Points b d and f are midpoints of ten sides of ace ec=44 df=25 find ac

If the estimate of the population standard deviation is 8, the sample size is 62

In this question, you want to estimate the population mean with 95% confidence with a margin of error of 2.

if the estimate of the population standard deviation is 8, we need to find the sample size.

here, α = (1 - 0.95)/2

         α = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - α

so, z = 1.96

Now, to find the margin of error M we have formula

M = z * σ/√n

2 = 1.96 * 8/√n

√n = 1.96 * 4

√n = 7.84

n = 61.47

n ≈ 62

Therefore,  if the estimate of the population standard deviation is 8, the sample size is 62

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Answer:

Exact Form:

13 /8

Decimal Form:

1.625

Mixed Number Form:

1  5/ 8

Answer:

ax + ab

Step-by-step explanation:

Step 1: Write expression

a(x + b)

Step 2: Distribute a to each term

ax + ab

\(\huge\boxed{Hello!}\)

The Distributive Property states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

a(x+b)

ax+ab

This is our final answer.

\(\huge\boxed{\bf{Hope\;it\;helps!}}\)

\(\huge\bold{Good\;luck!}\)

\(\huge\mathfrak{LoveLastsAllEternity}\)

the answer is ±5i :)

Answer:

\(r^{6}\)

Step-by-step explanation:

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then

\(\frac{r^{9} }{r^{3} }\) = \(r^{(9-3)}\) = \(r^{6}\)

Answer:

The volume would be 36

Step-by-step explanation:

Trust me

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

y-(1)=3(x-1)

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

\(y=3x-2\)  is an equation of a line that is parallel to \(y = 3x - 9\) and passes through the point \((1, 1).\)

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

According to question, we have to write an equation of a line that is parallel to \(y = 3x - 9\)  and passes through the point \((1, 1)\)

Since, the line passes through \((1,1)\) and have slope\(=3\)

So, \(y-(1)=3(x-1)\)

⇒      \(y-1=3x-3\)

⇒            \(y=3x-2\)

Hence, we can conclude that \(y=3x-2\)  is an equation of a line that is parallel to \(y = 3x - 9\) and passes through the point \((1, 1).\)

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Answer:

31 seconds Timmy work out if he follows thought on his plan

I hope it is helpful

Answer: y=-5/2x+9/2

Step-by-step explanation: We are using (-4,3) as our x and y and -5/2(reciprocal of 2/5) as our slope.

y-3=-5/2(x+4)

multiply x and 4 by -5/2

y-3=-5/2x+3/2

add 3 to both sides

y=-5/2x+9/2

The least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)

What is LCD in Rational Expression ?

The denominators' smallest common multiple is called the LCD. We factor the expressions and multiply each unique factor to obtain the LCD of two rational expressions.

The given expression is,

(x + 2) / (x² + 7x - 8) , (x - 6) / (x² +10x + 16)

Let,

(x + 2) / (x² + 7x - 8)     --------eq(i)

(x - 6) / (x² +10x + 16)   ----------- eq(ii)

First take the denominator of eq(i)

The denominator is = x² + 7x - 8

We know, this is quadratic equation so just solve this equation

⇒ x² + 8x - x - 8

⇒ x(x + 8) - 1(x + 8)

⇒ (x - 1) (x + 8)

Next, take the denominator of eq(ii)

The denominator is = x² + 10x + 16

And, this is also a quadratic equation so the factors are,

⇒ x² + 8x + 2x + 16

⇒ x(x + 8) + 2(x + 8)

⇒ (x + 2) (x + 8)

So, after solving both the denominators we get the factors ,

(x - 1) (x + 8) and (x + 2) (x + 8)

As, we see (x + 8) is common just write it once and else terms write as it is,

LCD = (x + 8) (x - 1) (x + 2)

Therefore, the least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)

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Answer: To get 29 grams of protein and 61 grams of calcium, one would need to consume 12.5 servings of MP and 5.5 servings of RB.

In order to obtain 29 grams of protein, one would need to consume an equivalent of 12.5 servings of MP (29 grams ÷ 2 grams).

To obtain 61 grams of calcium, one would need to consume an equivalent of 5.5 servings of RB (61 grams ÷ 11 grams).

Therefore, in order to get 29 grams of protein and 61 grams of calcium, one would need to consume 12.5 servings of MP and 5.5 servings of RB.

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Answer:

Let their ages be x and (x + 20) years.

5 (x - 5) = (x + 20 - 5) or 4x = 40 or x = 10.

Their present ages are 30 years and 10 years.

Answer:

26.124

Step-by-step explanation:

SOH CAH TOA

tan 43 = about 0.933

than times it by 28 and get

26.124

Answer: 1/125

Step-by-step explanation: 5^3 is 125/1, so 5^-3 is 1/125.

Answer: 1/125, 5^3 is 125/1, so 5^-3 is 1/125.

