Answer:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
---------
The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14.
---
You have 2 points: (28,39.49) and (47,65.14)
slope = (65.14-39.49)/(47-28) = 1.35
y = mx+b
39.49 = 1.35*28 + b
b = 1.69
Step-by-step explanation:
C(x) = 1.35x + 1.69
--------------------------
What is the cost for using 32 HCF of water?
C(32) = 1.35*32 + 1.69
C(32) = $44.89
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
Considering the given graph, we infer that while rolling a dice is random, the median values do exhibit some patterns that can be analyzed and used to make predictions about the expected values.
What is the information from the graph?Looking at the median data from the graph, we can infer that option A is not true, as the median appears to be equally likely to fall between any two numbers from 1 to 6. However, we can also infer that option B is not entirely accurate.
While it is true that rolling a dice is random and each roll is independent, we can observe patterns in the median data.
For example, the median values are more likely to be closer to 3.5, which is the theoretical median value of a fair six-sided dice. This suggests that the more times the dice is rolled, the more likely the median value will approach the expected value.
We can also observe that the spread of the median values tends to decrease as the number of rolls increases, indicating that more rolls lead to more consistent results.
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The length of a side of a triangle is in the extended ratio of 3:5:7. The perimeter of the triangle is 120cm. What are the lengths of the sides?
Answer:
56cm
Step-by-step explanation:
Ratio = 3 : 5 : 7
Perimeter = 120 cm
Process
# of parts = 3 + 5 +7 = 15
Divide 120 by 15 = 120 / 15
Number of parts = 8
First side = 3 x 8 = 24 cm
Second side = 5 x 8 = 40 cm
Third side = 7 x 8 = 56 cm
Perimeter = 24 + 40 + 56 = 120 cm
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable variable x as the number of defective cameras in the sample. What is the probability distribution for x?
The probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
How can we determine the probability distribution for x?Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:
C(8,2) = 8!/(2!×(8-2)!) = 28
So there are 28 possible ways to choose a sample of 2 cameras.
Now, let's calculate the probability of each possible value of x:
When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 0 is:
P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:
C(4,1) × C(4,1) = 4×4 = 16
So the probability of x = 1 is:
P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)
= 16/28
= 0.571
When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 2 is:
P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
Therefore, the probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
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Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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Which of the following must be an irrational number?
O A. the sum of two irrational numbers
B. the product of two irrational numbers
O C. the sum of a rational number and an irrational number
O D. the product of a rational number and an irrational number
I need the answer for 'j" 2j + 5 = 3 + 2j + 2
Answer:
15gm
Step-by-step explanation:
because 5x3 is 15
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
uiiv
Step-by-step explanation:
Simplify the expression 3x + 14x + 35 + 2
Answer:
17x + 37
Step-by-step explanation:
looked it up
Help please been stuck on this
Step-by-step explanation:
The rules for significant digits are:
Non-zero digits are always significant.Zeros between significant digits are also significant.Trailing zeros are significant only after a decimal point.To round each number to one digit, round to the first digit.
a) 300,000
b) £200
c) 20,000 km
HELPPPPPPPP ASAPP
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation
y = 150000(1.004)12
t
How much will their house be worth in 8 years?
A $240,000$240,000
B $220,000$220,000
C $1,258,884$1,258,884
D $14,457,600
Their house will be worth approximately $240,154.57 in 8 years.
Non of the options is correct.
To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:
y = 150,000(1.004)^(12t)
y = 150,000(1.004)^(12*8)
y = 150,000(1.004)^96
Using a calculator or computer software to evaluate the exponential expression, we find:
y ≈ 150,000 * 1.601030475
y ≈ 240,154.57
None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:
A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.
B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.
C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.
D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.
Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.
Non of the options is correct.
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The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point)
A. C(−3, −2), D(1, −2)
B. C(−3, −1), D(1, −1)
C. C(−3, −4), D(1, −4)
D. C(−3, −5), D(1, −5)
Answer:
A - C(-3, -2), D(1, -2)
Step-by-step explanation:
write down the value of the 6 in the number 2693
Answer:
6 hundred
Step-by-step explanation:
the value of 6 in 2693 is 6 hundred as :-
TH. H. T. O
2. 6. 9. 3
6 comes under the hundred's value
plzzz mark me as brainliest
Answer:
6 hundred
Step-by-step explanation:
tama po yan im suree lab yow
What is the equation of the line that passes through the point (-1, -5) and has a
slope of -1
Determine if (2, 9) is a solution to the following system. y = 3x+3 y = x+9 a Yes b No
Answer:
B)no
Step-by-step explanation:
the correct solution is (3,12)
including the phones tablets and cloud, how many total bits of storage does the family have al together
Answer:
650,000,000
Step-by-step explanation:
6.5x10^8
Consider parallelogram QRST below. Use the information given in the figure to find m
The missing values are
<UTQ = 41 degree
x= 1
<UQT = 47 degree
We have a parallelogram QRST.
