The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.
A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
Answer:
A) 0.0359
B) 0.0829
Step-by-step explanation:
A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359
B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829
Question 8 (1 point) A man launches a toy rocket from the roof of a building 72 feet off the ground. The rocket has an initial velocity of 88 feet per second. The height of the ball t seconds after it was thrown into the air can be modeled by the function. h(t) = -16ť +88t + 72 Find the maximum height that the ball reaches during its flight.
Answer:
thanks for the points and sorry i dont under stand
Step-by-step explanation:
Find the equation for the circle with center (-1, - 4) and passing through (-5,5).
Answer:
[tex](x+1)^2+(y+4)^2=97[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle centered at (h,k):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where r is the radius
1) Plug in the center
[tex](x-(-1))^2+(y-(-4))^2=r^2\\(x+1)^2+(y+4)^2=r^2[/tex]
2) Plug in the given point and solve for r²
[tex](x+1)^2+(y+4)^2=r^2[/tex]
Plug in (-5,5)
[tex](-5+1)^2+(5+4)^2=r^2\\(-4)^2+(9)^2=r^2\\16+81=r^2\\r^2=97[/tex]
3) Plug r² back into the equation
[tex](x+1)^2+(y+4)^2=r^2\\(x+1)^2+(y+4)^2=97[/tex]
I hope this helps!
The table shows the monthly rainfall amount in Honolulu, Hawaii during one year.
Month
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Rainfall
Amount 2.73 2.35 1.89 1.11 0.78 0.43 0.50 0.46 0.74 2.18 2.27 2.85
(In Inches)
What is the median monthly rainfall amount?
O A. 0.43
OB. 0.47
O c. 1.11
D. 1.50
E. 1.52
Answer:
Option D: 1.50
Step-by-step explanation:
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (32.03)4/5
Answer:
16.024
Explanation:
Using linear approximation:
We breakdown the numbers in order to solve thus:
[32(1 + 0.1875)]^0.8
= (32^0.8)*(1 + 0.001875)^0.8
= 16* (1 + 0.8*0.001875)
= 16*(1.0015)
= 16.024
The estimated value of the given number is 16.02
What is linear approximation?A linear approximation is an approximation of a general function using a linear function. They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.
[tex]f(x) = x^{4/5}[/tex] at [tex]x_o = 32\\[/tex] [tex]\Delta\ x = 0.05[/tex]
[tex]f(x) = 32^{4/5} = 16[/tex]
[tex]f'(x) = (4/5)x^{-1/5}\\\\f'(32) = (4/5)32^{-1/5}\\\\= 0.4[/tex]
[tex]L(x) = 0.4(x-32)+16 = x^{4/5}\\\\L(32.05) = 0.4(32.05-32)+16\\\\= 16.02 \\\\= (32.05)^{4/5}[/tex]
Hence, the estimated value of the given number is 16.02
learn more about linear approximation click;
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Write five and twenty-two thousandths as a decimal
The sentence 'five and twenty-two thousandths' are written in a decimal form as 5.022.
What is a decimal number?The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The given information is five and twenty-two thousandths can be written as in the decimal.
[tex]5 + \dfrac{22}{1000}\\\\\\\dfrac{5000 + 22 }{1000}\\\\\\\dfrac{5022}{1000}\\\\\\5.022[/tex]
The sentence 'five and twenty-two thousandths' are written in a decimal form as 5.022.
More about the decimal number link is given below.
https://brainly.com/question/4708407
(C+8)^2=16
(12,4)
(-4,-12)
(24,-8)
(8,-24)
How should I answer?
Evaluate Using the Given Value
Simplify the Matrix
Solve the Function Operation
Evaluate the Function
Graph
Find the Derivative - d/dc
Solve Using the Square Root Property
Find the Equation Using Point-Slope Formula
More...
will edit and give answer just don't know what you are asking comment down below what you need help on. Happy to help :)
Answer:
The possible solutions are -4 and -12
Step-by-step explanation:
(C+8)^2=16
Take the square root of each side
sqrt((C+8)^2)=sqrt(16)
C+8 = ±4
C+8 = 4 C+8 = -4
Subtract 8 from each side
C+8-8 = 4-8 C+8-8 = -4-8
C = -4 C = -12
The possible solutions are -4 and -12
are 5x and x+5 equivalent expressions?
