if charlene brewster has times of 8.4, 8.6, 8.3, 8.5, 8.7, and 8.5 and a performance rating of 110%, what is the normal time for this operation? is she faster or slower than normal? [px]
Normal time taken for operation = 7.7
Charlene's work performance is faster than normal time.
Need to define Charlene's average time:
8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6
Avg time taken= 8.5.
Performance rating = 110/100 = 1.1
normal time taken: 8.5/1.1
normal time taken= 7.7
hence, 8.5 [tex]\geq[/tex] 7.7
Charlene is faster than normal time.
You can learn more about time from:
https://brainly.com/question/28050940
#SPJ4
HELP ME PLSS OMLLL IMA CRY
Answer:
Remember, ratios are just fractions, and fractions are just division problems.
Step-by-step explanation:
Step-by-step explanation:
25%of 20 is 5
subtract from the total of the whole candy.
Write a paragraph that explains how the Sumerians were different from other people of their time.
Your paragraph must include a topic sentence, at least two support sentences, and a conclusion
sentence that restates but does not repeat the topic sentence.
The Sumerians were different from other people of their time as they wee more advanced.
Who were the Sumerians?The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.
They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.
Learn more about Sumerians on:
https://brainly.com/question/27825932
#SPJ1
Find the exact solution to the equation 42 equals 3 x squared, leaving your answer in square root form. Show your work.
State if your solution is rational or irrational. Explain.
Find the closest integer approximation to your solution and explain how you found it.
The solution is x = √ 14, it is irrational
The closest integer approximation to the solution is 4
How to determine the valueFrom the information given, we have that;
42 equals 3 x squared
This is represented as;
3x² = 42
Let's take the following steps to determine the value of x
Divide both sides by the coefficient of x²
x² = 42/3
x² = 14
Take the square root of both sides, we have;
x = √ 14
The solution is an irrational number
What is an irrational number?An irrational number is described as a number that cannot be expressed in a fractional form.
They are real numbers that expressed as quotients
Examples of irrational numbers are;
√5, √7, √11, √13
Now, let's find the square root, we have
= 3. 74
Take '7' as 1 and add to the whole number 3, we get;
= 4 ; to the closest integer
Hence, the value is 4
Learn more about irrational numbers here:
https://brainly.com/question/28819748
#SPJ1
What is the value of the expression (−3.69)0?
_____
The value of the expression (-3.69)0 is zero as any number multiplied zero times is zero.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The value of the expression (-3.69)0 is zero itself.
Anything multiplied by nothing is nothing right.
A numerical value is given which is -3.69 it is multiplied with zero, so a number multiplied zero times is obviously zero.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ1
if a baker has 7/3 cups of chocolate, the baker can make a maximum of .... cakes.
She calls for 4/5 cup of chocolate
She had 7/3 cups of chocolate.
[tex]\begin{gathered} \text{The bake can make a ma}\xi mum\text{ of = }\frac{7}{3}\text{ }\frac{.}{.}\text{ }\frac{4}{5} \\ \text{ = }\frac{7}{3}\text{ x }\frac{5}{4} \\ \text{ = }\frac{35}{12} \\ \text{ = 2}\frac{11}{12} \\ \end{gathered}[/tex]Maximum number of cakes a baker can make = 2
) What is the surface area in square In
8 in
10 in
12 in
10 in
10 in
Answer:
Surface area is the total area of the faces of a three-dimensional shape.
A square can not have a surface area since it's two dimensional. If you meant the area of a square then the formula is:
A = a²
a = length of side
8 in = 64 in
10 = 100 in
12 = 144 in
Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450450450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.
Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.
pls help
The inequality to determine the number of packages Renna could remove from the elevator to meet the mass requirement is 620 - 37.4g = 450.
What is an inequality?An inequality is simply used to show the relationship between the expressions that are not equal.
The mass limit is given as 450 grams. Renna has a package that has a weight of 620g.
Each package has 37.4g.
Let the number of packages to remove be p.
The expression will be:
= 620 - (37.4 × p) = 450
620 - 37.4g = 450.
This illustrates the concept of inequality.
Learn more about inequalities on:
brainly.com/question/24372553
#SPJ1
Which brand of granola typically weighs more?
Brand A bags typically weigh more because the median of brand A is higher than that of brand B.
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
Brand A bags typically weigh more than brand B bags because there are no outliers in the distribution.
Brand B bags typically weigh more because the range of weights is higher than that of brand A.
Brand A bags typically weigh more because the median of brand A is higher than that of brand B and is denoted as option A.
What is Median?This is referred to as the middle value which separates the higher half from the lower half of a data or distribution. This is calculated by first ordering the numbers which could be from the lowest to highest or vice versa.
A data sample which has a higher figure as the median means that it has higher values present in the data distribution. This term provides an insight on certain properties of the values of the data which are given.
In this scenario, the median of brand A is higher than that of brand B which means that it has more weight and is therefore the reason why option A was chosen as the correct choice.
Read more about Median here https://brainly.com/question/14532771
#SPJ1
3^8 x 3^4 divide 3^2 x 3^8
⇒I will be using the laws of exponents. As indicated below :
⇒[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]
This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.
⇒ The other law of exponents is indicated below:
⇒[tex]x^{n} /x^{m} \\=x^{n-m}[/tex]
This means that if you are dividing powers of the same base you keep one base and subtract the exponents.
N.B : BODMAS RULES ALSO APPLY
[tex]\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9[/tex]
Attached is your solution. Goodluck!!
How do I get the other number and it’s bye using writing perfect-square trinomials
25
1) We must start by reminding the binomials. Since this question refers to a perfect square trinomial then we can write:
[tex](a-b)^2=a^2-2ab+b^2[/tex]2) Now we can look at the expression. Let's start by dividing that 10 by 2, since we have to write that -10x as 2 times the product of x and the other term:
[tex]\begin{gathered} -\frac{10}{2}=5 \\ (x-5)^2=x^2-2(5)(x)+5^2=x^2-10x+25 \end{gathered}[/tex]Note that the second term is 5²= 25
3) Hence, the answer is 25
IS -9z divided by 2 = 13 closed or open
The statement -9z divided by 2 = 13 is a closed statement
How to determine the type of statement?From the question, the statement of the expression is given as
-9z divided by 2 = 13
When the statement is rewritten as an expression, it becomes
-9z/2 = 13
In the above equation, we can see that we have a variable
The variable is represeneted by z
When a mathematical statement or an expression has a variable
Then such statement is an open statement
Hence, the given expression is open
Read more about open expression at
https://brainly.com/question/723406
#SPJ1
for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius. Find the temperature change from a 5-kilometer altitude increase.
The temperature change from a 5 - kilometer altitude increase is 35 degrees.
It is given in the question that for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius.
We have to find the temperature change from a 5-kilometer altitude increase.
As, for 1 km altitude increase, the temperature drops by 7 degrees, hence by using unitary method, we can say that,
For 5 km altitude increase, the temperature will decrease by 7*5 = 35 degrees.
Unitary Method
The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
To learn more about unitary method, here:-
https://brainly.com/question/22056199
#SPJ1
Debra earns $12.45 per hour and worked 26 34 hours last week. What is her gross pay?
Please help
3. In the formula A = lw, find A when I is
5 inches and w is 25 inches.
Answer:
125 inches squared
Step-by-step explanation:
A=lw
A=(5)(25)
A=125
which one of these options is the best definition of extrapolation? group of answer choices fitting a line to data that is non-linear using a given y-value and a linear regression equation to predict an x-value. using a linear regression equation and any x-value to predict any y-value. using an x-value far from observed x values to predict a y value
Answer: Extrapolation ,from the above can be defined as using a linear regression equation and any x- value to predict any y-value.
Step-by-step explanation:
Extrapolation regression makes use of estimated regression equation to predict a new value y for specific X values not in the range of the sampled data used to estimate our regression equation
For more clarification check out:
https://brainly.com/question/14318481
#SPG4
The length of a rectangle is 5 feet more than the width. The perimeter of the rectangle is 58 feet. Find the length & width of the rectangle.
Answer:
Length: 17 ft. Width: 12 ft.
Step-by-step explanation:
x + 5 + x +5 + x + x = 58
4x + 10 = 58
4x = 48
x = 12
12 + 5 = 17
what is the angle between west and north west
Answer:
the angle between west and Northwest is 90°
has being supplementry angles
hope it helps
Answer:
45°
Step-by-step explanation:
the angle between north and west is 90°
northwest is situated centrally between north and west at an angle of 45°
You downloaded a video game to your computer. You have a 60-minute free block of time for the game. It
takes 5 minutes to set up the game and 7 minutes to play each level of the game. Write an inequality to
determine the number of levels you can play in 60 minutes. How many levels can you play for free? Write an Inequality
An inequality to determine the number of levels you can play in 60 minutes is 5 + 7l ≤60
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Here, it is given that :
Time for setting up the game = 5 minutes
Time to play each level = 7 minutes
Let l represent the number of levels played.
So, Time to play l levels = 7l
So, b = 5+7l
Now we are required to Write an inequality to determine the number of levels you can play in 60 minutes.
So, the inequality becomes :
5 + 7l ≤60
Hence an inequality to determine the number of levels you can play in 60 minutes is 5 + 7l ≤60
check and know more about inequality here :
https://brainly.com/question/21209456
#SPJ1
the measure of the angle of a triangle are shown in the figure below. solve for x
x°
44°
61°
Answer: x=75°
Step-by-step explanation:
x+44+61=180 ==> three angles in a triangle add up to 180 degrees
x+105=180
x+105-105=180-105
x=75°
The stock price for JSR was $74.29 in August. In September the stock had increased by 7%, but in October the price fell by 7%. What was the price of JSR stock in October? Round your answer to the nearest cent, if necessary.
In order to find the price increase multiply by 1 and add the 7%,
[tex]\begin{gathered} 74.29\cdot(1+0.07) \\ 74.29\cdot1.07 \\ 79.4903 \end{gathered}[/tex]then, apply the same to subtract the 7%
[tex]\begin{gathered} 79.4903\cdot(1-0.07) \\ 79.4903\cdot(0.93) \\ 73.925\approx73.93 \end{gathered}[/tex]if a 95% confidence interval for the mean head circumference for adults, based on the results of measuring head circumference for 30 adults, is (21.42, 23.18) inches, what is the margin of error? inches.
The margin of error is 0.88.
What is a margin of error?
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.
Here, we have
Lower confidence interval = 21.42
Upper confidence interval = 23.18
Now,
Sample mean(x) = (Lower confidence interval + Upper confidence interval)/2
x = (21.42 + 23.18)/2
x = 44.6/2
Sample mean (x) = 22.3
Now, we find the margin of error,
margin of error = Upper confidence interval - x
= 23.18 - 22.3
= 0.88
Hence, the margin of error is 0.88.
To learn more about the margin of error from the given link
https://brainly.com/question/28964736
#SPJ4
The margin of error is 0.88.
What is a margin of error?In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.Here, we have
Lower confidence interval = 21.42Upper confidence interval = 23.18Now, calculate:
Sample mean(x) = (Lower confidence interval + Upper confidence interval)/2
x = (21.42 + 23.18)/2x = 44.6/2Sample mean (x) = 22.3Now, we find the margin of error:
margin of error = Upper confidence interval - x
= 23.18 - 22.3= 0.88Hence, the margin of error is 0.88.
To learn more about the margin of error from the given link
https://brainly.com/question/10218601
#SPJ4
Given a Figure whose points are A(4, 5), B(2, -1), C(0, 0), D(-4, -1).
What would be the image of that figure if it goes under a reflection across the x-axis, what is the coordinate
of A'?
A. A'(-4,-5)
B. A'(-4, 5)
C. A'(4, 5)
D. A'(4,-5)
Answer:
D
Step-by-step explanation:
(4,5) is 5 units above the x axis. So, D' will be 5 units below the x axis. This would be the point (4 -5)
Answer: The answer is D A (4,05)
(4,5) is 5 units above this x axis. because of that , D' will have 5 units below the x axis for this problem. therefore the point is (4 -5)
help quick 30 points
Answer:
y = -5x + 6
Step-by-step explanation:
Looking at the graph it looks that the slope of the line is -5
and the y intercept is (0, 6)
So the slope intercept form is y = -5x + 6
this should be correct hope this helps
how would we name the polyonomial below?think about the degree and number term
We have the expression:
[tex](x+4)+(2x-7)[/tex]Adding the parts with x and the parts without x we have:
[tex](x+2x)+(4-7)_{}[/tex]Wich gives us:
[tex]3x\text{ - 3}[/tex]Wich is a polinomial of first degree.
21. What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6
b. 12, 0, 15, 15, 13, 19, 16, 13, 16, 16
Answer:
6 and 16
Step-by-step explanation:
→ Find the most recurring number in sequence A
6
→ Find the most recurring number in sequence B
16
The table lists recommended amounts of food to order for 19 party guests. Nathan and Sydney are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should Nathan and Sydney order for a graduation party with 15 drop-in guests?table: fried chicken =28 meats =4 1/3 lasangnia = 10 3/4
For the graduation party, Nathan and Sydney should order pieces of 70 fried chicken , 11 pounds of meats and 36 pounds of lasangnia .
In the question ,
it is given that
there are 15 drop in guests , and drop in guests are counted as half a guest .
So , the number of half guests = 15/2 = 7.5
number of guests for the party = 40 guests
So , total number of guests = 40+7.5 = 47.5
From the table , we can see that
19 party guests need 28 pieces of fried chicken .
So , 1 party guests will need 28/19 pieces of fried chicken .
so, 47.5 guests will need [tex]47.5*\frac{28}{19}[/tex] pieces of fried chicken
[tex]47.5*\frac{28}{19}[/tex] = 70
hence , 70 pieces of fried chicken is needed .
From the table , we can see that
19 party guests need [tex]4\frac{1}{3}[/tex] = 13/3 pounds of meats .
so, 1 party guests will need 13/(3*19) pounds of meats .
So, 47.5 guests will need [tex]47.5*\frac{13}{3*19}[/tex] pounds of meats .
[tex]47.5*\frac{13}{3*19}[/tex] = 10.833
≈ 11
hence , 11 pounds of meats is needed .
From the table , we can see that
19 party guests need [tex]10\frac{3}{4}[/tex] = 43/3 pounds of lasangnia .
So , 1 party guests will need 43/(3*19) pounds of lasangnia .
So, 47.5 guests will need [tex]47.5*\frac{43}{3*19}[/tex] pounds of lasangnia .
[tex]47.5*\frac{43}{3*19}[/tex] = 35.8333
≈ 36
hence , 36 pounds of lasangnia is needed .
Therefore , For the graduation party Nathan and Sydney should order 70 pieces of fried chicken , 11 pounds of meats and 36 pounds of lasangnia .
Learn more about Algebra here
https://brainly.com/question/18476351
#SPJ1
What is the equation of a line that is parallel to −2x+3y=−6 and passes through the point (−2, 0)?
Enter your answer in the box.
Answer:
[tex]y=\frac{2}{3}x +\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-2x+3y=-6\\3y=2x-6\\y=\frac{2}{3}x-2\\ \\\\Then\\y-0=\frac{2}{3}(x-(-2)\\ y-0=\frac{2}{3}x+\frac{4}{3} \\Therefore, the answer is y=\frac{2}{3}x+\frac{4}{3}[/tex]
Simplify14. (5-2)(4 + 31)20 - 81 - 612b. 26 + 7i20 + 4i
At first, we multiply 5 by 4
[tex]5\times4=20[/tex]Then multiply 5 by 3i
[tex]5\times3i=15i[/tex]Then multiply -2i by 4
[tex]-2i\times4=-8i[/tex]Then multiply -2i by 3i
[tex]-2i\times3i=-6i^2[/tex]Since i^2 = -1, then we will multiply -6 by -1
[tex]-2i\times3i=-6i^2=-6\times-1=6[/tex]Now, we will add the terms
[tex]20+15i-8i+6[/tex]Then we will add the like terms
[tex]20+15i-8i+6=(20+6)+(15i-8i)=26+7i[/tex]So the answer is b
A triangle has side lengths of 10 inches, 11 inches, and 12 inches. What kind of triangle is it?
Answer:
Acute scalene triangle.
More Information:
Sides: a = 10 b = 11 c = 12
Area: T = 51.521
Perimeter: p = 33
Semiperimeter: s = 16.5
Angle ∠ A = α = 51.318° = 51°19'4″ = 0.896 rad
Angle ∠ B = β = 59.17° = 59°10'10″ = 1.033 rad
Angle ∠ C = γ = 69.513° = 69°30'46″ = 1.213 rad
Height: ha = 10.304
Height: hb = 9.367
Height: hc = 8.587
Median: ma = 10.368
Median: mb = 9.579
Median: mc = 8.631
Inradius: r = 3.122
Circumradius: R = 6.405
Vertex coordinates: A[12; 0] B[0; 0] C[5.125; 8.587]
Centroid: CG[5.708; 2.862]
Coordinates of the circumscribed circle: U[6; 2.242]
Coordinates of the inscribed circle: I[5.5; 3.122]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 128.682° = 128°40'56″ = 0.896 rad
∠ B' = β' = 120.83° = 120°49'50″ = 1.033 rad
∠ C' = γ' = 110.487° = 110°29'14″ = 1.213 rad
How to Solve:
The calculation of the triangle has two phases. The first phase calculates all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase calculates other triangle characteristics, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).
1. Input data entered: sides a, b, and c.
a=10
b=11
c=12
We know the lengths of all three sides of the triangle, so the triangle is uniquely specified. Next, we calculate another of its characteristics - the same procedure for calculating the triangle from the known three sides SSS.
a=10
b=11
c=12
2. The triangle perimeter is the sum of the lengths of its three sides
3. Semiperimeter of the triangle
The semiperimeter of the triangle is half its perimeter. The semiperimeter frequently appears in formulas for triangles to be given a separate name. By the triangle inequality, the longest side length of a triangle is less than the semiperimeter.
4. The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
5. Calculate the heights of the triangle from its area.
There are many ways to find the height of the triangle. The easiest way is from the area and base length. The triangle area is half of the product of the base's length and height. Every side of the triangle can be a base; there are three bases and three heights (altitudes). Triangle height is the perpendicular line segment from a vertex to a line containing the base.
6. Calculation of the inner angles of the triangle using a Law of Cosines
The Law of Cosines is useful for finding a triangle's angles when we know all three sides. The cosine rule, also known as the Law of Cosines, relates all three sides of a triangle with an angle of a triangle. The Law of Cosines extrapolates the Pythagorean theorem for any triangle. Pythagorean theorem works only in a right triangle. Pythagorean theorem is a special case of the Law of Cosines and can be derived from it because the cosine of 90° is 0. It is best to find the angle opposite the longest side first. With the Law of Cosines, there is also no problem with obtuse angles as with the Law of Sines because the cosine function is negative for obtuse angles, zero for right, and positive for acute angles. We also use inverse cosine called arccosine to determine the angle from the cosine value.
7. Inradius
An incircle of a triangle is a tangent circle to each side. An incircle center is called an incenter and has a radius named inradius. All triangles have an incenter, and it always lies inside the triangle. The incenter is the intersection of the three-angle bisectors. The product of the inradius and semiperimeter (half the perimeter) of a triangle is its area.
8. Circumradius
The circumcircle of a triangle is a circle that passes through all of the triangle's vertices, and the circumradius of a triangle is the radius of the triangle's circumcircle. The circumcenter (center of the circumcircle) is the point where the perpendicular bisectors of a triangle intersect.
9. Calculation of medians
A median of a triangle is a line segment joining a vertex to the opposite side's midpoint. Every triangle has three medians, and they all intersect each other at the triangle's centroid. The centroid divides each median into parts in the ratio of 2:1, with the centroid being twice as close to the midpoint of a side as it is to the opposite vertex. We use Apollonius's theorem to calculate the length of a median from the lengths of its side.
Learn More: https://brainly.com/question/28937541