I need help solving this problem. My answer isn’t coming out right. I have to find the missing length.

Explanation

The question can be solved using the probability distribution formula, which can be seen below.

Part A

From the image we can see that n=8 and p=0.73 while q= 1-0.73 = 0.27

Therefore for;

Answer: 0.2386

Part B

Answer: 0.3193

Part C: Out of a random number of 40 people in the community, the expected number of people that speak English as a lnaguage will be;

Answer: 29.20

Given x = 7, we have:

Answer: 42

c = 8t + 12 (option C)

Explanation:

The equation will be in the form of equation of line:

y = mx + c

where y = cost

m = slope, x = change for calls, c = intercept

m = change for calls/change in lenght of call

m = slope = (28-20)/(2-1) = (36 -28)/(3-2)

m = 8/1 = 8

So we know the rate of change is 8

for t = 1, = 8 *1 = 8

for t = t , 8*t =8t

The option in the question with 8t is c = 8t + 12

To confirm if the option is correct, we use any of the value of time:

when t = 2

c = 8(2) + 12 = 16 + 12

c = $28

This is correct from the table. Hence, the equation can be used to determine the cost c ​ is c = 8t + 12 (option C)

Answer:

c = 14

a = 7√3

Explanation:

To find the value of c, we will use the sin(30) because sin(30) is equal to the opposite side over the hypothenuse. So:

Additionally, sin(30) is also equal to 0.5, so we can replace this value and solve for c:

Therefore, the length of the hypotenuse (c) is 7.

Now, we can calculate the length of the other leg using the Pythagorean theorem, where:

So, replacing the value of c by 14, we get:

Therefore, the length of the other leg (a) is 7√3

We are given a figure in which line r intersects two parallel lines p and q.

The angles labeled as ∠1 and ∠2 are known as same-side interior angles.

Same-side interior angles are supplementary meaning that their sum is equal to 180°.

So we can write,

Now let us solve this equation for x.

Now we can find the exact value of the angle ∠1

Therefore, angle ∠1 = 83°

The equation of line L is  [tex]7x+5y=70[/tex].

Given,

Line L passes through point (10,-1)

Equation of line P = [tex]5x-7y=8[/tex]

Line L is perpendicular to line P

First find the slope of line P, for that convert the equation into the general form [tex]y=mx+c[/tex]

Where, m=slope

[tex]5x-7y=8\\\\5x-8=7y\\\\y=\frac{5}{7}x-\frac{8}{7}[/tex]

Comparing with general form,

[tex]m=\frac{5}{7}[/tex]

Any line perpendicular to it should have slope in the form [tex]-\frac{1}{m}[/tex]

So, the slope of line L becomes  [tex]-\frac{7}{5}[/tex]

Equation of line L can be written as [tex]y-y1=m(x-x1)[/tex]

Where, (x1,y1) is the point through which line passes and 'm' is the slope of line L

[tex]y-(-1)=-\frac{7}{5}(x-10)\\\\5(y+1)=-7x+70\\\\5y+5=-7x+70\\\\7x+5y=70[/tex]

Thus, the equation of line L is [tex]7x+5y=70[/tex]

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Answer:

Pablo could rent the boat for less than 9 hours.

t < 9

Explanation:

Since Pablo wants to spend less than $47 to rent a boat and we're told that the boat costs $6 per hour and Pablo has a discount of $7 off, we can go ahead and represent this as an inequality as shown below using t to represent the number of hours;

To solve for t, let's add 7 to both sides;

Let's divide both sides by 6;

From the above, we can see that Pablo could rent the boat for less than 9 hours in order to spend less than $47.

Given data;

The area in which cucumbers usually grown are 2/3 x.

Here, x is the total area of the garden.

The area of the cucumber taken to grow raddish are,

Thus, the area of the raddish is 50% of the total area of the garden sfter the changes.

The sum of 8 and a number of f can be written as follow:

8 + f

Let:

x = mL of soda solution

y = mL of syrup solution

The soda solution is 80% strength and the syrup solution is 0% strength, thus the combination of x and y of each solution gives strength of:

80x + 0y

This combination must be 60% strength, thus:

80x + 0y = 60(x + y) [1]

The total amount of solution is 65 mL, thus:

x + y = 65

Substituting in [1]

80x + 0y = 60*65

Operating and simpliifying:

80x = 3900

Dividing by 80:

x = 48.75

I need 48.75 mL of soda solution

Determine the slope of line passing through points (1,2) and (7,7).

So slope of the line is 5/6.

There are 10 possible digits that we can replace. These are from 0 - 9.

Let's start replacing with 0 first. The fraction will be 602/100 and can be reduced to 301/50.

If we replace * with 1, the fraction will be 612/110 and be reduced to 306/55.

If we replace * with 2, the fraction will be 622/120 and be reduced to 311/60.

If we replace * with 3, the fraction will be 632/130 and be reduced to 316/65.

We can use all the digits from 0 - 9 to replace * and it will allow us to reduce the fraction because the numerator and denominator ends in 2 and 0 respectively.

A → A' (-7, 10)

B → B' (1, 5)

C → C' ( -3, 3)

The translation rule is:

(x+2, y+5)

We are going to get the coordinates of the vertices A, B, and C.

We will also get the coordinates of the vertices A', B', and C' after translation.

