Managers at a company rate employee's on performance and attitude and find that an employee's attitude depends on their performance. They find a linear relationship and the line of best fit is y = 11.7 + 1.02x. What does 1.02 mean in the context of the problem?
A)That if their attitude rating was 0 the performance rating would be 1.02.
B)That if the performance rating was 0, their attitude rating would be 1.02.
C)That for every point their performance rating goes up their attitude rating improves by 1.02 points.
D)That for every point their attitude rating goes up their performance rating improves by 1.02 points.
The nth even number is 2n, the next even number after 2n is 2n+2, explain why.
Describe two ways to express the edge length of a cube with a volume of 64
The edge length of a cube with a volume of 64 cubic units can be expressed as 4 units, which is the cube root of 64, or algebraically as V⅛ or 64⅛.
Explanation:To express the edge length of a cube with a volume of 64 cubic units, we can use the formula for the volume of a cube, which is V = L³, where V is volume and L is the length of an edge. Since we have the volume (V), we can solve for L (the edge length) by taking the cube root of the volume. Consequently, the cube root of 64 is 4, so one way to express the edge length is simply as 4 units.
Alternatively, we can express the edge length in terms of the formula for volume. If the volume V is a constant 64 cubic units, the edge length can be represented as V⅛, or 64⅛ in this specific case. This second expression emphasizes the relationship between volume and edge length in a cube and is particularly useful in algebraic and geometric applications.
Ana walked 13/3 miles write 13/3 as a mixed numder
Can someone help me find the value of q? Thanks!
solve by substitution
2y+x=-15
5x=3y
A community center has an l shaped swimming pool that is 10 feet deep. What is the volume of the pool?
A. 640 cubic feet
B. 880 cubic feet
C. 1200 cubic feet
D. 1040 cubic feet
Answer:
1,040 cubic feet
Step-by-step explanation:
volume = width * length * height
In order to find this split the pool into two separate rectangular prisms.
The first one's measurements are 4ftx16ftx10ft
4*16*10 = 640
the next prism is 4ftx10ftx10ft
4*10*10 = 400
640+400= 1040 cubic feet
a tank contains 8000 liters of water. each day, half of the water in the tank is removed. how much water will be in the tank at the end of:
a. the 4th day?
b. the 8th day?
On first day the tank had 8000 liters of water.
Half is removed so half of 8000 is 4000.
Subtracting 8000-4000 =4000
So at the end of first day 4000 liters of water is there.
Water in the tank at the end of second day:
Again half of 4000 is removed.
half of 4000 is 2000.
subtracting 4000-2000 =2000.
At the end of second day 2000 l of water is present in tank.
At the end of third day:
Again half of 2000 is removed.
half of 2000 is 1000.
subtracting 2000-1000 =1000.
At the end of third day 1000 l of water is present in tank.
At the end of fourth day:
Again half of 1000 is removed.
half of 1000 is 500.
subtracting 1000-500 =500.
At the end of fourth day 500 l of water is present in tank.
At the end of fifth day:
Again half of 500 is removed.
half of 500 is 250.
subtracting 500-250=250.
At the end of fifth day 250 l of water is present in tank.
At the end of sixth day:
Again half of 250 is removed.
half of 250 is 125.
subtracting 250 - 125 =125.
At the end of sixth day 125 l of water is present in tank.
At the end of seventh day:
Again half of 125 is removed.
half of 125 is 62.5.
subtracting 125-62.5 =62.5.
At the end of seventh day 62.5 l of water is present in tank.
At the end of eighth day:
Again half of 62.5 is removed.
half of 62.5 is 31.25
subtracting 62.5 - 31.25 =31.25.
At the end of eighth day 31.25 l of water is present in tank.
What multiplication expression can you use to solve 627÷11?
If 2 more violinists join the orchestra and 1/2 the orchestra are violinists already what fraction of all musicians would play a stringed instrument
To motorists leave from the same point at the same time, one traveling east at 36 MPH and the other traveling west at 44 MPH. How many hours will it take for them to be 260 miles apart?
how can you add a figure to a composite figure without increasing its perimeter? Draw a diagram to support your answer
Please help me out :)
Please help me thankssssss
If 8 ties cost $128, how much do 15 ties cost?
Anyone please help me please solving these maths problems not sure.Thanks.
A wall is 4 m by 3 m. Which is the correct unit of measurement to use when figuring out how much paint to buy to cover the wall? A. m B. m3 C. m2
Dianne spends 40% of her net income on rent and 15% of her net income on food. If she spends a total of $1375 per month on rent and food, what is her net monthly income?
Please help ASAP ! I need it buy 11:30 thanks !
X is less than or equal to -8 graphed on a number line
Graphing x \<= -8 involves placing a solid circle at -8 on a number line and shading everything to the left to represent all numbers less than or equal to -8.
To graph x \<= -8 on a number line, you need to include every number that is less than or equal to -8. Start with a number line and locate the point -8 on it. Then, draw a solid circle at -8 to indicate that -8 is included in the solution (because of the '<=' symbol). Next, shade or draw a thick line to the left of -8, going towards the negative direction, to cover all numbers that are less than -8. This shaded area represents all the possible values for x that satisfy the inequality x \<= -8.
Visual Representation on Number Line
A visual representation helps to understand the solutions to the inequality. When graphing, remember that the area to the left of the chosen point on a number line includes all numbers less than the indicated value, and if the circle is solid, that point is also part of the solution set.
The process described here provides a straightforward approach to graphing linear inequalities on a number line, which is a fundamental concept in algebra.
PLEASE NEED HELP
Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
Secure hike emergency radio 4.0
21,22,24,25,25,25,25,26,27,29,30,30,30,30,33
Streamline radio
25,25,27,28,29,30,30,30,34,36,36,38,39,42
A. 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
B. 75% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
C. 100%of x- streamline crank radios ARE LIKELY to play 30 minutes or longer afte
In a video game, Val scored 30\%30%30, percent fewer points than Peeta. Peeta scored 1060 points.
How many points did Val score?
Answer:
3533.33333333
Step-by-step explanation:
PLEASE HELP MATH MADD POINTS
The rates of change of two data sets can be compared by finding:
A-the initial values.
B-the slope of each trend line.
C-how close the points are to the line.
D-the y-intercepts.
How high is the stack of the two books? novel and 3/4 inches and dicitonary 41/2
There are 20 trees in a yard that each produced 1 gallon of syrup. If the syrup needs to be put into 3 gallon containers, how many containers are necessary to hold all of the syrup?
For this case we have that if 20 trees produce 1 gallon of syrup each, then we have 20 gallons of syrup.
We must find the number of containers for the 20 gallons, knowing that each container has a capacity of 3 gallons.
[tex]\frac {20} {3} = 6.67[/tex]
So, we need 7 containers.
Answer:
7 containers
A flashlight has 7 batteries, 5 of which are defective. If 5 are selected at random without replacement, find the probability that all of them are defective.
Enter your answer as a fraction or a decimal rounded to 3 decimal places.
The probability of getting all of them defective batteries is________?
Final answer:
The probability of selecting five defective batteries from a set of seven batteries, five of which are defective, is calculated by multiplying the individual probabilities of each selection. This results in an approximate probability of 0.048.
Explanation:
The probability of selecting all defective batteries from a group where 7 batteries are available and 5 are defective is obtained by calculating the probability of selecting a defective battery five times in a row without replacement.
The probability of the first battery being defective is 5/7, as there are 5 defective out of 7 total. If the first one is defective, there are now 4 defective batteries left out of 6. This makes the probability of the second being defective 4/6. We continue this pattern until we have:
Probability of 1st defective battery = 5/7
Probability of 2nd defective battery = 4/6
Probability of 3rd defective battery = 3/5
Probability of 4th defective battery = 2/4
Probability of 5th defective battery = 1/3
To find the overall probability of all being defective, we multiply these probabilities together:
P(all defective) = (5/7) × (4/6) × (3/5) × (2/4) × (1/3)
When we calculate this, we get:
P(all defective) = (5×4×3×2×1) / (7×6×5×4×3) = 120 / 2520 = 0.0476
Therefore, the probability is approximately 0.048 (rounded to three decimal places).
A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism? Enter your answer in the box.
A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism? Enter your answer in the box.
If we dilate each dimension by 3, then the volume of the figure will be dilated by [tex] 3^{3} [/tex] .
[tex] 3^{3} [/tex] =3*3*3 =27
So, the volume of the dilated prism is [tex] 3^{3} [/tex] *volume of original prism
Volume of dilated prism=27*270[tex] m^{3} [/tex]
Volume of dilated prism=7290[tex] m^{3} [/tex]
The volume of a prism when dilated by a factor of 3 increases to 7290 m³,
A prism with a volume of 270 m³ that is dilated by a factor of 3 will have its new volume calculated by cubing the scale factor and multiplying it by the original volume.
Original Volume (V1) = 270 m³
Scale Factor (k) = 3
Dilated Volume (V2) = V1 × k³
So, V2 = 270 m³ × 3³
V2 = 270 m³ × 27
V2 = 7290 m³
Hence, the volume of the dilated prism is 7290 m³.
Which statement or statements are TRUE?
I. The data distribution is skewed
II. The interquartile range is 6
III. The median is 10
A) I only
B) II only
C) I and II only
D) II and III only
Answer: A. I only
Step-by-step explanation:
Most of the observations are on the lower end, so the distribution is skewed right. The interquartile range is indicated by the length of the box, about 14. The median is indicated by the vertical line running through the box, about 13
A retail store marks up its OTC (over-the-counter) merchandise 50% based on acquisition cost. What's the retail price of an item that costs $2?
what is the area of the trapezoid?