Step-by-step explanation: joe mama

Given the equation of the function f(x)

We will divide f(x) by the factor (x-2)

We can use the long division or the synthetic division

We will use the long division as shown in the following figure:

So, the answer will be as follows:

Answer:

Options (B), (D), and (E) are correct.

Step-by-step explanation:

The given best fit curve for the collected data is

\(y=73.6 - 67.8x\cdots(i)\)

Where x is the number of hours spent driving and y is the distance of distributer, in miles, from the retailer.

As the driver starts recording the time when he starts from the retailer, so at the starting time, x=0, the driver is at the retailer.

So, putting x=0 in the given equation (i) to get the distance between the distributor and retailer, we have

\(y =73.6 - 67.8\times 0\)

\(\Rightarrow y= 73.6\) miles.

So, the distributor is 73.6 miles away from the retailer.

From equation (i), as x (time) increases the value of y (distance) decreases.

So, The distance from the retailer decreases with time.

Now, obtaining the rate of change the distance,y, from quation  (i), with respect to time,x, to get the speed of the truck, we have

\(\frac {dy}{dx}=-67.8\) mile/hour

Negative sign shows that the distance is decreasing, taking the magnitude of the rate of change of distance with respect to time to get the speed,

speed \(= | dy/dx |= | -67.8 | = 67.8\) miles/hour

So, the speed of the truck is 67.8 miles per hour.

Hence, options (B), (D), and (E) are correct.

Using linear function concepts, it is found that the correct options are:

B. The distance from the retailer decreases with time.

D. The distributor is 73.6 miles away from the retailer.

E. The truck is traveling at a rate of 67,8 miles per hour

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, the distance, in miles, after x hours driving is modeled by:

\(y = 73.6 - 67.8x\)

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Answer:345

Step-by-step explanation:

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Answer:

x = 25

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

2x + 3x + 55 = 180, that is

5x + 55 = 180 ( subtract 55 from both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Answer:

Step-by-step explanation:

2 squares ( ONLP && PLKH )
2 triangles ( NML && HKJ )

1 semi-circle ( PH )

Answer:

1: 5/6

2: 3 1/6

3: 12/25

hope this helps!!

p.s

    comment if wrong

Answer:

Look at attachment

Step-by-step explanation:

The perimeter of the given figure is 89.12 inches.

Given that, the shape is made up of one half-circle attached to a square with side lengths 16 inches.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

We know that, the perimeter of square is 4a, where a is side of a square.

When, a=16

The perimeter of square =4×16

= 64 inches

We have circumference of circle = 2πr

Circumference of a semi circle= πr

Here, radius(r)=8 inches

= 3.14×8

= 25.12 inches

Total perimeter = 64+25.12

= 89.12 inches

Therefore, the perimeter of the given figure is 89.12 inches.

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Answer: The answer is 6.

Step-by-step explanation:

Answer:

g(x) = \(12.(\frac{3}{4})^x\)

Step-by-step explanation:

Exponential function g has been represented by the table attached,

Equation of the exponential function is,

g(x) = \(a.(b)^x\)

Now we substitute the values of x and g(x) from the table,

For a point (0, 12),

12 = \(a(b)^0\)

a = 12

For another point (1, 9),

9 = \(a.(b)^1\)

9 = a × b

9 = 12 × b

b = \(\frac{9}{12}\)

b = \(\frac{3}{4}\)

Therefore, equation of the exponential function will be,

g(x) = \(12.(\frac{3}{4})^x\)

Answer:

m∠V = 60°, m∠U = 90°, m∠W = 30°

Step-by-step explanation:

hope this helps y'all out

The angle measures of triangle VUW are m∠V = 90°, m∠U = 60°, m∠W = 30°

From the given diagram;

According to the rule:

sin <V = opp/hyp

sin <V = 3√3/6

sin <V = √3/2

<V = 60 degrees

Since the triangle is right-angled, the measure of m<U is 90 degrees

Also, the sum of interior angle of a triangle is 180 degrees, hence;

60 + 90 + <W = 180

<W = 180 - 150

<W =  30 degrees

Hence the angle measures of triangle VUW are m∠V = 90°, m∠U = 60°, m∠W = 30°

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Adding and subtracting fractions with unlike denominators is an important skill for students to master in order to understand basic math concepts.

Unlike denominators are two fractions that have different denominators, such as 1/3 + 1/4. When fractions are added together with unlike denominators, the result is a fraction with a denominator that is a common multiple of the two original denominators.

Worksheets can provide students with the practice and repetition needed to become fluent in this skill.

Worksheets can help to provide context for the concept by explaining the steps involved in solving the problem. This can give students a better understanding of the concepts behind adding and subtracting fractions with unlike denominators and make them more confident in their abilities.

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Answer:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Step-by-step explanation:

Factor the following:

125 q^6 - r^6 s^3

Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.

125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:

(5 q^2)^3 - (r^2 s)^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):

(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (5 q^2)^2.

Multiply each exponent in 5 q^2 by 2:

(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Evaluate 5^2.

5^2 = 25:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (r^2 s)^2.

Multiply each exponent in r^2 s by 2:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)