bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?

Answer:

Step-by-step explanation:

20? lol

The margin of error with 80% confidence interval is 2.099

Given that,

A straightforward random sample of 25 observations is taken from a population that is normally distributed and has a standard deviation of 8.2.

To find : The margin of error with 80% confidence

Margin of Error : The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here we have

n=25,σ=8.2

For 80% confidence interval, the critical value of z is 1.28. So requried margin of error is

ME=[tex]Z_{c}\cdot \frac{\sigma}{\sqrt{n}}[/tex]=1.28[tex]\cdot \frac{8.2}{\sqrt{25}}[/tex]=2.0992

Thus, with 80% confidence, the error margin is 2.099.

To learn more about margin of error click here:

brainly.com/question/10501147

#SPJ4

The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

So, the congruence statement of the given 2 triangles is as follows:

△RGB ≅ △DCS

Hence, △RGB ≅ △DCS  under ASA condition.

Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

Know more about the congruency of triangles here:

https://brainly.com/question/29003974

#SPJ13

Answer:

1 = 88

2 = 92

3 = 88

4 = 92

5 = 92

6 = 88

7 = 92

8 = 88

Step-by-step explanation:

10x + 2 = 14x - 50

52 = 4x

18 = x

The required value of h(0) = 5 in the given function is represented in the shown graph.

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of h(0) of the given function in the graph

According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.

Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ1

Answer:

9

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

Answer:

P(x) = (x - 3)(x + 3)(x + 2)(x - 1)

Answer:

Step-by-step explanation:

Solution:To write a polynomial in standard form, simplify and then arrange the terms in descending order.Expand ( x2 − 9 )( x + 2 ) using the FOIL Method.Simplify each term.

The value of x and y is 7 and -2 respectively.

The equations to solve are -

On adding equations 1 and 2 we get ,

3y = -6

y = -2

Putting the value of y in equation 1,

⇒ x - 2(-2) = 11

⇒ x + 4 = 11

⇒ x = 7

Hence ,the value of x and y is 7 and -2 respectively.

To understand more about simple equations refer -

https://brainly.com/question/26184005

#SPJ9

Answer:

45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

         27 = 60% of C                         C is the total cars in the collection

         27 = .60 C

         27 / .60 = C

         45 = C

Hope this helps! :)

Answer:

the shorter leg = 9mm

the longer leg = 12mm

the hypotenuse is 15mm

Step-by-step explanation:

x^2 +(x+3)^2 =(x+6)^2

x^2 + x^2 + 6x +9=x^2 + 12x +36

x^2-6x-27=0

(x+3)(3-9)=0

x=-3 (impossible) ... or x=9

5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

1. No This survey does not mean that cell phones are good for your health.

2. The factor that can be used as the best explanation for the strong correlation would be the general economic conditions of the people.

When one variable's value rises, the other variable's value also rises in a similar way. For instance, a student's exam score tends to be greater the more hours they study. Exam results and study time have a significant positive link.

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant relationship with one another, whereas a weak or low correlation indicates that the variables are rarely associated.

Read more on positive correlation here https://brainly.com/question/28093573

#SPJ1

complete question

A survey of the world's nations in 2004 shows a strong positive correlation (hence, a positive association) between percentage of the country using cell phones and life expectancy in years at birth.

a. Does this mean that cell phones are good for your health? select one: ____ yes ____ no

b. What might best explain the strong correlation (as a lurking variable)?

Select one:

_____ Percent of young people

____ General economic conditions of the country

____ Percent of pop. living in cities

Answer:

  see the attachment

Step-by-step explanation:

You want a graph of the given figure reflected over the line y = 1/3x +1.

The given line of reflection can be written in general form as ...

  y = 1/3x +1

  3y = x +3 . . . . . . multiply by 3

  x -3y +3 = 0 . . . . subtract 3y

This is in the general form ...

  ax +by +c = 0

where a=1, b=-3, c=3.

The line of reflection is the perpendicular bisector of the segment joining a point (x, y) with its reflection (x', y').

Using the formula in the second attachment, we find the reflection

  (x1, y1) ⇒ (x, y)

satisfies ...

