Answer:
B.
Step-by-step explanation:
the three sticks of butter were divided among six people
Which of the following
represents 9!
A. 9
B. 9*8*7*6*5*4*3*2*1
C. 9+8+7+6+5+4+3+2+1
PLEASE HELP!
Write down the Equation of the following lines:
1)parallel to y=2x-1 and passing through (1, 8)
Answer:
y=2x+6
Step-by-step explanation:
We use this following formula to find the equation:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Now, we substitute the values in [tex]y_{1}[/tex] and [tex]x_{1}[/tex] :
[tex]y-8=2(x-1)[/tex]
Distribute the 2 inside the parentheses:
[tex]y-8=2x-2[/tex]
Now add 8 to both sides:
[tex]y=2x+6[/tex] is your answer.
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
y=2x-1
2=slope
-1=y intercept
NOTE: parallel lines have the same slope
and we put the point (1,8) into y=mx+b with (x,y)
8=1m+b
now we put in 2 for the slope
8=1(2)+b
6=b
2=m
now insert that back into y=mx+b
y=2x+6
and that is the line that is parallel to y=2x-1 and passes through (1,8)
Hope that helps :)
Which function has the graph shown?
Answer:
D) -cos(x)
Step-by-step explanation:
The results of a linear regression are shown below.
y=ax+b
a=-1.15785
b=139.3171772
r=-0.896557832
r^2=0.8038159461
Which phrase best describes the relationship between x and y?
A. Strong negative correlation
B. Strong positive correlation
C. Weak positive correlation
D. Weak negative correlation
Hello!
As we can see, our a value, which would be the coefficient of [tex]x[/tex], which determines our slope, is negative, meaning that this whole line is negative.
Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.
If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.
Choose two things that a rigid motion preserves.
Two things that a rigid motion preserves are: length and angle.
The two things that a rigid motion preserves are:
1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.
For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.
2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.
For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.
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2.75603957 rounded to 2 decimal places
In a certain raffle, you buy 2 tickets. 50 tickets are sold altogether. 7 prizes will be awarded. Find the probability that you win 0 prizes.
0.16
0.04
0.26
0.74
The probability of winning 0 prizes in the raffle is 0.74. The last option.
ProbabilityTo find the probability of winning 0 prizes in the raffle, we need to calculate the probability of not winning any prize.
First, let's calculate the probability of winning a prize with a single ticket. Since there are 7 prizes and a total of 50 tickets sold, the probability of winning a prize with one ticket is 7/50.
To calculate the probability of not winning a prize with one ticket, we subtract the probability of winning a prize from 1:
1 - (7/50) = 43/50.
Since you bought two tickets, the probability of not winning any prize with both tickets is the probability of not winning a prize with one ticket multiplied by itself:
(43/50) * (43/50) = 1849/2500.
Therefore, the probability of winning 0 prizes in the raffle is 1849/2500, which is approximately equal to 0.7396 or 0.74 when rounded to two decimal places.
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convert the angle 0=17 pie/18 radians to degrees
Answer:
it would be 170°
Step-by-step explanation:
( 17 πover 18 ) ⋅ 180 ° over π
17over18 ⋅ 180
then you cancel the common factors
17 ⋅ 10 mulitply those two and end up with
170°
Suppose the price of a bond is given by the following
function:
23.751-1+i-20i+5001+i-20=547.50
Use linear interpolation to approximate the value of
i:
The approximate value of i using linear interpolation is i ≈ 0.010526.
To approximate the value of i using linear interpolation, we need two data points on either side of the desired value of i. In the given equation, we have the following data points:
When i = 0, the price of the bond is 547.50.
When i = 0.01, the price of the bond is 23.751 - 1(0.01) - 20(0.01) + 500 / (1 + 0.01 - 20) = 442.24.
Since the desired value of i lies between 0 and 0.01, we can use linear interpolation to approximate it.
Linear interpolation assumes a linear relationship between two data points and estimates the value based on the proportionate distance between those points.
