1. Draw a picture, write and solve an equation to find Mary's weight, w, when she was 10 years old.​

Answer:

5:6

Step-by-step explanation:

The entire class is 11/11.

Girls: 5/11 of the class.

Boys: 11/11 - 5/11 = 6/11

Ratio of girls to boys:
5/11 / 6/11 = 5/11 × 11/6 = 5/6

Answer: 5:6

The way the decrease in confidence affect the sample size​ required is: A. Decreasing the confidence level decreases the sample size needed.

Using this formula to find the decrease in sample size

n = [zs/E]^2

Where:

n = Sample size

zs = z-score

E=  margin of error

Confidence coefficient for 99% = 2.58

Hence,

2.58 × 13.8/sqrt(n) = 0.04

2.598 × 13.4 /0.04 = sqrt(n)

( 2.598× 13.8 /0.04)^2  = n

n=803,371.6

So,

Confidence coefficient for 90% = 1.64

n= (1.64× 13.8/0.04)^2

n =320,129.64

Therefore the correct option is A.

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The complete question is:

A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier​ studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size​ required?

How does the decrease in confidence affect the sample size required

A. Decreasing the confidence level decreases the sample size needed.

B. The sample size is the same for all levels of confidence.

C. Decreasing the confidence level increases the sample size needed.

Answer:

[tex]\frac{50}{50\\}[/tex] [tex]= \frac{65}{50}[/tex]

Now cross-multiply

Let p represent the percentage

50(50) = 50(65) ; 2500p = 3250

now divide 2500 on both sides to find p

2500p/2500 and 3250/2500

p = 1.3 ; percentage change is equal to %1.3 increase

Answer:

0.6

Step-by-step explanation:

3/4 of 4/5 is the same as asking: If you take 3/4 of 4/5, what do you get? Furthermore, 3/4 is 75 percent. Therefore, we are solving 75 percent of 4/5 when we are solving 3/4 of 4/5. To solve the problem, we start by labeling 3/4 of 4/5 like this: N1/D1 of N2/D2

Then we use this fraction of a fraction formula to solve the problem:

(N1 x N2) / (D1 x D2)

When we enter 3/4 of 4/5 into the formula, we get:

(3 x 4) / (4 x 5) = 12/20

Therefore, the answer to 3/4 of 4/5 in its lowest form is:

3/4 of 4/5 = 3/5

The answer above is 3/4 of 4/5 in fraction form. Below we have converted the response to a decimal form for you: 3/4 of 4/5 = 0.6

Hint: If you need to figure out a Fraction of Fraction problem like 3/4 of 4/5 in the future, remember that you get the answer by multiplying the numerator to and the denominator this is the same as multiplying the fractions together.

The fraction that represents the percentage of 57% is presented as follows:

57/100.

A fraction is represented by the division of a term x by a term y, according to the equation presented as follows:

Fraction = x/y.

The terms are know as numerator and denominator, respectively, as follows:

For a percentage of a%, the equivalent fraction is obtained as follows:

Hence, for a percentage of 57%, as is the case in this problem:

Hence the fraction is:

57/100.

The problem asks to represent the percentage as a fraction.

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The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) .

In the question ,

it is given that

the number is x ,

we have to find the expression , that represents the difference of 20 and 3 times a number .

three times the number x is denoted by 3x .

and the difference of 20 and three times the number x is 20 - 3x .

the expression is (20 - 3x).

Therefore , The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) 20 - 3x .

The given question is incomplete , the complete question is

Which answer choice represents the difference of 20 and 3 times a number x ?

(a) 3x + 20

(b) 20(3x)

(c) 20 – 3x

(d)  (20 · 3)x

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Trignometric equation can be used to answer this:

acc to our question-

5. cos(75)= 2-√3

6. tan(22/7)= 1+√2

7. sin 3π/6= √2-√√2/2

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The linear function with values of f(-1)=8 and f(5)=6 is  f(x) = [tex]\frac{-x+23}{3}[/tex].

What is linear function?

 A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.

Here the given  values are f(-1)=8 and f(5)=6.

We know that f(x)=y , Then the points are (-1,8) and (5,6).

Using slope formula ,

=> slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = -2/6=-1/3

Now using slope formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

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

=>3y-24=-x-1

=> 3y=-x+23

=> y = [tex]\frac{-x+23}{3}[/tex]

Hence the linear function is f(x) = [tex]\frac{-x+23}{3}[/tex].

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The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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The percentage increase for each of the given figures are;

a) 6%

b) 6%

c) 12%

Percentage increase is simply defined as the percentage by which a figure increases. The formula to calculate percentage increase is;

Percentage increase = (Final value - Initial Value)/initial value) * 100%

a) We are given;

Original quantity = 100

New quantity = 106

Thus;

Percentage increase = (106 - 100)/100 * 100%

Percentage increase = (6/100) * 100%

Percentage increase = 6%

b) We are given;

Original quantity = 10

New quantity = 16

Thus;

Percentage increase = (16 - 10)/10 * 100%

Percentage increase = (6/10) * 100%

Percentage increase = 60%

c) We are given;

Original quantity = 50

New quantity = 56

Thus;

Percentage increase = (56 - 50)/50 * 100%

Percentage increase = (6/50) * 100%

Percentage increase = 12%

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Complete question is;

Find the percent increase for the given original and new quantities in parts a through c.

a) Original quantity:100 New quantity:106

b) Original quantity:10 New quantity:16

c) Original quantity:50 New quantity:56

The equation of the parabola which passes through the point (-3, -8) as described and has x-intercepts -7 and -4 as described is; y = -2 (x + 4) (x + 7).

It follows from the task content that the equation of the parabola whose x-intercepts are -7 and -4 and has the point, (-3, -8) on it be determined.

Since the equation of a parabola in the factored form usually takes the form;

y = a (x - f) (x - g) in which case when f and g are x-intercepts of the parabola.

Therefore, we have; y = a (x - (-4)) (x - (-7))

y = a (x + 4) (x + 7)

Hence, to find the value of a, we set y = -8 and x = -3 so that we have;

-8 = a (-3 + 4) (-3 + 7)

-8 = 4a

a = -2.

Therefore, the equation of the parabola is; y = -2 (x + 4) (x + 7).

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Rectangular coordinates are x = -3.5 , y = 7[tex]\sqrt{3}[/tex]/2 by using the relation between rectangular and polar coordinates

What do you mean by rectangular coordinates?

Rectangular coordinates, commonly known as cartesian coordinates, are a way to represent graphs and show where points are located on a two-dimensional surface or in three-dimensional space.

The origin is the intersection of the two perpendicular axes that make up the Cartesian plane.

The xy plane is another name for the Cartesian plane.

Given polar coordinates are (-7,5π/3)

To change polar coordinates to recatngular coordinate use

x = rcosθ , y = rsinθ

here r = -7 and θ = 5π/3

x = -7cos5π/3 = -7 × 1/2 = -7/2 = -3.5

y = -7sin5π/3 = -7 × -[tex]\sqrt{3}[/tex]/2 = 7[tex]\sqrt{3}[/tex]/2

Therefore, rectangular coordinates are x = -3.5 , y = 7[tex]\sqrt{3}[/tex]/2

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Examining the figure, the correct options are

Two angles are said to be congruent when they are equal to each. The symbol to represent congruency is ≅

The following angles are congruent in the figure

Corresponding angles refers to angles that are in a position that are in matching position to another angle.

Corresponding angles are said to be equal when there are parallel lines intersected across by a line called transversal line.

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The simplest polynomial form of  f(x)×g(x) is x³ - 16x² + 69x - 90.

So, f(x) × g(x):
Calculate as follows:

Therefore, the simplest polynomial form of  f(x)×g(x) is x³ - 16x² + 69x - 90.

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The exact value of the sine of angle 78° sin(78°) is presented as follows;

[tex]sin(78^{\circ}) = \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}[/tex]

The sine of an angle is found by taking the ratio of the opposite side to the hypotenuse side of a right triangle that has the specified angle.

The sine of angle 78° is found from the sine of the sum of two angles (60° + 18°)  as follows;

sin(78°) = sin(60° + 18°)

sin(A + B) = sin(A)·cos(B) + cos(A)·sin(B)

Therefore, sin(78°) = sin(60° + 18°)  = sin(60)·cos(18°) + cos(60°)·sin(18°)

Where, 18° = A, we have;

5·A = 90°

2·A = 90° - 3·A

sin(2·A) = sin(90° - 3·A) = cos(3·A)

2·sin(A)·cos(A) = 4·cos³(A) - 3·cos(A)

2·sin(A)·cos(A) - (4·cos³(A) - 3·cos(A)) = 0

2·sin(A) - (4·cos²(A) - 3) = 0

2·sin(A) - (4·(1 - sin²(A)) - 3) = 0

4·sin²(A) - 2·sin(A) - 1 = 0

Which gives;

[tex]sin(A) = \dfrac{-1\pm \sqrt{5} }{4}[/tex]

cos²(18°) = 1 - sin²(18°)

cos(18°) = √(1 - sin²(18°))

[tex]cos(18^{\circ}) =\sqrt{1 - \left( \dfrac{\sqrt{5} -1 }{4}\right)^2} = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }[/tex]

[tex]cos(18^{\circ}) = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }[/tex]

Therefore;

[tex]sin(78^{\circ})=\dfrac{\sqrt{3} }{2} \cdot \left( \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }\right) +\dfrac{1}{2} \cdot \left( \dfrac{\sqrt{5} -1 }{4}\right)= \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}[/tex]

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Answer:

Step-by-step explanation:

The rule for dilation of a quadrilaterial is Do.0.08 (z,y) (0.08z, 0.08y). What is the Y coordinate of a new point if the new coordinate is (3-9)? Round to the nearest

hundredth if necessary

Answer:

Answer:

85.2 km/h

Step-by-step explanation:

you are looking for the average speed of a car=rate of the car

distance =213km

time=2 hours 30 minutes also 2 1/2h or 2.5h

distance =rate×time

213km=rate×2.5h

(transpose)

213km÷2.5h=rate

85.2km/h=rate

hope this helps!!!

pls mark brainliest...i really need it :/

Answer:

[tex]r=\frac{21}{20}[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{1}{4} =r-\frac{4}{5}[/tex]
Add 4/5s on both sides:
[tex]-\frac{4}{5} +\frac{4}{5} =0[/tex]
[tex]\frac{1}{4} +\frac{4}{5}[/tex]
Find the LCM:
[tex]\frac{5}{20}+\frac{16}{20}[/tex]
[tex]\frac{5+16}{20}[/tex]
[tex]\frac{21}{20}[/tex]
[tex]r=\frac{21}{20}[/tex]

Hope this helps.

let's firstly convert the mixed fraction to improper fraction, now keeping in mind that the LCD of the denominators 4 and 5 is 20, let's use that LCD to do away with the denominators.