We know that the opposite sides of the parallelogram is equal and parallel then
QR || ST
QT || SR
Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)
<UTQ = 41
Similarly, <UQT = <SRQ = 47
Now, RU = UT
2x + 1= 3
2x = 2
x= 1
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6/10 + 5/100
is it
65/100 or 65/110 or 56/100 or 56/110
Answer:
65/100 that is the answer to this question
If the random variable x is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(x ≥ .75) is:
If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.
What is a Z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
Given the problem above, we need to find what the z-score is when P(x ≥ .75).
The formula for calculating a z-score is given by:
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
Where:
x is the value of 0.75\(\mu\) is the mean of 0.45And \(\sigma\) is the standard deviation of 0.40Now,
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)
\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)
\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)
\(Z=1 - 0.077337\)
\(Z\thickapprox 0.9227\)
Therefore, the z-score of P(x ≥ .75) is 0.9227.
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Find the slope and y-intercept of the graph of the function.
y = mx + b Slope (m) and y-intercept (b) y = 8x + 2
The slope and y-intercept of the graph of the function y = 8x + 2 are 8 and 2 respectively.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided about the graph of this function, it can be modeled by this linear equation:
y = mx + c
y = 8x + 2
By comparison, we have the following:
mx = 8x
m = 8
Slope, m = 8.
y-intercept, c = 2.
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David is training for a bicycle race. He rode some miles the first
week, 383 miles the second week, and 428 miles the third week. He
has riden 1,150 miles in total. How many miles did he ride the first
week?
Answer:
339
Step-by-step explanation:
You just add 383 plus 428. which gives you 811. then you subtract 811 from 1,150. have a great day!
Graph the line that has a slope of 5 and includes the point (1,5)
Answer:
y = 5x - 10
Step-by-step explanation:
We are given the slope but not the y intercept. This means we have to find an alternate way to find the y intercept. We can use point slope form \((y-y1) =m(x-x1)\) and then solve for y to convert the equation into slope intercept form \(y=mx+b\)
\((y-5)=5(x-1)\)
Distribute the 5
\((y-5)=5x-5\)
Add 5 on both sides
\(y=5x-10\)
Can you explain the steps for the y intercept and slope. x-10 = 4y
I came up with (10, 0)
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Help needed ASAP!! I will give brainliest! (You don’t need to plot the graph)
Answer:
first one y: -3, 0, 3, 6, 12
second one y:5, 2, 0, 2, 5
Step-by-step explanation:
for the first one the equation is y=3x
so when it goes as x:-1, 0, 1, 2, 4
so you should multiply each number by 3 as the equation does
(just replace each number by x in the equation)
so y: -3, 0, 3, 6, 12
next one: equation is y=\(x^{2}\)+1
so do the same as up there: replace x with every number
x:-2, -1, 0, 1, 2
so y will be
y:5, 2, 0, 2, 5
giving brainliest *easy*
Answer:
x^2+10x+25
Step-by-step explanation:
x^2+10x+c
to find c
10/2=5
so 5^2= 25
so answer = x^2+10x+25
Answer:
x^2+10x+25
Step-by-step explanation:
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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Colin's piano lesson is 45 minutes, or of an hour, long. If he practices 6 different songs and spends an equal amount of time on each song, what fraction of an hour does he spend practicing each song?
The fraction of an hour he spends practicing each song will be 1/8.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
Time for the piano lesson = 45 minutes = (3/4)60 minute
Number of songs to be practiced = 6
The fraction of an hour does he spend practicing each song is;
\(\rm \frac{3}{4} \times hour \times \frac {1}{6} \\\\\ \frac {1}{8} \ of \ an \ hour\)
Hence, the fraction of an hour he spends practicing each song will be 1/8.
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The sum of two numbers is −45. One number is 9 more than the other. Find the numbers
Answer:
-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
The question is in the image. Need help with #8
SOLUTION
The graph is a function
The domain is all real numbers apart from 0 given by the interval
(-∞,0) ∪ (0,∞)
The Range of the function is all positive numbers given by the interval
(0,∞)
The function is increasing on the interval
(-∞,0)
The function is decreasing on the interval
(0,∞)
Algebra two divide plz help
Answer:
- x³ - 2x² + 3 - 1 / x
Step-by-step explanation:
(4x³ - 8x² + 12x - 4) / (-4x)
- x³ - 2x² + 3 - 1 / x