Noah stood 55 2/3 inches tall on his tenth birthday. If he stood 58 1/2 inches on his 11th birthday, how much taller has Noah grown in the past year?

Answer: 126 samples

Step-by-step explanation:

Given that :

Standard deviation (σ) = 0.7

Mean (m) = 7.3

Error (E) = 0.08

α = 80%

The sample size n can be obtained using the relation :

n = [(Zcrit * standard deviation) / Error]^2

The Zcritical at 80% = 1.282

Hence,

n = ((1.282 * 0.7) / 0.08)^2

n = (0.8974 / 0.08)^2

n = 11.2175^2

n = 125.83230625

n = 126

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

Read more on reflection;

https://brainly.com/question/24136970

#SPJ1

Candies left=10-4=6candies

Now

Price of 6

\(\\ \sf\longmapsto 6(4)=24million\)

The formula that can be used to illustrate consecutive even numbers is a + 2.

It should be noted that the information is incomplete. Therefore, an overview will be given.

It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.

Examples of such numbers include 2, 4, 6,8, 10, etc.

In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.

Learn more about integers on:

brainly.com/question/1558855

#SPJ1

Step-by-step explanation:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

Answer:

65.25MPH

Step-by-step explanation:

Answer:

65 mph

Step-by-step explanation:

MARK ME BRAINLIEST PLS I NEED IT

The step in which the subtraction property of equality was applied to solve the equation is given as follows:

D. The subtraction property of equality was not applied to solve this equation.

The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality, and hence it is used to isolate a variable that is adding on a side of the expression.

For this problem, to remove the term -7, we add 7 to both sides of the expression, hence the addition property of equality was applied.

In the other step, the multiplication property was applied, hence option D is the correct option for this problem.

More can be learned about the subtraction property of equality at https://brainly.com/question/1601404

#SPJ1

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

Learn more about mean here: https://brainly.com/question/20118982

#SPJ1

Step-by-step explanation:

81 i belive ................

Answer:

45

Step-by-step explanation:

I believe that would be the answer.

Answer:

A) ∃y(¬P(y))

B) ∀y(P(y) ^ Q(y))

C) ∀y(P(y) ^ Q(y))

D) ¬∃y(P(y) ^ Q(y))

E) ∃y(¬P(y) ^ Q(y))

Step-by-step explanation:

We will use the following symbols to answer the question;

∀ means for all

∃ means there exists

¬ means "not"

^ means "and"

A) Something(y) is not in the correct place is represented by;

∃y(¬P(y))

B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).

Thus, we have;

∀y(P(y) ^ Q(y))

C) Similar to B above;

∀y(P(y) ^ Q(y))

D) For Nothing is in the correct place and is in excellent condition:

It can be expressed as;

¬∃y(P(y) ^ Q(y))

E) For One of your tools is not in the correct place, but it is in excellent condition:

It can be expressed as;

∃y(¬P(y) ^ Q(y))

Answer:

y^2 OR y²

y² is the more accurate way to write it, however both should work

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

The system of equations has infinitely many solutions.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given:

-2x - 3y + z = 7

-x - y + 3z = -10

-2x - y - z = 13

We have to how many solutions the system of equations has.

Arranging the above equations in form of a matrix and finding the determinant, we get,

Δ = \(\left|\begin{array}{ccc}-2&-3&1\\-1&-1&3\\-2&-1&-1\end{array}\right|\)

= -2(1+3) +3(1+6) +1(1-2)

= - 4 + 21 -1 = 16

Δ₁ = \(\left|\begin{array}{ccc}7&-3&1\\-10&-1&3\\13&-1&-1\end{array}\right|\)

= 7(1+4) +3(10-39) +1(10+13)

= 35 - 87 + 23

= -29

Hence, the system of equations has infinitely many solutions.

To learn more about the system of equations from the given link

https://brainly.com/question/13729904

#SPJ1

Answer:

The answer is

\( \huge y = - 2x\)

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

From the question we have

\(y + 4 = - 2(x - 2) \\ y + 4 = - 2x + 4 \\ y = - 2x + 4 - 4\)

We have the final answer as

Hope this helps you

Answer:

a) 2

b) 2x, -13

c) 2, -13

Step-by-step explanation:

Term means mathematical equations that are separated by arithmetic symbols like (+,-,x,/).

For example, there is 2 terms in the following example because there is two values separated by arithmetic symbols: 3x+5.

More examples of terms: 7, 5x, x, \(7x^2\), \(x^2\)

Coefficient means the value that you multiply the variable by. The coefficient in the variable: 5x is 5 because you are multiplying x by 5.

Step-by-step explanation:

all the pink area above the blue line (above means ">", and the blue line is -1/2 x), and not including the line.

Answer:

120

Step-by-step explanation:

370m - (65 x 2) = 240

240 divided by 2 = 120

Answer:

k ≈ 0.14

Step-by-step explanation:

Given

P = 300 \(e^{kt}\)

Substitute P = 400 and t = 2 into the equation

400 = 300 \(e^{2k}\) ( divide both sides by 400 )

\(e^{2k}\) = \(\frac{4}{3}\) ( take ln of both sides )

ln \(e^{2k}\) = ln (\(\frac{4}{3}\) )

2k = ln (\(\frac{4}{3}\) ) ( divide both sides by 2 )

k = \(\frac{ln\frac{4}{3} }{2}\) ≈ 0.14 ( to the nearest hundredth )

Answer:

n - 8 ≥ 10

n ≥ 18

Step-by-step explanation:

Hello!

8 less than the number n can be represented as n - 8.

To be atleast 10, we can have values greater than 10 and equal to 10, but cannot be less than 10 . We can use the ≥ symbol to represent this.

The inequality would be n - 8 ≥ 10

n has to be greater than or equal to 18

Answer:f=60a(60)

hope this helps bye

Answer:

Total Cost, C(x) = 21000 + 11.60x

Revenue, R(x) = 20(x)

Step-by-step explanation:

Given the investment, which is fixed cost = $21000

Per unit cost of product = $11.60

Selling price = $20

Total cost is the sum of fixed cost and the variable cost:

Thus, TC = FC + VC

Let the number units = x

C(x) = 21000 + 11.60x

Now the total revenue:

R(x) = 20(x)

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Answer:

x = 8

Step-by-step explanation:

m<PQR = (2x + 6)°

m<RPQ = (x - 7)°

m<QRS = (5x - 17)°

<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.

Therefore,

m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)

Substitute in the values

2x + 6 + x - 7 = 5x - 17

Add like terms

3x - 1 = 5x - 17

Collect like terms

3x - 5x = 1 - 17

-2x = -16

-2x/-2 = -16/-2

x = 8

Answer:the answer is 1/16

so none of the above

Step-by-step explanation:

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

6.890625 Tons

Step-by-step explanation:

To get total in ounces: [(14,700 x 15) = 220,500 OZ].

To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8