In a sale, the price of a computer is reduced by $124. The sale price is $1,394. Find the marked price (original price) and the rate of the discount. Round the discount rate to the nearest tenth of a percent if necessary. A. $1,270; 8. 9% c. $1,518; 8. 9% b. $1,270; 9. 79% d. $1,518; 8. 2%.

The rate at which the water level in the cylindrical tank rises is 0.25 m/min. This is because the volume of water in the conical tank is equal to the volume of water in the cylindrical tank when the water level in the conical tank is 3 m.

First, calculate the volume of the conical tank when the water level is 3 m. The formula for the volume of a cone is V = 1/3πr2h, where r is the radius and h is the height. In this case, r = 4 m and h = 3 m, so the volume of the conical tank is V = 1/3π(4 m)2(3 m) = 16π m3.

Next, calculate the volume of the cylindrical tank. In this case, r = 4 m and h = 5 m, so the volume of the cylindrical tank is V = π(4 m)2(5 m) = 80π m3.

Finally, calculate the rate at which the water level in the cylindrical tank must rise in order to keep the total volume of water constant. Since the volume of the conical tank is 16π m3 and the volume of the cylindrical tank is 80π m3, the total volume of water is 96π m3. Since the water level in the con

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Probability of choosing two buttons each from the Jar a and Jar b is equal to ( 3/ 4).

As given in the question,

Number of red buttons in Jar a = 4

Number of blue buttons in Jar a = 8

Total buttons in Jar a = 12

After removing equal number of red and blue buttons from Jar a

Number of buttons left in Jar a = ( 2/ 3) × 12

                                                   = 8 buttons

total number of buttons in Jar b = 4

Both the buttons are equal

Number of red buttons in Jar b = 2

Number of blue buttons in Jar b = 2

Probability of choosing a red button from each Jar

= (²C₁ / ⁸C₁) + ( ²C₁ / ⁴C₁ )

= ( 2 / 8) + ( 2 / 4)

= ( 1/ 4) + ( 1/ 2)

= 3 / 4

Therefore, the probability of getting total two red buttons one from each Jar is equal to ( 3 /4).

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The probability that a randomly chosen return shows an adjusted gross income of $50,000 or more is 33.2%.

For mutually exclusive events, use the following addition rule:

        P(A or B) = P(A) +P(B)

The corresponding probabilities is :

   P( income > $50000) = P( >50)

= P(50 - 90) +P( 100 - 499) +P( ≥ 500)

= 0.215 + 0.100 +0.006

= 0.321

Therefore, the probability of a random selection returning is

P( income > 50000) = 0.321

Now ,

P( income ≥ 50000 and ≥ 100000 ) = P( > 100000)

= 0.100 + 0.006

= 0.106

The Probability Condition is:

   P(A/B) = P(A and B) / P(B)

Therefore,

P( ≥ $100000 / $ $50000)

=   P( ≥ $100000 and $ $50000)/ P( ≥ $50000)

= 0.106/ 0.321

≈ 0.3302

= 33.2%

Therefore, the conditional probability of earning at least $50000 and more is 33.2%

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Using the elimination method we got the value of x as 3 and the value of y as -4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

-7x - 2y = -13

  x - 2y = 11  

(-)   (+)     (-)

-7x - x = = -13 - 11

-8x = -24

x = 3

Now,

x - 2y = 11

3 - 2y = 11

3 - 11 = 2y

2y = -8

y = -4

Thus,

The value of x is 3.

The value of y is -4.

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Answer:

D.

Step-by-step explanation:

The sum of the length of any 2 sides is greater than the length of any 3rd side

10+8 = 18, so D is not possible

Answer:

11%=528

8%=384

Step-by-step explanation:

4800×11÷100

4800×8÷100

The level of production explains 49% of the variation in total costs

What is a regression equation?

For evaluating the associations between a dependent variable and one or more independent variables, a regression equation is a set of statistical procedures.

Here, we have

Given,

A regression equation is set up, where the dependent variable is total costs and the independent variable is production. a correlation coefficient of 0.70.

The coefficient of determination is given as r²

which is 0.7²=0.49.

Hence, the level of production explains 49% of the variation in total costs.

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Complete Question.
A regression equation is set up, where the dependent variable is total costs and the independent variable is production. A correlation coefficient of 0.70 implies that:
A. The coefficient of determination is negative
B. The level of production explains 49% of the variation in total costs
C. There is a slightly inverse relationship between production and total costs
D. A correlation coefficient of 1.30 would produce a regression line with better fit to the data

Answer:

22.35 i think

Step-by-step explanation:

you have to turn 15 into a decimal and then multiply by 149 correct me if Im wrong! hope that helps though.

