given the plot of normal distributions a and b below, which of the following statements is true? select all correct answers.Select all correct answers Select all that apply: A has the larger mean. B has the larger mean The means of A and B are equal A has the larger standard deviation. B has the larger standard deviation. The standard deviations of A and B are equal.

The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.

Given:

The wholesale price for a shirt is $5.50,

The markup price  = 90%

Calculate the markup price as shown below,

The markup price  = 90% of $5.50

The markup price  = 90 / 100 × 5.50

The markup price  = $4.95

Calculate the price of the shirt as shown below,

The price of a shirt = The markup price  + The wholesale price of the shirt

The price of a shirt =  $5.50 + $4.95

The price of a shirt =  $10.45

Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

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Answer: 21

Step-by-step explanation: multiply 7 by 3, which = 21

The function that represents how much more water can be added to the bucket before it overflows is given as follows:

c(x) = 6x³ + 3x² - 2x - 2.

The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.

The functions in this problem are defined as follows:

Then the capacity function is obtained as follows:

c(x) = f(x) - g(x)

c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)

Then the distributive property is applied to the negative sign as follows:

c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.

Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:

c(x) = 6x³ + 3x² - 2x - 2.

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The method for finding the instantaneous rate of change of the depth of the water; in feet per hour; at 6 AM is B. D' ( 6 ) = 0 .

Given :

The function D ( t ) = 10 + 4.9 cos ( pi/6 * t )

D is defined above models the depth, in feet, of the water t hours after 12 am. Which of he following shows the method for finding the instantaneous rate of change of the depth of the water, in feet per hour, at 6 am .

Differentiate :

D'( t )  = -4.9 sin ( πt / 6 ) ( π / 6 )

D'( 6 ) = -4.9 sin ( π ) ( π / 6 )

we know that

sin ( π ) = 0

so D'( 6 ) = 0

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A relation R on N that is reflexive and symmetric but not transitive of example is { N , ME , MA } .

Given :

Let N be set of New England states {ME, NH, VT, MA, CT, RI }. (See map provided.) (Note that Maine is abbreviated as ME and Massachusetts as MA.) For each of the following parts, either give an example of a relation on the set of New England states N that has the noted properties, or else show that no such relation exists.

a )

A relation R on N that is reflexive and symmetric but not transitive of example is { N , ME , MA } .

b )

A relation S on N that is reflexive and transitive but not symmetric is { MA , CT , RI } .

c )

A relation T on N that is transitive and symmetric but not reflexive is { ME , NH , VT } .

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Answer:

y=5x

Step-by-step explanation:

Because we already know we need atleast 5 quarters to complete a full load (Wash and dry) so we would multiply that number by how many loads were doing (x) and y is the amount we need. For example five loads is y=5x5 and then we can find y which would be y=25

The dimension of the triangle with the shortest hypotenuse is 2.98.

Here we have to find the dimensions of the triangle.

Given data:

the point given as (8/9, 3) and both passes through x and y-axis.

Let the slope of the line be m.

The line passing through (8/9,

Slope(m) =  (y-3)/{x-(8/9)

y-3=m{x-(8/9)

y-mx=3–8m/9.

As this along with the coordinate axes make the right angled ∆, for the shortest hypotenuse

The x and y the intercepts for the line. So,

y/(3–8m/9)+x/{(3-8m/9)/(-m)}=1.

Where y intercept=(3–8m/9),

x intercept={(8m/9–3)/m.

So the length of hypotenuse;

Hypotenuse(h) = √[{(8m/9–3)/m}²+(3–8m/9)²]|

                         =|(8m/9–3)√(1+m²)/m

So the length of the hypotenuse is to be minimum for m, the hypotenuse is (19/9)×√2=2.98.

Therefore we get the hypotenuse as 2.98.

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Answer:

telecomunication of te following

Answer: $6,000,000 = 40%

               $2,800,000 = 18.66666667%

Step-by-step explanation:

Divide the sales by the total sale.

Ex:

6,000,000/15,000,000 = .4

2,800,000/15,000,000 = .1866666667

The value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.

Given function:

f(a) = 3a + 5 and g(a) = a² + 4

Calculate the f(-2) - g(-2) by putting value -2 in both function

f(-2) = 3(-2) + 5 = -6 + 5

f(-2) = -1

g(-2) = (-2)² + 4

g(-2) = 4 + 4

g(-2) = 8

Hence,  f(-2) - g(-2) = -1 - 8 = -9

Therefore, the value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.

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Answer:

In step 2 you would multiply both sides by 2 not divide by 2

Step-by-step explanation:

1/2w=30

 *2      *2

w=60

Answer:

The mistake is between Step 1 and Step 2.

Step-by-step explanation:

Leon is isolating the variable, w. In this case, he should have multiplied 2 to both sides of the equation to isolate the variable, w.

[tex]2 * (\frac{1}{2})w = 3 * 2\\ w = 3 * 2\\w = 6[/tex]

For the whole question

1) Add 12 to both sides of the equation:

[tex]\frac{1}{2} w - 12 = 18\\\frac{1}{2} w - 12 (+12) = 18 (+12)\\\frac{1}{2} w = 18 + 12\\\frac{1}{2} w = 30[/tex]

2) Multiply 2 to both sides of the equation:

[tex](2 *) (\frac{1}{2}w) = 30 (* 2)\\w = 30 * 2\\w = 60[/tex]

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Number of states ,  100 Percentage of students  0- 0 100 Percentage of students 20 21- 40 41- 60 61- 80 81- 100

1. Draw a horizontal axis with percentages of students (0 - 100%) marked along the axis.

2. Draw a vertical axis with number of states (0 - 25) marked along the axis.

3. Divide the horizontal axis into sections, with each section corresponding to one of the percentage ranges in the table (20%, 21-40%, 41-60%, 61-80%, 81-100%).

4. For each section, draw a rectangle with a height that corresponds to the number of states in that range. For example, for the 81-100% section, the rectangle should have a height of 25.

5. Label each rectangle with the corresponding percentage range.

The final result should be a histogram that shows the percentage of high school graduates who took a national test in 2016 among the 50 states and the District of Columbia.

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The amount must Lance Industries pay into the fund each period is $2,054.49

Define Sinking Funds

A fund set aside to cover a certain future expense is known as a sinking fund. The sinking fund can be thought of as an annuity if equal contributions are made on a regular basis; its value will rise until it is sufficient to pay the future expense.

Given,

Lance Industries borrowed = $130,000

Time = 18 years

Interest rate = 6%

The future value is,

FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )

PMT = payment fund semiannually.

i = 6% or 0.06

m = 2  (semiannually will be 2 times per year)

n = 18 * 2 = 36 periods

FV₃₆ = $130,000

Now, plug in the values in formula

FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )

130,000 = PMT ( (1 + 0.06/2)³⁶ - 1 ) / (0.06/2) )

130,000 = PMT ( (1.03)³⁶ - 1 ) / (0.03) )

PMT = 130,000 * ( 0.03 / (1.03)³⁶ - 1 ) )

        = $2,054.49

Hence, the amount must Lance Industries pay into the fund each period is $2,054.49.

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The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of pizzas be x₁ = 2

Let the cost of 2 pizzas be y₁ = $ 25

So , the first point A ( x₁ , y₁ ) = A ( 2 , 25 )

Now ,

Let the number of pizzas be x₂ = 5

Let the cost of 5 pizzas be y₂ = $ 58

So , the second point B ( x₂ , y₂ ) = B ( 5 , 58 )

Therefore , the slope of the 2 points is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 58 - 25 ) / ( 5 - 2 )

Slope m = 33 / 3

Slope m = 11

Therefore , the equation of the line is given by

y - y₁ = m ( x - x₁ )

