To determine the number of employees who favored the new insurance program, we need to calculate 66 2/3% of 2400.
66 2/3% can be written as a decimal as 0.6667 (rounded to four decimal places).
The calculation is as follows:
0.6667 * 2400 = 1600
Therefore, 1600 employees favored the new insurance program.
~~~Harsha~~~
a negative correlation coefficient means group of answer choices there is a direct relationship. as one variable increases, the other also increases or becomes larger. as one variable tends to increase or become larger, the other decreases or becomes smaller. nothing, a mistake has been made. there is no relationship between two variables.
A negative correlation coefficient indicates an inverse or indirect relationship between two variables. As one variable increases, the other tends to decrease or become smaller.
A correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1. A negative correlation coefficient indicates an inverse relationship between the variables.
In an inverse relationship, as one variable increases, the other variable tends to decrease or become smaller. Conversely, as one variable decreases, the other variable tends to increase or become larger. This means that the variables move in opposite directions.
For example, if we observe a negative correlation between the amount of studying done for an exam and the number of mistakes made, it means that as studying increases, the number of mistakes decreases, and vice versa.
On the other hand, a positive correlation coefficient indicates a direct relationship, where both variables tend to move in the same direction. In a positive correlation, as one variable increases, the other variable also increases, or as one variable decreases, the other variable decreases.
In conclusion, a negative correlation coefficient signifies an inverse relationship between two variables, where an increase in one variable is associated with a decrease in the other variable, and vice versa.
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An animal shelter with only dogs and cats has a ratio of cats to dogs thats 9:7. What is the ratio of dogs to all animals?
The ratio of dogs to all animals is 7:16.
The total ratio of cats and dogs is 9 + 7 = 16.
The number of dogs present in the shelter is 7k, where k is a positive integer.
The number of cats present in the shelter is 9k, where k is a positive integer.
The total number of animals present in the shelter is 7k + 9k = 16k.
Therefore, the ratio of dogs to all animals is 7k : 16k, which simplifies to 7 : 16.
An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.
The ratio of dogs to all animals is 7:16.
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How do you describe similarity transformations?
A dilation or combination of stiff movements and dilations constitutes a similarity transformation.
Similar figures don't always have to have the same size but share the same form.
A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.
Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.
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Based on a recent survey of 500 students,
the circle graph below shows how students
communicate
with friends.
How many more students chose social
media apps than phone calls to
communicate with friends?
A. 180 students
B. 12 students
C. 300 students
D. 36 students
You are buying a pair of sneakers for $ 120. You have a coupon to save 45 %. How much will the sneakers cost ?
Answer:
$66
Step-by-step explanation:
→ Work out 45% as a multiplier
100 - 45 = 55 ⇒ 55 ÷ 100 = 0.55
→ Multiply the multiplier by the price
0.55 × 120 = $66
Answer:
54
Step-by-step explanation:
120 times 45 equals 5400 divided by 100 equals $54
solve for e: -4b+1=8+2e
Answer:
-2b - 7/2
Step-by-step explanation:
solve for e: -4b+1=8+2e
-4b + 1 = 8 + 2e
-4b + 1 -8 = 2e
-4b - 7 = 2e
-2b - 7/2 = e
A rectangular yard measuring 29 ft by 45 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer
The walkway has a 656 square foot area.
An example of a measure is what?Comparing a quantitative measurement with a recognized standard amount of some kind is the act of measurement. For instance, in the measurement 10 kg, kg is indeed the basic measure used to describe mass of a physical quantity, and 10 is the size of the physical quantity.
In order to determine the size of the walkway, we must first determine the size of the bigger rectangle that includes the yard and the walkway, from which we must then deduct the yard's area.
The dimensions of the bigger rectangle will be:
Length: 29ft + 2(4ft) = 37ft
Width: 45ft + 2(4ft) = 53ft
Hence, the larger rectangle's area is:
37ft x 53ft = 1961ft²
The yard's actual size is:
29ft x 45ft = 1305ft²
As a result, the distinction between the two sections is the size of the walkway:
1961ft² - 1305ft² = 656ft²
Hence, the walkway has a 656 square foot area.
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what is a linear system with fewer equations than unknowns?
Infinitely many solutions exist for a system with fewer equations than unknowns, yet there may be none. An underdetermined system is one that operates in this manner.
What in mathematics is a linear system?
A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
Equations with unknowns or variables that have powers of one are known as linear equations. Because the variables x, y, and z are linear, for instance, 3x - 4y + 5z = 3 is a linear equation, however xy + 3z = 7 is not because the phrase xy is a product of two variables.
