Someone help me please

Answer:

Shirley is 28.

Step-by-step explanation:

Well, to quickly find it:

We'd have to find two numbers that fit this description.

We already know it is going to be within the late 20's and early 30's at the start.

So we start with:

28 + 3 = 31

Then to verify we add these two numbers:

31 + 28 = 59

Now applying to the descriptions,

Shirley would be three years younger Susan.

So Susan would be 31. Shirley is 28.

The percent decrease in capacity for a 12-Volt battery which had a capacity of 30 ampere-hour aging and has dropped to a capacity of 24 ampere-hours is 20%.

It is a product of the current that is drawn from the battery while the battery is able to supply the load until its voltage is dropped to lower than a certain value for each cell.

How to calculate the percent decrease of the battery capacity?
Original capacity = 30 ampere-hour

dropped capacity = 24 ampere-hour

% decrease = (original capacity - dropped capacity) / original capacity

= (30-24) / 30

= 0.2 * 100

= 20% decrease capacity.

Learn more about battery capacity https://brainly.com/question/16094667

#SPJ4

Answer:

a) 21.817

b) 29.93

Step-by-step explanation:

a)

solution:

By using Pythagoras theorem

AB = √(AC²-BC²)

= √(24²-10²)

= √476

= 21.817

b)

solution:

By using Pythagoras theorem

AB=√(AC²-BC²)

=√(36²-20²)

=√896

=29.93

The range of f(x) = 3/4ˣ - 4 is all real numbers greater than -4. I.e. (-4, ∞).

Given,

The function, f(x) = 3/4ˣ - 4

We have to find the range of the function;

Function;-

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Domain and Range of a Function;-

It is the collection of all potential function inputs. For instance: F(x) = x2 in the illustration below. The domain is the set of all the inputs, and the range is the set of all the outputs.

Here,

The function, f(x) = 3/4ˣ - 4

That is,

The range of f(x) = 3/4ˣ - 4 is all real numbers greater than -4. I.e. (-4, ∞).

Learn more about range of a function here;

https://brainly.com/question/9169243

#SPJ4

There are total 576 numbers.

What do you mean by factorial?

The product of all positive integers less than or equal to a given non-negative integer, n!, is known as the factorial of that number in mathematics. The product of the factorial of n! with the following smaller factorial also equals the factorial of n!:

n! = n × (n-1) × (n-2) × (n-3) ..........3 × 2 × 1

Total number of digits = 7

Digits = 1,2,3,4,5,6,7

Number of odd digit = 4

Number of even digit = 3

Consider the 4 odd digits as a single unit. Number of ways in which the odd digits can be arranged within the unit = 4!

Take the unit of four odd digits with 3 even digits. So, there are 4 units. Number of possible arrangements of these 4 units= 4!

So, total number of 7-digit numbers that can be made = Number of ways in which the off digits can be arranged within the unit x Number of possible arrangements of 4 units

= 4! × 4!

= 24 × 24

= 576

Therefore, there are total 576 numbers.

To learn more about the factorial from the given link.

https://brainly.com/question/25997932

#SPJ4

A linear function table  is a table having a constant rate of  change between  its datapoints  

A linear equation is is an equation that consists of each variable raised with a maximum of one degree. the linear equation in terms of variables x and y can be written in the form  of  y = mx + c, where m is the slope and x is the independent variable, and y is the dependent variable when the data points of the given  table are potted in   a graph, we get a straight  line for a linear function table, a such function must  have a constant  slope in between its points

to know more about linear function table refer to the link https://brainly.com/question/20286983?referrer=searchResults.

#SPJ4

The lower limit of the 90% confidence interval is 0.429 when in a survey of 200 randomly chosen American adults, 104 responded in favor of the proposed proposal.

Given that

In a survey of 200 randomly chosen American adults, 104 responded in favor of the proposed proposal. Calculate a 90% confidence interval for the percentage of all U.S. adults who support the proposal based on the results of this poll (at the time of the poll). Complete the table below after that. Carry your calculations to a minimum of three decimal places.

We have to find the lower limit of 90%.