  (x -x1)/a = (y -y1)/b = -2(ax1 +by1 +c)/(a² +b²)

or ...

  x = -2a/(a²+b²)·(ax1 +by1 +c) +x1

  y = -2b/(a²+b²)·(ax1 +by1 +c) +y1

Using the known values for a, b, c, we have ...

  x = -2(1)/(1² +(-3)²)·(x1 -3y1 +3) +x1 = (1/5)(4x1 +3y1  -3)

  y = -2(-3)/10·(x1 -3y1 +3) +y1 = (1/5)(3x1 -4y1 +9)

Rewriting the mapping in more conventional terms, we have ...

  (x, y) ⇒ ((4x +3y -3)/5, (3x -4y +9)/5)

It is convenient to let a spreadsheet do the repetitive tedious math. The third attachment shows the application of this mapping to the coordinates of the figure's vertices (clockwise from bottom).

__

Additional comment

The figure showing the reflected polygon was created by a geometry program using its "reflect over a line" feature.

Blair received 15 bars as the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients.

The weighted average is calculated by adding up all the variables, multiplying by their weight, and dividing by the sum of the weights. Instead of treating each item equally, a weighted average or mean multiplies each item being averaged by a number based on its relative importance. The weights or weightings correspond to including that many comparable items of the same value in the average.

Here,

The average weight of the bars given to Brennan (light), Blair, and Maya was higher than the average weight of the bars given to the other two recipients (heavy).

Let X represent the combined weight of all the bars.

The weight of the bars Brennan was given was equal to 45% of X, or 0.45X.

Maya was given bars that weighed 26% of X, or 0.26X.

The weight of the bars Claire was given was the rest, or 29% of X, or 0.29X.

Brennan received bars with an average weight of 0.45 x/ 24.

The weight of the Maya-received bars, on average, is 0.26X/13.

Similar to the previous example, if Blair receives B bars, then their average weight is 0.29X/B.

Similarly, the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients. So blair received 15 bars.

To know more about average weight,

https://brainly.com/question/24057012

#SPJ4

The solution for k in the equation given as 20+ 7k = 8k+ 16 is 4

From the question, the algebraic expression is given as

20+ 7k = 8k+ 16

There is no constant to multiply or divide in the expression

So, the equation remains the same

20+ 7k = 8k+ 16

Collect the like term in the above equation

This gives

8k - 7k = 20 - 16

Evaluate the like term in the above equation

So, we have the following representation

k = 4

The above equation cannot be solved further

Hence, the solution is k = 4

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

He covers 15 miles on the bike, 9 miles by running and 1.5 miles while swimming which sum up to 25.5 miles which is his total training distance.

Distance is defined as an object's entire movement without regard for direction. Distance may be defined as how much ground an item has traversed regardless of its starting or finishing place. Distance is a scalar number that indicates "how much ground an item has covered" while moving. Displacement is a vector variable that describes "how far out of place an item is"; it represents the total change in position of the object. Distance is the length along a line or line segment between two locations on the line or line segment.

Here,

He rides 15 miles, which is ten times as far as he swims.

He runs 9 miles, which is half the distance he rides (15/2=7.5). Plus the additional 1.5 miles, totaling 9.

He swims.10 of what he bikes, for a total of 15x.10 = 1.5. As a result, he swims 1.5 miles.

15 miles = bike

9 miles= run

1.5 mile =swim

Add them all together and you get 25.5 miles.

He rides his bike for 15 miles, runs for 9 miles, and swims for 1.5 miles, for a total training distance of 25.5 miles.

To know more about distance,

https://brainly.com/question/26711747

#SPJ4

The rational number is equivalent to 0.36 is 9/25

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

Decimal number = 0.36

To start with, we need to express the decimal number as a fraction

This is represented as follows:

So, we have the following representation

Decimal number = 36/100

Change the label of the above representation to rational number

Rational number = 36/100

Simplify the rational number (divide the numerator and the denominator by 2)

Rational number = 18/50

Simplify the rational number (divide the numerator and the denominator by 2)

Rational number = 9/25

Hence, the equivalent rational number is 9/25

Read more about rational number at

https://brainly.com/question/22221295

#SPJ1

After selling 35 wooden toys and after cutting the expense of setting up his booth, Emilio earns $370.

What is BODMAS?

BODMAS, often known as the order of operations, is a method for carrying out operations in an arithmetic expression. Math is all about logic and some established principles that facilitate our computations. BODMAS is one of those commonly used rules for consolidating expressions with multiple operators.

