130 estimated to the nearest integer is 130 itself as 130 itself is an integer.
What are Integers?Integers are numbers which includes the set of natural numbers, 0 and the negatives of all those natural numbers.
Set of integers are usually denoted as Z.
A number is normally rounded to the nearest integer when it is decimal.
First we have to look at the tenths place.
When the digit in the tenths place is 5 or numbers greater than 5, then increase digit in the ones place by 1.
If the digit in tenths place is less than 5, then leave the ones place as such.
Suppose that the number is 1.30.
Then the digit in tenths place is 3, less than 5. So leave the digit in one place which is 1, as such.
So 1.30 rounded to the nearest integer is 1.
Here 130 itself is an integer.
Hence 130 rounded to nearest integer is 130.
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factoriser les expressions :
16x+4
Answer:
4(4x+1)
Step-by-step explanation:
16x+4
Factor out 4,
4(4x+1)
given that the electricity for home use is 5 cents per kilowatt-hour (kwh), how much would it cost to operate 5 fluorescent 40w light bulbs for the months of april and may if they are on for 3 hours/day?
The total cost to operate 5 fluorescent 40w light bulbs for the months of April and May if they are on for 3 hours/day is given as follows:
$1,830.
How to obtain the total cost?The total cost is obtained applying the proportions in the context of the problem.
The number of kilowatt hours is given as follows:
200 kw in total per day, as 5 bulbs of 40 kw -> 40 x 5 = 200 kw.Bulbs are on for 30 + 31 = 61 days.Each day, the bulbs are on for 3 hours.Hence:
200 x 61 x 3 = 36,600 kwh.
The cost is of $0.05 per kwh, hence the total cost is given as follows:
0.05 x 36600 = $1,830.
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The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit. True/False?
The statement is True ' The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit"
A supply curve: what is it?
The relationship between the quantity of a good that a producer is willing to sell and the price of the good is graphically represented by the supply curve in economics.
The maximum price a producer will accept to sell a given quantity of the good is represented by the height of the supply curve at that quantity.
As a result, the minimum price necessary to persuade a producer to supply the 100th unit of the good is represented by the height of the supply curve at a quantity of 100.
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(Right answers only. please help thanks)
A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 10 and three-fifths inches. The side to the right of the base is 6 inches. The small side parallel to the base is 4 and one-fifth inches. There are two sides that form a point at a right angle. The smaller is 4 inches, and the larger is 5 inches.
What is the area of the shape for the quilt block?
73 3/5 in
41 4/5 in
83 3/5 in
147 1/5 in
Answer: 83 3/5
Step-by-step explanation:
hope this helps !! :3
if a t test yields p > 0.05 the null hypothesis would normally be: select one: a. accepted. b. rejected. c. accepted under certain conditions. d. there is not enough information for you to evaluate the findings.
if a t test yields p > 0.05 the null hypothesis would normally be option (A) accepted
The null hypothesis defined as the types of hypothesis that do not have any statistical significance exist in the given set of observation.
The p value is defined as the measurement that is used to validate the hypothesis using the observed data. The range of the p value varies from zero to one. Zero means no chance and 1 means absolute certainty
If a t test yields a p-value greater than 0.05, it means that there is insufficient evidence to reject the null hypothesis, and the results are not statistically significant. Therefore, the null hypothesis is accepted.
Therefore, the correct option is (A) accepted
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12 - 1 / 5r = 2r + 1
Answer: r = 5
Step-by-step explanation:
Nathan was bored. He went outside to find something to do. His mother was planting flowers. Nathan offered to help her. They planted flowers from 2:40 p.m. until 5:10 p.m. They talked and had a good time together. How long did Nathan and his mother work together?
Answer: 2 hours and 30 minutes
Step-by-step explanation:
Determine whether the functions are inverses. F(x)=3x+6
g(x) x+5/3
The given functions f(x) = 3x + 6 and g(x) = (x+5)/3 are not inverses of each other, as their compositions of functions are not equal.
