Answer:
216 units
Step-by-step explanation:
To find the distance, add the absolute values
I -49 I + I 167 I = 49 + 167 = 216 units
The distance AB rounded to the nearest tenth = [ ? ]
Answer:
4.5 units
Step-by-step explanation:
To get the distance we need the coordinates of the points
A is ( 3,1)
B is (-1,-1)
Let A be (x1,y1) and B be (x2,y2)
So applying the formula, we have the distance as;
D = √(-1-3)^2 + (-1-1)^2
D = √(16 + 4)
D = √20
D = 4.5 units
A skydiver falls 180 feet in three seconds. How far does the
skydiver fall per second?
a random sample of 25 white-collar employees was obtained and the sample mean was 44 hours worked per week with a sample standard deviation of 8 hours. is there evidence to suggest that the true population mean number of hours worked per week is more than 40 hours? assume the underlying distribution is normal.
based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.
To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).
Let's set up the null and alternative hypotheses:
Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.
Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.
We'll use a significance level (alpha) of 0.05.
Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
t = (44 - 40) / (8 / sqrt(25))
t = 4 / (8 / 5)
t = 2.5
We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.
Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.
In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.
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The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950
The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.
To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.
Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.
We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.
We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.
Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.
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1% off 100 =
Someone pls help
Answer:
1 ofc
Step-by-step explanation:
Think of it:
1% is pretty much \(\frac{1}{100}\)
so the equal to that is 1
I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages
does the order of the quantities in an inequality matter
Yes, the order of the quantities in an inequality matters, and examples are given to show why.
Why does the order of the symbols matter in an inequality?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.It is known that the number 5 is greater than the number 3, hence the inequality that describes these numbers is given as follows:
5 > 3.
However, if we tried to apply the commutative property, that is, changing the order of the numbers, we would have that:
3 > 5.
Which is a false statement, as the number 3 is less than the number 5, and not more.
This shows that the order of the symbols in an inequality in fact does matter.
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Find the area of this regular polygon if s = 11 and a = 8
Answer:
599.401
Step-by-step explanation:
Using the diagram below, correctly identify the angle using the three CAPITAL letter designation.Angle______is a linear pair with respect to angle ACF.
From the image given, angle BCF is a linear pair with ACF as both of them are on a straight line and add up to 180 degres
BCF
MRS.FRANKLIN RECeived a 7% raise at her new job. if she was earning x dollars per year before, how much is she earning now?
Answer:
Step-by-step explanation:
There are two ways to do this.
Her current pay is C
Her previous pay is x
C = x + 7/100 * x
Or you could combine x and 7% of x immediately
7/100 x = 0.07x
C = 1.07 * x
Answer:
x times 107%
Step-by-step explanation:
If Mrs. Franklin received a 7% raise on x salary she would now be earning 7% more than x. To find this we can easily multiply x by 107% since she is earning 7% more than her previous salary, or x, and get our answer.
Brainliest pls... ∪ω∪
Kyla works as a receptionist. Last week she made $236.40 for working 24 hours. About how many hours would she need to work to earn $325?
Answer:
32.99
Step-by-step explanation:(you might have to round) if you have to round it or.. but this is it because
236.40 divided by 24 is 9.85 so
325 divided by 9.85 is 32.99 (you only need 2 decimal places for these kinds of questions because of repeating decimals).
Hope this helps :)
The area (A) under a curve is equal to the sum of the areas of n rectangles, taking the limit as n approaches infinity. Which is the correct mathematical representation of the area?What's the answer? A,BC, or D?
The area of each k-th rectangle is
\(\begin{gathered} f(x_k)\cdot\Delta x_{} \\ \\ \text{where }f(x_k)\text{ is the height of rectangle k, and }\Delta x\text{ is the side of each rectangle} \end{gathered}\)Thus, after summing the areas of the n rectangles, we obtain:
\(\sum ^n_{k=1}(f(x_k)\cdot\Delta x_{})\)Then, to find the area under the curve we need to take the limit as n approaches infinity. So, we obtain:
\(\lim _{n\to\infty}\sum ^n_{k=1}(f(x_k)\cdot\Delta x_{})\)Therefore, option A is correct.
Answer:
The answer is A in the picture above
Step-by-step explanation:
I took the test with 100 percent, im confident in my answer.
have a great day
A television is priced at $298.50. There is a 6% sales tax rate. What is the cost of the television, including tax?
Answer:
total = 316. 41
Step-by-step explanation:
6% of 298.50 = 17.91
298.50 + 17.91= 316.41
How do you Simplify the expression. –3x(4–5x) + (3x + 4)(2x – 7)
The simplified expression is \(21x^2 - 25x - 28\) in the given case.
An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.
"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.
To simplify the expression, first distribute the -3x and (3x + 4) terms:
\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)
Next, combine like terms:
\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)
Therefore, the simplified expression is \(21x^2 - 25x - 28.\)
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a family on a trip budgets $800 for sit-down restaurant meals and fast food. if the price of a fast food meal for the family is $20, how many such meals can the family buy if they do not eat at restaurants? group of answer choices 8 15 20 40 160
Answer:
If the family has $800 for sit-down restaurant meals and fast food and they budgeted all of it for fast food, then they can buy $800/$20 = 40 fast food meals.
Step-by-step explanation:
yw;)
Answer:
40
Step-by-step explanation:
No. Of Meal=Budget/price of Meal
=800/ 20
=40
Slope intercept and all that stuff
Answer:
what?
Step-by-step explanation:
PLEASE PLEASE HELP!!!!!!!!
9514 1404 393
Answer:
326.6 square inches3402 square feetStep-by-step explanation:
The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.
