For a family with 3 children, what is the probability that they have exactly 2 boys and 1 girl?

Answer:

No

Step-by-step explanation:

The slopes of perpendicular lines must always be the negative reciprocal of each other. If one slope is negative, for the other to be perpendicular to it, it must be positive, and vise versa.

Answer:

No

Step-by-step explanation:

Interesting question. Subtle.

The formula for two lines to be perpendicular is m1 * m1 = -1 That means that two lines cannot be minus -- only 1 of them can be. The reason is that if both were minus when multiplied together would give a positive result -- not minus one. For example, suppose you have

y = x + 2  

y = 2x + 3.

These 2 lines will cross and they are not parallel, but neither are they perpendicular. I'm not going to solve this to find out where they cross -- that's not what you are asking.

Now suppose you have two other lines

y = - 2x + 3

y = 1/2 x + 1

These two lines should be perpendicular

-2 * 1/2 =  - 1 which is the condition of perpendicular.

Separate graphs have been uploaded to help you understand.

Answer:

J)  924 cm²

Step-by-step explanation:

the shaded area represents a trapezoid and the formula for area is:

1/2 x height x (sum of parallel bases)

A = 1/2(24)(35+42)

A = 12(77)

A = 924

To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.

The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).

The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).

Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.

Learn more about Graphs here:

https://brainly.com/question/28827536

#SPJ4

Fuel consumption is 53.957 miles per gallon for a car moving at  a speed of 60 miles per hour using least square Regression .

A statistical word for models that evaluate the connections between variables is regression. A single dependent variable Y and one or more independent variables X are studied using a linear regression model.

A technique for employing a goodness-of-fit criterion to fit a curve—not necessarily a straight line—through a collection of points. Regression that is most frequently used is linear regression. Recursion is occasionally used interchangeably with the word regression.

Y = mX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, is the formula for simple linear regression.

Calculation of Fuel Consumption in 60 miles per hour.

given the least square regression line is

y = 55.3286 - 0.02286x

so, y = 55.3286 - 0.02286 * 60 = 53.957 miles per gallon.

To learn more about Regression refer to :

https://brainly.com/question/25151187

#SPJ4

If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.

The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

The age of your uncle is modeled by:

y = 2 + 3*x

Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.

Let's define the variables: y as your uncle's age and x as your age.

Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:

y = 2 + 3*x

This is the equation we needed to find.

b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:

y = 2 + 3*12

y = 2 + 36

y = 38

That's the age of your uncle.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer: B

Step-by-step explanation: To get the boys part of the ratio you will have to subtract 30 students and 14 students that are girls because all together there are 30 students and since we only know that 14 of them are girls that leaves the rest of the students boys. 30 - 14 = 16  so now we know how many boys there are. 16:14 can be reduced by 2 and that equals to 8:7.

Hope this helps!

The ratio of boys to girls is equal to: B. 8 :7

Given the following data:

To calculate the ratio of boys to girls:

First of all, we would determine the number of boys in the art class by subtracting the number of girl students from the total number of students in this class.

[tex]Total \;students = boys + girls\\\\30=boys + 14\\\\Boys =30-14[/tex]

Boys = 16 students.

For the ratio:

[tex]B:G=16:14[/tex]

Dividing by 2, we have:

[tex]B:G=8:7[/tex]

Read more on ratio here: https://brainly.com/question/13513438

Answer:

no

Step-by-step explanation:

Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.

Coefficient definition.

A number or symbol that multiplies another number or symbol is referred to as a "coefficient" (used as a mathematical variable).

Give a co-efficient example in writing.

A coefficient is a result of multiplying an amount by a variable. 6z, for instance, is short for six times z. 6 is a coefficient since z is a variable. The coefficient is one for variables that don't have a value.

Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.

The expression's coefficient is the term multiplied by x³. Since x³ is not a word, the answer is 1.

To learn more about co-efficient visit the link:

brainly.com/question/1038771

#SPJ4

The full question should be:

What is the coefficient form of X³ 2 *?

Answer:

11/25

Step-by-step explanation:

total number of students to selet from is 6+11+8=25

number of seventh graders is 11

=11/25

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.