Solution Explained:
A/Q, The price of one toy is $12
        The cost of setting up the shop is $50

Therefore, the amount Emilio earns after selling 35 toys is:

(12 X 35) - 50
= 420 - 50
= 370

Hence, Emilio earns $370

To learn more about BODMAS, use the given link below,
https://brainly.com/question/27985272

#SPJ13

Answer:

4 students for newspapers & 3 students for magazines are needed for the deliveries to be made in a day.

Step-by-step explanation:

According to the question,

So, In 8 hours each student can deliver:

35 × 8 = 280 newspapers

50 × 8 = 400 magazines

To find out minimum number of students needed to work we need to divide work done by each student in 8 hours by total deliveries to be made.

[tex] \therefore[/tex]

For Newspapers:

875/280 = 3.125

So, by rounding of the figure we will need 4 students to deliver newspapers as each student can work only for 8 hours.

For magazines:

1200/400 = 3

3 students are needed to deliver magazines.

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

To know more about correct order https://brainly.com/question/7327329

#SPJ1

Probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to 1/6.

As given in the question,

From the given table we have,

Total number of girls and boys in the class = 30

Total number of boys in class = 12

Total number of girls in class = 18

As per given Hint: P(A/B) = P(A and B) / P(B)

A is the Junior

B is the girl

Probability as per given condition is:

P(Junior / Girl) = P(Junior and girl) / P(girl)

                       = (3/30) / (18/30)

                       = 3/18

                       = 1/6 ( lowest term of fraction)

Therefore, probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to  1/6.

The complete question is:

Find P(Junior / Girl)         Hint: P(A/B) = P(A and B) / P(B) .

Classroom of Students

                            Boys     Girls

Freshman              4            4         8

Sophomore           5             7         12

Junior                    2             3           5  

Senior                    1            4           5            

                             12           18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.

Learn more about probability here

brainly.com/question/11234923

#SPJ1

An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

acc to our question-

Hence,An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

learn more about nilpotent click here:

https://brainly.com/question/23827775

#SPJ4

The initial amount of the deposit is $7234.23

Compound interest is calculated on a deposit's or a loan's initial principal as well as the accrued interest from earlier periods. Compound interest's impact is frequency-dependent. The most frequent compounding occurs with continuously compounded rewards. The mathematical maximum that compound interest can achieve is continuous compounding. Since most interest is compounded on a monthly, quarterly, or semiannual basis, this is an extreme example of compounding.

For compound continuous problems, we use the formula [tex]A = Pe^{rt}[/tex]

where A = final amount

P = principal amount invested

e = exponent

r = rate of interest

t = time period in years

[tex]12680 = Pe^{.08(7)} \\12680 = Pe^{0.56}\\ 12680 = P*1.7506\\[/tex]

P = $7243.23

Learn more about compound interest:

https://brainly.com/question/14295570

#SPJ4

The option that would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years include:

A. $80 at 75% for 18 months

C. $225 at 10% for 4 years

It's important to note that the simple interest can be calculated thus:

= Principal × Rate × Time

Therefore, the amount of interest as a $600 principal with 2.5% interest for 6 years will be:

= PRT

= (600 × 0.025 × 6)

= $90

The interest on $80 at 75% for 18 months will be:

= $80 × 0.75 × 1.5

= $90

The interest on $225 at 10% for 4 years will be:

= $225 × 0.1 × 4

= $90

Learn more about interest on:

brainly.com/question/25793394

#SPJ1

The required weight of the flour is 28.125 ounces.

A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.

The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.

w = (15/8)*15

w = 28.125

To learn more about weight, visit :

https://brainly.com/question/23312072

#SPJ1

The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.

Given that,

At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.

To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)

R-bar = 1.05 Degrees

X-bar = 45.25 Degrees

Sample Size , n=5

D3=0

D4=2.114

3 Sigma control limits of Range Chart

LCLR = D3*R-bar = 0*1.05 =0

UCLR =D4*R-bar = 2.114*1.05 = 2.22

The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.

Learn more about UCLR (Upper Control Limit) :

brainly.com/question/16551522

#SPJ4

Answer:

$24

Step-by-step explanation:

3(4) + 3(4) = x (the total cost)

12 + 12 = x

x = $24