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The boxplot below displays the arm spans for 44
students.
Which of the following is the five-number summary for
the distribution of arm spans?
O 140, 160, 170, 180, 210
O 143, 162, 168, 180, 202
O 143, 165, 175, 185, 200
O 145, 158, 168, 182, 202
140 150 160 170 180 190 200 210
Arm Span (cm)
Answer: B.
Step-by-step explanation: I got it right on edg.
Question 9
Which of the following distributions has a mean that varies?
I. The population distribution
II. The distribution of sample data
III. The sampling distribution of the sample mean
a. Il only
b. Ill only
c. I only
d. all three distributions
e. Il and III
Distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"
What is means ?Mean refers to the average of a set of values. The mean can be computed in a number of ways including the simple arithmetic mean add up the numbers and divide the total by the number of observations the geometric mean and the harmonic mean. mean can obtained dividing the sum of all values in a data set by the number of values.
Therefore distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"
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Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher. How much is the minimum payment due?.
Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher.
The Minimum Payment due is $ 80 as it is higher from the minimum payment of $60.
Given :
Credit Card amount = $2000
Minimum Percentage = 4%
By using the below formula we can find the minimum balance
Minimum Balance = Credit Card Amount * Minimum Percentage
Minimum Balance = $2000 * 4%
= $80
So According to the question Amar owes $2000 on his credit card with a minimum percentage of 4% or a minimum payment of $60, whichever is higher.
So the minimum percentage of 4% or minimum balance is higher than $60.
So that’s why the minimum payment due is $80.
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where is the center of the face of the cube?
The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.
Where is the center of the face of a cube?This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.
To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.
In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.
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A function is translated from f(x)=2⋅3x+4
to g(x)=2⋅3x−1.
What is the effect on f(x)?
The effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x). In other words, the graph of g(x) is obtained by taking the graph of f(x) and shifting it to the right by one unit.
What is graph?
In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, and the connections between them, called edges or links.
The function f(x) is translated to g(x) by subtracting 1 from the exponent of 3. This means that g(x) is obtained by shifting f(x) one unit to the right on the x-axis.
The coefficient of 2 remains unchanged, which means that the overall scaling of the function remains the same.
Therefore, the effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x). In other words, the graph of g(x) is obtained by taking the graph of f(x) and shifting it to the right by one unit.
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2) Solve : You and a friend go to El Super Taco after school. You order three soft tacos and two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito. How much do tacos cost? How much do burritos cost?
Answer:
A burrito costs 2.8 dollars.
Step-by-step explanation:
3b + 2t = 11
1b + 4t = 8
b = 14/5, t = 13/10
14/5 as a mixed number is 2 4/5
4/5 of a dollar is 80 cents.
So b = 2.8
A burrito costs 2.8 dollars.
I don't understand how to solve this. Can someone help me?
Answer: 62-48=14
Step-by-step explanation: therefor the bottom right hand corner is 14.
hope this is right ;)
Answer:
\(132\) °
Step-by-step explanation:
Angles in a straight line add up to 180°
\(180-48\)
\(132\)
Re-write the quadratic function below in Standard Form
y = 3(x - 5)(x - 2)
Answer:
3x² - 21x + 30
Step-by-step explanation:
y = 3(x - 5)(x - 2) ← expand factors using FOIL
= 3(x² - 7x + 10) ← distribute parenthesis by 3
y = 3x² - 21x + 30 ← in standard form
Pairs of Angles
In the figure shown, which pair of angles must be
complementary?
AC
OZCOB and ZAOC
D
O ZAOC and ZCOD
O ZAOC and ZDOB
OZCOD and ZDOB
1
2
3
4
5
Fini
Answer:
3
Step-by-step explanation:
Can someone explain just one of the three
there are six members on a student council. two of these members will serve on a spring formal committee. how many possible spring formal committees are there?
There are 30 different combinations of two members who can be selected to serve on the spring formal committee.
Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.
To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.
In this case, n = 6 and k = 2,
so we have
=> 6P2 = 6!/(6-2)!
=> 6!/(4!) = 6 x 5/1 = 30.
So, there are 30 possible spring formal committees that can be formed from the six members of the student council.
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In AABC, what is AB to the nearest tenth?
