Bill is replacing a wornout cable to his power table saw what type of cable is he most likely using

Answer:6

Step-by-step explanation:If jayden made 5% of his free throws and he shot 120 free throws you have to find 5% of 120.

5% of 120 = 6  

So Jayden shot a total of 6 free throws during the season

The perimeter of the Christian's sandbox is 24 feet.

The given two quadrialterals are similar

Let us find the remaining lengths of Christian's sandbox

By proportional equation

36/8=18/x=27/y=18/z

4.5=18/x=27/y=18/z

x=18/4.5 = 4

y=27/4.5 = 6

z=4

The perimeter is sum of all the sides

So perimeter of Christian's sandbox is 8+6+4+4

24 feet

Hence, the perimeter of the Christian's sandbox is 24 feet.

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Answer:

~Shoto todoroki here~

The Mathematical tables and graphs are a good way to represent patterns. It helps to organize data and can reveal the relationships, making it easier to write equations that describe the patterns.

(Hope this helps!)

Answer:

hey can u answer my question ?

The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Answer:

60.32 cm²

Step-by-step explanation:

Answer: Answer B

Step-by-step explanation:

The first five terms of the given sequence are a₁ = 50, a₂ = 25, a₃ = 12.5, a₄ = 6.25 and a₅ = 3.125.

In a geometric sequence the ratio of any two consecutive terms are equal. This ratio is known as the common ratio of the sequence.

Given that,

a₁ = 50 and aₙ = aₙ₋₁ ÷ 2

The first five terms are a₁, a₂, a₃, a₄  and a₅.

All the terms can be written using  aₙ = aₙ₋₁ ÷ 2 as follows,

a₂ = a₁ ÷ 2

⇒ a₂ = 50 ÷ 2

⇒ a₂ = 25

a₃ = a₂ ÷ 2

⇒ a₃ = 25 ÷ 2

⇒ a₃ = 12.5

a₄ = a₃ ÷ 2

⇒ a₄ = 12.5 ÷ 2

⇒ a₄ = 6.25

a₅ = a₄ ÷ 2

⇒ a₅ = 6.25 ÷ 2

⇒ a₅ = 3.125

Hence, the first five terms are 50, 25, 12.5, 6.25 and 3.125 respectively.

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Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

True average percentage of organic matter in such soil is different from 3%.

What is Statistics?

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

Solution:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.611 respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

Let μ = true average percentage of organic matter in such soil

SO, Null Hypothesis : μ = 3%   {means that the true average percentage of organic matter in such soil is equal to 3%}

Alternate Hypothesis  : μ ≠ 3%   {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

TS = (0.02481 - 0.03)/(0.01611)/√30

TS = 4.6% (approx)

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

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Answer:

60 minutes

Step-by-step explanation:

Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.

One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.

This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.

The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.

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IT'S D

HOPE THIS HELP MARK ME BRAINLIST

Answer:

Median: 20

first quartile: 9.75

third quartile: 28.75

interquartile range: 19

Explanation:

First we arrange the data from least to greatest

On dividing 1658 by 25 , the quotient is equal to 66.32.

As given in the question,

Dividend is equal to 1,658

Divisor is equal to 25

Unit place value of 1658 is equal to 8.

25 is not a factor of 1658

Smallest number to 1658 divisible by 25 is 1650

Divide 1658 by 25 we get remainder

Dividend = ( Divisor × quotient) + remainder

1658 = 1650 + 8

        = ( 25 × 66 ) + 8

Remainder is equal to 8

Quotient is equal to 66

In decimal form

1658 ÷ 25

= 66.32 is quotient.

Therefore, the quotient of dividing 1658 by 25 is equal to 66.32.

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Answer:

check this one

Step-by-step explanation:

this is the answer

Answer:

i think C.(-2,-1,2,4)

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

Let the unit price for pencil be x

Let the unit price for pack be y

If the students bought 3 packs of pencil and 2 packs of pen for $8.25, then;

\(2x+3y=8.25.... 1\)

Similarly;

If her friend bought 5 packs of pencil and 2 packs of pen for $11, then ;

\(5x+2y=11 .... 2\)

We will have to solve both equations simultaneously as shown;

\(2x+3y=8.25... 1...*5 \\5x+2y=11 ... 2 ... *2 \\\)

---------------------------------------------------------------------------------------------------------------------------------------------------------

\(10x+15y=41.25\\10x=4y=22 \\\)

Subtract the resulting equations;

\(15y-4y=41.25-22\\11y=19.25\\y=19.25/11\\y= $ 1.75 \\\)

Hence 1 pack of pen costs %1.75

To get x, you will substitute y= 1.75 into equation 2;

\(2;5x+2y=11\\5x+2(1.75)=11\\5x+3.5=11\\5x=11-3.5\\5x=7.5\\x=\frac{7.5}{5} \\x=1.5\)

Hence 1 pack of pencil will cost costs $1.5

From the above solution, we can conclude that there are enough information to find the cost of each pack of pen and pencil.

PLEASE MARK ME AS BRAINLIEST

Let the unit price for pencil be x

Let the unit price for pack be y

If the students bought 3 packs of pencil and 2 packs of pen for $8.25, then;

Similarly;

If her friend bought 5 packs of pencil and 2 packs of pen for $11, then ;

We will have to solve both equations simultaneously as shown;

---------------------------------------------------------------------------------------------------------------------------------------------------------

Subtract the resulting equations;

Hence 1 pack of pen costs %1.75

To get x, you will substitute y= 1.75 into equation 2;

Hence 1 pack of pencil will cost costs $1.5

From the above solution, we can conclude that there are enough information to find the cost of each pack of pen and pencil.

The standard deviation for the given data is 7.5668.

To calculate the standard deviation, we need to follow these steps:

Calculate the mean (average) of the data. The sum of the products of each class midpoint and its corresponding frequency is 625.

Calculate the deviation of each class midpoint from the mean. The deviations are as follows: -15, -10, -5, 0, 5, 10, 15.

Square each deviation. The squared deviations are 225, 100, 25, 0, 25, 100, 225.

Multiply each squared deviation by its corresponding frequency. The products are 675, 300, 75, 0, 225, 300, 675.

Sum up all the products of squared deviations. The sum is 2250.

Divide the sum by the total frequency minus 1. Since the total frequency is 50, the denominator is 49.

Take the square root of the result from step 6. The square root of 45.9184 is approximately 7.5668.

Therefore, the standard deviation for the given data is 7.5668.

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Answer:

14

Step-by-step explanation:

Frist find the square root of 49=7.

Next add 7+7=14.

Finally there is your answer 14.

Answer:Perimeter=28

Area=a^2

49=a^2

√49=√a^2

√49=a

a=7

Perimeter=4a

4(7)=28

I hope this is good enough:

10.59 is the value of the given side b.

In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.

Using the sine rule, we can write:

b/sin(27°) = 15/sin(40°)

To find the value of b, we can rearrange the equation:

b = (15 * sin(27°)) / sin(40°)

evaluate the trigonometric functions and calculate b:

b ≈ 10.59

Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.

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The formula for the cumulative probability of a Poisson distribution can be used to calculate the likelihood that there will be at most 2 reported car accidents over the course of a month:

Cumulative probability is equal to (number of events * e)/(average number of events per time period).

(Number of events / (-average number of events per time period)!)

In this instance, there are typically 0.05 events per time period (the likelihood that a car accident is reported at the intersection on any given day), and there are typically between 0 and 2 events per time period (at most 2 car accidents). With these values entered into the formula, we obtain:

Cumulative probability is equal to (0.05 * e(-0.05)) / 0, (0.05 * e(-0.05)) / 1, and (0.05 * e(-0.05)) / 2, respectively.

That amounts to:

Probability total = 1 + 0.05 + 0.0025

which translates to 1.0525 percent, or 105.25%. It's crucial to keep in mind that this probability exceeds 1, which is impossible. This is because the formula for cumulative probability makes the assumption that each event is independent, which means that the occurrence of one event has no bearing on the probability of the occurrence of another. The cumulative probability calculated using this formula may not accurately reflect the probability of at most 2 car accidents occurring throughout a month because in reality, the probability of a car accident occurring on a given day may be influenced by the number of car accidents that have already occurred. You would need to account for the dependencies between the events in order to calculate this probability precisely.

Answer:

Step-by-step explanation:

Given expression:

Multiply both sides by the conjugate of the denominator to get rid of the fraction:

\(\\ \tt\longmapsto \dfrac{1+i}{3+4i}\)

\(\\ \tt\longmapsto \dfrac{(1+i)(3-4i)}{(3+4i)(3-4i)}\)

\(\\ \tt\longmapsto \dfrac{3-4i+3i-4i^2}{9-16i^2}\)

\(\\ \tt\longmapsto \dfrac{3-i+4}{9+16}\)

\(\\ \tt\longmapsto \dfrac{7-i}{25}\)

Answer:

  x = 43°

Step-by-step explanation:

The three angles to the right of the diagonal line add up to give the angle measure of the line:

  x +90° +47° = 180°

  x = 43° . . . . . . . . . . . . . subtract 137° from both sides

Answer:

12 bucks

Step-by-step explanation:

Answer: B. 2 quarts

Step-by-step explanation: 16 divided by 8 is 2 so you multiply 2 by 1 and you get 2. :)

Answer:

First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n

Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.

What is the permutation?

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.

Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged.

Here given that,

Here are five airplanes ready to depart. runway \(A\) and runway \(D\) are available.

Number of ways to assign \(3\) planes to that runway is

\(^5C_3=^5C_2=10ways\)

Then for each group

Each group of three planes can be arranged in \(^3P_3=3!=6ways\)

Each group of three planes can be arranged in \(^2P_2=2!=2ways\)

So total number of arrangements are

\((2)(10)(6)(2)=240ways\)

Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.

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4

Step-by-step explanation: