Answer:
the answer should me 1.5 grams
Step-by-step explanation:
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The apple mean weight's 95% confidence interval is;
CI = (119.14, 125.86) (119.14, 125.86)
The confidence interval above should be understood as;
We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.
Ours is given;
12 for the standard deviation.
Sample size: 49; n
x = 122.5 is the indicated mean weight.
The current confidence interval formula is;
CI = x⁻ ± z(σ/√n)
Tables indicate that z = 1.96 at a 95% confidence level.
Thus;
CI = 122.5 ± 1.96(12/√49)
CI = 122.5 ± 3.36
CI = (122.5 - 3.36), (122.5 + 3.36)
CI = (119.14, 125.86)
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I need help with this it's urgent!
Answer:
I looks like it's anwser D
Answer:
$460.80
Step-by-step explanation:
with we us our formula equation I=prt we now cam solve for our depreciated value
with we substitute our varibles with the correct numerals we now get
I= 960 x 0.12 x 4
we turn our 12% into a decimal to be Simplified into our equation.
If we now solve we will get
I = 960 x 0.12 x 4
I = 460.8
which number produces an irrational answer when added to 3/4
Answer
pi.
Step-by-step explanation:
If you add pi (3.14) to 3/4, you will get an irrational answer.
What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
-3
0
ОООО
2
w
Save and Exit
Next
Submit
Mark this and return
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
Sahara started the day with $80.
She spent $60.
What fraction of her money has Sahara spent?
Give your answer as a fully simplified fraction.
Sahara has spent 3/4 of her money.
To find out what fraction of her money Sahara has spent, we need to first calculate how much money she has left after spending $60.
Starting with $80, subtracting $60 gives us $20.
Therefore, Sahara has $20 left.
To express this as a fraction, we need to use the total amount of money she started with as the denominator and the amount she has left as the numerator.
So, the fraction of her money that Sahara has spent is:
$60/$80
This can be simplified by dividing both the numerator and denominator by 20:
$60/$80 = $3/$4
Therefore, Sahara has spent 3/4 of her money.
It's important to understand fractions as they are a fundamental concept in mathematics. Fractions are a way of representing parts of a whole. The numerator represents the part of the whole that we are considering, while the denominator represents the total number of parts that make up the whole. In this case, the whole is the total amount of money Sahara started with, which was $80. The part that she spent was $60, so the fraction of her money spent is 3/4.
Fractions are used in many different mathematical operations, including addition, subtraction, multiplication, and division. It is important to be able to manipulate fractions in order to solve more complex problems in algebra and calculus.
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Which statement is true regarding the line y = -4x + 13? The line has a slope of -13. The line has a slope of 4. The line passes through the point (0, 13). The line passes through the point (0,-4)
Answer:
FalseFalseFalseFalseStep-by-step explanation:
to understand thisyou need to know about:linear equationPEMDASgiven:y=-4x+13
justify:if
The line has a slope of -13. The line has a slope of 4. The line passes through the point (0, 13). The line passes through the point (0,-4)let's justify:the slope-intercept form of a linear equation is
y=mx+bwhere,m is slope and b is y-intercept
let's justify the first and second statement
the line has a slope of -13The line has a slope of 4.our given equation is
y=-4x+13
where -4 is our slope or m
therefore,
1 and 2 statements are False
let's justify the third and fourth statement
The line passes through the point (0, 13)The line passes through the point (0,-4)our given equation is
y=-4x+13
where,13 is our y-intercept which means the line passes y-intercept when x=0
therefore,
third and fourth statements are False
The statement which is true regarding the line y = -4x + 13 is; The line passes through the point, (0, 13)
The equation of a straight line in slope-intercept form is usually of the form; y = mx + c
where m = slope and c is the y intercept with coordinate (0, c)
In essence, the slope of the equation of the line given, m = -4 and it's y-intercept is at point (0, 13).The statement which is true is therefore; The line passes through the point, (0, 13)
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what is the square root of 11 help me please note put the calculation please
Answer: 3.31662479036.
HELP!!!! At approximately what value of x do the two lines meet?
At value of x=4
What is coordinate of a point?
A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines are called coordinates. General form of coordinate is (x, y)
From the graph we can see , coordinates of that point where both the lines are intersecting is (4, -3)
Because x coordinate is = 4
and y coordinate is = -3
At the value of x=4, the two lines intersect each other
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1. Find the measure of y.
