Answer:
6.7 ≈ 7
Step-by-step explanation:
Rounding rule x is supposed to be the decimal for this example
\(\mathrm{.x < 0.5}\) round down\(\mathrm{.x = 0.5}\) round up(or keep the same)\(\mathrm{.x > 0.5}\) round upI hope that example helps you understand. If you have any concerns, ask me, but otherwise, have a great day!
Eber bought a new pair of baseball cleats for $64.95. The sales
tax is 5.5%. What is the total cost that Eber will pay?
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
28 yd²
Step-by-step explanation:
finding the area of a triangle is (base * height) / 2.
(14*4)=56
56/2=28
Factor the expression
7x^2 + 50x + 7
(Type your answer in factored form.)
Answer: (7x + 1)(x + 7)
Step-by-step explanation:
\($$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$\)
which statements are true about the reflectional symmetry of a regular heptagon? select two options. it has only 1 line of ref
the regular heptagon has only one line of reflectional symmetry, and it passes through the center of the heptagon. This property is common to all regular polygons, and it is related to their rotational symmetry.
The statements that are true about the reflectional symmetryof a regular heptagon are:
It has only one line of reflectional symmetry.
The line of reflectional symmetry passes through the center of the heptagon.
A regular heptagon is a polygon with seven equal sides and angles. Each vertex of the heptagon is equidistant from the center of the heptagon, and the lines connecting the center to the vertices divide the heptagon into seven congruent triangles.
To understand the reflectional symmetry of the regular heptagon, we need to define what it means. Reflectional symmetry is a type of symmetry where a figure is symmetric with respect to a line. In other words, if we fold the figure along this line, one half will coincide with the other half.
In the case of the regular heptagon, we can observe that if we draw a line passing through the center of the heptagon and perpendicular to any of its sides, we obtain a line of reflectional symmetry. This line divides the heptagon into two congruent halves. However, if we draw any other line of reflectional symmetry, it will not coincide with the sides of the heptagon, and therefore, it will not divide the heptagon into congruent halves.
Therefore, we conclude that the regular heptagon has only one line of reflectional symmetry, and it passes through the center of the heptagon. This property is common to all regular polygons, and it is related to their rotational symmetry.
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What is the round trip distance in miles from city 1 to city 3?
15
30
50
70
The round trip distance in miles from city 1 to city 3 is given as follows:
30 miles.
How to obtain the round trip distance?The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.
Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.
For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:
2 x 15 = 30 miles.
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Heritage Company uses a job-order costing system to assign costs to jobs. It had no work in process or finished goods inventories on hand at the beginning of May. The table below provides data concerning the only three jobs worked on in May.
Job X Job Y Job Z
Direct labor hours 200 80 120
Direct materials $ 4,800 $ 1,800 $ 3,600
Direct labor $ 2,400 $ 1,000 $ 1,500
Jobs X and Y were completed in May; however, only 150 of the 200 units included in Job X were sold in May, whereas all 100 of Job Y’s units were sold in May. Job Z was not completed by the end of the month.
Overhead costs are applied to jobs based on direct labor-hours and the predetermined overhead rate is $45 per direct labor-hour. The company’s total applied overhead always equals its total actual overhead.
Required:
Compute the amount of overhead cost that would have been applied to each job during May.
Compute the work in process inventory that would be reported in the company’s May 31 balance sheet.
Compute the finished goods inventory that would be reported in the company’s May 31 balance sheet.
Compute the cost of goods sold that would be reported in the company’s income statement for May.
a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:
Job X Job Y Job Z
Overhead applied $9,000 $3,600 $5,400
b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.
c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.
d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.
What is the predetermined overhead rate?The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.
The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).
Predetermined overhead rate = $45 per direct labor-hour
Job X Job Y Job Z
Direct labor hours 200 80 120
Direct materials $4,800 $1,800 $3,600
Direct labor 2,400 1,000 1,500
Overhead applied 9,000 3,600 5,400
($45 x 200) ($45 x 80) ($45 x 120)
Production costs $16,200 $6,400 $10,500
Unit costs of Job X $81 ($16,200/200)
Sold units of Job X = 150
Unsold units of Job X = 50 (200 - 150)
Work in process inventory = Job Z's total cost.
Finished Goods Inventory = $4,050 ($81 x 50)
Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)
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5 in
7 in
13 in
Necesito saber el perímetro y el área de esa figura
Answer:
yo no hablo
Step-by-step explanation:
Simplify using exponent properties (y⁶)² . (y¹⁰ ÷ y⁵) Show your work. Circle your final answer.