Answer:
No.
Step-by-step explanation:
5x represents the product of 5 and an unknown number (x).
5x can also be written as 5 * x.
x + 5 represents the sum of 5 and an unknown number (x).
Hope this helps.
he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82 Click here for the Excel Data File (Round your answers to 2 decimal places.) Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
find the value of x: then find the measure of each angle
Answer:
Step-by-step explanation:
In a parallelogram, opposite angles are equal.
∠G = ∠E
5x - 9 = 3x + 11
Add 9 to both sides
5x = 3x + 11 + 9
5x = 3x + 20
Subtract 3x from both sides
5x- 3x = 20
2x = 20
Divide both sides by 2
x = 10
∠G = 5x - 9
= 5*10 - 9
= 50 - 9
∠G = 41°
∠G = ∠E = 41°
In parallelogram, adjacent angles are supplementary.
∠G + ∠D = 180
41 + ∠D = 180
∠D = 180 - 41
∠D = 139
∠D = ∠F = 139°
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answer:
sylvia is 14 and brother is 7
Step-by-step explanation:
theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7
It takes Max 9 minutes to read 10 pages of his book. Which equation represents the
relationship between the number of pages, p, that Max can read and the number of
minutes, m?
Answer:
y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x
A Fulcrum of a Pyramid is 6cm Square at the
top and 12cm square at the bottom and is loem highe
Calculate the volume of the fulcrum.
Answer:
288 cubic cm
Step-by-step explanation:
Volume of the pyramid = 1/3 * base area * height
Base area = 12 * 12
Base area - 144 sq. cm
Height = 6cm
Volume of the pyramid = 144 * 6/3
Volume of the pyramid = 144 * 2
Volume of the pyramid = 288 cubic cm
I Need Help With This Don’t Seem To Understand 8
IT
Answer:
44.402
Step-by-step explanation:
Equation
SA = 2L*W + 2L*H + 2*WH
Givens
L = 2.7
W=1.13
H = 5
Solution
LW = 2.7 * 1.13 = 3.051
LH = 2.7 * 5 = 13.5
WH = 1.13 * 5 = 5.65
SA = 2*3.051 + 2*13.5 + 2*5.65
SA = 6.102 + 27 + 11.3
SA = 44.402
HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!
Write an equation for a line perpendicular to y = − 5 x − 4 and passing through the point ( − 15 , − 1 ) . Express your answer in slope-intercept form.
Step-by-step explanation:
my answer is in the image above
Mrs Lia has 14 pounds of modeling clay
Answer:
20
Step-by-step explanation:
Answer:
20 is the answer
Step-by-step explanation:
A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have acceptable voltages. Suppose that 90% of all batteries from a certain supplier have acceptable voltages. Among twenty randomly selected flashlights, what is the probability that at least nineteen will work? What assumptions did you make in the course of answering the question posed? a. we have assumed here that the batteries' voltage levels are independent. b. we have assumed here that the batteries' voltage levels are dependent.
Answer:
a) 0.064
b) 0.002
Step-by-step explanation:
a) Assuming that the batteries' voltage levels are independent
Probability = 0.8 * 0.8 = 0.64
b) batteries' voltage levels are dependent
20/19 (0.064)^19 *0.036 + 20/20 (0.064)^20 *0.036^0
= 0.002
Who ever answers will be marked BRAINLYEST!!!!
Answer:
A. 1.5 Mil B. 0.67 Mil
Answer:
a) 1.5 milliliters, b) 0.67 milliliters
Step-by-step explanation:
100 ml vinegar mixes with 150 ml soy sauce
So, 1 ml vinegar mixes with (150/100) = 1.5 ml soy sauce.