110°
z
yº
100°
87°
Answer:
97.8263768112
Step-by-step explanation:
Geometric Mean is denoted as 'x'
x = √(110×87)
x = √9570
∴ x = 97.8263768112
Define Geometric MeanThe Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values. For instance, the geometric mean for a given pair of numbers, say 3 and 1, is equivalent to (3 + 1) = 3 = 1.732.In other terms, the geometric mean is the product of n numbers divided by the nth root. The geometric mean differs from the arithmetic mean, as is noted. As a result of the fact that in arithmetic mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we multiply the provided data values before taking the root of the entire number of data values using the radical index. Take the square root, for instance, if there are two data points, the cube root if there are three, the fourth root if there are four, and so on.To learn more about Geometric Mean refer https://brainly.com/question/28347817
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Can anybody help me with this question?
Answer:
A
Step-by-step explanation:
Because when you multiply anything with exponents, you multiply the coefficient and add the exponents.
Can anyone solve this correctly?
Answer:
ANSWER160 in³
Step-by-step explanation:
First, Find the area of the base (rectangle)
A = LxW
= (10 in) x (8 in)
= 80 in²
Then, Find the volume of the pyramid using the formula (V = ⅓ x B x H)
V = ⅓ x B x H
= ⅓ x (80 in²) x (6 in)
= (2 in) x (80 in²)
= 160 in³
The line, y = 3x+2, is tangent to the circle with centre, C(-5,4), at the point Q.
Find the coordinates of Q.
The circle centered at C(-5,4) intersects the line y = 3x + 2 at the point Q, with coordinates (-1/10, 17/10). This point Q serves as the tangent point between the line and the circle.
To find the coordinates of the point Q where the line y = 3x + 2 is tangent to the circle with center C(-5,4), we can use the concept of the slope of a tangent line.
First, we need to find the slope of the tangent line. The slope of the line y = 3x + 2 is 3. For a tangent line to a circle, the radius drawn from the center of the circle to the point of tangency is perpendicular to the tangent line. Since the slope of the radius is the negative reciprocal of the tangent line's slope, the slope of the radius is -1/3.
Next, we find the equation of the radius line passing through the center C(-5,4) with a slope of -1/3. Using the point-slope form, we have:
y - 4 = (-1/3)(x + 5)
To find the point of tangency, we solve the system of equations formed by the line y = 3x + 2 and the radius line:
y = 3x + 2
y - 4 = (-1/3)(x + 5)
Substituting the value of y from the first equation into the second equation:
3x + 2 - 4 = (-1/3)(x + 5)
3x - 2 = (-1/3)x - 5/3
3x + (1/3)x = 5/3 - 2
(10/3)x = -1/3
x = -1/10
Substituting this value of x back into the first equation:
y = 3(-1/10) + 2
y = -3/10 + 20/10
y = 17/10
Therefore, the coordinates of the point Q, where the line y = 3x + 2 is tangent to the circle with center C(-5,4), are (-1/10, 17/10)
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the terminal point p(x, y) determined by a real number t is given. find sin(t), cos(t), and tan(t). 1 5 , − 2 6 5 sin(t) = cos(t) = tan(t) =
sin(t) = -sqrt(61) / 30, cos(t) = sqrt(61) / 15, and tan(t) = -5/3.
To find sin(t), cos(t), and tan(t) we need to use the coordinates of the terminal point p(x,y) determined by the real number t.
Given that the terminal point is (1/5, -2/6), we can find the values of sin(t), cos(t), and tan(t) using the following formulas:
sin(t) = y / r
cos(t) = x / r
tan(t) = y / x
where r is the distance from the origin to the point p(x,y), which can be calculated using the Pythagorean theorem:
r = sqrt(x^2 + y^2)
Plugging in the values for the coordinates of p(x,y), we get:
r = sqrt((1/5)^2 + (-2/6)^2) = sqrt(1/25 + 4/36) = sqrt(36/900 + 25/900) = sqrt(61/900)
sin(t) = (-2/6) / (sqrt(61/900)) = -sqrt(61) / 30
cos(t) = (1/5) / (sqrt(61/900)) = sqrt(61) / 15
tan(t) = (-2/6) / (1/5) = -5/3
Therefore, sin(t) = -sqrt(61) / 30, cos(t) = sqrt(61) / 15, and tan(t) = -5/3.