[tex]\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{9}{4}=r-\cfrac{4}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( -\cfrac{9}{4} \right)=20\left( r-\cfrac{4}{5} \right)}\implies -45=20r-16 \\\\\\ -29=20r\implies -\cfrac{29}{20}=r\implies -1\frac{9}{20}=r[/tex]

The distance between the two point of the line segment is 26.07

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates

d = √((x₂ – x₁)² + (y₂ – y₁)²

Substituting the values into the equation;

d = 2√170 = 26.07.

Kindly find the attached graph of the two points.

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The arithmetic mean of the numbers is -6 11/15

Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items in that set.

therefore, arithmetic mean= sum of items/ no of items

The average of numbers,7, 17, 1/3 ,-2/5, -12 ,7, - 121, 49,-16,-9and 4 is obtained by adding the numbers to together and dividing the result by the total frequency.

The sum of the numbers is 7 +17 +1/3-2/5 -12+7 - 121+ 49-16-9+ 4= -1111/15

the total number of items in the set is 11

therefore arithmetic mean = -1111/15÷ 11

= -1111/15×1/11

=-101/15

= -6 11/15

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Answer: AB

Step-by-step explanation:

Radius of a circle is defined as the distance from the center of a circle to its perimeter (the edge).  Line AB is the only choice that meets this definition. CE is the diameter of the circle.

Answer:

AB

Step-by-step explanation:

radius goes in half the circle

The value of f after solving the expression, 2-f/4 = f-3f/4+3, is -2.

According to the question,

We have the following expression:

2-f/4 = f-3f/4+3

We know that to find the value of f we will have to move the terms with the same variable on one side. Now, moving f and 3f/4 from the right hand side to the left hand side will result in the change of their signs.

3f/4-f/4-f +2 = 3

Moving 2 from the left hand side to the right hand side:

3f/4-f/4-f = 3-2

Taking the least common factor as 4:

(3f-f-4f)/4 = 1

(-2f)/4 = 1

Using the cross multiplication method:

-2f = 4

f = -4/2

f = -2

Hence, the value of f for the given expression is -2.

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The equation of the relationship is 2x + 4y = 45 and the graph is attached

From the question, we have the following parameters:

This means that

Price of each drink = Half $4

Evaluate

Price of each drink = $2

Represent the number of drinks with x and the number of bucket of popcorn with y

So, we have the following representation

Total amount of popcorn + Total amount of drinks = Total amount

This gives

2x + 4y = 45

Next, we sketch the graph

See attachment for the graph of the equation

The graph is represented by a straight line

This means that it is a linear equation

Also, the graph touches the axes at (0, 11.25) and (22.5, 0)

This means that the highest number of drinks and buckets are 11.25 and 22.5 respectively

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Answer:

No solution

Step-by-step explanation:

6x - 5 = 6x + 5
6x = 6x + 10
0 = 10

0 cannot be equal to 10 at anytime, so this equation has no solution

Answer: No solution.

Step-by-step explanation:

  Given:

6x - 5 = 6x + 5

  Add 5 to both sides of the equation:

6x = 6x + 10

  Subtract 6x from both sides of the equation

0 ≠ 10

  Since 0 does not equal 10, there is no solution to this equation.

According to the solving the percent error = 11.764%

The percent error is the distinction between the estimated value and the real value in relation to the actual value. In those other words, the relative error is multiplied by 100 to calculate the percent error.

The difference between an approximate number and an exact value is measured in percent error. The bigger the percentage error, the further your estimated value deviates from the known value; conversely, the smaller the percentage error, more closer your approximation to the true value.

Actual value = 408

Expected value = 456

We know that the percent error :

= (expected value - actual value)/actual value.

= (456 - 408)/ 408

= 48/408

= 11.764

= 11.764%

According to the solving the percent error = 11.764%

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The value of the current assets is $44500.

Plants asset = $27000

Equity = $81000

The value of the current asset will be:

Cash $7,500

Prepaid Rent $12,000

Accounts Receivable $6,000

Merchandise Inventory $19,000,

Current asset = $44500

Plant assets will be:

Land $16,000

Building $11,000.

Plant asset = $16000 + $11000 = $27000

Stockholders equity will be:

Common stock = $30000

Retained earnings = $51000

Equity = $81000

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Answer:

1350 ml

Step-by-step explanation:

(1800 : 4) * 3

450 * 3

1350 ml