The expression (y⁶)² . (y¹⁰ ÷ y⁵) is simplified using the exponent properties to y^17
What are index forms?
Index forms of a number can simply be defined as the number written in the form of an exponential expression.
It is said to be a single number that is raised to another number.
Other names for index forms are standard form and scientific notation.
Numbers too large or small are written in index forms.
Note that the law of exponents states the following;
Exponents of numbers are to be added when numbers are multipliedExponents are to be subtracted when the numbers are dividedExponents are multiplied when they are raised to another exponent valueGiven the expression;
(y⁶)² . (y¹⁰ ÷ y⁵)
This is represented as;
y^12 × y^10/y^5
Using the law of exponents, we have;
y^12 × y^10-5
y^12 × y^5
Add the powers
y^12 + 5
y^17
Thus, the expression is simplified using the exponent properties to y^17
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MY
A circle with radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Col
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
MY
11 cm
Pro
Pro
Теа
5 cm
11 cm
cm2
2 of 4 OOO
Help
Step-by-step explanation:
Hi, there!!!
According to the question we must find the area of shaded region, but we must find area of circle and rectangle to find area of shaded region,
So, let's simply work with it,
Firstly, finding the area of rectangle,
length = 11cm.
breadth = 11cm.
now, area= length× breadth.
or, a = 11cm× 11cm.
a= 121cm^2
Now, let's work out the area of circle.
radius= 5cm
and pi. = 3.14 {using pi value as 3.14}
now,
area of a circle = pi× r^2
or, a= 3.14×5^2
or, a = 78.5 cm^2.
Therefore, The area of a circle is 78.5cm^2.
Now lastly finding the area of shadedregion,
area of shaded region = area of rectangle - area of circle.
or, area of shaded region = 121cm^2 - 78.5cm^2
Therefore, the area of shaded region is 42.5 cm^2.
Hope it helps...
The mean of these ages is 22.1 years. Use technology to compute the standard
deviation for the athletes' ages. Round to one decimal place.
Here is a list of the data point you might copy and paste into a spreadsheet:
25,24,23,26,19,19,20,29,20,23,21,16,22,18,17,17,16,20,22,20,16,19,29,22,17,20,24,21,22,17,19,22,26,20,29,29,21,27,22,28,33,28,22
The standard deviation is
years.
Answer: Using the data provided and a spreadsheet software, the standard deviation for the athletes' ages is approximately 4.5 years when rounded to one decimal place.
Step-by-step explanation:
It takes 16 cups of chicken broth to make a chicken soup recipe. How much is this in quarts?
Use the table below. Include the correct unit in your answer.
Volume
Unit
Symbol
Fact
fluid Ounce
fl oz
cup
с
1c = 8 fl oz
pint
pt
1 pt = 2c
quart
qt
1 qt = 2 pt
gallon
gal
1 gal = 4 qt
Answer:
Hi
Step-by-step explanation:
it's 4
Answer:
4 quarts
Step-by-step explanation:
the density of the copper is 9.86g/cm\(x^{3}\)
The mass of the cubic cuboid is 1.479 kilograms.
What is the mass of a copper cuboid?
Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:
m = ρ · V
Where V is the volume of cuboid, in cubic meters.
And the volume of cuboid is:
V = w · h · l
Where:
w - Width, in meters. h - Height, in meters.l - Length, in meters.Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.
First, calculate the volume of the cuboid:
V = (0.05 m) · (0.03 m) · (0.10 m)
V = 1.5 × 10⁻⁴ m³
Second, determine the mass of the cuboid:
m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)
m = 1.479 kg
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Enter the number that belongs in the green box
The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:
\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)
49 = 16 + 25 - 40*cos(C)
49 = 41 - 40*cos(C)
40*cos(C) = 41 - 49
40*cos(C) = -8
cos(C) = -8/40
cos(C) = -0.2
To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:
C = arccos(-0.2)
Using a calculator, we find that C ≈ 101.54 degrees.
Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
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were would he be at in 6 seconds
6 seconds later we can say that dwyane was running to the left of zero, because if he was running at 4 meters per second to the right when he passed the zero point, hence 6 seconds later he was on the left of the zero at the point -2.
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
PLEASE HELP FAST WILL MARK BRAINLIEST PLEASEEE
Answer:
\(\frac{8x^{18} }{y^{2} }\)
Step-by-step explanation:
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
Brand B contains 3% saline solution by volume. Then, C is the right answer.
Percentage of saline solution in brand B, let x be.
We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions. Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.) Please help me outtt!
HELLO
I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE
HERE YA GO <3
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Answer:
heyy i did this problem a while ago and got kinda stuck on it
In a random sample of 60 shoppers 12 said that they only buy products that are on sale. If there are 3000 shoppers at the mall today about how many would you predict only buy items on sale?
Answer:
Number of shopper buy from sale [3,000shopper] = 600 (Approx.)
Step-by-step explanation:
Given:
Number of shopper in mall = 60
Number of shopper buy from sale = 12
Find:
Number of shopper buy from sale if total number number of shopper are 3,000
Computation:
Number of shopper buy from sale [3,000shopper] = 3000[Number of shopper buy from sale/Number of shopper in mall]
Number of shopper buy from sale [3,000shopper] = 3000[12 / 60]
Number of shopper buy from sale [3,000shopper] = 3000[1/5]
Number of shopper buy from sale [3,000shopper] = 600 (Approx.)
4t+10 < 200, please help me
Answer:
here's the solution
4t + 10 < 200
4t < 200 - 10
4t < 190
t < 190/4
t < 47.5
hope it helps
Marsha deposited $6,000 into a savings account 4 years ago. The simple interest rate is 5%. How much money did Marsha earn in interest?
∠C and ∠D are complementary.
Let m∠C=(5x)° and m∠D=(7x−6)°.
What is the value of x?
Enter your answer in the box.
x =
Complementary angles have sum 90°
\(\\ \rm\Rrightarrow 5x+7x-6=90\)
\(\\ \rm\Rrightarrow 12x-6=90\)
\(\\ \rm\Rrightarrow 12x=96\)
\(\\ \rm\Rrightarrow x=8\)
Answer:
x = 8
Step-by-step explanation:
Complementary angles are two angles with measures that sum to 90°
Given:
m∠C = (5x)° m∠D = (7x − 6)°⇒ m∠C + m∠D = 90°
⇒ 5x + 7x - 6 = 90
⇒ 12x - 6 = 90
⇒ 12x = 96
⇒ x = 8
If you put all of the bean sprouts together end to end what
would be the total length of all the objects?
inches
Answer:
5.625 = 45/8 = 5 5/8
Step-by-step explanation:
The number of accidents per week at a hazardous intersection is a random variable with mean 6.3 and standard deviation 5.85. The distribution of the number of accidents is very right skewed. (a) Suppose we let X be the sample average number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that X is less than 5
Answer:
The probability that X is less than 5 cannot be determined.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
The distribution is right-skewed, which means that the central limit theorem can only be applied for a sample size of at least 30. Since the sample size is 9 < 30, the CLT cannot be applied, and thus the probability that X is less than 5 cannot be determined.
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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Hope you are having a good day and please help me
C is a circle with radius r. Which of the following is true? Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2
Answer:
A and C and E
Step-by-step explanation:
Circumference is = 2*pi*r
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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In his statistics class, Sam said, “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable. So, there will be one specific linear regression model that I can use to know the relationship of variables. I decided to use ordinary least square to have the best estimates for linear regression model parameters because ordinary lease square makes me find the linear regression equation with minimum average of difference between actual dependent variable and the value predicted by linear regression model.” Is Sam correct? If not, how do we need to fix his idea?
Answer:
Yes, Sam is correct and there is no need to fix his idea.
Step-by-step explanation:
Linear Regression model is one of the Important model that is been used in statistics especially in statistics which actively involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.
Just like Sam said in the question above, '' “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable...'', that is what linear regression is used for.
Answer:
Yes, obviously Sam is correct
Step-by-step explanation:
Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable
Linear Regression model is one of the Important model that is been used in statistics involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.
Which measure of central tendency best describes the data set below?
{1, 2, 3, 4, 5, 6, 12, 23}
A. the mean, 7
B. the mode, 4
C. the range, 22
D. the median, 4.5
Answer:
It is the mean
Step-by-step explanation:
Which measure of central tendency best describes the data set below?
{1, 2, 3, 4, 5, 6, 12, 23}
=mean
56 Divided by 8=7 mean=7
It’s a. the mean, 7 Or d. the median, 4.5
Write the equation of the line that has a slope of ½ and a y-intercept of -2.
Answer (assuming it can be in slope-intercept form):
\(y = \frac{1}{2}x-2\)
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write the line's equation in slope-intercept form, or y = mx + b format. To write a full equation, substitute the m and the b for real values.
The m represents the slope of the line. Thus, substitute \(\frac{1}{2}\) for m. The b represents the y-intercept. Thus, substitute -2 for b. This gives us the following equation and answer:
\(y = \frac{1}{2}x -2\)