rt-n=kSolve for tThis is is homework

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

\( \boxed{ \bold{{ \boxed{ \sf8 {x}^{7} + 3 {x}^{6} + {x}^{5} + 5 {x}^{4} - 2 {x}^{3} }}}}\)

Step-by-step explanation:

Here, we have to arrange the polynomial from higher power to lower power.

So, Option C is the correct option

Hope I helped!

Best regards! :D

Answer:

im pretty sure its b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Step-by-step explanation:

d=80 ft

r=80/2=40 ft

volume of cylinder=π r²h,where h is height or depth of cylinder.

π×40²×h=825,000

πh=825,000/40²=4125/8

h=4125/(8π)≈164.1285≈164.13 ft

The depth of water in the reservoir is approximately 21.92 feet.

To find the depth of water in the reservoir, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

Where:

Volume is the total volume of water in the reservoir (in gallons),

π (pi) is a mathematical constant approximately equal to 3.14159,

r is the radius of the reservoir (half of the diameter), and

h is the depth of water in the reservoir (in feet).

Given:

Diameter = 80 feet

Volume = 825,000 gallons

We first need to calculate the radius (r) of the reservoir:

Radius (r) = Diameter / 2 = 80 feet / 2 = 40 feet

Now, we can convert the volume from gallons to cubic feet because we need the measurements to b²e in consistent units:

1 gallon ≈ 0.13368 cubic feet

Volume (in cubic feet) = 825,000 gallons * 0.13368 cubic feet/gallon ≈ 110,127 cubic feet

Now, we can find the depth (h) using the formula:

110,127 cubic feet = π * (40 feet)² * h

Solving for h:

h = 110,127 cubic feet / (π * 40 feet)² ≈ 110,127 cubic feet / 5026.5482 square feet ≈ 21.92 feet

Therefore, the depth of water in the reservoir is approximately 21.92 feet.

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The new graph is still a "V" shaped graph that opens upward and goes through the origin, but it is 4 times as tall as the original graph.

A graph is a picture of data that illustrates the connection between two or more factors. Graphs are frequently used to show data and aid in the understanding of patterns, trends, and relationships between various variables in mathematics, science, economics, and other disciplines. An illustration of the connection between two or more points on a coordinate plane is known as a graph in mathematics. Typically, dots or other symbols are used to symbolize the points, and the lines that connect them show how the points are related to one another. Different graph types are used to depict various relationship types.

given

The "V"-shaped graph that illustrates the function f(x) = 4|x| opens upward and traverses the center.

To understand why, let's first look at the "V"-shaped graph of f(x) = |x|, which has an upward opening and traverses the origin.

When the absolute value of x is multiplied by 4, the graph of the function is vertically extended by a factor of 4.

The new graph is still a "V" shaped graph that opens upward and goes through the origin, but it is 4 times as tall as the original graph.

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Step-by-step explanation:

given,

\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)

I hope this is the answer.

pls mrk me brainliest, i rly worked hard on this i need to get the next rank

The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

The sphere is given by the image presented at the end of the answer.

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

Answer:

q = M - 3p

Step-by-step explanation:

M = q+3p

to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.

M-3p = q

Answer:

q=m-3p

Step-by-step explanation:

m=q+3p

-3p. -3p

-3p+m=q

Answer:

20

Step-by-step explanation:

Answer:

y=5/4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-0=5/4(x-4)

y=5/4(x-4)

y=5/4x-20/4

y=5/4x-5

Answer:

True:

D.

E.

F

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

\(3^{2} -1=9-1=8\)

Plug 3 into B:

\(3(3-1)=9-3 = 6\)

Plug 3 into C:

\((3-2)^{2} = 2^{2} = 4\)

Plug 3 into D:

\(3^{2} +2 = 9+2=11\)

Plug 3 into E:

\(3(3-2) = 9-6 = 3\)

Plug 3 into F:

\((3-2)^{2}=1^{2} =1\)

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

The cost of the book in Naira is N 24.99  

Mr. Awolowo needs to pay N 4165 at the post office.  

