Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Find the probability of selecting 2 or more girls.

The slope of the line that cuts through the points (1, -5) and (3, 5) is equal to 2.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (5 - (-5))/(3 - 1)

Slope (m) = (5 + 5)/(2)

Slope (m) = 10/2

Slope (m) = 2.

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 2.

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Answer:

the cheeseburgers were purchased by micky

Answer: 1/343

Step-by-step explanation:

To multiply fractions, combine the numerators and denominators and simplify as shown below.

1/7 x 1/7 x 1/7 can be rewritten as:

(1x1x1)/(7x7x7)

Simplifying the numerator and denominator in the new equation, the result is 1/343.

Thus, 1/7 x 1/7 x 1/7 = 1/343.

I hope this helps!

Answer:

D. \(Rate = -\frac{49}{4}^{\circ} /\frac{7}{2}\ hr\)

Step-by-step explanation:

Given

\(T_1 =0^{\circ}\)

\(T_2 =-12\frac{1}{4}^{\circ}\)

\(Time = 3\frac{1}{2}\ hr\)

Required

Determine the change in temperature per hour

This is calculated as:

\(Rate = \frac{T_2 - T_1}{Time}\)

\(Rate = \frac{-12\frac{1}{4}^{\circ} - 0^{\circ}}{3\frac{1}{2}\ hr}\)

\(Rate = \frac{-12\frac{1}{4}^{\circ} }{3\frac{1}{2}\ hr}\)

Convert to improper fractions

\(Rate = \frac{-\frac{49}{4}^{\circ} }{\frac{7}{2}\ hr}\)

Express as:

\(Rate = -\frac{49}{4}^{\circ} /\frac{7}{2}\ hr\)

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The total amount in the compound interest account. 8000 is compounded semiannually at a rate of 11% for 22 years is $92371.97

The given parameters are:

Principal, P = 8000

Rate, r =11%

Time, t = 22 years

Semiannually means that n = 2.

The total amount in the compound interest account. 8000 is compounded semiannually at a rate of 11% for 22 years is then calculated as:

Amount = P + P *(1 + r/n)^nt

So, we have:

Amount = 8000 + 8000 * (1 + 11%/2)^(22 * 2)

Evaluate the expression

Amount = 92371.97

Hence, the total amount in the compound interest account. 8000 is compounded semiannually at a rate of 11% for 22 years is $92371.97

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Answer:

There will be three digits in the quotient.

Step-by-step explanation:

The answer would be 119. Hope this helped ^^✨

Answer:

a: y=70x

b: y=70x+100

c: They are parallel to each other, with equation b's line being 100 dollars above equation a.

Step-by-step explanation:

They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.

c)

Step-by-step explanation:

everybody use their cable difference so when you graph out the amount of cable which come with data the previous customers data and cable rates would be different then the new customers and the company should be able to tell that . but it still does happen today

Answer:

198.4 ounches is the real answer

The situation that describes two separate populations is given as follows:

The blood pressure of 20 people who exercise compared to the blood pressure of 20 people who do not exercise.

The population in an experiment refers to the entire group of individuals or objects that share one or more characteristics of interest and to whom the results of the experiment are intended to be generalized.

For example, in a medical experiment, the population might be all people who have a certain medical condition, while in a psychological experiment, the population might be all individuals who have a certain personality trait or psychological disorder.

Hence, if we are comparing the blood pressure of 20 people who exercise compared to the blood pressure of 20 people who do not exercise, the two separate populations are given as follows:

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Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Ans:8x-3y=27

Step-by-step explanation:

let,A,B be the line which have points (3,-1),(6,7)

here,

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

(6,7)=(x2,y2)

then,

slope of line AB =(y2-y1/x2-x1)

=(7+1/6-3)

=8/3

Now,

equation of the line AB,

(y-y1)=m(x-x1)

(y+1)=8/3(x-3)

3y+3=8x-24

-8x+3y=-24-3

-8x+3y=-27

-(8x-3y=27)

8x-3y=27

Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.

Answer:

Step-by-step explanation:

To find the average speed for the round trip, we can use the formula:

average speed = total distance / total time

We know that Steve drives 5 miles to school and 5 miles back home, so the total distance is:

total distance = 5 miles + 5 miles = 10 miles

To find the total time, we need to calculate the time it takes for Steve to drive to school and the time it takes for him to return home. We can use the formula:

time = distance / speed

For the first part of the trip, Steve drives 5 miles at 10 mph, so the time it takes is:

time to school = 5 miles / 10 mph = 0.5 hours

For the second part of the trip, Steve drives 5 miles at 40 mph, so the time it takes is:

time to home = 5 miles / 40 mph = 0.125 hours

The total time for the round trip is the sum of the time to school and the time to home:

total time = time to school + time to home

total time = 0.5 hours + 0.125 hours

total time = 0.625 hours

Now we can calculate the average speed using the formula:

average speed = total distance / total time

average speed = 10 miles / 0.625 hours

average speed = 16 miles per hour (rounded to the nearest integer)

Therefore, Steve's average speed for the round trip is 16 mph.