When we want to check if two functions are inverses of each other, we need to verify if composing the functions in both orders results in the input variable. In other words, we need to check if (f ∘ g)(x) = x and (g ∘ f)(x) = x, where f and g are the two functions.
For this problem, we have two functions:
f(x) = 3x + 6
g(x) = (x + 5)/3
Let's start by computing (f ∘ g)(x):
(f ∘ g)(x) = f(g(x)) = f((x + 5)/3) = 3((x + 5)/3) + 6
We can simplify this by canceling the 3's:
(f ∘ g)(x) = x + 5 + 6 = x + 11
Now let's compute (g ∘ f)(x):
(g ∘ f)(x) = g(f(x)) = g(3x + 6) = ((3x + 6) + 5)/3
Again, we can simplify this by canceling the 3's:
(g ∘ f)(x) = (3x + 11)/3
We can see that neither (f ∘ g)(x) nor (g ∘ f)(x) is equal to x, so we can conclude that the functions f(x) = 3x + 6 and g(x) = (x + 5)/3 are not inverses of each other.
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A large rectangular movie screen in an IMAX theater has an area of 11,224 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide
With an area of 11,224 square feet and the dimensions of the screen if it is 30 feet longer than it is wide, the width of the screen is 91.5 feet, and the length of the screen is 121.5 feet.
Let's call the width of the screen "w". Then, the length of the screen would be "w + 30". The area of the screen is 11,224 square feet, so we can set up an equation:
w * (w + 30) = 11,224
Expanding the right side of the equation, we get:
w^2 + 30w - 11,224 = 0
We can use the quadratic formula to solve for w:
w = (-b ± √(b^2 - 4ac)) / 2a
Where a = 1, b = 30, and c = -11,224.
Plugging in the values, we get:
w = (-30 ± √(30^2 - 4 * 1 * -11,224)) / 2 * 1
= (-30 ± √(900 + 44,896)) / 2
= (-30 ± √(45,796)) / 2
= (-30 ± 213) / 2
Taking the positive solution, we get:
w = (183 / 2) = 91.5 feet
So the width of the screen is 91.5 feet, and the length of the screen is 91.5 + 30 = 121.5 feet.
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In a survey of 20 sophomores at a high school, 8 students said that they would prefer a class field trip to an amusement park, rather than a museum. The sophomore class has 150 students. Predict the number of sophomores who prefer a class trip to an amusement park.
Answer:
60 sopomores
Step-by-step explanation:
Let X denote the event prefer amusement park on a field trip
The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results
P(X) = 2/5
Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip
E(X) - P(X) x N where N is the total number of sophomores
E(X) = 2/5 x 150 = 60
Hayden use 2.25 cups of water in his lemonade mixture that serves nine people Christian use 3.75 cups of water in his own lemonade mixture that serves 10 people how much more water is in one serving of Christians lemonade.
One serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.
What is lemonade?Lemonade is a sweetened beverage made from lemon juice, water, and sugar. It is typically served cold, and may also include other ingredients such as fruit, herbs, or carbonated water. Lemonade is a popular summer drink that is enjoyed in many parts of the world.
First, we can find the amount of water per serving in Hayden's lemonade by dividing the total amount of water (2.25 cups) by the number of servings (9 people):
Water per serving in Hayden's lemonade = 2.25 cups / 9 = 0.25 cups per serving
Next, we can find the amount of water per serving in Christian's lemonade by dividing the total amount of water (3.75 cups) by the number of servings (10 people):
Water per serving in Christian's lemonade = 3.75 cups / 10 = 0.375 cups per serving
To find how much more water is in one serving of Christian's lemonade compared to one serving of Hayden's lemonade, we can subtract the water per serving in Hayden's lemonade from the water per serving in Christian's lemonade:
Water per serving difference = 0.375 cups per serving - 0.25 cups per serving = 0.125 cups per serving
Therefore, one serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.
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What is the measure of the smallest angle?
one line has 2x #2 had 3x - 11 #3 had 2x + 9
67°
69°
52°
61°
In the preceding equation the measure of the smallest angle is 52° in length.