The mechanical advantage of the wheel and axle is 4

The mechanical advantage of the wheel and axle is determined by the ratio of the radii of the wheel and axle. This ratio is equal to the ratio of the circumference of the wheel to the circumference of the axle. Thus, if the radius of the wheel is twice the radius of the axle, the mechanical advantage of the wheel and axle is 2:1.Here we are given that  The radius of the wheel and axle is 4 times the radius of the axle. So considering x to be  the radius of the axle and 4x to be the radius of  the wheel .So, MA( mechanical advantage )= 4x/x= 4

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Answer:

h = [tex]\frac{2A}{b}[/tex]

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( isolate h by dividing both sides by b )

[tex]\frac{2A}{b}[/tex] = h

Hi!

Find formula for plan A and plan B

plan A

y intercept 16

slope 0.18

y = m(slope)x+b(y-intercept)

y = 0.18x+16

plan B

y intercept 28

slope 0.14

y = 0.14x+28

find x value when these intersect

0.14x + 28 = 0.18x + 16

solve for x

28 = 0.04x + 16

12 = 0.04x

12/0.04 = x

x = 300

they are the same price at x = 300

to find price, plug it into any of the equations (they are equal there so theyre the same)

y = (0.14)(300)+28

y= $70

verify if the y is the same in the other equation to make sure correct

y = (0.18)(300)+16

$70

true

If you need any more explanation, just ask me.

If I helped you understand, consider marking brainliest.

- Jeron

Answer:

the answer is $70

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

If you guess at random on all questions.

a) The expected value (ev) of the number of correct answers on your test is 4. So, correct answer is option (D)

b) The standard deviations of the number of correct answers on your test is 2.19.. So, the correct option is option (A).

The total number of multiple choice questions in test n = 30

Each question has 5 choices, that is one is right answer from five options. If I guess at random on all the questions. Let X be a random variable for guessing a answer.

Probability that guess answer is correct, p(success) = 1/5 = 0.2

Probability that guess answer is incorrect q(failure) = 1- p = 1-0.20 = 0.80

Using Binomial probability distribution,

X~bin(30,0.2)

a) In binomial Probability distribution, the excerpted value is E(X) = np

=> E(X)= 30× 0.2 = 6

hence, option(C) 10.75 is correct.

b) In binomial Probability distribution, the variance of distribution is product of n,p,q. So,

Var(X) = npq

=> Var(X)= 30(0.2)(0.8)

=> Var(X)= 4.8

Standard deviation= √4.8 = 2.19

Hence, the standard deviations or standard error is 2.19 ..

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Answer:

Step-by-step explanation: Plug coordinates into y=ax+b

Simultaneous equations

-6=5a+b

-2=-5a+b

So y=-0.4x-4

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Answer:You cannot, it is as simplified as it gets

Step-by-step explanation:

Answer:

The slope of the perpendicular line is 5/4

Answer:

6

Step-by-step explanation:

First we take them amount of times jogged around the block as b and the amount of times jogged around the park as p

so 2b + p can be done in 10 minutes

and 2b + 3p can be done in 22 minutes

2b+3p = 22

2b+p =10

if we subtract the equations:

-2p = -12

p = 6 so it takes 6 minutes to jog around the park

Answer:

86

Step-by-step explanation:

2[2+(2x2x2x2x2]                                                                                                                                                                                                                                

2(2 + 32)

2(43)

86

When conducting a significance test to determine if there is a difference between two treatments, with a quantitative response variable, treatments are given to different experimental units, we summarize the data by: Calculate the mean and standard deviation for each treatment group separately.

To calculate the sample variance when the population mean is unknown.

The uncorrected sample variance is the average squared deviation of the sample values ​​from the sample mean.

The sampling procedure should be unbiased so that the calculation of the proportion of samples responding only to treatment introduces bias.

The two treatment groups should be separate.

Random sampling is intended to provide an unbiased representation of a larger population.

Selecting a sample from a population larger than is considered fair practice (because each member of the population is equally likely to be selected).

Now we need to calculate the mean and standard deviation for each treatment group separately to eliminate the effects of false observations.

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular data set, often to better understand the overall value (magnitude and sign) of a particular data set.

Mean:

For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values ​​divided by the number of values. .The arithmetic mean of a sequence of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar x  The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the mean of the population μₓ.

Standard Deviation:

In statistics, standard deviation is a measure of the variability or variance of a set of values.  A low standard deviation indicates that the values ​​tend to be closer to the mean (also called mean) of the set, while a high standard deviation indicates that the values ​​are more spread out.

Standard deviation, sometimes abbreviated SD, is the lowercase Greek letter σ (sigma) for population standard deviation or the Latin letter s for sample standard deviation, most commonly used in mathematical texts and equations. is represented

Therefore, the correct statement is to calculate the mean and standard deviation for each treatment group separately.

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The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.

A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form.

The trajectory of a plane to a point equal in distance from the fixed time is called as parabola. The fixed point is called the focal point of the parabola and the line is called the alignment of the parabola.