Let's denote the desired value of i as [tex]i_d[/tex]. We can set up the following equation to find [tex]i_d[/tex]:
[tex](i_d - 0) / (0.01 - 0) = (547.50 - 442.24) / (0.01 - 0)[/tex]
Simplifying the equation:
[tex](i_d - 0) / 0.01 = (547.50 - 442.24) / 0.01i_d / 0.01 = 105.26 / 0.01i_d = 105.26[/tex]
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The Z score for the observation of 500 has meaning that: a. Z score is always equal to the mean b. Z score is by one standard deviation smaller than the mean c. The observation is by one standard deviation greater than the mean d. The observation is equal to the mean
However, we know that the correct option is c, because the observation is one standard deviation greater than the mean.
The Z score for the observation of 500 has the meaning that the observation is one standard deviation greater than the mean. Therefore, the correct option is c. The Z score is a measure of how far a data point is from the mean, in terms of the number of standard deviations.
It's calculated by subtracting the mean from the observation, then dividing by the standard deviation. So, if the Z score is positive, it means the observation is above the mean, while a negative Z score means the observation is below the mean.
In this case, we are told that the observation has a Z score of 1. This means that the observation is 1 standard deviation above the mean. Since the mean is not given, we cannot say whether option a or option d is correct.
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The Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.
To find the Z-score.
A Z-score, also known as a standard score, is the number of standard deviations from the mean that a data point.
The formula for calculating the Z-score is: Z = (X - μ) / σ, where X is the raw score being transformed, μ is the mean of the population, σ is the standard deviation of the population.
Given that Z-score is the number of standard deviations from the mean that a data point is, the Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.
Therefore, option (c) is the correct answer: The observation is by one standard deviation greater than the mean.
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Eileen jogs every day. Last month, she jogged 6.5 hours for a total of 37.05 miles. At this speed, if Eileen runs 31.5 hours, how far can she run? (what equation would I use?)
I hope this helped
Step-by-step explanation:
First: 37.05 miles / 6.5 hours = 5.7
Next: 5.7 miles per hour
Third: 31.5 hours times 5.7 miles= 179.55 miles
Lastly: 179.55 miles for 31.5 hours
Events A and B are such that P() = 0.55 and P( ∪ ) = 0.75. Given that A and B are independent and non-mutually exclusive, determine P().
Given that A and B are independent and non-mutually exclusive. The answer is: P(A or B) = 0.52.
we haveP(A and B) = P(A) * P(B)P(A ∪ B) = P(A) + P(B) - P(A and B)
Also, given that P(A) = 0.55 and P(A ∪ B) = 0.75, we can find P(B)
as follows:0.75 = P(A) + P(B) - P(A and B)0.75 = 0.55 + P(B) - P(A and B)0.75 - 0.55 = P(B) - P(A and B)0.2 = P(B) - P(A) * P(B) [Using P(A and B) = P(A) * P(B)]0.2 = P(B)(1 - P(A)) [Taking out P(B) as a common factor]0.2 = P(B)(1 - 0.55) [Substituting the value of P(A)]0.2 = 0.45P(B) [Simplifying]P(B) = 0.2/0.45 = 4/9Now, we can find P(A or B) as follows:P(A or B) = P(A) + P(B) - P(A and B)P(A or B) = 0.55 + 4/9 - (0.55 * 4/9) [Substituting the values of P(A), P(B), and P(A and B)]P(A or B) = 1.16/2.25 [Simplifying]P(A or B) = 0.52
Therefore, the answer is: P(A or B) = 0.52.
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For independent and non-mutually exclusive A and B, the value of P(A ∪ B) is 0.64.
Events A and B are such that P(A) = 0.55 and P(A ∪ B) = 0.75.
A and B are independent and non-mutually exclusive.
To find out the probability of B, we can use the formula:
P(B) = P(A ∪ B) - P(A)
As we have already been given the value of P(A) and P(A ∪ B), so we can easily find the value of P(B)
P(B) = P(A ∪ B) - P(A)
P(B) = 0.75 - 0.55
P(B) = 0.2
Now, to find P(A ∩ B), we can use the formula:
P(A ∩ B) = P(A) × P(B)
As we have been given that A and B are independent events.
Hence, we can say that:
P(A ∩ B) = P(A) × P(B) = 0.55 × 0.2
P(A ∩ B) = 0.11
Now, we can use the formula of addition of probabilities to find P(A ∪ B):
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 0.55 + 0.2 - 0.11
P(A ∪ B) = 0.64
Therefore, the value of P(A ∪ B) is 0.64.