Answer:
AB = 9.5 units
Step-by-step explanation:
Here, we want to find the measure of AB
To do this, we are going to make use of the sine rule
for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle
Thus, we have it that; in a triangle ABC
a/sin A = b/sin B = c/sin C
using the triangle given;
we need the measure of the angle at C
The sum of angles in a triangle is 180
thus;
C + 93 + 48 = 180
C = 180 - 93 -48
C = 39 degrees
Now, to get the value of AB;
AB/sin 39 = 15/sin 93
AB = (15 * sin 39)/sin 93
AB = 9.5 units
Can someone help me with this question please.
Answer:
98
Step-by-step explanation:
3 bed house= 33 rooms
4 bed house 40 rooms
4 bed house 25 rooms
each house is worth 2 houses. so u double everything
hope I got it right
find the slope of a secant line with the intervals of [0,1]
Answer:
m = N/A
Step-by-step explanation:
Can you give me a curve or something?
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Upper P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%.
The bone density score corresponding to the 9th percentile, separating the bottom 9% from the top 91%, is approximately -1.34.
To find this value, we can refer to the standard normal distribution table or use a statistical calculator. The standard normal distribution has a mean of 0 and a standard deviation of 1. The area to the left of any given z-score represents the cumulative probability up to that point.
In this case, since we want to find the 9th percentile, we are interested in the value that separates the bottom 9% (cumulative probability) from the top 91%. This means that we need to find the z-score that corresponds to an area of 0.09 under the curve.
By referencing the standard normal distribution table or using a calculator, we find that the z-score corresponding to a cumulative probability of 0.09 is approximately -1.34. This z-score represents the bone density score at the 9th percentile, separating the bottom 9% from the top 91%.
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Match the missing parts of the triangle with their correct length or measure.
HINT: The ONLY right triangles we are given in this problem are ADB and BDC. Triangle ABC is NOT necessarily a right triangle.
Given:
DB=24
AD=32
AC=42
DC=10
BC=26
AB=40
Measure
Measure of
Find:
Measure
Measure
Measure
Measure
Measure
The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.
What is a right angle triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given that, in △BCD
BD = 24 m
DC = 10 m
BC = 26 m
△BCD is a right angle triangle.
The trigonometry ratio of sine is ratio of height to hypothenuse.
With respect to C, the height of △BCD is 24m and hypothenuse is 26m.
sin C = height/hypothenuse
sin C = 24/26
C = 67.38°
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14 pointsMr. Escamilla has a tent that is a triangular prism. The volume of the tentis 280 cubic feet, the width of the base is 8 feet, and the length is 10 feet.What is the height of the tent?8 ft10 ftO oftO 7ft8 ftO oft
We have to put the triangular side as the base.
So, the height of the tent is signified by the red line, h.
Shown below:
The volume of the triangular prism is area of triangle x height
V = A_T x h
Let's find the area of the triangle, A_T:
\(\begin{gathered} A_T=\frac{1}{2}bh \\ A_T=\frac{1}{2}(8)(h)_{} \\ A_T=4h \end{gathered}\)The height is 10.
The volume is 280.
Substituting into the formula, let's sovle for "h". Shown below:
\(\begin{gathered} V=A_T\times h \\ 280=4h\times10 \\ 40h=280 \\ h=\frac{280}{40} \\ h=7 \end{gathered}\)Answer7 ft
A vase is reduced in a sale by 20% to £56. What was the original cost of the vase?
Answer:
Original cost =70 pounds
Step-by-step explanation:
Let original cost be x,
so original cost = x
\(x*\frac{80}{100} = 56\)
\(x = 56 /\frac{80}{100}\)
\(x = 70 pounds\)
Help Due tonight ‼️‼️‼️‼️‼️
The following graph shows a proportional relationship
What is the constant proportionality between y and x in the graph
Answer:
might be a diff answer
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Answer:
3/2
Step-by-step explanation:
y=kx
use a point
3=k2
k=3/2
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage.
Answer:
C. Quadratic model
Step-by-step explanation:
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Given:
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left with time= 1000 - 10×t
Where;
t = Time in minutes
Value of the corn = Amount of corn left × Price of corn
Value of the corn = (1000 - 10×t) × (5 + 0.15×t)
=(1000-10t) × (5+0.15t)
=5,000 + 150t - 50t - 1.5t²
= -1.5t² +100t + 5000
Value of the corn= -1.5t² +100t + 5000.
It is a quadratic model
Can someone please help me with this question
Answer:
i don't now
Step-by-step explanation:
Sorry I couldn't help you
Marriane can say hello in more than 7 languages. Which number line could represent this situation?
Answer:
A) x > 7
Step-by-step explanation:
Since it's more than, the inequality would be >
Since it's >, that means it's an open circle
So,
x > 7