Again,
150 ml soy sauce mixes with 100 ml vinegar
So, 1 ml soy sauce mixes with (100/150) = 0.67 ml vinegar.
Hope, this will help and if so, then please mark me as brainliest.
Do the ratios 7/ 28 and 2/ 8 form a proportion?
Answer:
Step-by-step explanation:
the ht eteht ehtwlqhadhd nnnnnnn
Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41
Answer:
3.8
Step-by-step explanation:
We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.
Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8
Please help is for now :(
PERR AMD A PEERN2 SJE
Answer:
3 peers
Step-by-step explanation:
Answer:
Three? Is it three?
Step-by-step explanation:
help may oplpkpk.........
Mr Zuro finds the mean height of all 13 students in his statistics class to be 68.0inches. Danielle walks in late. Danielle is 72.2 inches tall. What is the mean height of the 14 students in the class
Answer:
l don't no the answer
sorry
Which is the graph of the function: f(x) = x2 - 4x + 3
Answer:
Option 1
Step-by-step explanation:
To find the graph of the quadratic function, we find it's zeros.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
f(x) = x² - 4x + 3
This means that [tex]a = 1, b = -4, c = 3[/tex]
So
[tex]\Delta = b^{2} - 4ac = (-4)^2 - 4(1)(3) = 16 - 12 = 4[/tex]
[tex]x_{1} = \frac{-(-4) + \sqrt{4}}{2} = 3[/tex]
[tex]x_{2} = \frac{-(-4) - \sqrt{4}}{2} = 1[/tex]
Zeros at x = 1 and x = 3, that is, it crosses the x-axis at this values, so the graph is given by option 1.
k+1/2 =4 solve for the variable
Answer:
k+1/2 =4
subtract 1/2 from both sides
= k = 3.5 or 3 1/2
Answer:3.5
Step-by-step explanation:
5. Sara thinks the following expressions are equivalent:
2x + 3 = x/2 + 3/4
Is she right? If so, prove that these two expressions are equivalent. If not, what error(s) did she make?
[tex]\sf\purple{No, \:Sara\: is \:wrong.}[/tex]
[tex]2x + 3≠ \frac{x}{2} + \frac{3}{4} [/tex]
[tex]\sf\red{Here's\:why:}[/tex]
[tex]L. H. S. = 2x + 3[/tex]
[tex]R. H. S = \frac{x}{2} + \frac{3}{4} \\ = \frac{x \times 2}{2 \times 2} + \frac{ 3}{4} \\ = \frac{2x + 3}{4} [/tex]
Clearly,
[tex]2x + 3≠ \frac{2x + 3}{4} \\✒ \: L.H.S.\:≠\:R. H. S. [/tex]
[tex]\boxed{Therefore,\:the\:two\:expressions \:are\:not\:equivalent.}[/tex]
To make them equivalent, Sara can simply divide L. H. S. by 4.
By doing so, she'll have
[tex] \frac{2x + 3}{4} = \frac{2x + 3}{4} \\ ๛L.H.S.=R. H. S[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
If Ryan walks 5 miles in 100 minutes then how far away walk in 113 minutes
Find the value of x. Round to the nearest.
Answer:
Solution given:
perpendicular [P]=x
base[B]=9
hypotenuse [H]=41
Now.
By using Pythagoras law
H²=P²+B²
41²=x²+9²
x²=41²-9²
x=[tex]\sqrt{1600}=40[/tex]
x=40 is a required answer.
Function A and Function B are linear functions. Function A Function B v = 1x - 2 X -7. -19 2 Which statement is true? The slope of Function A is greater than the slope of Function B. The slope of Function A is less than the slope of Function B.
Answer:
Slope of function A is less than slope of function B
Step-by-step explanation:
Given :
Function A:
1/2x - 2
Function B:
Fitting the data using technology, the linear model obtained is :
1.424x - 7.373
The general form of a linear model is :
y = bx + c
Where, b = slope
The slope of each function is :
Function A ; slope = 1/2 = 0.5
Function B ; 1.4
Slope A < Slope B