Answer:
The run 750 steps
Step-by-step explanation
6x+300
x is 75
450+300
750
Paco grew 12 plants with 4 seeds packets. How many seeds packets does Paco need to have a total of 18 plants in his backyard? Solve using unit rates.
Answer: 72
Step-by-step explanation: i multiplied 18 and 4 and that gave me 72
hopefully im not wrong let me know if i am
Answer:
5 and half packet of seeds or 5.5 which is 6 packets
Step-by-step explanation:
12 / 4 = 3
he can plant 3 plants with 1 seed packet
which means he needs 5 packets and half
the answer is 6
2(3+2)^3= ?
Please Solve
Answer:
250
Step-by-step explanation:
Apply PEMDAS
2(5)^3
2 times 125
250
The sum of 2 consecutive whole numbers is 206. What are the 2 numbers
Answer:
102.5, 103.5
Step-by-step explanation:
a+a+1=206
2a+1=206
2a=205
a=102.5
103.5
I think there is a bug here. They can't be whole numbers.
Answer:
There are no two consecutive whole numbers that sum to 206 (See proof below)
Step-by-step explanation:
let the first number be x
since the numbers are whole and consecutive, the second number must be (x + 1)
we are given that the number sum to 206
hence,
x + (x+1) = 206
x + x + 1 = 206
2x + 1 = 206 (subtract 1 from both sides)
2x = 206 - 1
2x = 205 (divide both sides by 2)
x = 205/2 = 102.5 (NOT A WHOLE NUMBER)
if x = 102.5, then the second number must be
x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)
Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.
Answer:
Annual Interest Rate, r = 5.69%
Step-by-step explanation:
Amount of loan taken = 220,000
Closing fee is 5% of the loan value
Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000
Therefore, Principal, P = Loan amount + closing fee
P = 220000 + 11000
P = 231, 000
Annual rate, r= 5.25% = 0.0525
Monthly rate, i = 0.0525/12 = 0.004375
Time, n = 30 years = 30*12 = 360 months
The monthly payment will be calculated by:
\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59\)
Assuming payments are made based on 220,000, let us calculate the monthly interest rate.
\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229\)
Annual rate, r = 12 * 0.0047429
r = 0.0569 = 5.69%
Customers of an internet service provider connect to the internet at the average rate of 12 new connections per minute. Connections are modeled by a Binomial counting process.
(a) What frame length Δ gives the probability 0.15 of an arrival during any given frame?
(b) With this value of Δ, compute the expectation and standard deviation for the number of seconds between two consecutive connections.
With a frame length of 1, the expectation is 5 seconds and the standard deviation is approximately 3.464 seconds for the number of seconds between two consecutive connections.
(a) To determine the frame length Δ that gives a probability of 0.15 of an arrival during any given frame, we need to consider the Binomial counting process and its probability distribution.
In a Binomial distribution, the probability of success (an arrival) is given by p, and the probability of failure (no arrival) is given by q = 1 - p. In this case, p = 12 connections per minute.
We can use the cumulative distribution function (CDF) of the Binomial distribution to find the frame length Δ. The CDF gives the probability of having k or fewer arrivals in a given number of frames.
Using a binomial probability table or a calculator, we find that when p = 0.15, the corresponding value of k is 1. Therefore, the frame length Δ that gives a probability of 0.15 of an arrival during any given frame is 1 frame.
(b) With a frame length Δ of 1, we can compute the expectation (mean) and standard deviation for the number of seconds between two consecutive connections.
The average rate of connections is 12 per minute. To find the average time between two consecutive connections, we take the reciprocal of the rate: 1/12 minutes per connection.
To convert minutes to seconds, we multiply by 60: (1/12) * 60 = 5 seconds.
Therefore, the expectation (mean) for the number of seconds between two consecutive connections is 5 seconds.
The standard deviation can be calculated using the formula for the standard deviation of a Poisson process, which is the limit of the Binomial distribution as the number of trials becomes large. For a Poisson process, the standard deviation is equal to the square root of the average rate: √(12) ≈ 3.464 seconds.
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Divide 456.007 by 3.4566000 and round to the correct number of significant figures. How many significant figures are in your answer
The division of 456.007 by 3.4566000 is 131.924( six significant figures)
What is division?Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication.
Division is a way of putting a certain number in group of another number.
For example if 100 mangoes are to be shared within 5 students, the number of mangoes with each student is obtained by dividing the total number of mangoes by the number of students. Therefore 100/5 = 20 mangoes will be given to a student.
Similarly, 456.007/3.4566000
= 131.924 ( six significant figures)
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Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.
Answer:
The minimum value is 2.8. The vertex is (-7, 2.8).
Step-by-step explanation:
Through the x^2 term we identify this as a quadratic function whose graph opens up. The minimum value of this function occurs at the vertex (h, k). The x-coordinate of the vertex is
-b 11.2
x = --------- which here is x = - ------------ = -7
2a 2(0.8)
We need to calculate the y value of this function at x = -7. This y-value will be the desired minimum value of the function.
Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields
f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8
The minimum value is 2.8. The vertex is (-7, 2.8).
Midway is the name of 252 towns in the united states pleasant hill occurs 5/9 times as how many towns are named pleasant hill are there in the united states?
The 140 towns are named pleasant hill are there in the united states.
What is towns?
Towns and semi-dense areas having a population of at least 5,000 people and grid cells with at least 300 people per km2 density; and. Most rural areas are made up of low-density grid cells.
As given, Midway is the name of 252 towns in the united states pleasant hill occurs 5/9 times.
So,
\(252(\frac{5}{9} ) = 28(5) = 140\)
Therefore, 140 towns are named pleasant hill are there in the united states.
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help me find the perimeter please:)
Answer:
79.2 cm
Step-by-step explanation:
Add up all the lengths of all of the sides of the figure:
16.2 + 7.5 + 7.5 + 18 + 18 + 12 = 79.2
Answer:
79.2 m
Step-by-step explanation:
Well since all the units are the same and you have already labeled the missing/ congruent sides. Just add up all the sides and you’d end up with 79.2
Suppose that in 8 minutes, 64 gallons of water came out of a pipe.
What was the rate in gallons per minute?
gallons per minute
Answer:
8 gallons/minute
Step-by-step explanation:
8 minutes= 64 gallons
1 mintes = x
8x= 64 gallons
x=8 gallons
8 gallons/minute
the base of a triangle is shrinking at a rate of 2 cm/min and the height of the triangle is increasing at a rate of 3 cm/min. find the rate (in cm2/min) at which the area of the triangle changes when the height is 38 cm and the base is 32 cm.
When the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.
The rate at which the area of a triangle changes can be found by multiplying the rate at which the base is shrinking by the rate at which the height is increasing.
Given:
Rate of shrinking of the base = -2 cm/min
Rate of increasing of the height = 3 cm/min
Height of the triangle = 38 cm
Base of the triangle = 32 cm
To find the rate at which the area of the triangle changes, we use the formula for the area of a triangle:
Area = (1/2) * base * height
Differentiating the area formula with respect to time gives us:
dA/dt = (1/2) * (db/dt) * height + (1/2) * base * (dh/dt)
Substituting the given values, we have:
dA/dt = (1/2) * (-2) * 38 + (1/2) * 32 * 3
Simplifying, we get:
dA/dt = -38 + 48
dA/dt = 10 cm²/min
Therefore, when the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.
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PLZ HELP QUICK THANKS!
Answer:
L = \(5 \frac{1}{6} cm = \frac{31}{6} \) cm
B = \(2 \frac{2}{7}cm = \frac{16}{7} \)cm
Area = \( \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} \)
\(11 \frac{34}{42}cm^{2} \)
\( = 11\frac{17}{21}cm^{2} \)
What is 20% of 75?
pls help, tyy!!
After calculating the questiοn, we get that the value οf 20% οf 75 is 15.
What is percentage?A value οr ratiο that may be stated as a fractiοn οf 100 is referred tο in mathematics as a percentage. Divide the number by the tοtal and multiply by 100 tο find the percent οf a given number. Therefοre, the percentage refers tο a pοrtiοn per hundred. Per 100 is what the wοrd percentage signifies. The letter "%" stands fοr it.
Percent changes applied sequentially dο nοt add up in the usual way. Fοr example, if the 10% increase in price cοnsidered earlier (οn the $200 item, raising its price tο $220) is fοllοwed by a 10% decrease in the price (a decrease οf $22), then the final price will be $198—nοt the οriginal price οf $200.
Here the given is,
=> 20% of 75
=> 20% \(\times\)75
=> \(\frac{20}{100}\times 75\)
=> 5\(\times 3\)
=> 15.
Hence the value of 20% of 75 is 15.
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A __________ makes goods or offers services to others.
Answer:
producers or consumers
Step-by-step explanation:
Write the equation of the line (in y = ax+b form) in the
graph below. do not use any spaces when typing your
answer
Answer:
y=3x-8
Step-by-step explanation:
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 58.00 ounces. One bag of cereal weighs 20.05 ounces, the other weighs 18.65 ounces. How much does the box weigh?
Answer:
add the amount of the bags. you will end up with 38.70 Oz. the subtract the number from the total and you ger 19.30 Oz. the box weighs 19.30 oz.
Can you please help me?
Answer:
59 + 163 + x = 360
(cus a circle is 360 degrees ya feel me boi?)
x = 360 - 59 - 163
x= 138
Don't do drugs kids. Stay in school. Chase morality.