Answer:

9.3%

Step-by-step explanation:

Given data

Principal=$11200

Futute value= $14345

Time= 3years

The simple interest expression is given as

A=P(1+rt)

substitute

14345=11200 (1+r*3)

14345=11200+r33600

14345-11200=r33600

3145=r33600

r= 3145/33600

r=0.093

Hence the rate is 9.3%

Answer: 3 times 4 times 3

Step-by-step explanation:

Answer:

6 x 3 x 2 = 36

Step-by-step explanation:

Answer:

y-3x=-1

2x+y-(y-3x)=4-(-1)

2x+y-y+3x.=4+1

5x =5

x=1

y=(3×1)-1,

y=3-1

y=2

Answer:

OPTION A ,YES

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

13 cents / ounce

Step-by-step explanation:

$4.16÷32= $0.13 cents/ounce.

Answer:

Circle.among all shapes with the same area, a circle has the shortest perimeter

Here is your answer :

Answer 1 :

Volume of the Cylinder = πr²h

Therefore, The Volume of the Cylinder is 50.27 Feet

By Rounding, 50 Units/Feet

Answer 2 :

So, volume is always cubed since you have l x w x h.

A cubic ft is 12 in x 12 in x 12 in = 1728 in3.

35328.78/1728 = 20.44  

20.44 x 7.48 = 152.89

About 153 gallons

HOPE IT HELPS

The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.

Every digit in a number has it's own place value. Place value is the position of a digit in a number.

For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.

Given the number 33,291.

Place value of 1 = 1

Place value of 9 = 90

Place value of 2 = 200

Place value of 3 in thousands place = 3000

Place value of 3 in ten thousands place = 30,000 = 3000 × 10

That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.

Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.

Learn more about Place Values here :

https://brainly.com/question/27734142

#SPJ1

Answer:

The numbers are being divided by 2 each time.

240/2 = 120

120/2 = 60

So the next set of numbers would be:

30, 15 because

60/2 = 30

30/2 = 15

Step-by-step explanation:

Hope it helps!

The proportion equation for c in terms of j is written as c = 0.9j

In order to find the proportional equation for c in terms of j that matches the context, what you would have to do would be to divide 9.90 dollars by 11 bottles of pineapple juice.

This would tell us the price that one of the bottles of juice is been sold for.

Hence we would have

9.90 / 11

= 0.9

Hence the equation would be: c = 0.9j

Read more on proportional equations here: https://brainly.com/question/24868934

#SPJ1

Answer:

11.7

Step-by-step explanation:

use the distance formula known as pythagorem theorem and plug in the x and y values.

Answer:

join the meet /vwd-cfbx-dtk

Answer:

check: 2,3,5,8

Step-by-step explanation:

Answer:

B) 8 sec

Step-by-step explanation:

So, your answer will be 8, you are right!!

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

hope it helps....

have a great day!!

The percentage error is 16%

We know that the formula for the percentage error.

E = (absolute error / actual value) × 100

The formula for the absolute error is:

A = |actual value - experimental value|

A = |V1 - V2|

where V1 is the actual value

V2 is the experimental value

E is the percentage error

A is the absolute error

In this question, the experimental calculation of the specific heat of aluminum = 156 cal/g °C

And the actual specific heat of aluminum = 185 cal/g °C

Using above formula of absolute error,

A = |185 - 156|

A = 29 cal/g °C

And the percent error would be,

E = (absolute error / actual value) × 100

E = (29 / 185) × 100

E = 0.16 × 100

E = 16%

Learn more about the percentage error here:

brainly.com/question/17207115

#SPJ4

Answer:

7) perpendicular

8) perpendicular

Step-by-step explanation:

If the equations are in the form:

y = mx + b

(they all are in this form in these questions)

the m, the number in front of the x, is the slope.

If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.

You can also do a quick check by, if the m values are multiplied together you should get -1.

1/3 • - 3 = -1

1 • -1 = -1

1/3 and -3 have opposite signs and are reciprocals (flipped over)

1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.

Answer:

£10 pounds

Step-by-step explanation:

135+70+35 = 240 pounds between all 3

3:2:1 ratio means 6x represents all of them

6x=240

x=£40 each 1

3(40) =  £120 Sarah

2(40) = £80  Gemma

1(40+ = £40  Beth

Gemma received 10 pounds.