An exchange rate determines the value of one unit of currency in relation to another type of money. Which means exchanging the price from one currency to another currency.

People use the exchange rates when they want to travel abroad and It is necessary to convert cash into local currency in order to do purchases locally.

Here we have

The book costs £3. If the rate of exchange is £ 1 = N 8.33  

Cost of the book in Naira = 3 × N 8.33  

= N 24.99  

Mr Awolowo wants to send £500 to his brother in the United Kingdom  

As we know the rate of exchange, is £ 1 = N 8.33    

=>  £500 = 500 × 8.33  = N 4165  

Therefore,

The cost of the book in Naira is N 24.99  

Mr. Awolowo needs to pay N 4165 at the post office.  

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

a = 4.5

Step-by-step explanation:

In easy way you can understand by this simple way

if 4m half is 2m

so, 9m half is 4.5

in simple way answer

Answer:

x-intercept = (-2, 0)

Step-by-step explanation:

Given the linear equation, -5x - 4y = 10:

The x-coordinate of the x-intercept, (a, 0) is the point on the graph where it crosses the x-axis. It is also the value of x when y = 0.

To find the x-intercept, set y = 0:

-5x - 4y = 10

-5x - 4(0) = 10

-5x - 0 = 10

-5x = 10

Divide both sides by -5 to solve for x:

-5x/-5 = 10/-5

x = -2

Therefore, the x-intercept is (-2, 0).

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Answer:

Explanation:

Given the equation:

Step-by-step explanation:

I don't know plz tell me about that

Answer:

Let's analyze each system of equations and classify them based on the number of solutions they have:

1) y = 11 − 2x

  4x − y = 7

This system of equations represents two lines. The first equation is in slope-intercept form, and the second equation is in standard form. Since the equations have different slopes and different y-intercepts, they intersect at a single point. Thus, the system has a single solution.

2) x = 12 − 3y

  3x + 9y = 24

The first equation represents a line, and the second equation is a linear equation. Since the first equation can be rewritten as 3y = 12 - x or y = 4 - (1/3)x, it indicates that the slope-intercept form can't be satisfied. Both equations are equivalent and represent the same line. Therefore, the system has infinitely many solutions.

3) 2x + y = 7

  -4x = 2y + 14

The first equation represents a line, and the second equation is also a linear equation. If we simplify the second equation, we get y = -2x - 7, which is equivalent to the first equation. Thus, the system has infinitely many solutions.

4) x + y = 15

  2x − y = 15

Both equations are in standard form. By adding the equations, we eliminate y and get 3x = 30, which simplifies to x = 10. Substituting x = 10 into either equation, we find y = 5. Therefore, the system has a single solution.

5) x + 4y = 6

  2x = 12 − 8y

The first equation represents a line, and the second equation is a linear equation. By simplifying the second equation, we get x = 6 - 8y, which is equivalent to the first equation. Therefore, the system has infinitely many solutions.

To summarize:

- System 1: Single solution.

- System 2: Infinitely many solutions.

- System 3: Infinitely many solutions.

- System 4: Single solution.

- System 5: Infinitely many solutions.

Answer:

Step-by-step explanation:

perp.: -4/3

y - 1 = -4/3(x - 3)

y - 1 = -4/3x + 4

y = -4/3x + 5

y-int: (0, 5)

Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Answer:

Area of the figure = 350 cm²

Step-by-step explanation:

Area of the given figure in the picture = Area of big rectangle - Area of small rectangle A

Area of big rectangle = Length × Width

                                    = 25 × 15

                                    = 375 cm²

Length of mall rectangle = 25 - (5 + 15)

                                         = 5 cm

Width of small rectangle = 5 cm

Area of small rectangle = 5 × 5

                                       = 25 cm²

Area of the figure = 375 - 25

                              = 350 cm²