Answer:

16 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(10 + 5 - 6.10 + 6.5 \times 6 \\ \)

Follow PEDMAS

\(10 + 5 - 6.10 + 39\)

\(15 - 6.10 + 39 \\ 15 + 39 - 6.10 \\ 54 - 6.10 \\ = 47.9\)

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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Answer: 90$

Step-by-step explanation:  50% of 60 is 30 so 60+30=90

Answer:

1,664 fluid ounces = 13 gallons

Step-by-step explanation:

Answer:

the rate is 6.5 %

Step-by-step explanation:

As given

Phil bought 700 shares of a company’s stock for $9.29/share.

He pays a broker a commission of $18 to buy and sell stock.

After one year, he sold all his shares, which were worth $9.90/share at that time.

Cost price of the 700 shares of a company = 700 × Cost per share + Commission cost .

Cost price of the 700 shares of a company = 700 × 9.29 + 18

                                                                       = 6503 + 18

                                                                       = $ 6521

Selling st price of the 700 shares of a company = 700 × Cost per share + Commission cost .

Selling st price of the 700 shares of a company = 700 × 9.90 + 18

                                                                                 = 6930 + 18

                                                                                 = $ 6948

Rate of return = 6.5%

Therefore the rate of return is 6.5%

Answer: (-9, 3)

Step-by-step explanation:

This problem works best with substitution.

To do a system of equations with substitution, solve for the first variable in one of the equations, then substitute the result into the other equation.

Since the second equation already gives us what x is (-3y) we can easily substitute this into the first equation. (2x + 7y = 3)

---------------

\(\left \{ {{2x+7y=3} \atop {x=-3y}} \right.\)

\(2(-3y)+7y=3\)

\(-6y+7y=3\)

Combine the like terms.

\(y=3\)

----------------

Since we have y, we need to find x now.

Because we already used the first equation to find y, plug y into the SECOND equation.

\(x= -3(3)\\\)

\(x = -9\)

Done!

(-9, 3)

Answer:

Step-by-step explanation:

1/1. The answer is just one. If the answer is a number over itself such as, b/b then it is just b.

Answer:

sh.345

Step-by-step explanation:

The difference between the price selling with profit and price selling at a loss is 420-320 = 100

Profit is thrice the loss says we can take the difference in prices and divide it into 4 parts, x and 3x, representing the loss and thrice the loss, or profit margin.

x + 3x = 100

4x = 100

x = 25

loss would be 25,

profit would be 75

--------------------

sold at a profit: 420 -75 = sh.345

----------------

Does this exercise seem similar to what you're doing in class?

The required equation of conic section that shows eclipse is  \(\frac{(x-2)^2}{4^2} + \frac{(y-4)^2}{6^2}=1\).

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the standard equation of conic section,

\(\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1\)      (1)

From the given diagram,

The center of the eclipse is (2, 4),

Here h = 2, and k = 4

The length of minor axis 2a = 8 ⇒ a = 4

The length of major axis 2b = 12  ⇒ b = 6

Substitute the values of a, b and h, k in equation (1)

\(\frac{(x-2)^2}{4^2} + \frac{(y-4)^2}{6^2}=1\)

The required equation of the given conic section is \(\frac{(x-2)^2}{4^2} + \frac{(y-4)^2}{6^2}=1\).

The conic section represents the eclipse.

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The length of the second trial will be equal to 2(⁵/₈) miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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Step-by-step explanation:

y = 3x_______equation1

3x + 2y = 12_____equation2

sub y into equation 2

3x+2(3x)=12

3x+6x=12

9x=12

x=3/4

sub X into equation 1

y=3x

y=3(3/4)

y=9/4

y=9/4 x=3/4

I hope this helps

The program is an illustration of loops.

Loops are used to perform iterative and repetitive operations.

The program where comments are used to explain each line is as follows:

public class MyProgram extends ConsoleProgram {

   public void run()     {

//This prompts the user for the number of times to repeat the message

       echo("Anybody home?", readInt("Times to repeat: "));

   }

    private void echo(String lineOne, String lineTwo, int numTimes)     {

//The following iteration is repeated numTimes times

       for (int i = 0; i < numTimes; i++){

//This prints lineOne

       System.out.println(lineOne);

//This prints lineTwo

       System.out.println(lineTwo);

       }

   }

}

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Here is the answer above. Click to view

Answer:

bueh

Step-by-step explanation: