select all the statements that are true

The price elasticity of demand is 1.90.

Price elasticity of supply measures the responsiveness of quantity supplied to changes in price of the good. It is expected that quantity supplied would be positively related to the price of the good.

Price elasticity of supply = percentage change in quantity supplied / percentage change in price

55% / 29% = 1.90

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The answer is d.

Finding area of ABCD :

    2. Apply formula to find area

Finding area of GHIA :

Finding area of DEFG :

Now, let's see whether is true.

∴ Hence, it is proved √

Perimeter of the rectangle is: 6x + 6 cm

Area of the rectangle is: 18x - 18 cm²

Area = (length)(width)

Perimeter = 2(length + width).

Given the following:

Length of rectangle = 3x - 3

Width = 6

Area = (3x - 3)(6)

Area = 18x - 18 cm²

Perimeter = 2(3x - 3 + 6) = 2(3x + 3)

Perimeter = 6x + 6 cm

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Answer:

p(x)=x3-3x2+4x+50 and g(x)=x-3

The partition point is (-7/2, 23/4)

The given parameters are:

(x1,y1) = (-6,-1)

(x2,y2) = (4,8)

a = 1 and b = 3

The partition point is calculated as:

(x, y) = ((bx1 + ax2)/(a + b) ,( by1+ay2)/a+b)

So, we have:

(x, y) = ((3 * -6 + 1 * 4)/(1 + 3) ,(3 * 8 + 1 * -1)/1+3)

Evaluate

(x, y) = (-14/4, 23/4)

Simplify

(x, y) = (-7/2, 23/4)

Hence, the partition point is (-7/2, 23/4)

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Answer:

I wish I could I didnt do good with this in math

See below for the response to each question

This is the item that is being surveyed.

The surveyed item is birth weights

Hence, the variable is birth weights

From the question, we have:

Average birth weight is 6 pounds 8 ounces.

Hence, the units of the variable are pounds and ounces

This is the total number of babies in Southeast Asia

Hence, the population of interest is the babies in Southeast Asia

This is the people in the survey

Hence, the individual in the study is the 100 babies that were randomly surveyed

This is the value that gives the required information.

Hence, the parameter of interest is the average birth weight

The statistic is the average

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Answer:

x=189

Step-by-step explanation:

please mark me as brainiest

The annual interest rate needed to reach the given amount in five years is 4.47%.

Hence, option B) is the correct answer.

Compound interest is expressed as;

A = P( 1 + r/n )^(nt)

Making rate r the subject of the formula;

r = n[ (A/P)^(1/nt) - 1 ]

Given that;

We substitute into our formular above

r = n[ (A/P)^(1/nt) - 1 ]

r = 12[ (2500/2000)^(1/(12×5)) - 1 ]

r = 12[ (1.25^(1/60) ) - 1 ]

r = 12[ 1.0037598 - 1 ]

r = 12[ 0.0037598 ]

r = 0.447

Next we convert to percentage

r = 0.447 × 100%

r = 4.47%

The annual interest rate needed to reach the given amount in five years is 4.47%.

Hence, option B) is the correct answer.

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Answer:

It is the second answer.

Step-by-step explanation:

When numbers with the same base are multiplied, you add the bases.

1/2 + 3/4 is the same as

2/4 + 3/4 = 5/4

So now we have 2 ^5/4^2.  When we have a power raised to a power.  We multiply the powers.

5/4(2)

(5/4(2/1) = 10/4 = 5/2.  The second answer is the same way to describe

2^(5/2)

Answer:

Distribute -1/2 over (x+4)

Step-by-step explanation:

-0.5(x+4) = 6

-0.5x - 2 = 6

-0.5x = 8

x = -16

Answer:

Multiple both sides by -2 or Distribute negative one-half over (x+4)

Step-by-step explanation:

-1/2(x+4) = 6

If I multiple both sides by -2, I am clearing the fraction:

(-2)(-1/2)(x+4) = 6(-2)

x+4 = -12

x = -16

OR

-1/2(x + 4) = 6

-1/2x -2 = 6  Remember, a negative times a positive is a negative.

-x - 4 = 12 multiply both sides by 2

-x = 16

x = -16

The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.

Given that;

1) 2/3 + 6/3

We combine the numerators over the common denominators

= ( 2 + 6 ) / 3

= 8/3

2) 4/6 + 9/6

We combine the numerators over the common denominators

= ( 4 + 9 ) / 6

= 13/6

3) 6/6 + 6/6

We combine the numerators over the common denominators

= ( 6 + 6 ) / 6
= 12/6

= 2

The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.

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Answer:

4 lawns

Step-by-step explanation:

20/5

The confidence interval expressed in the form p - E is:

(0.104 - 0.039, 0.104 + 0.039).

The mean is the mean of the bounds, hence:

p = (0.065 + 0.143)/2 = 0.104.

The margin of error is the difference between the bounds and the mean, hence:

E = 0.104 - 0.065 = 0.143 - 0.104 = 0.039.

Hence the interval in the desired format is:

(0.104 - 0.039, 0.104 + 0.039).

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Answer:

Gievn that l=3m,b=5m,h=4m

L.S.A=2(l+b)h

=2×(3.5)×4

=2×8×4

=64sq.m

Step-by-step explanation:

Answer:

a)  0.0721

Step-by-step explanation:

Let the random variable X be the score on the ACT exam.