What are the names of angles 2 and 3?Internal angles 2 and 3 are alternate options. Two angles that share a vertex and a side but no interior points in common. two angles that don't have any shared interior points but do have a common vertex and side.
We know that a triangle has 180 angles altogether.
So, 2x + 3x - 11 + 2x + 9 = 180
7x - 2 = 180
7x = 180 + 2
x = 182 / 7
x = 26
Now, magnitude of angles = 2x = 2(26) = 52 [ Smallest ]
3x - 11 = 3(26) - 11 = 78 - 11 = 67 [ Largest ]
2x +9 = 2(26) + 9 = 52 + 9 = 61
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A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input 1 2 3 4 n
output 9 13 17 21
Answer:
y = 4n + 5
Step-by-step explanation:
y is your output and n in your input
y = 4n + 5
When the input is 1, the out put is 9
y = 4n + 5
y = 4(1) + 5
y = 4 + 5
y = 9
When the input is 2, the output is 13
y = 4n + 5
y = 4(2) + 5
y = 8 + 5
y = 13
And so on and so on....
A trail map has a scale of 3 in. : 2 mi. On the map,
a trail is 5 in. long.
How long is the actual trail?
0 1/mi
O2 mi
O O
12
3-mi
O 07 mi
Answer:
Step-by-step explanation:
in: mi
3:2
5:x
3*1.6667=5
2*1.6667=3.3334/
becaus the first answer was rounded up, the last one needs to be rounded down.
so the answer, rounded up to the nearest hundredth is 3.34
(rounded up to the nearest whole number is 3)
Mr. Stanley owns a farm measuring 24m long and 40m wide. If he wants to plant in squares, what is the largest sized square he can use?
The largest square that Mr. Stanley can use to plant in his farm is a square with a side length of 8 meters.
To find the greatest common factor of 24 and 40, we can list the factors of both numbers and find the highest factor that they have in common:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The highest factor that 24 and 40 have in common is 8.
Factors are numbers that can be multiplied together to get a given number. For example, the factors of 6 are 1, 2, 3, and 6 because 1 x 6 = 6 and 2 x 3 = 6. Factors can be prime or composite. Prime factors are those that are only divisible by 1 and themselves. Composite factors are those that have more than two factors.
Factors are important in math because they can be used to simplify fractions, find common denominators, and solve equations. They also play a crucial role in number theory and cryptography, where they are used to encrypt and decrypt messages. 150 is a composite number, which means it has factors other than 1 and itself. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. To find these factors, you can divide 150 by each number smaller than it and see if the remainder is 0.
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Psychology and Human Behavior The mattress company Amerisleep recently conducted a survey and concluded that more than half of all Americans sleep on the job, but the type of work and salary affect how often people grab some shut eye. 41 Suppose that the mean number of naps per month on the job by a randomly selected American worker is four. A. What is the probability that a randomly selected American worker does not take a single nap during a month? One nap? Two naps? B. Suppose two American workers are selected at random. What is the probability that the total number of naps for the two Americans during a month is zero? One? Two? C. Suppose the mean number of times per month an American worker naps on the job is eight. What is the probability that a randomly selected American worker does not take a single nap during a month? One nap? Two naps? D. How do your answers in parts (b) and (c) compare? What property does this suggest about a Poisson random variable?
A. The probability of no nap is 0.390625, one nap is 0.234375 and two naps is 0.156250. B. The probability of zero naps is 0.152587890625, one nap is 0.3076171875, and two naps is 0.146484375. C. The probability of no nap is 0.02734375, one nap is 0.14453125, and two naps is 0.271484375. D. The probability of no naps decreases as the mean number of naps increases.
A. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of no nap (x=0) is 0.390625, one nap (x=1) is 0.234375, and two naps (x=2) is 0.156250.
B. We can calculate the probability of zero naps, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of zero naps (x=0) is 0.152587890625, one nap (x=1) is 0.3076171875, and two naps (x=2) is 0.146484375.
C. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is eight, so the probability of no nap (x=0) is 0.02734375, one nap (x=1) is 0.14453125, and two naps (x=2) is 0.271484375.
D. We can see from the answers in (b) and (c) that the probability of no naps decreases as the mean number of naps increases, suggesting that a Poisson random variable follows a decreasing probability distribution.
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2. The product of two rational numbers is 4/25
. If one number is −6/5
, find the other number.
Answer:
Step-by-step explanation:
If the product of two rational numbers is 4/25, we can write the equation:
(x) * (-6/5) = 4/25
where x is the other number.
Expanding the equation:
x * -6/5 = 4/25
Multiplying both sides by 5 to get rid of the fraction on the right-hand side:
5 * x * -6/5 = 5 * 4/25
x * -6 = 4
Dividing both sides by -6:
x = -4/-6
x = 4/6
So, the other number is 4/6.
Answer:
So the other number is -[tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Let x be the number.
We know,
(-[tex]\frac{6}{5}[/tex]) × x = [tex]\frac{4}{25}[/tex]
-[tex]\frac{6}{5}[/tex] × x = [tex]\frac{4}{25}[/tex] (By expanding the left side of the equation)
Dividing both sides by -[tex]\frac{6}{5}[/tex]
x = - [tex]\frac{4}{25}[/tex] × -[tex]\frac{6}{5}[/tex]
After simplifying the equation ,
x = -[tex]\frac{4}{3}[/tex]
So the number is -[tex]\frac{4}{3}[/tex].
Use the following data sets to answer the question.
Set {12, 9, 30, 1, 15, 10,
A:
12}
Set
B:
9, 30, 12, 3, 16, 11,
18}
Which statement about the shape of the data is true?
Both sets have the same median, but Set A has a larger mean.
O Both sets have the same median, but Set B has a larger mean.
O Set B has a larger mean and median than Set A.
O Set A has a lower median but a higher mean than Set B.
Answer:
Both have the same median but set A has a larger mean.
Step-by-step explanation:
You're welcome.
Last one I promise!
In science class, Brandi estimates the mass of a sample to be 107 grams. The actual mass of the sample is 104 grams. Find the percent error of Brandi’s estimate. Round your answer to the nearest tenth.
The percent error of Brandi’s estimate to the nearest tenth is equal to 2.9%.
What is percentage error?In Mathematics, percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental value (numerical) differs from the actual (theoretical) numerical value.
Mathematically, percentage error can be calculated by using this expression;
Percent error = {experimental value - actual value}/{actual value} × 100
By substituting the given parameters into the percentage error formula, we have;
Percent error = {107 - 104}/{104} × 100
Percent error = 3/104 × 100
Percent error = 0.029 × 100
Percent error = 2.9%.
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five times a number is at most 15 what are the possible values for the number
Answer:
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
Step-by-step explanation:
5x <= 15
Next, we'll solve for x by dividing both sides by 5:
x <= 3
So, the possible values for the number are any value less than or equal to 3, including negative numbers.
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
The diameter of each of the three circular lights in a traffic signal is 7 inches. In this activity, you will find the total area of the three lights.Part C What is the total area of all three circular lights?
Answer:
The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. If the diameter of each circular light is 7 inches, the radius would be half of that, or 3.5 inches.
Therefore, the area of one circular light would be:
A = π * 3.5^2 = 3.5^2 * π = 12.25 * π square inches.
Since there are three circular lights, the total area of all three would be:
3 * 12.25 * π = 36.75 * π square inches.
Step-by-step explanation:
pls mark brainlist
The distance between Dallas and Houston is about 364 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two towns?
Answer: Approximately 226 miles
Step-by-step explanation:
Km. to Mi.
364 = 226
An aeroplane flies 1400km in 1h 45mins.how far will it fly in 2h 30min at the same avarage speed?
Answer:
The aeroplane will fly 2000 km if travelling at the same average speed.
Step-by-step explanation:
To calculate the distance an aeroplane will fly in 2 h 30 min if it flies 1400 km in 1 h 45 mins, use the Speed Distance Time formula.