Therefore, The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.

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We know that 35 ≤ x ≤ 41 is typing speed of Nadia using inequality.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.

It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

So, Nadia can type 38 words per minute with her typical typing speed.

She has a 3-word per minute range for her typing speed.

Thus, either 38+3=41 or 38-3=35 words per minute will be typed.

Given that 38+3=41 is the actual typing speed in this case, the inequality will be:
35 ≤ x ≤ 41

Therefore, we know that 35 ≤ x ≤ 41 is typing speed Nadia using inequality.

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there were 1500 kids and 700 adults.

What exactly are linear equations with two variables?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a ton of these equations. Solution: It is possible to write 2x + 3y = 4.37 as 2x + 3y - 4.37 = 0.

Write the following two equations first, setting c = children and a = adults:

c + a = 2200

1.50 ( c ) + 4.00 ( a ) = 5050

Use substitution now, explains the explanation

c = 2200 − a \s 1.50 ( 2200 − a ) + 4.00 ( a ) = 5050

Reduce complexity: 2.5 a = 1750 a = 700

Using the first formula, c = 2200 a = 2200 700 = 1500

In conclusion, there were 1500 kids and 700 adults.

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The probability of not getting a five as the sum of the two dice is 1/9.

Roll of Dice:

To roll means to take risks. Take risks in hopes of a lucky outcome or victory. As a noun, dice roll is the case for "rolling dice".

According to the Question:

To find the probability, divide the number of successful outcomes by the total number of possible outcomes.

Each dice has 6 combinations that are independent of each other. So the number of possible outcomes is 6*6 = 36.

The probability of rolling two dice and getting a total of 5 is 4/36 = 1/9.

The probability of getting a sum of 5 is

Therefore, the combinations are:

(4 , 1),(1 , 4),(2, 3) and (3 , 2)

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Answer:

-8/5

Step-by-step explanation:

hope it helps!

Before hitting the ground, the final velocity of the pine cone after falling for 2.5s will be 20.5 m/s.

        (a) → v = u + at

        (b) → S = ut + 1/2at²

        (c) → v² - u² = 2aS

Given is a pine cone falls for 2.05 s.

Assume the final velocity be [v] m/s. Using the first equation of motion -

v = u + at

Now -

[u] = 0

[a] = g

So, we can write -

v = gt

v = 10 x 2.05

v = 20.5 m/s

Therefore, the final velocity of the pine cone will be 20.5 m/s.

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Given, the pair of rational integers is 0.3 and 0.25 and the other two are 0.833 and 0.9 neither of the given rational numbers are not equivalent. To find whether any given pair is equivalent or not we use LCM.

LCM is the value that can divide both of the given numbers evenly. To find the LCM we employ the prime-factorization method.

Firstly start dividing the given integer with the smallest prime number first then repeat the division process until the quotient equals 1. To find the LCM multiply the highest powers of each prime factor.

Now, first pair is  3/10 and 25/100. LCM is 100.

3/10*10/10 = 30/100

and 25/100 = 25/100

Both 30/100 and 25/100 are not equivalent.

Next pair is 833/1000 and 9/10

LCM of 1000 and 10 is 1000

833/1000

and 9/10*100/100 = 900/1000

833/1000 and 900/1000 are not equivalent.

Therefore both the pair of rational numbers are not equivalent

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If a collection of nickels and dimes are 15 and valued at $1 the system of equation is

The number of dimes and nickels are 5 and 10 respectively

The equation to represent the information is written bearing in mind that

10 dimes  = 1 dollar = 20 nickels

let the dimes be d and the nickels be n

d + n = 15

0.1d + 0.05n = 1

solving simultaneously gives

d = 5

n = 10

There are 10 5 dimes and 10 nickels

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Answer:

19

Step-by-step explanation:

first solve for the missing value in the first expression:

x + 6 = 22

   -6     -6

x = 16

Now solve the second expression with the found missing value

x + 3 = _

16 + 3 = 19

The length of the side e would be e = 9√3 and the length of the side d would be d = 18.

What is the 30-60-90 rule of the triangle?

If the angles of the triangle are 30, 60, and 90 degrees then we can say that the given triangle will follow the rule of 30-60-90.

The rule says:

           Side opposite to 30 = 1/2 *  Hypotenuse

           Side opposite to 60 = √3/2 * Hypotenuse

In the given triangle, we can apply the 30-60-90 triangle rule, and we get

        Side opposite to 30 = 1/2 * Hypotenuse

                     9 = 1/2 * d

                      d = 18

Now let's find the side 'e'

                   Side opposite to 60 = √3/2 * Hypotenuse

                            e =  √3/2 * 18

                            e = 9√3

Hence, the length of the side e would be e = 9√3 and the length of the side d would be d = 18.

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