The standardized weight which represents the top 10% of the zucchinis from the z-score for the fisher farm the weights of zucchini squash are Normally distributed is 1.28.
Standardized normal distribution = Z given by ,
Z = (X - μ)/σ
Here, X is sample, is μ mean and is σ standard deviation.
At the Fisher farm, the weights of zucchini squash are Normally distributed.
For the normal distribution,
The value mean be 0 and standard deviation be 1.
Z = (X - μ)/σ
μ = 0 , σ = 1
Z = (X -0)/1
Z = X
For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,
Z = X
Z = 1.28
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Joe is 3 times as old as Pepe In how many years will Joe be only twice as old as Pepe ? How old are they now? How old will they be? When will they be the same age?
Approximate −12 + √32 the square root of thirty-two to the nearest tenth.
The approximate value of -12 + √32 is -6.3 to the nearest tenth.
What is an approximation?An approximation is anything that is similar, but not exactly equal, to something else.
The given expression is −12 + √32
The value of √32 is given as 5.656
Since,after decimal 6 to the right of 5 is greater than 5
To the nearest tenth, we can write as 5.7
∴ √32 = 5.7
For the required value of the expression we can write,
−12 + √32
Put the value of √32
Putting values in expression we have,
-12 + √32 = -12 + 5.7
Solving them
⇒ -12 + √32 = -6.3
Hence,the approximate value of -12 + √32 is -6.3 to the nearest tenth.
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How do I find the first four terms of the sequence?
well your first term is obviously 5, then substitite n for 2, 3, and 4
a2 = a1+5 --> a2 = 12
a3 = a2 +5 --> a3 = 17
a4 = a3+ 5 --> a3 = 22
Write a linear function f with the given values f(-3)=5, f(-1)=5
Answer f
Step-by-step explanation:
if 2 consecutive prime numbers have a sum of 42, what is the larger number?
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.
y Citrus Harvest
Number of Oranges
(hundreds)
10
8
6
N
0
*****
2
6 8
Number of Lemons
(hundreds)
10
The correlation coefficient, represented by "r," measures the strength and direction of the relationship between variables. In this case, the scatter plot suggests a strong negative correlation, estimated to be -0.9.
The correct answer is option B.
The scatter plot represents the number of oranges picked in hundreds and the number of lemons harvested in hundreds by many farmers. According to the plot, the best estimate of the correlation coefficient of the data is -0.9.
The correlation coefficient is a statistical measure that helps us to evaluate the relationship between two variables, and it is represented by the letter "r". It is an index that helps to measure the strength of the association between two variables.
The correlation coefficient r is a numerical value that ranges from -1 to 1; the sign (+ or -) tells us about the direction of the relationship. The closer the r-value is to +1, the stronger the positive correlation; the closer the r-value is to -1, the stronger the negative correlation.
When the r-value is equal to zero, it indicates that there is no correlation between the variables. Here, the scatter plot shows a negative correlation between the number of oranges picked and the number of lemons harvested.
Hence, the best estimate of the correlation coefficient of the data is -0.9. Therefore, the correct answer is option B.
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The correct question would be as
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.
y Citrus Harvest
Number of Oranges (hundreds)
10
8
6
0
Number of Lemons (hundreds)
8
6
2
0
According to the plot, which value is the best estimate of the correlation coefficient of the data?
A. -0.2 B.-0.9 C. 0.9 D. 0.2
0.25 + 2× + 4z + 0.75y
the constant term is the one that is multiplied by a variable or letter, so in this case the constant term is 0.25
HELP ITS DUE IN 3MIN :(
Bisecting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 15 centimeters and a height of 12 centimeters.
If everything but the circular bottom of the cake was iced, how many square centimeters of icing is needed for one cake? Use 3.14 for π and round to the nearest square centimeter.
810 cm2
585 cm2
2,543 cm2
1,837 cm2
Answer:
1,837
Step-by-step explanation:
#2. Use substitution to solve the system of equations
х= Зу
3x - 5y + 12
H
Solution: (
)
9
Step-by-step explanation:
3(3y) -5y+12
6y-5y+12
Y+12
There are 12 bags of apples on a market stall.
The mean number of apples in each bag is 8.
The table shows the number of apples
in 11 of the bags.
Calculate the number of apples in the 12th bag.
Optional working
Ansv apples
+
Number of
apples
6
7
8
9
10
Frequency
1
4
2
3
1
Answer:
Step-by-step explanation:
To calculate the number of apples in the 12th bag, we need to use the information given about the mean number of apples and the frequency of each bag.