Given:

Therefore, the random variable X is normally distributed:

[tex]X \sim\textsf{N}(21,5^2)[/tex]

Z-score for a sample mean

[tex]\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \overline{X} \sim \left(\mu,\dfrac{\sigma^2}{n}\right) \implies Z=\dfrac{\overline{X}-\mu}{\sigma / \sqrt{n}} \sim \textsf{N}(0,1)[/tex]

[tex]\textsf{then the test statistic is}: \quad z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}[/tex]

Given:

Therefore, the test statistic is:

[tex]\implies z=\dfrac{19.8-21}{5/ \sqrt{37}}=-\dfrac{6\sqrt{37}}{25}=-1.459863007=-1.46\:\: \sf (3\:s.f.)[/tex]

Using the Z-tables to find the probability:

[tex]\implies \text{P}(Z \leq -1.46)=0.0721[/tex]

Answer:

D. is the answer of your questions

The regression equation is y = -0.42647x + 29.11471 and the correlation coefficient is -0.9607

The table of values is given as:

Completion Percentage 57 59 62 63 64

Interception Percentage 5 3.5 3 2.5 1.5

Next, we enter the above values in a graphing calculator.

From the graphing calculator, we have the following summary:

Regression Equation = ŷ = bX + a

b = SP/SSX = -14.5/34 = -0.42647

a = MY - bMX = 3.1 - (-0.43*61) = 29.11471

So, the regression equation is

y = -0.42647x + 29.11471

And the correlation coefficient is -0.9607

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The Cartesian equation of the parametric formulae is x² - y² = 1. Please see the image attached below for further details of the behavior of the function.

In this question we have an hyperbolic function, a kind of transcendent function based on exponential functions. The parametric equations can be rewritten in rectangular coordinates by the using the following property:

sinh² t - cosh² t = 1     (1)

x² - y² = 1

The graph of the Cartesian equation is present in the figure attached below, in which the directions are shown in detail.

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The solutions to the quadratic problem are x = -1 and x= 4

From the question, we are to create a problem with a quadratic equation and solve graphically

Consider the quadratic equation

x² -3x -4 = 0

The graph of the quadratic equation is shown below

We can observe that the graph cuts the x-axis at the point x = -1 and x = 4

Hence, the solutions to the quadratic problem are x = -1 and x= 4

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Using the normal distribution, the areas to the left are given as follows:

a) 0.7910.

b) 0.6664.

c) 0.3707.

d) 0.8508.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Hence:

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It would Gretchen 192 minutes to swim the entire 2 2/5 mile course.

What is speed?

Speed is distance divided by the time taken to cover the distance.

In this case, we can determine distance covered in a minute by dividing the speed by the distance, which is distance of 7/8 mile(i.e. 0.825 mile) over the time take to cover the distance.

speed per minute=0.825/70

speed per minute=0.0125 mile/minute

With this, we can determine the time in minutes it would take to cover 2.4 miles(2/5=0.4)

0.0125=2.4/time

0.0125*time=2.4

time=2.4/0.0125

time=192 minutes

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A. The greatest number of friends who can receive a necklace made from a combination of 72 blue and 42 red beads is 6.

B. Each friend will receive a necklace with 12 blue beads and 7 red beads.

The solution to this problem can be determined by considering the highest common factors of 72 and 42.

The common factors of 72 and 42 are 2 and 3.

The factors of 72 are 2, 3, and 12.

The factors of 42 are 2, 3, and 7.

2 x 3 = 6

When 6 divides 72 = 12

When 6 divides 42 = 7

Number of blue beads = 72

Number of red beads = 42

The highest number that can divide 72 and 42 without a remainder is 6.

Thus, each friend's necklace will contain 19 beads (12 blue beads and 7 red beads).

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Answer:

11664

Step by Step:

Evaluate for x=6,y=1

3(6^2)(6^2)(6−(3)(1))

3(6^2)(6^2)(6−(3)(1))

=11664

Farmer will made 14 basket each of 5 apple and 7 peaches.

what is greatest common factor?

Greatest common factor (GCF) is largest common factor in the given number.

first find common factor of numbers 70 and 98

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

farmer will made 14 basket each of 5 apple and 7 peaches.

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The farmer will make 14 baskets containing each of 5 apples and 7 peaches.

Given:

Find:

Solution:

So, for solving this kind of question first we have to find the greatest common factor, we get;

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

So, the farmer will make 14 baskets each of 5 apples and 7 peaches.

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Answer:

The balance in Bank B will be greater.

Step-by-step explanation:

Because simple interest is just interest on the principle only which is 50 every year doesn't change but with compound interest you will get 2% Interest every year.  principle+interest

The value P price they charges for shirts is (-0.008n) + 38

According to the statement

we have given that the 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $14 .

And we have to find the linear equation.So,

Let p = price

n = number of shirts

m = slope of the line   (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

And they gives us the two points like here (1000, $30) and (3000, $14) which have to be on our line.

To find the slope m, you use m = (p₁-p₂)/(n₁-n₂)

Filling in from our points       m = (30-14)/(1000-3000)

                                         m = 16/-2000

                                         m = -0.008

Now that we have the slope and a point, we can find our equation

p-p₁=m(n-n₁)

p-30=(-.008)(n-1000)

p-30= (-.008n) + 8

p=(-.008n) + 38

So, The value P price they charges for shirts is (-0.008n) + 38

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