Step-by-step explanation:
Answer:
1. +17°
2.x=138°
Step-by-step explanation:
1. (Counted on my fingers lol -8 to 9)
2. 163+53=222
360-222=138
there are 4 birds and 6 snakes. what is the ratio of birds to total animals?
Answer: 4:10
Step-by-step explanation:
I need help please lol
Answer:
48.75
Step-by-step explanation:
A bicycle trail in the shape of a circle has a diameter of 3 miles. Michelle biked around the trail 4 times. About how far did Michelle bike? A. 19 miles B. 28 miles C. 38 miles D. 113 miles
Answer:
C
Step-by-step explanation:
The circumference of a circle can be found by multiplying the diameter by pi. Therefore, the circumference of the circle is about 9.5 miles, and biking around it 4 times would be about 38 miles. Therefore, the correct answer is choice C. Hope this helps!
A simple random sample with n = 56 provided a sample mean of 22.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)
a) Develop a 90% confidence interval for the population mean.
b) Develop a 95% confidence interval for the population mean.
c) Develop a 99% confidence interval for the population mean.
a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).
b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).
c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).
To develop confidence intervals for the population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
where the standard error is equal to the sample standard deviation divided by the square root of the sample size.
a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.
From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.
The standard error can be calculated as:
Standard Error = sample standard deviation / sqrt(sample size)
Standard Error = 4.4 / sqrt(56)
Standard Error ≈ 0.5882
Now we can calculate the confidence interval:
Confidence Interval = 22.5 ± (1.671 * 0.5882)
Confidence Interval = 22.5 ± 0.9816
Confidence Interval ≈ (21.52, 23.48)
b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.004 * 0.5882)
Confidence Interval = 22.5 ± 1.178
Confidence Interval ≈ (21.322, 23.678)
c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.678 * 0.5882)
Confidence Interval = 22.5 ± 1.574
Confidence Interval ≈ (20.926, 24.074)
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(Will mark brainiest if 2 people answer)
Use the graph to answer the question.
Determine the line of reflection.
Reflection across the X-axis
Reflection across the Y-axis
Reflection across x = −5
Reflection across y = 3
Answer:
Reflection across x = -5
Sam goes to an amusement park with $44 to spend. It costs $5 to enter the park, and then $3 per ride.
1. What question would accurately represent the situation?
2. How much money does Sam have left after 5 rides?
3. How many rides could Sam take before he runs out of money?
If anyone can help me with this that will be amazing. Thank you so much!
Answer:
Given and explained below.Explanation:
Here y represents money left, x represents numbers of rides.solve:
1.
y = 44 - 5 - 3x
y = 39 - 3x
2.
y = 39 - 3x
y = 39 - 3(5)
y = 39 - 15
y = 24
3.
y = 39 - 3x
0 = 39 - 3x
-39 = -3x
x = 13
He can total ride 13 rides before he runs out of money.
PLZZ HELPPP In the parallelogram above AE is 5x+6. EC is 3x+12 and DE is 9x. What is the length of AC?
Answer:
21+21= 42 I hope it helps you❤
Step-by-step explanation:
5x+6=3x+12
2x=6
x=3
May 23, 8:49:32 PM
Watch help video
In physics lab, Austin attaches a wireless sensor to one of the spokes of a bicycle
wheel spinning freely on its axle. The sensor's height above the ground, in
centimeters, is given by the function h(t) = 7.46 cos(2(t-0.25)) + 38.86,
where t is time measured in seconds.
What is the minimum and what does it represent in this
context?
The minimum is 29 cm and it represents the sensor's minimum height above the ground.
How to interpret the graph of a cosine function?In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):
y = Acos(Bx - C) + D
Where:
A represents the amplitude.B = 2π/P.P represents the period.C represents the phase shift.D represents the center line (midline).By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.
In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Which expression has the greatest value?
3÷16
5÷16
5÷12
3÷12
Answer:
The correct answer is 5÷12
The sum of a number and 9 is 21. Find the number.
Answer:
12
Step-by-step explanation:
A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar.
From this sugar mixture, set aside 1/4 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?
A.) 17/24
B.) 11/24
C.) 1/2
D.) 7/12
Answer:
C) 1/2
Step-by-step explanation:
We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.
From this sugar mixture, 1/4 cup is set aside for the crumb topping.
To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.
We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)
3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.
1/4 cup is set aside for the crumb topping.
So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup
I need help, please?
Answer:
The answer is 21
Step-by-step explanation:
6+6 bc the other side is the same as the one that has 6. 6+6+9=21
Which three-dimensional figure does NOT have a vertex? (a) cylinder (b) rectangular prism (c) rectangular pyramid (d) triangular prism