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The extent to which conclusions developed from data collected from a sample can be extended to the population is known as
The extent to which conclusions developed from data collected from a sample can be extended to the population is known as generalizability.
Generalizability is defined as the ability to extend the findings of a research study conducted on a sample to the population as a whole. The extent to which the research findings can be applied to other individuals, groups, or settings is determined by generalizability. The more representative the sample is of the population, the more generalizable the results will be to the population. However, if the sample is not representative of the population, the results may not be generalizable to the population as a whole. Therefore, it is important to ensure that the sample is representative of the population and that the study is conducted in a manner that minimizes bias and maximizes the validity of the results.
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Try to form a triangle by dragging points a and d, is it possible to form a triangle with side lengths 1, 5, and 3 units
Answer:
It is not possible.
Step-by-step explanation:
The triangle inequality theorem states that any 2 sides of a triangle must be greater than or equal to the other side. If you add 3 and 1, you get 4, and that is less than 5, so the triangle cannot exist.
Answer:
1. No
2. Yes
3. No
4. Yes
5. Yes
Step-by-step explanation:
These are the answers for edge 2021
In the 1980s, Earth had about five months of very hot weather. In the 1990s, Earth had about
22 months of very hot weather. What is the percent increase in hot weather months from the
1980s to the 1990s? Round to the nearest percent.
Answer:
340%
Step-by-step explanation:
1980s = 5 months of very hot weather
1990s = 22 months of very hot weather
What is the percent increase in hot weather months from the
1980s to the 1990s?
Percent increase = (22 months - 5 months) / 5 months × 100
= 17 / 5 × 100
= 3.4 × 100
= 340%
Percent increase in hot weather months from the 1980s to the 1990s is 340%
if 54735 = 53000+735+p what is the value of p
Answer:
1000 :)
Step-by-step explanation:
We need to subtract to solve!!
54735 - 53000 = 1735
1735 - 735 = 1000
Have an amazing day!!
Please rate and mark brainliest!!!
Write 2- miles in 3 hour as a unit rate. .
Answer:
Answer: 0.6666667 miles/1 hour
Step-by-step explanation:
2 miles/3 hours
2/3 = 0.6666667 mile
3/3 = 1 hour
Solve for d.
2d = 8
d = ?
Answer:
d = 4
Step-by-step explanation:
First, we take the equation 2d = 8
In order to find out what the value of 9 must be in order to make this equation true, we must isolate the variable. That can be done by doing the opposite operation. In this case, the opposite operation would be division since d is being multiplied by 2 to get 8.
So, we have to divide both sides of the equation by 2:
2d = 8
2 2
2d divided by 2 is equal to d.
And 8 divided by 2 is equal to 4.
Therefore, d is equal to 4.
Hope this helps!!
Answer:
d=4
.......................................
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y - 2 = 1/8(x+8)
Step-by-step explanation:
The slope of lines that are perpendicular are each other's opposite reciprocal.
so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.
Point-slope form : y - y1 = m(x - x1)
(x1,y1) = (-8,2)
so, y - 2 = 1/8(x+8) is our final answer!
Evaluate the expression.
12−{1+2[−1(3−8)]2}
What is the value of the expression?
Answer:
13
Step-by-step explanation:
12-{1+2[-1(3-8]2}
12-{1+2[-1-5]2}
12-{1+2[-6]2}
12-{3-4}
12-(-1)
12+1
13
Answer: -39 is the answer
Step-by-step explanation:
33. DF bisects ZEDG. Find the value of x. The diagram is not to scale.
From the given diagram, we can identify two right-angled triangles. The triangles are shown below:
Using trigonometric ratios, we can find x as follows
\(\begin{gathered} \sin 28^0\text{ = }\frac{7x\text{ + 15}}{DF} \\ \sin 28^0\text{ = }\frac{10x}{DF} \end{gathered}\)We can equate the expressions for DF as follows:
\(\begin{gathered} DF\text{ = }\frac{7x\text{ + 15}}{\sin 28^0} \\ DF\text{ = }\frac{10x}{\sin 28^0} \end{gathered}\)\(\begin{gathered} \frac{7x\text{ + 15}}{\sin28^0}\text{ = }\frac{10x}{\sin 28^0} \\ \text{Cancelling out sin 28}^0 \\ 7x\text{ + 15 = 10x} \end{gathered}\)Solving for x:
\(\begin{gathered} 7x\text{ - 10x = -15} \\ -3x\text{ = -15} \\ \text{Divide both sides by -3} \\ \frac{-3x}{-3}\text{ = }\frac{-15}{-3} \\ x\text{ = 5} \end{gathered}\)Answer:
x = 5
A line has slope 10/3 and passes through the point (-10,-7)
By substituting into the equation y=mx+b, find the value of b for this line.
PLEASE SOLVE ASAP! (crying emoji)
Answer:
(-10,-7)=x1,y1
m=10/3
we have,
y-y1=m(x-x1)
y+7=10/3(x+10)
3y+21=10x+100
y=10/3x+79/3
so the value of b is 79/3
In the year 2000, the population of Virginia was about 7,400,000.
Between the years 2000 and 2004, the population in Virginia grew
at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000 (1.054)*
gives the population x years after 2000.
9. In what year will the population reach 15,000,000?
10. In what year will the population reach 20,000,000?
Answer:
Step-by-step explanation: 7,400,000/5.4%=13,703.7
grows by 13,703.7 every 4 years
7+7
Segments in Circles, Geometry.
Solve for x.
The possible values of x found from the secant secant theorem are x = 10, and x = 3
What is the secant secant theorem?The secant secant theorem states when two secants drawn to a circle from a point external to the circle then the product of a secant and the external segment is equivalent to the product of the second secant and its external segment.
The secant secant rule indicates that we get;
(4 + 2) × 4 = (x - 7) × ((x - 7) + (x - 5))
Therefore;
(4 + 2) × 4 = 24 = (x - 7)² + ((x - 7) × (x - 5))
(x - 7)² + ((x - 7) × (x - 5)) = 24
2·(x - 7)·(x - 6) = 24
(x - 7)·(x - 6) = 24/2 = 12
(x - 7)·(x - 6) = 12
(x - 7)·(x - 6) - 12 = 0
x² -13·x + 42 - 12 = 0
x² -13·x + 30 = 0
(x - 10)(x - 3) = 0
Therefore; the values of x are;
x = 10, and x = 3
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Tim and Tom are trying to find the least number which is a perfect square and which is also divisible by 16, 18 and 45.
5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is \(3.34Km\)
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
\(tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)\)
Apply tan function in triangle ABP.
\(tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)\)
Substituting the value of equation 2 into equation 1.
\(H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km\)
Hence, The height of the mountain is \(3.34Km\)
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pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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One of the ideas that you have explored in previous courses is how to describe a set of data.
One of the ways that you may have seen before is finding an average (also called a mean). Read
the Math Notes box for this lesson to review what a mean is and how to find it. Then find the
mean of the data below.
The number of minutes Pam talked on the phone: 35, 40, 12, 16, 25, 10. Mean =
Answer:
Step-by-step explanation:
M = (35 + 40 + 12 + 16 + 25 + 10)/5
M = 138/5
M = 27.6
ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (2) AC = 6.15 cm. (b) Work out the length of AB.
By applying the knowledge of similar triangles, the lengths of AE and AB are:
a. \(\mathbf{AE = 3.9 $ cm}\\\\\)
b. \(\mathbf{AB = 2.05 $ cm} \\\\\)
See the image in the attachment for the referred diagram.
The two triangles, triangle AEC and triangle BDC are similar triangles.Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.
This implies that:
AC/BC = EC/DC = AE/DBGiven:
\(EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm\)
a. Find the length of AE:
EC/DC = AE/DB
Plug in the values\(\frac{8.1}{5.4} = \frac{AE}{2.6}\)
Cross multiply\(5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06\)
Divide both sides by 5.4\(AE = \frac{21.06}{5.4} = 3.9 $ cm\)
b. Find the length of AB:
\(AB = AC - BC\)
AC = 6.15 cm
To find BC, use AC/BC = EC/DC.
Plug in the values\(\frac{6.15}{BC} = \frac{8.1}{5.4}\)
Cross multiply\(BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1\)
Thus:\(AB = AC - BC\)
Substitute\(AB = 6.15 - 4.1\\\\AB = 2.05 $ cm\)
Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:
a. \(\mathbf{AE = 3.9 $ cm}\\\\\)
b. \(\mathbf{AB = 2.05 $ cm} \\\\\)
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