answer: The last, bottom, or 4th option.

Step-by-step explanation:

See attached.

    By looking through the details of the information given, we can narrow down the correct answer to option 4.

The  term which is to be filled in the sentence given in the question is numerical.

Given the antiderivatives of many ----------------- directly, we resort to various techniques of ________ integration to approximate their values.

We have to fill the blank in the sentence given with appropriate term.

Integration is a technique of finding a function from it's derivative.

Definite integral is the area under a curve between two limits. We have to find the answer by first putting upper limit and then lower limit. Then we have to subtract the answer from lower limit from the answer of upper limit.

In Indefinite integration we have not given any limits.

Numerical integration, a algorithm for calculating the numerical value of a definite integral.

Hence the term for the sentence is numerical integration.

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The correct answer is  f, g, and h only.

What is variable ?

Given,

          expression f + 2g + h/4 - 7

So, in this expression g, f and h are variables.

We can see that in our given expression g, f and h are unknown, therefore, these are variables for our given expression.

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The correct question is -

What are the variables in this expression?

f + 2g + h/4 - 7

A) f and g only

B) g and h only

C) f, g, and -7 only

D) f, g, and h only

Answer: B. the two triangles are not Side-side-side

From the diagram, the two triangles are similar based on the angle-angle similarity theorem.

An equation is an expression that shows the relationship between two or more variables and numbers.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, the two triangles are similar based on the angle-angle similarity theorem.

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There is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."

To solve for the value of x in the equation 0.5(4x - 8) = 2x + 5, follow these steps:

Step 1: Distribute the 0.5 on the left side of the equation:

0.5 * 4x - 0.5 * 8 = 2x + 5

Simplify:

2x - 4 = 2x + 5

Step 2: To isolate the variable term "x" on one side of the equation, move the constant terms to the other side. In this case, subtract 2x from both sides:

2x - 2x - 4 = 2x - 2x + 5

Simplify:

-4 = 5

Step 3: The equation simplifies to -4 = 5, which is not true. This means that the equation has no solution, and there is no value of x that satisfies the equation.

Therefore, there is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."

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Complete question is:

Solve for the value of x: 0.5(4x - 8) = 2x + 5

Multiplication is the process of multiplying. The length of the 10 fence panels is 18 meters.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the length of three fence panels is 5.4 meters.

The lenght of each length panel = 5.4m/3 = 1.8 meter

The length of 10 fence panel = 1.8 meter×10 = 18 meter

Hence, the length of the 10 fence panels is 18 meters.

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The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

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The largest possible last digit in the string of 2002 digits and number divisible by 19 or 31 is 9.

Given the first digit of a string of 2002 digits is 1 and the two digit number formed by consecutive digits within the string is divisible by 19 or 31.

We have to tell the last largest digit of such number.

Two digit numbers divisible by 19=19,38,57,76,95.

Two digit numbers divisible by 31=31,62,93,124

Number started with 1 =19

Last digit is 9

We have said that the number should be divisible by 19 or 31 not from both and started with 1.

Hence the largest possible last digit and number divisible by 19 or 31 in this string is 9.

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Answer:

$55

Step-by-step explanation:

Let c = cost of labour per hour

1) Set up an equation, where hours is denoted by c.

5.5c + 59 = 361.50

5.5c = 361.50 - 59

5.5c = 302.50

c = 302.50/5.5

c = 55

Therefore, the technician took $55 per hour.

The volume of the box is 216 ft cube.

He filled a box with 4 layers of cubes that measured one foot on each side

The bottom of the box fit 6 cubes,

1 cube length = 1 ft.

Therefore,

volume of the box = 6³

Therefore,

volume of the box = 216 ft³

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The simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]

The expression is given as:

[tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex]

Expressions raise to power 0 is 1.

So, we have:

[tex](4^3)(\frac{4^4x^4}{3^2x^2y^2})[/tex]

Apply the law of indices to expression with common base

[tex](\frac{4^{4+3}x^{4-2}}{3^2y^2})[/tex]

Evaluate the sum and difference

[tex](\frac{4^7x^2}{3^2y^2})[/tex]

Remove the bracket

[tex]\frac{4^7x^2}{3^2y^2}[/tex]

Hence, the simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]

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Hello,

Answer:

Slope = -2

Step-by-step explanation:

We have A(4 ; 3) and B(2 ; 7)

y = ax + b where a is the slope

[tex]a = \frac{yb - ya}{xb - xa } = \frac{7 - 3}{2 - 4} =\frac{4}{-2} =-2[/tex]

sample standard deviation.

the sample standard deviation is used to estimate σ in the confidence interval formula. The quantity 1.96σ/ √n is often called the margin of error for the estimate.

Standard deviation (or σ) is a measure of how much the data extends from the mean. A low standard deviation means that the data is gathered around the mean, and a high standard deviation means that the data is more distributed.

Standard deviation is important because it shows how the values ​​are distributed in a particular dataset. Whenever I analyze a dataset, I am interested in finding the following metrics: The center of the dataset. The most common ways to measure the "intermediate" are mean and median. The root means square of the difference between the

observation and the sample mean is called the sample standard deviation. Two or more standard deviations from the mean are considered significant deviations.

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Answer:

1st is y = -7x-58, 2nd is -89.

Step-by-step explanation:

First, the slope intercept for is y = mx+b. M is the slope, b is the y intercept. You know the slope is -7, so then just plug in the point for x, y and you'll get b = -58 once you cancel everything out.

So y = -7x-58.

For 27. just plug in the values. -3^3 is -27 * 3 which is -81 and then -12 and add 4 and you get -89.