A (-9, 5)

B (-1, 0)

C (-5, -2)

After the translation (x+2, y+5)

A' (-9+2, 5+5)

A' (-7, 10)

B' (-1+2, 0+5)

B' (1, 5)

C' (-5+2, -2+5)

C' (-3, 3)

Therefore:

A → A' (-7, 10)

B → B' (1, 5)

C → C' ( -3, 3)

Principal = P = $14,354

Rate = r

If there are p players and every player has 2 water bottles. The total number of water bottles is calculated as:

So, the expression that can be used to determine the total number of water bottles is:

Given data:

The given age of Tom is T=P+26.

The expression for the product of their ages is TxP=560.

Substitute (P+26) for T in the second expression.

Thus, the age of Paul is 14 years.

The required solution,
(a) the graph has been shown,
(b) The slope-intercept equation of linear function is y = x,
(c) The slope-intercept form of transformed equation is y = x + 2 and y = x - 3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

Let's consider a linear function y = x,
The equation of the trasformation in slope-intercept form is given as
For 2 units up
y = x + 2
For 3 units down
y = x - 3

Thus, the required graph has been attached and the solution is determined.

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Answer:

It would be a lot of bavgeria

Answer:

450000

Step-by-step explanation:

125×(60×60)

=125×3600

=450000

answer is

discrete and quantitative

In order to write this set in interval notation, first let's understand what the set represents.

This set includes all numbers that are greater than or equal to 7.

That is, the smaller number in the set is 7, and the greater value doesn't exist, so we can use positive infinity to represent that the set only grows.

Since number 7 is included in the set, we use square brackets, and since positive infinity is not included in the set (because it's not a number that is in the set), we use parenthesis, so the interval notation is:

Let

R ----> resistance in ohms

L ---> the length of the wire in ft

D ---> the diameter of the wire in mm

In this problem, the equation is of the form

we have

L=432 ft

D=4 mm

R=1.26 ohms

so

Find out the value of K (constant of proportionality)

substitute the given values

Part 2

The formula is

For

R=1.41 ohms

D=5 mm

substitute in the formula above

In this problem we have to use the Hero formula so first we have to find s:

and then we replace the sides of the triangle:

and with s we can use the formula of A so:

and replace the data so:

and we simplify it so:

We are given two lengths of the rectangle:

RU=3x-6

UT=x+9

These two lengths are shown in the following diagram:

Since this is a rectangle, the lengths of RU and UT must be equal:

Thus

We need to solve this equation for x.

We start by subtracting x to both sides of the equation:

Now, add 6 to both sides:

Finally, divide both sides by 2:

We have the value of x: x=7.5

Now we have to find the length of QS. Since QS and RT are diagonals of the same rectangle, they have to be equal:

This means that we can find RT by adding RU and UT, and the result will be equal to QS:

substituting the given expressions for RU and TU:

And now, substitute x=7.5 and solve for QS:

Answer:

x=7.5 and QS=33

SOLUTION

The given points are: (-7,-3) and (-1,-1)

The slope of the line segment is:

Recall that the product if solpes of perpendicular line give -1.

The the slope of the perpendicula bisector is:

Therefore the slope of the perpendicular bisector is -3.

Recall that the perpendicular bisector passes through the center of a line segment.

Hence the perpendicular bisector will pass through:

Using the point slope form, the equation of the perpendicular bisector is:

Therefore the required equation is:

The total amount of money that you can deposit in the account would be = $ 8,000

Interest is defined as the amount of money that an individual earns from an investment made after a particular period of time.

The formula for calculating simple interest;

simple interest (SI) = Principal×time ×rate/100

The principal amount = $x

time = 5 years

Rate = 5%

simple interest = $2000

From the formula, make principal the subject of formula:

Principal= SI × 100/T ×R

Principal= 2000×100/5 × 5

principal= 200000/25

Principal=$ 8,000.

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Given:

a.) A rug with a diameter of 9 ft.

Since the rug appears to be a circle, we will be using the following formula:

Where,

D = diameter

We get,

Therefore, the rug will cover 63.59 ft.^2 of the floor area. The answer is letter C.

Determine the area of the garden by using the following formula for the area of a triangle:

A = b·h/2

where

b: base = 4 ft

h: height = 6 ft

replace the previous values of the parameters into the formula for A:

A = (4 ft)(6 ft)/2

A = 12 ft²

next, take into account that:

1 bag of fertilizer = 3 ft² of garden

then, you have:

number of bags of fertilizer = (12 ft²)/(3 ft²) = 4 bags

Answer:

Determine the area of the garden by using the following formula for the area of a triangle:

A = b·h/2

where

b: base = 4 ft

h: height = 6 ft

Replace the previous values of the parameters into the formula for A:

A = (4 ft)(6 ft)/2

A = 12 ft²

Next, take into account that:

1 bag of fertilizer = 3 ft² of garden

then, you have:

number of bags of fertilizer = (12 ft²)/(3 ft²) = 4 bags

Step-by-step explanation:

Step 1. There are 50 students and we need to answer of the teacher can make rows of 6 students in each row.

To check if this can be done, divide 50 by 6 and if the residue is 0, there can be rows of 6 and if the residue is not 0 there cannot be rows of 6 students.

Step 2. D