There are three children in the McComb family. Which sample space represents the gender order, M (Male) or F(Female), in which the children could have been born?

Answer:

3x(x-2)

Step-by-step explanation:

1. find out the common factor in each components which is 3x

2. done.

Answer:

4/3 servings or her dish can be made

These are the 2 equations:

Total = 5 and 1/8 pounds + 6 pounds + 4 and 7/8 pounds

N = Total / 10

Step-by-step explanation:

We know 1 serving = 12 pounds

We want the number of servings able to make. call it N

N =  (Total pounds)/ (12 pounds/serving)

P = pasta per serving

S = sauce per serving

O= onions per serving

It appears that  

P*N = 5 and 1/8 pounds

S*N = 6 pounds

O*N  = 4 and 7/8 pounds

5 and 1/8 + 6 + 4 and 7/8 = Total

16 pounds total.

N = 16/12 = 4/3 servings

Total = 5 and 1/8 pounds + 6 pounds + 4 and 7/8 pounds

N = Total / 10

Answer:d

Step-by-step explanation: just factor it out

The factorisation of the given polynomial is (x+2)(2x+3). Therefore, option D is the correct answer.

The given polynomial is 2x²+ 7x + 6.

We need to factorise the given polynomial.

In order to factorise a quadratic algebraic expression in the form ax² + bx + c into double brackets:

Now, 2x²+ 7x + 6=2x²+ 4x +3x+ 6

=2x(x+2)+3(x+2)

=(x+2)(2x+3)

Therefore, option D is the correct answer.

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Answer:

18.75 meters

Step-by-step explanation:

Final answer:

To find 15 meters increased by 25%, multiply 15 by 0.25 to get 3.75 meters, then add this to the original length to obtain 18.75 meters.

Explanation:

To calculate a 15 meters increase by 25%, first determine what 25% of 15 meters is. You do this by multiplying 15 by the percentage in decimal form (25% = 0.25), so: 15 meters * 0.25 = 3.75 meters. Then, to find the new length, you add this to the original 15 meters to get the total.

15 meters + 3.75 meters = 18.75 meters. Therefore, 15 meters increased by 25% is 18.75 meters.

Step-by-step explanation:

Convert the percentage increase to a decimal: 25% → 0.25.

Multiply the original length by this decimal: 15 meters * 0.25 = 3.75 meters.

Add the increase to the original length: 15 meters + 3.75 meters = 18.75 meters.

Answer:

30 units

Step-by-step explanation:

In order to find the side lengths, you can either draw it out, or imagine it in your head. I would recommend drawing it if you're unfamiliar to the topic.

So when you draw it out, you see that AB is the width of the rectangle, and BC is the length.

In order to calculate it, you'd have to keep in mind which direction each line goes. Since AB is horizontal, we would use the x coordinates to find the length. [tex]x_{1}[/tex]-[tex]x_{2}[/tex] is the formula, where A is [tex]x_{2}[/tex], since it is farther left.

width = 2 - (-3)

w = 5

Now, you'd do the same thing, but with BC, and [tex]y_{1}[/tex]-[tex]y_{2}[/tex]. In this case, B is [tex]y_{1}[/tex], since it is further up.

length = 2 - (-4)

l = 6

Now, multiply them to find the area of a rectangle.

5 x 6 = 30

I hope this helps!

Answer:

23 1/4

Step-by-step explanation:

Answer:

m=66

Step-by-step explanation:

Answer:

m=66

Step-by-step explanation:

Answer:

The probability is 1/254,251,200

Step-by-step explanation:

We proceed as follows;

Firstly, we are selecting 5 state capitals out of 50. The number of ways we can do this is 50P5 = 50!/5!(50-5)! = 254,251,200 ways

Now, out of this number of ways , only one route is desired in that particular order.

This means the probability of having the route scheduled in that particular order would be;

1/254,251,200

Answer:

0.000000003933

Step-by-step explanation:

As the candidate will visit the capitals of 5 of the 50 states, the probability of each capital being selected is 1/50.