Substitute the value of m in the equation , we get

y - 25 = 11 ( x - 2 )

y - 25 = 11x - 22

Adding 25 on both sides of the equation , we get

y = 11x + 3

So , the equation of line is y = 11x + 3

Now , the customer pays $ 80 , so to find the number of pizzas the customer gets can be calculated by substituting the value of y = 80

And ,

y = 11x + 3

80 = 11x + 3

Subtracting 3 on both sides of the equation , we get

11x = 77

Divide by 11 on both sides of the equation , we get

x = 7 pizzas

Therefore , the number of pizzas is 7 pizzas

Hence ,

The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas

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Exponential smoothing of time collection records assigns exponentially lowering weights for latest to oldest observations.

In different words, the older the records, the much less priority (“weight”) the records is given; more moderns records is visible as extra applicable and is assigned extra weight. Smoothing parameters (smoothing constants),denoted through α,  decide the weights for observations.

The simple formulation is:

St = ayt-1 + (1 - a) S-1

Where:

α = the smoothing constant, a fee from zero to 1. When α is near zero, smoothing takes place extra slowly. Following this, the satisfactory fee for α is the only that outcomes withinside the smallest suggest squared error (MSE).and t = time period.

One of the blessings of Exponential smoothing is ,the forecast may be built the use of most effective 3 values.

Only 3 portions of records are required for exponential smoothing methods.

1. It  desires the forecast for the maximum latest time period.

2. It desires the real fee for that point period.

3. It desires the fee of the smoothing constant, a weighting thing that displays the load given to the maximum latest records values.

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The required simplified value of the x is given as 5.

Given that,
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x  + 5 = 180
5x = 175
x = 35

Thus, the required simplified value of the x is given as 5.

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The total amount to be repaid by Neema will be $4135.50

It was illustrated that Neema bought appliances that cost $3805 at an interest charge of 5% and she will pay back in two years.

Since there is a $500 down payment, the remaining amount will be:

= $3805 - $500

= $3305

Therefore, the interest will be:

= PRT

= $3305 × 5% × 2

= $330.50

Therefore, total amount will be:

= $3305 + $500 + $330.50

= $4135.50

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Answer: the first one is 30 ml

The equation of the line parallel to y = 6 and passing through (-1, 8) is y = 8.

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given that, an equation of the line that passes through (-1, 8) and is parallel to the line y = 6.

Slope of the parallel lines are equal to each other, therefore, solving for c,

8 = -1x0 + c

c = 8

Hence, The equation of the line parallel to y = 6 and passing through (-1, 8) is y = 8.

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Answer:1/12

Step-by-step explanation:

(a) SST = 1772,   SSR= 1420.79,  SSE=353.05

(b) Coefficient of determination is 0.8018.

(c) Sample correlation coefficient is 0.8954.

The average score can be obtained as

y = ∑y / n

  = 330 / 6

y = 55

The least-square regression line is given as:

y' = 23.221 + 0.318x

Using the above stated regression equation; the predicted values of overall score can be obtained for the given values of price.

y' = 23.321 + 0.318(170) = 77.281

(a) The formula for computing SST is given as:

SST = ∑ (yi - y)²

SST = 1772

Hence the value of SST is 1772.

The formula for computing SSR is given as:

SSR = ∑ (yi' - y)²

SSR = 1420.79

Hence the value of SSR is 1420.79.

The formula for computing SSE is given as:

SSE = ∑(yi - y')²

SSE = 353.05

(b) The coefficient of determination is given by the formula:

R² = [tex]\frac{SSR}{SST}[/tex]

   = [tex]\frac{1420.79}{1772}[/tex]

R²= 0.8954

Hence the value of the coefficient of determination is 0.8018.

(c) The correlation coefficient is computed as:

r = [tex]\sqrt{R^{2} }[/tex]

 = [tex]\sqrt{0.8018}[/tex]

r = 0.8954

Hence the value of the correlation coefficient is 0.8954.

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Sampling distribution of mean, Sampling distribution of proportion and T-distribution.

An example of a sampling distribution is a probability distribution of a statistic that is derived by repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.

When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may conduct many polls rather than asking 1000 cat owners which cat food they prefer.

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Answer:

μ = 150

σ = 18

n = 35

μx¯ = 150

σx¯ = 3.04

Step-by-step explanation:

We are given population mean μ=150 and population standard deviation σ=18, and want to find the mean and standard error of the sampling distribution, μx¯ and σx¯ for samples of size n=36.

By the Central Limit Theorem, the means of the two distributions are the same:

μx¯=μ=150

To find the Standard Deviation of the sampling distribution, we divide the population standard deviation by the square root of the sample size:

σx¯=σn−−√=1835−−√≈3.04

A quasi-experiment with one treatment and one control group that measures the dependent variable only nonequivalent control group posttest only design.

The quasi experiment design is defined as the attempt to produce the cause and effect relationship by using different types of criteria except randomization

The dependent variable is the variable that the value of this variable affected by the other variables

The treatment is defined as the any independent variable that affected by the experimenters.

Here the quasi-experiment with one treatment and one control group that measures the dependent variable only once.

Therefore, this is a nonequivalent control group posttest only design

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Answer: 13 27 to 15 27 = 2 hours

15 27 to 16 00 = 33 mins

1600 to 16 12 = 12 mins

Total = 2hours + 33 mins + 12 mins = 2 hours 45 mins = 2.75 hours

Distance = Speed x time = 56 x 2.75 = 154 km

Answer: 154 km

Step-by-step explanation:

Answer:

I hope the best for you

Step-by-step explanation:

have a good day :)!!

The probability of passing if the minimum passing grade is 50 %. P(pass) is 0.000035 .

Given :

A quiz consists of 20 multiple - choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers .

Probability :

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Binomial problem with n = 20 and p = 1/6 , q = 5/6

50 % of 20  = 10

P ( x = 10 ) = C ( 20 , 10 ) ( 1/6 )^10 ( 5/6 )^10

= 184756 * ( 1/6 )^10 ( 5/6 )^10

= 0.000035

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Answer:

  -4, -6

Step-by-step explanation:

You want the constants that go into the binomial factors of x² -10x +24.

The binomial constants used in the factors must have ...

  a product of +24

  a sum of -10.

The positive product means the two factors have the same sign. The negative sum tells you both signs are negative. The negative answer choices are -2, -4, -6. The only pair with a sum of -10 and a product of +24 is -4 and -6.

  = (x -4)(x -6)

The length of the hypotenuse with legs 8 units and 6 units is 10 units and with leg 8 units and 15 units is 17 units. We calculate the length of a leg of the right triangle by using formula    [tex]h ^ {2} = p ^ {2} + b ^{2}[/tex]

If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The term "right angle" refers to angles in right triangles that are 90 degrees. The side opposite in a 90° angle is the hypotenuse. The hypotenuse is always the longest side. The sum of the other two inner angles is 90 degrees.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

length of legs = 8 units and 6 units

hypotenuse = [tex]\sqrt {8 ^ {2}+6 ^ {2}}[/tex] = 10 units

length of legs = 8 units and 15 units

hypotenuse = [tex]\sqrt {8 ^ {2}+15 ^ {2}}[/tex] = 17 units

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The angle with a positive sine and negative cosine among the options is [tex]\frac{3\pi }{4}[/tex]

What is an obtuse angle?

Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°: Zero angle is an angle measured equal to 0°: Complementary angles are angles whose measures have a sum equal to 90°:

All obtuse angles usually have positive sine and negative cosine.

Amongst all the options  [tex]\frac{3\pi }{4}[/tex] is the only obtuse angle . which if you convert to degrees

using π rad = 180 degrees, 3/4 x 180  you get  135°

In conclusion  [tex]\frac{3\pi }{4}[/tex] is the angle with a positive sine and negative cosine.

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Answer:

true

Step-by-step explanation:

the author compares the color of the water to the color of the sky. so that makes it figurative language.

hope this helps.