The total surface area is given by the formula ...
SA = 2πr(r +h)
For one box, the area is ...
SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box
__
There are 144 square inches in a square foot, so the area required for 1500 boxes is ...
(1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes
Edwin has £300 in his saving account
His bank offers him a fixed 5% simple interest rate per annum for a period of 3 years
How much interest will he have earned after 3 years ?
Answer:
michin babo-e daehae museun mal-eulhaneungeoya
Destiny is 56 3 4 inches tall. Glen is 1 1 2 inches taller than Destiny and Jane is 1 1 5 inches taller than Glen. How tall is Jane
By simple algebra, Jane is 57 9/20 inches taller.
In math, what does taller than mean?If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.
You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:
54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.
Dwight stands at 56 1/4 inches.
Dwight is 1 1/5 inches shorter than Jane, so
56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.
Jane stands at 57 9/20 inches.
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What measure of center should we use to describe the invasive crab problem in the mid-Atlantic region? Median, Mode or Mean
Answer:
i would go with Mean. Although I’m not entirely sure since the question seems pretty vague
Step-by-step explanation:
Answer:
Its the mean!
Step-by-step explanation:
I got it right on I-Ready!:))
Write the equation of
a line in slope
intercept form that
has a slope of -3/4
and a y intercept at
2.
Answer:
slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
Step-by-step explanation:
The distance between the point (-3,4) and the point of origin
Answer:
5
Step-by-step explanation:
1) origin point is (0;0);
2) the required distance is:
\(d=\sqrt{(-3-0)^2+(4-0)^2} =5.\)
Add the two functions.
f(x) = 3x3 + 7x − 26
g(x) = x + 2
Answer:
1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C
2. G ( x ) = 1/2X^2 + 2x + C
Tristan has $18 in his wallet. He plans to spend $3 per day on lunch. The equation y=−3x+18 represents the total amount of money he has after x days. Graph the equation.
The price of a liter of petrol was aed 2. 86 yesterday. Today, the price is aed 2. 79. What is the percentage decrease? round your answer the nearest hundredth.
Answer:
2.45%
Step-by-step explanation:
(2.86 - 2.79) / 2.86 = 0.0245
0.0245 x 100 = 2.45%
answer the ones you want to. At least answer one…
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer:
9. First Five terms
If n=0. Then,
\( \frac{4(0) - 5}{2}\)
\( \frac{0 - 5}{2} = \frac{ - 5}{2} \)
If n=1. Then,
\( \frac{4(1) - 5}{2} \)
\( \frac{4 - 5}{2} = \frac{ - 1}{2} \)
If n=2. Then,
\( \frac{4(2) - 5}{2} \)
\( \frac{8 - 5}{2} = \frac{3}{2} \)
If n=3. Then,
\( \frac{4(3) - 5}{2} \)
\( \frac{12 - 5}{2} = \frac{7}{2} \)
If n=4. Then,
\( \frac{4(4) - 5}{2} \)
\( \frac{16 - 5}{2} = \frac{11}{2} \)
If n=5. Then,
\( \frac{4(5) - 5}{2} \)
\( \frac{20 - 5}{2} = \frac{15}{2} \)
If n=6. Then,
\( \frac{4(6) - 5}{2} \)
\( \frac{24 - 5}{2} = \frac{19}{2} \)
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)
Answer:
318.6
Step-by-step explanation:
(3x-9) + (x+15) = 180
3x (x+15) -9 (x+15)
4x + 45x - 9x + 6 = 180
40x + 6 = 180
40x = 180 - 6
40x = 174
x = 4.34
(3x-9) = 4.34 * 3x-9 = 4.02
(x+15) = 4.34 + 15 = 19.34
180 - (4.02 + 19.34)
= 180 - 23.36
= 156.64
hope this answer helps!!
HELP FAST GIVING 20 pts
Answer:
C
Step-by-step explanation:
distance over time equals speed
.
A survey was conducted to see how the teachers at Blue Pacific School District volunteer. Forty-four teachers volunteer at an animal shelter. How many teachers volunteer at a senior center?
Enter your answer in the box
The number of teachers volunteer at a senior center are 33.
Given that, forty-four teachers volunteer at an animal shelter.
From the given circle chart,
20% at an animal shelter.
Let the total number of teachers be x.
Here, 20% of x=44
20/100 ×x=44
1/5 ×x=44
x= 220
15% at a senior center
Here, 15% of 220
= 15/100 ×220
= 0.15 ×220
= 33
Therefore, the number of teachers volunteer at a senior center are 33.
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1.Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 40 minutes to setup the equipment, and each cupcake in the batch takes 1.25 minutes to process. Each unit in the batch must wait for the entire batch to be processed before moving on to packaging. What is the throughput capacity (in cupcakes and/or minutes) of the icing stage? Pick the closest answer.
.6
.8
1
1.25
1.65
2
2. Refer to the previous question. What is the throughput time for a batch of cookies, in minutes? Pick the closest answer.
1.25
2.5
40
125
140
The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.
The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).
Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake
Throughput capacity = 100 cupcakes / 1.25 minutes
Throughput capacity = 80 cupcakes per minute
The closest answer is 80 cupcakes per minute, so the correct option is .8.
The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.
Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)
Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)
Throughput time = 40 minutes + 125 minutes
Throughput time = 165 minutes
The closest answer is 165 minutes, so the correct option is 165.
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The graph of a linear function is shown.
A coordinate plane with a straight line drawn passing through (negative 5, negative 3) and (5, negative 3).
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
the answer is undefined
Step-by-step explanation: