Step-by-step explanation:
5f+2-4=2f-4f-8
CLT
5f-2f+4f=-8-2+4
7f=-6
f= -6/7
8-4m-6m=3m-4m+2
CLT
-4m-6m-3m+4m=2-8
-9m= -6
m=2/3
A type of golf ball is tested by dropping it onto a hard surface from a height of 1 meter. The height it bounces is known to be normally distributed. A sample of 25 balls is tested and the bounce heights are given below. Use Excel to find a 95% confidence interval for the mean bounce height of the golf ball. Round your answers to two decimal places and use increasing order.
Height
81.4
80.8
84.4
85.6
82.9
76.0
80.0
83.2
80.8
79.6
82.9
83.4
82.2
86.0
76.2
84.8
82.0
76.3
77.0
75.4
82.0
79.8
80.4
86.9
82.1
Answer:
79.95, 82.62
Step-by-step explanation:
using excel to find a 95% confidence interval for the mean bounce height of the golf ball
Heights given are :
81.4
80.8
84.4
85.6
82.9
76.0
80.0
83.2
80.8
79.6
82.9
83.4
82.2
86.0
76.2
84.8
82.0
76.3
77.0
75.4
82.0
79.8
80.4
86.9
82.1
The statistical out put of the problem after solving with excel is attached below
therefore the 95% confidence interval from the attached solution will be ( 79.95, 82.62 )
Answer: (79.95, 82.61)
Step-by-step explanation:
Use Excel to calculate the 95% confidence interval, where α=0.05 and n=25.
1. Open Excel and enter the given data in column A. Find the sample mean, x¯, using the AVERAGE function and the sample standard deviation, s, using the STDEV.S function. Thus, the sample mean, rounded to two decimal places, is 81.28 and the sample standard deviation, rounded to two decimal places, is 3.23.
2. Click on any empty cell, enter =CONFIDENCE.T(0.05,3.23,25), and press ENTER.
3. The margin of error, rounded to two decimal places, is 1.33. The confidence interval for the population mean has a lower limit of 81.28−1.33=79.95 and an upper limit of 81.28+1.33=82.61.
Thus, the 95% confidence interval for the mean bounce height of the golf balls is (79.95, 82.61).
Write an equation representing each option, where x represents the number of years invested and y represents the investment's value. Option 1: $50 initial investment with an anticipated average 9% annual return starting at age 30 X
The equation that represents the statement is
2y = 100+9x
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation.
If x represents the number of years invested and y represents the investment's value.
I = p×r×t/100
I = 50 × 9 × x/100
I = 9x/2
A = P+1
y = 50+ 9x/2
multiply both sides by 2
2y = 100+9x
therefore the equation of the statement is
2y = 100+9x
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If mL DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
С
o
B.
mDEB = ?
Answer:
236°
Step-by-step explanation:
The circumference of a circle is 360° since <DOC is given as 44° and <COB is given as 80° and the center angles are equal to the arc it sees the the measure of arc DEB would be 360 - 44 - 80 = 236°
A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position a new office between the two cities using weighted averages based on the typical number of calls received from each city. If Jonesville has a weight of 3 and Bellevue has a weight of 5, how far from Bellevue should the office be located?
The new office should be at a distance of 37.5 miles from Jonesville.
The weighted mean is the sum of all elements in a data-set multiplied by their weights, divided by the sum of the weights. For example, if x1 and x2 are the elements with weights w1 and w2 respectively, then the weighted average is calculated using the given formula-
M = {(x1*w1) + (x2*w2)}/ (w1+w2)
Here, we are given that two cities Jonesville and Bellevue, 60 miles apart.
Let Jonesville be at point 0 and Bellevue be at point 60.
Jonesville has a weight of 3 and Bellevue has a weight of 5.
Thus, the weighted average can be calculated as follows-
Mean = {(60*5) + (0*3)}/8
= 300/8
= 75/2
= 37.5
Thus, the new office should be at a distance of 37.5 miles from Jonesville.
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Using the table below,which statement best describes whether or not the relationship identifies a function?
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
which statement is true about finding the midpoint between two points located on a horizontal or vertical line ?
A . When finding the midpoint between two points on a vertical line, keep the y-coordinate and find the average of the x-coordinate
B . When finding the midpoint between two points on vertical line, keep x-coordinate and find the average of the y-coordinates
C . When finding the midpoint between two points on a horizontal line, the x-coordinate is always 0 and the y-coordinates are averaged
D. When finding the midpoint between two points on a horizontal line , the y-coordinate is always zero and the x-coordinates are averaged
Answer: B. When finding the midpoint between two points on a vertical line, keep the x-coordinate and find the average of the y-coordinates
a
9. Justin has a balance of $789.34 in his bank
account. These transactions appear on his
bank: -45.75, 145.67, 503, and-782.71.
After adjusting his account register, what is
his new balance?
Answer:
609.55
Step-by-step explanation:
789.34−45.75+145.67+503−782.71=609.55
Rubina Shaw, family plan.
HMO annual premium is $11,473.
Employer pays 73 percent.
Emplοyee's annual cοntributiοn: $3,097.71
Emplοyee's mοnthly deductiοn: $258.14
What is an algebraic expression?An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.
The emplοyee's percent is 100% decreased by the emplοyer's percent.
100%−73%=27%
Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:
27% × $11,473 = 0.27 × $11,473 = $3,097.71
The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.
The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.
$3,097.71 ÷ 12
= $258.14
Emplοyee's annual cοntributiοn: $3,097.71
Emplοyee's mοnthly deductiοn: $258.14
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Complete question:
Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.
Simplify the expression so there is only one positive power for the base, -5.
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
Kim made two pies that were exactly the same size. the first pie was a cherry pie, which she cut into 6 equal slices. the second pie was a pumpkin pie, which she cut into 12 equal slices. Kim takes her pies to a party. people eat 3 slices of cherry pie and 6 slices of pumpkin pie. did people eat more cherry pie or pumpkin pie?
Answer:
They ate the same amount of each pie
Step-by-step explanation:
The cherry pie was cut into 6 equal slices and 3 of these slices were eaten so that means there is 1/2 of the pie still left.
The pumpkin pie was cut into 12 equal slices and 6 of these slices were eaten so that also means there is 1/2 of the pie left.
Since both pies still have 1/2 left and they were both the same size then that means the same amount of pie was eaten from both the cherry and the pumpkin.
Hope this helps :)
the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?
Answer:
Step-by-step explanation:
\(tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m\)
9514 1404 393
Answer:
999 meters
Step-by-step explanation:
The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...
Sin = Opposite/Hypotenuse
We want to find the hypotenuse, so we use the rearranged form ...
hypotenuse = (mountain height)/sin(33°)
lift length = (544 m)/sin(33°) ≈ 998.83 m
The length of the lift from bottom to top is about 999 meters.
Express x²- 8x + 5 in the form (x - a)² - b where a and b are integers.
The expression will be;
⇒ (x- 4)² - 11
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x² - 8x + 5
Now,
Solve the expression as;
⇒ x² - 8x + 5
⇒ x² - 8x + 16 - 16 + 5
⇒ (x- 4)² - 11
Thus, The value of the expression = (x- 4)² - 11
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please help :((
show that 2x+1 /3 + 5x-2 /2 simplifies to 19x-4 /6
Hello!
(2x+1)/3 + (5x-2)/2
= (4x+2)/6 + (15x-6)/6
= (4x+2+15x-6)/6
= (19x-4)/6
Answer:
see explanation
Step-by-step explanation:
\(\frac{2x+1}{3}\) + \(\frac{5x-2}{2}\)
we require the denominators of both fractions to be the same value
the LCM of 2 and 3 is 6, so convert both denominators to 6
multiply the numerator/ denominator of the first fraction by 2
multiply the numerator/denominator of second fraction by 3
= \(\frac{2(2x+1)}{3(2)}\) + \(\frac{3(5x-2)}{2(3)}\)
= \(\frac{4x+2}{6}\) + \(\frac{15x-6}{6}\)
now add the numerators, with a common denominator of 6
= \(\frac{4x+2+15x-6}{6}\)
= \(\frac{19x-4}{6}\)
Five houses in the neighborhood sold this month for the following prices:
$328,000, $297,500, $415,000, $389,000, $345,000.
The house with the highest selling price sold for how much more than the median selling price?
Answer:
70,000
Step-by-step explanation:
Median= 345,000
Higest selling house= 415,000
415,000-345,000= 70,000
A triangle is translated by using the rule (x,y) → (x-4.y+1). Which describes how the figure is moved?
O four units left and one unit down
O four units left and one unit up
O one unit right and four units down
O one unit right and four units up
Mark this and return
Save and Exit
Next
Submit
Answer:
Four units left and one unit up
Step-by-step explanation:
Since we're subtracting from x, the figure is going to go toward the left side of the coordinate plane, and since we're adding to y, the figure is going to go up.
Graph your salary and
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x) = (4 - x)x^-3 for x > 0. (a) Find the t-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for the function f. Justify your answer. (b) Find all intervals on which the graph of f is concave down. Justify your answer. (c) Given that f(1) = 2, determine the function f.
x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.
Given that,
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x) = (4 - x)/x³ for x > 0
We have to find
(a)Discover the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.
We know that,
f'(x) = 4-x/x³ = 4/x³ - 1/x²
Critical point f'(x)=0
4-x/x³=0⇒x=4
Therefore, x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.
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HELP NOW!!!! thx :DDDD
Answer:
the second one
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
3 parts ginger ale to 2 parts raspberry juice
Maria correctly answered 16 of the 20 questions. What fraction of the questions did she answer correctly?
Compare each pair of expressions using >, <, or =.
.-32
. |-32|
5 -5
15
___|15|
. |5|_____|-5|
2-17
▾
2 ____ |-17|
. |-27|_____|-45|
.-27______-45
Comparing each pair of expressions using >, <, or = is given below:
15 > |___15| (because |___15| is equal to 15)2 - 17 < ▾ (because 2 - 17 equals -15, which is less than the square root symbol)-27 > -45 (because -27 is closer to zero than -45)'How to solve-32 < |-32| (because -32 is negative and |-32| is positive)
5 - 5 = 0 (because subtracting the same number results in zero)
15 > |___15| (because |___15| is equal to 15)
|5| = |___|-5|| (because both expressions are equal to 5)
2 - 17 < ▾ (because 2 - 17 equals -15, which is less than the square root symbol)
2 > |____|-17|| (because 2 is positive and |-17| is also positive)
|-27| > ||-45|| (because |-27| is 27 and ||-45|| is 45)
-27 > -45 (because -27 is closer to zero than -45)
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Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
(2x+1)(5x-8) rewrite as product of sum
The product of sum of the expression (2x+1)(5x-8) is 10\(x^2\)-11x-8.
What is product of sum?
Expressions that are a product of sums are Boolean expressions made up of sums of one or more variables, either in their true form or complemented form. Boolean expressions known as "product of sum expressions" are constructed by adding together sums of one or more variables in either their true form, complemented form, or a combination of both.
Here the given expression is ,
=> (2x+1)(5x-8)
=> [2x.5x - 8.2x+5x-8]
=> 10\(x^2\)-16x+5x-8
=> 10\(x^2\)-11x-8.
Hence the product of sum is 10\(x^2\)-11x-8.
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Find the solution to the equation7x + 3 = 9x - 3 - 2x
7x + 3 = 9x - 3 - 2x
7x - 9x + 2x = -3 - 3
0 = -6
equation doesn't have any solution
5[152+3{7-8(9-2)}] answer this math?
Answer:
9-2=7
-8*7=56
7-56=-49
-49*3=-147
152-147=5
5*5=25
THE ANSWER IS 25
The simplification of the given expression5[152+3{7-8(9-2)}] is 25.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
The given expression is;
5[152+3{7-8(9-2)}]
5[ 152 + 3 {7 -8 (7)}]
5[ 152 + 3 {7 -56}]
5[ 152 + 3 {-49}]
5[ 152 + {-147}]
5[ 5] = 25
Therefore, the simplification of the given expression5[152+3{7-8(9-2)}] is 25.
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The ratio of cats to dogs at the park was 5:7 if there were 60 total how many were dogs
Answer:
5
Step-by-step explanation: i think its right but you need to add the 5 and 7, and i divided it by the amount total, :)
Which choices are equivalent to the expression below? √-9
Answer:
Step-by-step explanation:
Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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Please will give brainliest and thanks for the problem
Answer:
y = -¼x + (-6)
Step-by-step explanation:
I was summoned?