Given data:
- Mean number of apples in each bag: 8
- Frequency distribution for 11 bags:
- Number of apples: 6, Frequency: 1
- Number of apples: 7, Frequency: 4
- Number of apples: 8, Frequency: 2
- Number of apples: 9, Frequency: 3
- Number of apples: 10, Frequency: 1
To find the number of apples in the 12th bag, we can calculate the total sum of apples in the 11 bags and subtract it from the expected total sum based on the mean.
Step-by-step calculation:
1. Calculate the total sum of apples in the 11 bags:
(6 * 1) + (7 * 4) + (8 * 2) + (9 * 3) + (10 * 1) = 6 + 28 + 16 + 27 + 10 = 87.
2. Calculate the expected total sum based on the mean:
Mean number of apples (8) multiplied by the total number of bags (12):
8 * 12 = 96.
3. Calculate the number of apples in the 12th bag:
Number of apples in the 12th bag = Expected total sum - Total sum of the 11 bags:
96 - 87 = 9.
Therefore, the number of apples in the 12th bag is 9.
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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Find me the area (in m2,rounded to 1 decimal place )
Answer:
110.0m^2
Step-by-step explanation:
Area = a x b x π
a = 5m, b = 7m so
Area = 35pi which is 110.0m squared to one decimal place
Denise is designing the seating arrangement for a concert an outdoor theater. to give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. help denise plan the rest of the seating by solving for how many seats are in row 18. then explain to denise how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.
The number of the seat in the 18th row will be 113.
What is the arithmetic sequence?Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
\(\rm a_n = a_1 + (n - 1)d\)
Denise is designing the seating arrangement for a concert, an outdoor theater.
To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats.
Then Denise plans the rest of the seating by solving for how many seats are in row 18.
Then the number of the seat in the 18th row will be given as
a₁ = 11
d = 6
n = 18
Then we have
a₁₈ = 11 + (18 – 1) x 6
a₁₈ = 11 + 17 × 6
a₁₈ = 11 + 102
a₁₈ = 113
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guys please help :(
What are the factors?
x = -2
x=0
x=3
x=1/4
Answer:
1. -2
2. 0
3. 3
4. 1/4
Step-by-step explanation:
It's pretty obvious
Write an equation that represents each side of the figure. Write ur equation in slope-intercept form.
Answer:
1. Equation for the top side: y = 3
2. Equation for the top right side: y = - 3/2x + 6
3. Equation for the bottom right side: y = 3/2x - 6
4. Equation for the bottom side: y = - 3
5. Equation for the bottom left side: y = - 3/2x - 6
6. Equation for the top left side: y = 3/2x + 6
Step-by-step explanation: The slope-intercept form of the linear equations is y = mx + b, where m is the slope and b is the y-intercept.
1. Equation for the top side:
The top side is the horizontal (flat) portion of the figure (hexagon) that crosses the y-axis at y = 3.
Horizontal lines have slope m = 0.
The y-intercept is the point where the line crosses the y-axis. Hence, it is b = 3.
Substituting in the form y = mx + b, you get the equation y = 3.
Therefore, the equation that represents the top side is y = 3.
2. Equation for the top right side:
The top right side is the leaned line that goes from the point (4,0), on the x-axis, up to the point (2,3).
You can find the equation of a line using the coordinates of any two points.
First find the slope, m:
m = rise / run = Δy/Δx = (0 - 3) / (4 - 2) = -3/2
Now, use the point-slope equation:
y - y₁ = m (x - x₁)
You can use either point (4,0) or (2, 3).
Choose (4,0):
y - 0 = - 3/2 (x - 4)
Solve for y:
y = -3/2x + 6
Therefore, the equation that represents the top right side is y = -3/2x + 6.
3. Equation for the bottom right side:
The bottom right side is the leaned line that goes through the points (4,0) and (2, -3).
Again, you can find the equation using the coordinates of any two points.
First find the slope, m:
m = rise / run = Δy/Δx = [0 - (-3) ] / (4 - 2) = 3/2
Now, use the point-slope equation:
y - y₁ = m (x - x₁)
You can use either point (4,0) or (2, -3).
Choose (4,0):
y - 0 = 3/2 (x - 4)
Solve for y:
y = 3/2x - 6
Therefore, the equation that represents the bottom right side is y = 3/2x - 6.
4. Equation for the bottom side:
The bottom side is the horizontal line that intercept the y-axis at y = - 3.
The slope of a horizontal line is m = 0.
The y-intercept is the y value where the line crosses the y-axis: b = - 3.
Therefore, the equation for the bottom side is y = - 3
5. Equation for the bottom left side:
The bottom left side is the leaned line that goes through the points ( - 4,0) and ( - 2, -3).
Again, you can find the equation using the coordinates of any two points.
First find the slope, m:
This line is parallel to the top right side, hence they slopes are equal:
m = - 3/2
Now, use the point-slope equation:
y - y₁ = m (x - x₁)
You can use either point ( - 4,0) or ( - 2, -3).
Choose ( - 4,0):
y - 0 = - 3/2 [ x - ( - 4) ]
Solve for y:
y = - 3/2x - 6
Therefore, the equation that represents the bottom left side is y = - 3/2x - 6.
6. Equation for the top left side:
The top left side is the leaned line that goes through the points ( - 4,0) and ( - 2, 3).
Again, you can find the equation using the coordinates of any two points.
First find the slope, m:
This line is parallel to the bottom right side, hence they slopes are equal:
m = 3/2
Now, use the point-slope equation:
y - y₁ = m (x - x₁)
You can use either point ( - 4,0) or ( - 2, 3).
Choose ( - 4,0):
y - 0 = 3/2 [ x - ( - 4) ]
Solve for y:
y = 3/2x + 6
Therefore, the equation that represents the top left side is y = 3/2x + 6.
Answer:
gyinffy jttuoijy8cuxgux6xucciik9v8v
5x - 347 = 2,16 [...]
What digit(s) make this equation a whole number?
Answer:
2,16[-803,24]
Step-by-step explanation:
5×-347=-1735
5×-347=-1735/2,16
5×-347=2,16[-803,24]
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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Hello I hope you having a good day what is 163 dived by 859
Answer:
Exact Form:
163 /859
Decimal Form:
0.18975552 969
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Please give me Brainliest
How to measure 4 tablespoons of butter
1⁄4 cup = 1⁄2 stick = 4 tablespoons = 2 oz. = 57g
1⁄2 cup = 1 stick = 8 tablespoons = 4 oz. (1⁄4 pound) = 113g
3⁄4 cup = 11⁄2 sticks = 12 tablespoons = 6 oz. = 170g
1 cup = 2 sticks = 16 tablespoons = 8 oz. (1⁄2 pound) = 227g
11⁄4 cups = 21⁄2 sticks = 20 tablespoons = 10 oz. = 284g
11⁄2 cups = 3 sticks = 24 tablespoons = 12 oz. (3⁄4 pound) = 341g
13⁄4 cups = 31⁄2 sticks = 28 tablespoons =14 oz. = 398g
2 cups = 4 sticks = 32 tablespoons = 16 oz. (1 pound) = 454g
The wrapping on each stick indicates tablespoon measures (8 tablespoons per stick). So if you are using cup measures you could pack the butter into a measuring cup or below is a ready reckoner which may help if you have scales. 1 stick butter = 8 tablespoons = 1/2 cup = 4 ounces/110g.
Common measurements:
1 kilogram = 2.2lbs
454 grams = 1lb = 16 oz
28.35 grams = 1 oz
1 tbsp = 15 ml
1 tsp = 5ml
1 tbsp = 3 tsp
4 tbsp = 1/4 cup
1 cup = 250ml = 8 fluid oz
1 fluid oz = 29.5 ml = 2 tbsp
1 pint = 2 cups
You could see that 4 tablespoons = 1/4, so you could pour and melt it in a measuring cup.
what is the decimal expansion for 16/30
2. While Amir is looking for Hassan and the blue kite, he runs into two different men who make fun of Hassan. Why
Amir's search for Hassan and the blue kite occurs in the novel "The Kite Runner" by Khaled Hosseini. The two men Amir encounters mock Hassan primarily because of his Hazara ethnicity, which is a marginalized and discriminated group in Afghanistan.
Hassan's social status is further complicated by the fact that he is Amir's family's servant, emphasizing the existing class differences between them. The novel portrays the social and cultural tensions in Afghanistan during that period, highlighting the disparities between the dominant Pashtun ethnic group, which Amir belongs to, and the Hazara minority. These disparities manifest in various forms of prejudice, including mockery, which further emphasizes the power dynamics at play.
In this particular scene, the men's mockery of Hassan is an attempt to belittle and demean him, thereby reinforcing the status quo that supports their own position within the social hierarchy. Amir's reaction to the situation also sheds light on his internal struggle with loyalty, friendship, and personal identity.
In conclusion, the men mock Hassan due to his Hazara ethnicity and his position as a servant in Amir's household, reflecting the societal prejudices and power imbalances present in Afghanistan during that time.
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a right circular cylinder with radius 2 is inscribed in a hemisphere with radius 5 so that its bases are parallel to the base of the hemisphere. what is the height of this cylinder?
Answer:
Step-by-step explanation:
We can use the Pythagorean Theorem to find the height of the cylinder
We have
height = √ [ 5^2 - 2^2 ] = √[25 - 4] = √21 units
one-sample z test of the assumed 95% lower n mean se mean bound z p 8 105.20 1.77 ? ? ? standard deviation 5 mu 100 vs 7 100. ) fill in the missing values in the output. can the null hypothesis be rejected at the 0.05 level of significance? explain your answer. (b) suppose that the alternative hypothesis had been what is the p-value in this situation? can the null hypothesis be rejected at the 0.05 level of significance? (c) suppose that you were asked to find a 95% two-sided ci on the mean. would the lower confidence bound in the two-sided ci be greater than the one-sided lower confidence bound that you computed in part (a)?
The null hypothesis can be rejected at the 0.05 or 5 % level of significance according to Decision Rule.
The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental results are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the product of chance. It is claimed to be a claim made by surveyors who wish to look at the data. The symbol for it is H0.
Given : n = 8
\(\large \bar{X}=105.20 \\\\ \larg\frac{\sigma}{\sqrt{n}}=1.77 \\ \\ \large \alpha=0.05 \large \mu_0=100\)
a ) We want to find the 95% confidence interval for mean
Therefore ,
\(\large (105.20-Z_{0.05}*1.77,105.20+Z_{0.05}*1.77)\\\\\large (105.20-1.64*1.77,105.20+1.64*1.77)\\\\\large (105.20-2.9028,105.20+2.9028)\)
(102.2972,108.1028)
b ) Hypothesis :
\(\large H_0:\mu=100 \\ \\ \large H_1:\mu\neq 100\)
The test statistic under H is given by ,
\(\large Z\rightarrow N(0,1)\\\\ \large Z =\frac{105.20-100}{1.77}\\\\ \large =\frac{5.20}{1.77}\\\\\large =2.9379\)
\(P value \large =P(Z > |Z_{cal}|)\)
=P(Z>2.9379)
=0.001652
Decision Rule : If P value \(< \large \alpha\) then reject at \(\large \alpha\) % level of significance accept otherwise
Here , P value = 0.001652 < \large \alpha = 0.05
Therefore , reject H at 5% level of significance.
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is this congruent or not
According to the Greek mathematician Zeno, if each bounce of a ball is half the height of the bounce before it, the ball will never stop bouncing. Write the fractions in hundredths that should be written up points B and C.
The fractions written up points B and C are 50% and 25%, respectively, in hundredths.
We have,
Let's assume that the initial height of the ball is 100 units
(could be meters, feet, or any other unit of measurement).
At point B, the ball reaches a height of 50 units since each bounce is half the height of the bounce before it.
The fraction of the height of the ball at point B compared to its initial height.
= 50/100 = 0.5 or 50%
At point C, the ball reaches a height of 25 units.
Again, using the same logic, the fraction of the height of the ball at point C compared to its initial height.
= 25/100
= 0.25 or 25%
Thus,
The fractions written up points B and C are 50% and 25%, respectively, in hundredths.
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9 (4 + 2c) = ?
THANK YOUUUUU
Answer:
18c + 36
Step-by-step explanation:
Rearrange Terms:
9 (4 + 2c) =
9 (2c + 4) =
18c + 36
Hope this helps! :)
DUE NOW !!!please help, i’m almost finished, don’t joke around or i will be taking my points back thank yo!!
Answer:
292.5cm squared
Step-by-step explanation:
15x11=165
15x17=255 divided by 2 127.5+165=292.5
Your friend separated a box of 100 brownies into two groups and wrote the following expression to demonstrate this 40+60 rewrite the expression as the product of the GFC and another sum hint use a mathematical property to help you do not solve this expression you are writing the an equivalent expression.
The equivalent expressions 40+60 is 20(2+3). This property is said to be distribution
What are equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
The expression 40+60 can be written as 20(2+3)
.This is done by buying out the greatest common factor . The greatest common factor is 20. This means that 20×2 + 20×3 is thesame as 40 +60. Factoring 20 out it will give 20( 2+3).
This property is called distributive property
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a helpful rule for converting radians to degrees is
Answer:
Degrees = Radians x 180/π
or
Degrees = 57.2958 x radians
Step-by-step explanation:
1 radian = 180/π degrees
1 radian = 57.2958 degrees
Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees
π radians = 180°
2π radians = 360° which is the number of degrees in a circle
For anything greater than 2π radians you will have to subtract 360°
For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°
But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°
NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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