We know that

In a poll of 200 randomly selected U.S. Among adults, 104 expressed support for the novel idea.

p-hat = 104/200 = 0.52

ME = z×√[pq/n] = 2.5758×√[0.52*0.48/200] = 0.091

Now, the lower limit of the 90% confidence interval well be

p-hat-ME = 0.52-0.091 = 0.429

Therefore, The lower limit of the 90% confidence interval is 0.429 when in a survey of 200 randomly chosen American adults, 104 responded in favor of the proposed proposal.

To learn more about limit visit: https://brainly.com/question/29394831

#SPJ4

The four parent functions are Linear Functions, Parabolas and Quadratic Functions, Polynomial Functions - Cubic Functions and Absolute Value Functions.

In the given question we have to write the four parent function.

As we know that;

The simplest function in a family of functions, a parent function maintains the definition of the entire family.

There are several basic functions that we run with frequently in math. These fundamental functions include the square root function, basic polynomials, absolute values, and rational and exponential functions.

The 4 parent functions are;

To learn more about parent functions link is here

brainly.com/question/17939507

#SPJ4

P-values means in this problem is that to reject a null hypothesis it should be smaller . If p-value is large , means the alternate hypothesis is weak, so you do not reject the null.

In statistics, the p-value is the probability of obtaining results at least as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.

The p-value serves as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected.

A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis .The p-value approach to hypothesis testing uses the calculated probability to determine whether there is evidence to reject the null hypothesis.

According to the question,

If h₀ ( null hypothesis ) is true then there is a chance equal to the p-value that the average number of hours women work each week is 83 hours

It means if our p-value is bigger that it couldn't get any evidence to reject null hypothesis But if h₁ (alternative hypothesis ) is true then there is chance to the p-value that the average number of hours women work is not more 83 hours or more means the to p-value is smaller and stronger to reject null hypothesis.

To know more about P-value here

https://brainly.com/question/14790912

#SPJ4

Answer:

Additive identity

Step-by-step explanation:

When a number that when added to any number it results in itself as the sum

Solve a system of equations we get 28 number of songs that were dedicated and 14  number of birthday wishes.

Let x be No.of Listeners dedicate a song

y be the No. of Birth day wishes.

$10 to dedicate a song or $25 to wish someone Happy Birthday.

Forty-two listeners made one pledge each .

X+Y =42.

y = 42 -x

the station collected $630.

10x + 25y = 630

y = 42 -x in above equation .

10x + 25(42 -x) = 630

10x -25x +1050 = 630

-15x = 630 -1050 = -420

x = 420/15

x = 28

y= 14

we get 28 number of songs that were dedicated and 14  number of birthday wishes.

To learn more about system of equations refer,

https://brainly.com/question/25869125

#SPJ4

Solve a system of equations we get 28 number of songs that were dedicated and 14  number of birthday wishes.

system of equations, or simultaneous equations Two or more equations to be solved concurrently in algebra (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

Let x be No.of Listeners dedicate a song

y be the No. of Birth day wishes.

$10 to dedicate a song or $25 to wish someone Happy Birthday.

Forty-two listeners made one pledge each .

X+Y =42.

y = 42 -x

the station collected $630.

10x + 25y = 630

y = 42 -x in above equation .

10x + 25(42 -x) = 630

10x -25x +1050 = 630

-15x = 630 -1050 = -420

x = 420/15

x = 28

y= 14

we get 28 number of songs that were dedicated and 14  number of birthday wishes.

To learn more about system of equations refer,

brainly.com/question/25869125

#SPJ1

The values of mean and standard deviation of the total passenger baggage weight in respected cases of commuter airline is given below:

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are the probability that something happens divided by the probability that it doesn't happen.

Relative Frequency Definition.

Subjective Probability.

a.) If there are only two passengers on the plane, the mean of the total passenger baggage weight would be 76 pounds and their standard deviation would be10 pounds.

b.) The probability would be 0.1611 that the total passenger baggage weight from two passengers exceeds 90 pounds.

c.) If the plane has ten passengers, the mean of the total passenger baggage weight would be 380 pounds and their standard deviation would be 30 pounds.

d.) The probability would be 0.1515 that the pilot will not take off.