[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]
There are 60 minutes in one hour. Therefore:
1 h 45 mins = 1.75 hours2 h 30 mins = 2.5 hoursTo calculate the speed of the aeroplane, divide the distance by the time it takes to travel that distance. Therefore, if an aeroplane flies 1400 km in 1.75 hours then its average speed is:
[tex]\sf Speed=\dfrac{1400\;km}{1.75\;h}=800\;km/h[/tex]
To determine the distance the aeroplane will travel in 2.5 hours, multiply the found speed of 800 km/h by the time:
[tex]\sf Distance=800\;km/h \times 2.5\;h=2000\;km[/tex]
Therefore, the aeroplane will fly 2000 km in 2 h 30 min if travelling at the same average speed.
11. Suppose that the volume of four stars in the Milky Way are: 1.3 × 1024 km3, 6.9 x
1015 km3, 3.4 x 1015 km3, and 2.7 x 1024 km3. What is the order of the stars from least to greatest volume? (Im giving 30 points so pls show work)
Which digit(s) makes 3,71_ divisible by 3?
A. 3 only
B. 7 only
C. 1 only
D. 1, 4, and 7
Answer: I think B. 7 only
Step-by-step explanation: I hope this helps and I hope everyone is having a good day/Friday&weekend^^
How many times dose 6 go into 18
Answer:
3 times
Step-by-step explanation:
6 x 3 = 18
Answer:
3
Step-by-step explanation:
18/6 = 3
or
6 + 6 + 6 = 18
PLS HELP ITS A TESTTTT
Answer:
14)37
15)16
16)38
17)C
Step-by-step explanation:
14)7*4+9=28+9=37
15)42/7+10=6+10=16
16)-5*(-6)+8=30+8=38
If the sum of 3 consecutive numbers is 114 find the numbers? WILL MARK BRAINLIEST!:)
If the sum of 3 consecutive even numbers is 114, we can represent the numbers as x, x+2, and x+4.
The sum of the three numbers is:
x + (x+2) + (x+4) = 3x + 6
We know that the sum is 114, so we can set up the equation:
3x + 6 = 114
Subtracting 6 from both sides gives:
3x = 108
Dividing both sides by 3 gives:
x = 36
Therefore, the three consecutive even numbers are 36, 38, and 40.
Answer:
37, 38, 39
Step-by-step explanation:
let the 3 consecutive numbers be
n , n + 1 , n + 2
then summing and equating to 114
n + n + 1 + n + 2 = 114
3n + 3 = 114 ( subtract 3 from both sides )
3n = 111 ( divide both sides by 3 )
n = 37
n + 1 = 37 + 1 = 38
n + 2 = 37 + 2 = 39
the 3 consecutive numbers are 37 , 38 , 39
Mr. Powell manages a department store and needs an easy way to look up products on the
computer. He wants to assign each product in his department a unique code that will be the sa
number of letters long and use only the letters A, B, and C in the code. How many letters long
each code need to be so that Mr. Powell can account for all 1, 510 products?
O 12
06
07
O 504
The required number of letters to code for 1510 products is given as 7 letters.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets.
Here,
There are 3 possibilities for a letter,
Suppose we need n letters
so 3ⁿ > 1510
Since we need to code for 1510 products that means 3ⁿ must be greater than 1510
So
3⁶ < 1510
3⁷>1510
Thus, the required number of letters to code for 1510 products is given as 7 letters.
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If a²=b+c,b² = c+a and c² = a +b, prove that: (1/a+1)+(1/b+1)+(1/c+1)=1
The proof is as shown below
How to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
If a² = b + c , b² = c + a and c² = a + b
We want to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1
Since a² = b + c
a²+a = a + b + c
a (a+1) = a + b + c
a+1 = (a + b + c)/a
Repeat the same process for b² = c + a and c² = a +b, we have:
1 + b= (a + b + c)/b
1 + c =(a + b + c)/c
Substitute the values 1+a, 1+b and 1+c into 1/(a+1) + 1/(b+1) + 1/(c+1):
1/(a+1) + 1/(b+1) + 1/(c+1) = a/(a+b+c) + b/(a+b+c) + c/(a+b+c) (Taking LCM)
= (a+b+c )/ (a+b+c ) = 1
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