As we want a probability of 5 specific capitals in a specific order, we can calculate the probability of each capital being chosed:

First city being Sacramento: Probability of 1/50

Second city being Albany: Probability of 1/49 (as the first city is not available now)

Third city being Juneau: Probability of 1/48

Fourth city being Hartford: Probability of 1/47

Fifth city being Bismarck: Probability of 1/46

So the final probability is 1/(50*49*48*47*46) = 0.000000003933

Answer:

d

Step-by-step explanation:

D. Rational number, 0.375

I Got it Right

Hope i Helped ❤

Answer:

Therefore, the number of bundles to be bought is 22 bundles

Step-by-step explanation:

Here we have;

Dimensions of roof

Square pyramid = 4 triangular sides

Base length of triangle = Length of gutter on one side = 18 ft

Height of triangle = Length from the gutter on one side to the top of the roof = 15 ft

∴ Area of one of the four triangles = 0.5 × Base × Height = 0.5 × 15 × 18 = 135 ft²

Total area of four sides of the pyramid = 4 × Area of one of the four triangles

∴ Total area of four sides of the pyramid = 4 × 135 ft² = 540 ft²

Area covered by one bundle of shingle = 25 ft²/bundle

Therefore number of bundles of shingles required = [tex]\frac{Total \, area \ of \, four \ sides \ of \ the \ pyramid}{Area \ covered \ by \ one \ bundle \ of \ shingle} = \frac{540 \ ft^2}{25 \ ft^2/bundle} = 21.6 \ bundles \approx 22 \ bundles[/tex]

Therefore, the number of bundles to be bought = 22 bundles.

Answer:

Statistics

Step-by-step explanation:

Statistics is the science of collecting and analysing numerical data in large quantities from a sample.

Answer:

1/1 x 1/2 x 1/2 = 1/4

One times One-Half times One-Half Equals One-Fourth

The Probability is 1/4 or One-Fourth.

Step-by-step explanation:

There is a One-Half possibility on two of them for choosing D.

Multiply that by each other and than by 1.

Answer:

A/b = Area/base

Step-by-step explanation:

1)If area of the parallelogram has been given :

Area of a parallelogram = bxh

Area of a parallelogram/b = h

2) And if the measure of the sides is given then use Pythagoras theorem to find the height

Hope this will help u mate

Answer:

-5

Step-by-step explanation:

6c + 14 = -5c + 4 + 9c

6c + 14 = 4c + 4

- 4. - 4

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

6c + 10 = 4c

- 6c - 6c

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

10 = -2c

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

-2. -2

C = -5

Answer:

-5 = c

Step-by-step explanation:

Step 1

6c + 14 = -5c + 4 + 9c

subtract 4 to the other side, then subtract 6c to the opposing side

ex: 14-4 = -5c -6c +9c

then combined..   10= -2c

Step 2

divide -2 from 10 to solve for c.

ex: 10/-2 = c

solve... -5 = c

Answer:

8 units

Step-by-step explanation:

did the assignment

Answer:

8

Step-by-step explanation:

Answer: A = $1503.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 6% = 6/100 = 0.06

n = 1 because it was compounded once in a year.

t = 7 years

Therefore,.

A = 1000(1 + 0.06/1)^1 × 7

A = 1000(1.06)^7

A = $1503.6

Answer:

Tan x = 125/500= 0.25

so x = arctan (0.25)

=14 degree

The measure of the diving angle is 14°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sea level and 500 ft are parallel.

This means,

x° and end drive angles are alternate angles.

So,

tan x = 125/500

tan x = 0.25

x = [tex]tan^{-1}[/tex] (0.25)

x = 14°

Thus,

The measure of the diving angle is 14°.

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Answer:

AA BB CC DD EE FF GG HH II JJ KK LL MM NN OO PP QQ RR TT UU VV WW XX YY ZZ

Step-by-step explanation:

Answer:

height goes on the  x–axis and, arm span goes on the y-axis, and the order pair is (30,27)

Step-by-step explanation:

For given equation x^2+6x-15=0, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]

The "solutions" of an equation are referred to as the roots of the equation. Solutions are the numbers that, once the variable has been solved, are equal to it. We can use the discriminant formula to obtain the roots of quadratic equations.

The given equation [tex]x^2+6x-15=0\\[/tex] can be solved using discriminant method.

[tex]d=b^2 -4ac\\[/tex].......................1

[tex]x=-b\pm\sqrt{d}/2a[/tex].....................2

To calculate d,

Substitute a=1,b=6,c=-15 in eq 1.

[tex]d=6^2-4\times 1\times -15\\ d=96[/tex]

[tex]x=-6\pm \sqrt{96}/2\\x=-3\pm 2\sqrt6[/tex]

Thus, value of x is  [tex]-3\pm 2 \sqrt{6}[/tex]

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Final answer:

x = -3 ±√24.

Explanation:

To solve the quadratic equation x²+6x-15=0 by completing the square, follow these steps:

First, move the constant term to the other side of the equation:

x² + 6x = 15.

Add the square of half the coefficient of x to both sides to complete the square: (6/2)² = 9, so add 9 to both sides resulting in x² + 6x + 9 = 24.

Now the equation is a perfect square on the left side:

(x+3)² = 24.

Take the square root of both sides to solve for x:

x+3 = ±√24.

Subtract 3 from both sides to find the values of x:

x = -3 ±√24.

Answer:

   6 miles

Step-by-step explanation:

The time Johnny rode was ...

  1 h 11 min = (60 min) +(11 min) = 71 min = 71 × (60 sec) = 4260 sec

The distance of one revolution of the bike tire is ...

 C = πd = 3.14(30 in) = 94.2 in

So, the total distance Johnny rode was ...

 (4260 sec)×(94.2 in/sec) = 401,292 in

__

We know there are 5280 feet in a mile, and each of those is 12 inches. So, the number of inches in a mile is ...

  5280 ft = 5280×(12 in) = 63,360 in

__

The number of miles Johnny rode can be found by dividing the total distance by the distance in 1 mile:

  (401,292 in)/(63,360 in/mile) = 6.33 mile

Johnny rode about 6 miles in 1 hour 11 minutes.

Answer:

The Answer is 39/10! I Did The Assignment!

Step-by-step explanation:

The radius is 3.9 units

In geometry, the radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary. It is an important part of circles and spheres which is generally abbreviated as 'r'. The plural of radius is "radii" which is used when we talk about more than one radius at a time. The largest line segment in a circle or sphere joining any points lying on the opposite side of the center is the diameter, and the length of the radius is half of the length of the diameter. It can be expressed as d/2, where 'd' is the diameter of the circle or sphere. Look at the image of a circle given below showing the relationship between radius and diameter.

given:

As, CB ⊥ AC by the radius-tangent theorem.

In ΔABC, applying the Pythagoras theorem

r² + 8² = (r+ 5)²

r² + 64= r² + 25 + 10 r

64 - 25 = 10 r

39 = 10r

r= 39/10

r= 3.9 units

Hence, the radius is 3.9 units.

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Answer:

1. 26.0976

2. 1048.93

3. 16.16733

Answer:

1/4 or 0.25

Step-by-step explanation:

please kindly check the attached files for details

Step-by-step explanation:

The total number of guests for lodge to be full = 153

During heavy snow fall, the lodge will be full.

The expected number of guests during heavy snow fall = 153

During partial snow fall, the expected number of guests = 62

The probability of heavy snowfall = 0.4

The probability of partial snow fall = 1 - 0.4 = 0.6

The expected number of guests = [(0.4) (153)] + [(0.6) (62)]

= 61.2 + 37.2

 =  98.4

Answer:

6 times

Step-by-step explanation:

In order to figure out how many times a number goes into another number we need to divide the numbers:

88/14 ≅ 6.29

Since the answer is 6.29 then 14 fits into 88, 6 full times

Answer:

m = 1/2  point (5, -7)

Step-by-step explanation:

The equation is in point slope from

y - y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y+7 = 1/2(x-5)

Rewriting

y - -7 = 1/2 (x - 5)

We can see that 1/2 is the slope and (5, -7) is a point on the line

Answer:

a)

Step-by-step explanation:

y - y1 = m(x - x1)

m = ½

Point: (5,-7)

Answer:

76.3 millions of people per year

Step-by-step explanation:

Missing text of the question:

"The world population1 , in billions, was approximately

[tex]P=7.17e^{0.01064t}[/tex]

where t is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place."

Answer:

The expression that gives us the world population in billions t years after April 20, 2014 is

[tex]P=7.17e^{0.01064t}[/tex]

Where t is expressed in years.

Here we want to find the rate of change of this function at that date.

The rate of change of a function is given by its derivative. Therefore, we have to calculate the derivative of the function P, and the calculate its value at the date indicated.

The derivative of the function is:

[tex]P'(t)=7.17 \cdot 0.01064 e^{0.01064 t}=0.0763 e^{0.01064t}[/tex]

Now we want to find the rate of change at the date April 20, 2014, which means zero years after that date; so we have to substitute t = 0 into the expression of the derivative, and we find:

[tex]P'(0)=0.0763e^0 = 0.0763[/tex]

So, 0.0763 billions, which corresponds to 76.3 millions of people per year.