To learn more about Probability, visit:

brainly.com/question/21275989

#SPJ4

According to reserch about 18 percent people worldwide having sprinter gene.

In the given question, we have to find how many people have the sprinter gene.

As we know that;

The ACTN3 gene is the recently identified "sprinters gene."

A gene, as we already stated, codes for a protein. Alpha-actinin-3 is designated by ACTN3. This protein, which can only be found in fast twitch muscle fibres, gives muscles their explosive ability.

In order to summarise the genetic component, an individual has the ACTN3 gene if alpha-actinin-3 is present in muscle cells. They are therefore better suited for quick movements.

According to reserch about 18 percent people worldwide having sprinter gene.

To learn more about sprinter gene link is here

brainly.com/question/5558084

#SPJ4

If you receive 400 points when you register on the game website. For every hour you play, you gain 50 extra points. You must play for 30 hours to reach 1,000 points.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, if you sign up with the game site, you get 400 points. You earn 50 more points for each hour that you play.

We have to find the hours you have to pay to get to 1,000 points,

The point remains after signing up,

=1,000 - 400

=600

If the earning is 50 more points for each hour that you play. The number of hours required,

=600 / 50

=30

Thus, you receive 400 points when you register on the game website. For every hour you play, you gain 50 extra points. You must play for 30 hours to reach 1,000 points.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

The graph of a straight line can be drawn as described in the solution.

To represent a straight line on a graph consider two points namely x and y-intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The graph for a straight line for given points and y-intercept can be drawn as follows,

The point-slope equation of the straight line is,

y = mx + c

Where m is the slope and c is the y-intercept of the straight line.

Suppose there are two points (x₁, y₁) and (x₂, y₂).

Then the slope of the straight line passing through them is given as,

Slope = (y₂ - y₁)/(x₂ - x₁)

Substituting the slope in the  point-slope equation of the straight line the equation is obtained as,

y = ((y₂ - y₁)/(x₂ - x₁))x + c

Hence, the equation of the straight line passing through points (x₁, y₁) and (x₂, y₂) and having y-intercept c can be given as y = ((y₂ - y₁)/(x₂ - x₁))x + c.

To know more about straight line equation click on,

brainly.com/question/21627259

#SPJ1

Substitution is one method for solving linear equation systems.

First, arrange the equations so that the variables are vertically arranged.

Step 2: Pick the variable that is most straightforward to take out, and multiply it by a different value in each equation so that its coefficients are the same.

Subtract the two equations in step three.

Solve the one variable system in step four.

Step 5: To find the other equation, re-enter that number into either equation.

Step 6: Reread the question and re-enter your responses to double-check.

Learn more about equation here

https://brainly.com/question/29538993

#SPJ4

Step-by-step explanation:

The factors of -3 are -1, -3.

The marginal product of the 13th worker is 10 units of output.

Given, L represent the number of workers hired by a firm, and Q represent that firm's quantity of output.

Two points on the firm's production function are

(L = 12, Q = 122) and (L = 13, Q = 132).

we have to find the marginal product of the 13th worker,

As, to find the marginal product we find the slope,

so, Marginal Product of 13th Worker = (132 - 122)/(13 - 12)

Marginal Product = 10/1

Marginal Product = 10

So, the marginal product of the 13th worker is 10 units of output.

Hence, the marginal product of the 13th worker is 10 units of output.

Learn more about Slope of Line here https://brainly.com/question/16949303

#SPJ4

The question is from social studies

The correct statement is;-

Option d; Disability benefits for the worker and the worker's dependents are provided by the Federal Insurance

Given,

Federal Insurance;-

Federal government insurance is a type of insurance that covers all state personnel working in offices and legally authorized divisions. Taxes for social security are typically used to pay for the coverage it offers.

Contrary to many private sector health benefit plans, the Federal Employees Health Benefits (FEHB) program offers coverage without a physical examination, does not impose age or physical condition restrictions, offers a variety of health insurance plans to choose from, and cannot be terminated by the plan you enroll in.

Here,

The correct statement is;-

Option d; Disability benefits for the worker and the worker's dependents are provided by the Federal Insurance

Learn more about federal insurance here;

https://brainly.com/question/827771

#SPJ4

The  both hypotheses in statistical symbols and in everyday language is:

Null Hypothesis: H₀:μ=15 micrograms

Alternative Hypothesis: H₁:μ>15 micrograms.

The null hypothesis in inferential statistics is that two possibilities are the same. The null hypothesis states that the observed difference is attributable solely to chance. The likelihood of the null hypothesis being true can be calculated using statistical testing.

Given,

The federal government has established 15 micrograms per liter as the maximum safe level of lead in drinking water. The Linois state department of health samples water from a large sample of residents' homes because it suspects that the water in the city of Steel is unsafe.

Null Hypothesis:

The federal government has established that  the maximum safe level of lead in drinking water is 15 micrograms.

H₀:μ=15 micrograms

Alternative Hypothesis:

The federal government has established that  the maximum safe level of lead in drinking water is more than 15 micrograms.

H₁:μ>15 micrograms.

Null Hypothesis: H₀:μ=15 micrograms

Alternative Hypothesis: H₁:μ>15 micrograms

To know more about null hypothesis, visit:

https://brainly.com/question/28920252

#SPJ4

The correct option is option (d). The utility will be maximum on indifference curve below I.

Indifference curve:

An indifference curve is a graph that shows the combination of two products that provide consumers with equal satisfaction and utility. Each point on the indifference curve indicates that the consumer is indifferent to his two points, all delivering equal utility.

The equation of a typical indifference curve is, U(x,y)=c

where the constant c stands for the utility level achieved on the curve

Since consumer has an income of $48 which means consumer budget line initially was,. 4x+4y=48 ---(1)

And final budget line after price change is 12x+4y=48 ---(2)

With the above budget line it is impossible to have any of the indifference curve. Because for equilibrium Budget line should be tangent to Indifference curve and thus equilibrium will be below point D.

To learn more about Indifference curve, refer :

https://brainly.com/question/24302783

#SPJ4

Complete question :

Refer to the following indifference map for a consumer who has a income of $48 to spend on goods x and y and the market price of x and y are both $4.now suppose the price of good x increases to $12 while the price of good y remains $4. utility will be maximized on which indifference curve?

a) I

b) II

c) III

d) on an indifference curve below I

The exact value of all six trigonometric functions from the given below point (-4,5) on the terminal side of an angle θ in standard position are as follow:

sinθ = (-4/√41) ,   cosecθ = ( -√41/4)

cosθ =(5/√41) ,    secθ = ( √41 /5)

tanθ =(-4/5) ,        cotθ = ( -5/4)

As given in the question,

Given point ( x, y) = (-4,5)  which is below on the terminal side of an angle θ in standard form.

Coordinate y represents the perpendicular side

Coordinate x represents the base

Using Pythagoras theorem ,

Let 'r' represents the hypotenuse .

r = √x² + y²

 = √(-4)² + 5²

 = √16 + 25

 = √41

Exact value of all the trigonometric functions are as follow:

sinθ = (x/r)

        = (-4 /√41)

cosθ = ( y /r)

       = ( 5/ √41 )

tanθ = ( x/y)

       = ( -4 /5)

cosecθ = ( r / x)

            = ( -√41 /4)

secθ = ( r/y)

        = ( √41/ 5)

cotθ = ( y/x)

        =( -5/4)

Therefore, the exact value of all six trigonometric functions from the given below point (-4,5) on the terminal side of an angle θ in standard position are as follow:

sinθ = (-4/√41) ,   cosecθ = ( -√41/4)

cosθ =(5/√41) ,    secθ = ( √41 /5)

tanθ =(-4/5) ,        cotθ = ( -5/4)

Learn more about trigonometric functions here

brainly.com/question/14746686

#SPJ4

We shall round it down to 16 in the circumstance when we need to determine the degrees of freedom for the t-distribution.

Any member of the family of continuous probability distributions known as the Student's t-distribution (or simply the t-distribution) in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.

Under the alias "Student," English statistician William Sealy Gosset created it.

The Student's t-test for determining the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and linear regression analysis are just a few commonly used statistical analyses that make use of the t-distribution.