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Find the midpoint of the segment with the following endpoints.
(5,5) and (10,8)
Answer: G
Step-by-step explanation:
Answer:
(7.5, 6.5)Step-by-step explanation:
Edg 2021
Consider a sample with data values of 6, 17, 14, 7, and 16. Compute the variance. (to 1 decimal) Compute the standard deviation.
The standard deviation of the sample data is 4.6 and the variance is 21.2.
To compute the variance, follow these steps:
1. Calculate the mean (average) of the data values. In this case, (6 + 17 + 14 + 7 + 16) / 5 = 12.
2. Subtract the mean from each data value and square the result. For each value: (6 - 12)² = 36, (17 - 12)² = 25, (14 - 12)² = 4, (7 - 12)² = 25, and (16 - 12)² = 16.
3. Calculate the sum of all the squared differences: 36 + 25 + 4 + 25 + 16 = 106.
4. Divide the sum by the number of data values (5) to get the variance: 106 / 5 = 21.2 (rounded to 1 decimal place).
To compute the standard deviation, take the square root of the variance.
Standard deviation = √(21.2) = 4.6
Variance measures how much the data values differ from the mean, while the standard deviation represents the average amount of deviation from the mean. In this sample, the variance is 21.2 and the standard deviation is 4.6. These metrics help quantify the spread and variability of the data set.
Therefore the standard deviation of the sample data is 4.6.
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what is the equation of a parabola with the given vertex and focus ?
vertex(-2,5)focus(-2,6)
14.what is the center and radius of a circle with the given equation?
x^2+y^2-4x+10y=7
The equation of a parabola with vertex (h, k) and focus (h, k + p) is given by the equation (x - h)^2 = 4p(y - k). In this case, the vertex is (-2, 5) and the focus is (-2, 6). Since the x-coordinate of both the vertex and focus is the same, we can conclude that the parabola opens either upward or downward. The equation of the parabola is then (x + 2)^2 = 4p(y - 5).
The given equation x^2 + y^2 - 4x + 10y = 7 can be rewritten as (x^2 - 4x) + (y^2 + 10y) = 7. To complete the square, we need to add and subtract terms to both sides of the equation to create perfect square trinomials. By adding (4/2)^2 = 4 to the x terms and (10/2)^2 = 25 to the y terms, we have (x^2 - 4x + 4) + (y^2 + 10y + 25) = 7 + 4 + 25, which simplifies to (x - 2)^2 + (y + 5)^2 = 36. Comparing this equation to the standard form of a circle (x - h)^2 + (y - k)^2 = r^2, we can identify the center of the circle as (2, -5) and the radius as the square root of 36, which is 6. Therefore, the center and radius of the circle are (2, -5) and 6, respectively.
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What is the value of C?
Answer:
2
Step-by-step explanation:
Anyone know this and if do pls help
70% of the trip length, t, is 35 miles. Find t:
0.70t = 35. Dividing both sides by 0.70, we get:
35
t = ----------- = 50
0.70
The total trip length is 50 miles.
y varies directly with the cube of x
y = 108 when x = 3
Express y In terms of x
Answer:
y = 36x
Step-by-step explanation:
y varies directly with x ,
that is y [tex]\propto[/tex] x
Let k be constant
=> y = kx
=> 108 = k(3)
=> k = 108/3
=> k = 36
y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.
19.
20
Z
45°
y у
60°
63
2 =
I NEED HELP WITH NUMBER 19 PLEASE HELP!
z=90degrees
Y=135degrees
The cost of a car rental is $40 per day plus $0.22 per mile. You are on a daily budget of $84. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
200 miles
Step-by-step explanation:
Given data
cost of car rental per day= $40
cost per mile= $0.22
We are told that the budget is $84
The expression for the total cost is given as
y= 40+0.22x
where x = the distance travelled
now for y=$84, by substituting we can get x
84=40+0.22x
84-40=0.22x
44=0.22x
divide both sides by 0.22
x= 44/0.22
x=200
Hence the distance that $84 will go is 200 miles
QUESTION 1
1.1 Find the sum:
1.1.1 2+6+(-7) + 10 =
1.1.2 (-49) + (15) + (-10) =
Answer:
1.is 11
2. is-44
Step-by-step explanation:
1) 2+6-7+10
= 11
2) -49+15-10
= -44
What is the value of x? i will give brainliest please help
Answer:
I completely forgot how to do this I'm sorry
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this equation.
10*+25
How many valid solutions does the equation have?
The equation has
valid solution(s).
The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.
We have,
To determine the number of valid solutions for the equation
(10x + 25) / (3x + 12) = 5x / (x + 4), we need to solve the equation and check if there are any values of x that satisfy the equation while not causing any division by zero.
Let's solve the equation step by step:
(10x + 25) / (3x + 12) = 5x / (x + 4)
Cross-multiply to eliminate the fractions:
(10x + 25)(x + 4) = (3x + 12)(5x)
Expand both sides:
10x² + 40x + 25x + 100 = 15x² + 60x
Combine like terms:
10x² + 65x + 100 = 15x² + 60x
Subtract 10x² + 60x from both sides:
5x² + 5x + 100 = 0
Now we have a quadratic equation.
To solve it, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
For the equation 5x² + 5x + 100 = 0, a = 5, b = 5, and c = 100.
Calculating the discriminant (b² - 4ac):
Discriminant = (5²) - (4 x 5 x 100)
Discriminant = 25 - 2000
Discriminant = -1975
Since the discriminant is negative (-1975), the quadratic equation has no real solutions.
Therefore,
The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.
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OK a quarter steam covers a 100' square feet how many courts should you buy to stay in the wheelchair ramp
Answer:
He should buy about 2 quart of stain
Step-by-step explanation:
Find the diagram attached
First we need to find the area of the given ramp
The ramp consists of two identical triangles, a larger and small rectangles
Since area of triangle = 1/2 * base * height
Area of the identical triangles = 1/2 * 25ft * 25/12 ft (Note that 1ft = 12in)
Area of the 2 identical triangles = 2* 625/24ft² = 625/12 ft²
Area of the large rectangle = Length * Width
Area of the large rectangle = 25 1/12 * 5
Area of the large rectangle = 301/12 * 5
Area of the large rectangle = 1505/12 ft²
Area of the small rectangle = 25/12 * 5
Area of the small rectangle = 125/12 ft²
Area of the figure = 625/12 + 1505/12 + 125/12
Area of the figure = (625+1505+125)/12
Area of the figure = 2255/12
Area of the figure = 187.917
Area of the figure = 187.917ft²
Since a quarter steam covers a 100' square fee, then;
1 quarter = 100ft²
x = 187.917ft²
Cross multiply
100 * x = 187.917
100x =187.917
x = 187.917/100
x = 1.87917
x ≈ 2
Hence he should buy about 2 quart of stain
What’s 1/5 divided by 1/12?
How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.
Answer:
it is 2, 4 and 6
Step-by-step explanation:
Can some one tell me what is: B X H, cause its apart of my assignment
Answer:
Step-by-step explanation:
it is about math then b=base
and h =height
Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___
Answer:
9, 10, 11, 12, 13, 14, 15
Step-by-step explanation:
0 + 9 = 9
1 + 9 = 10
2 + 9 = 11
3 + 9 = 12
4 + 9 = 13
5 + 9 = 14
6 + 9 = 15
The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
x + 9
First sequence, Put x = 0
0 + 9 = 9
Second sequence, put x = 1
1 + 9 = 10
Second sequence, put x = 2
2 + 9 = 11
Second sequence, put x = 3
3 + 9 = 12
Second sequence, put x = 4
4 + 9 = 13
Second sequence, put x = 5
5 + 9 = 14
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5. Arrange these numbers in ascending order (from least to greatest) -2.6 -2.193 -2.2 -2.01 I
Answer:
see below
Step-by-step explanation:
-2.6
-2.2
-2.193
-2.01
Since they are negatives, the higher number it is, the smaller it actually is. The smaller the number is, that number will be closer to 0 and will actually be higher than the rest.
Hope this helps! :)
The sum of two numbers is 37 . The smaller number is 15 less than the larger number. What are the numbers?
Answer:
11 and 26
Step-by-step explanation:
x+x-15=37
x+x-15+15=37+15
x+x=52
2x=52
2x÷2=52÷2
x=26
26+26-15=37
37=37