Answer:

c

Step-by-step explanation:

i think

Sum of given complex numbers in polar form cos(pi/2) + i.sin(pi/2)

Complex number:

"The number of the type a + ib is called as complex number, where a, b are real numbers and  [tex]i= \sqrt{-1}[/tex]

What is polar form of the complex number?

"The polar form of a complex number z = x + iy

For given question,

The sum of given complex numbers would be w+z = 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)

We know that:

cos(pi/2)= 0

sin(pi/2)=1

cos(3pi/2)=0

So, the sum of given complex numbers would be w+z:

=> 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)

=> 4i + 3(-i)

= i

= 0+i

Therefore, the sum of given complex numbers in polar form as:

cos(pi/2) + i.sin(pi/2)

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Answer: B

Step-by-step explanation: on edge

Answer:

  C.  The point where the perpendicular bisectors of the three sides of the triangle intersect.

Step-by-step explanation:

A number of centers of a triangle are defined. The circumcenter is the center of the circumscribing circle. The incenter is the center of an inscribed circle. The centroid is the center of balance of a triangle of uniform mass density.

The centers defined by descriptions A through D are ...

  A. centroid -- coincident point of medians

  B. incenter -- coincident point of angle bisectors

  C. circumcenter -- coincident point of side perpendicular bisectors

  D. orthocenter -- coincident point of altitudes

Answer:

13 × 14 = 182 yd^2

............................

1.

[tex]2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4[/tex]

The base can't be negative, therefore [tex]x=3[/tex].

2.

[tex]3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7[/tex]

3.

[tex]2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7[/tex]

The probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.

Given Recognition rate of brand in town of Coffleton is 57% and sample size is 10.

We have to use binomial distribution:

P(X=x)=[tex]C_{n,x} p^{x} (1-p)^{n-x}[/tex]

[tex]C_{n,x} =C!/r!(C-r)![/tex]

A) The parameters are as under:

x is the number of successes.

n is the number of trials which is 10 in this question.

p is the probability.

In this problem :

The brand name of a certain chain of coffee shops has 57% recognition rate in the town of coffleton , hence p=0.53.

There is a sample of 10 residents, n=10.

Probability that the no. of people that recognize the brand name is not 4 is as  under:

P(X≠4)=1-P(X=4)

P(X=4)=[tex]C_{10,4}(0.53)^{4} (0.43)^{6}[/tex]

=0.1395

P(X≠4)=1-0.1395

=0.8605

B) P(X>=7)=[tex]C_{10,7} (0.57)^{7} (0.43)^{3} +C_{10,8} (0.57)^{8} (0.43)^{2} +C_{10,9} (0.57)^{9} (0.43)^{1} +C_{10,10} (0.57)^{10} (0.43)^{0}[/tex]

=0.18012+0.081+0.0258+0.0036

=0.29

C)P(X<=5)=[tex]C_{10,1} (0.57)^{1} (0.43)^{9} +C_{10,2} (0.57)^{2} (0.43)^{8} +C_{10,3} (0.57)^{3} (0.43)^{7} +C_{10,4} (0.57)^{4} (0.43)^{6} +C_{10,5} (0.57)^{5} (0.43)^{5}[/tex]

=0.00285+0.0146205+0.0432+0.126+0.21168

=0.3983.

Hence the probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.

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There should be a point the line is going through, (1,2).

We have given that,

N55.60 for 1yr 6 months at the rate of 2%

We have to determine the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%.

[tex]A = P (1 + rt)[/tex]

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

x = inches

y = miles

per 1 inch = 2 miles

so on the graph, there should be a point the line is going through, (1,2).

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The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3)  is 30, 156, 4, 90 and 1/4 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 3(2 + 3 + 5)

= 3(10) = 30

b) 13(9 + 6 - 3)

= 13(12) = 156

c) (9 + 6 - 3) ÷ 3

= 12 ÷ 3 = 4

d) 3(2. 3. 5)

= 3(30) = 90

e) 3 ÷ (9 + 6 - 3) = 3 ÷ 12 = 1/4

The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3)  is 30, 156, 4, 90 and 1/4 respectively

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The weight of sand per bag and price of sand per Ib is 3.75 lb per bag and $1.80 respectively.

Weight of sand per bag = Total weight of bags of sand ÷ Number of bags of sand

= 30 lb / 8

= 3.75 lb per bag

price of sand per Ib = $1.80

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#1

I solved it another question of yours

#2

f(x)=3x-11

f(4)

#3

We can see the point (2,5)

So

The function's range will be between -9,7 and 40.

The range represents all potential y values, whereas the domain represents all conceivable x values.

The provided equation is;

g(x) = x²-9

By entering the values one at a time into the previous equation, we can determine the range of the specified domain.

g(x) = x²-9

a)For x = 0

g(x) = 0²-9

g(x) =-9

b)For x =4

g(x) = 4²-9

g(x) =16-9

g(x) = 7

c)For x =7

g(x) = 7²-9

g(x) =49-9

g(x) = 40

Hence, the range of the function will be -9,7 and 40.

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Answer:

14pi

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The formula for the circumference

= 2πr   where r is the radius

= 2 * π * 7

= 14π

= 43.98 units to the nearest hundredth.

Jose should charge $0.65 for each bag if he intends to sell the bag for $0.15 more than he paid.

Mathematical problems dealing with word problems can be solved by arranging data given into variables and using the appropriate arithmetic operation to solve them.

From the given information:

If Jose bought a 750 bag of peanuts for $375.00. It means that he bought each bag(1 bag) for:

[tex]\mathbf{=\$\dfrac{375}{750}}[/tex]

= $0.5

However, he intends to sell each bag for $0.15 more than he paid; Then the amount he should charge for each bag is:

=$0.5 + $0.15

=$0.65

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