So, in the given situation where we need to get the degrees of freedom for the t-distribution, we will round it down to 16.

Therefore, we shall round it down to 16 in the circumstance when we need to determine the degrees of freedom for the t-distribution.

Know more about the t-distribution here:

https://brainly.com/question/24277447

#SPJ4

Answer:

2

Step-by-step explanation:

he must multiply the bracket by -

Answer:

Ways to choose a set two balls of the same color:

[0.5 * (b) * (b - 1)] + [0.5* (r) * (r - 1)]

Different colors:

0.5 * [(b) * (r) + (r) * (b)] = 0.5 * (2 * b * r)  

= b * r

Any two balls

0.5 * (b + r) * (b + r - 1)

= 0.5 * [b * (b + r - 1) + r * (b + r - 1)]

= 0.5 * [b^2 + b * r - b  + b * r + r^2 - r]

= 0.5 * [b^2 - b + r^2 - r + b * r + b * r]

= 0.5 * [b * (b - 1) + r * (r - 1) + 2 * b * r]

= 0.5 * (b * (b - 1)) + 0.5 * (r * (r - 1)) + 0.5 * (2 * b * r)

= [0.5 * (b * (b - 1)) + 0.5 * (r * (r - 1))] + [b * r]

= Number of ways of choosing two balls of the same color + number of ways of choosing two balls with different colors

Step-by-step explanation:

Answer:

b = -2

Step-by-step explanation:

y = mx + b

use -2 for m

use 1 for x

use -4 for y

-4 = (-2)(1) = B

-4 = -2 + b  Add two to each side

-2 = b

[tex]\huge \boxed{\sf -2}\\\\\\\displaystyle \sf Line\ equation\ y=mx+b \\\\Substituting \ m=-2 \ and\ (1,-4) \\\\-4=-2(1)+b\\\\-4=-2+b\\\\Adding\ 2\ to\ each\ side \\\\-4+2=-2+b+2\\\\-2=b[/tex]

Answer:

414.69

Step-by-step explanation:

2*pi*r

A  water bottle would have 600 milimeters.

What is multiplication?

In mathematics, multiplying means adding equal groups. The number of things in the group grows as we multiply. A multiplication problem includes the two factors and the product. In the multiplication problem, 6 9 = 54, the numbers 6 and 9 are factors, and 54 is the product.

If one fluid ounce has approximately 30mm.

then 20 fluid ounce will have = 30 * 20

                                                 = 600 millimeters.

Hence, a water bottle would have 600 milimeters.

To learn more about multiplication in mathematics, visit:

https://brainly.com/question/10873737

#SPJ4

The accident proportions differ between the two age groups is [tex]\frac{11}{100}[/tex].

We have given that,

number of clients under age of 18 = 500

number of accident = 180

Proportion of client under age of 18 =  [tex]\frac{180}{500}[/tex]  = [tex]\frac{18}{50}[/tex]

number of clients over age of 18 = 600

number of accidents = 150

number of clients over age of 18 = [tex]\frac{150}{600}[/tex] = [tex]\frac{15}{60}[/tex] = [tex]\frac{1}{4}[/tex]

Now we have to find proportion of difference between two age group,

[tex]\frac{18}{50}[/tex]  -  [tex]\frac{1}{4}[/tex] =  [tex]\frac{72 - 50}{200}[/tex]

          = [tex]\frac{22}{200}[/tex]

          =  [tex]\frac{11}{100}[/tex]

Therefore the difference between two age groups is  [tex]\frac{11}{100}[/tex] .

To know more about proportion here

https://brainly.com/question/23896239

#SPJ4

The standard deviation of the sampling distribution is 177

From the question, the given parameters are

Population standard deviation = 5 cm

Toy cars = 1250

Mean = 10.5

These can be represented as

σ = 5

n = 1250

μ = 10.5

The sampling standard deviation is calculated as

σₓ = σ√n

So, we have

σₓ = 5 * √1250

Evaluate

σₓ = 177

Hence, the sampling standard deviation is 177

Read more about standard deviation at

https://brainly.com/question/475676

#SPJ1