Answer:
[tex]18 \: gallons = 45 \: seconds \\ 40 \: gallons = ( \frac{40}{18} \times 45) \: seconds \\ = 100 \: seconds[/tex]
The map slake reads 2 inches =25 miles which distance does 6 inches represent
Answer:
75 miles
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{25}{2} = \frac{x}{6}[/tex]
Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)
[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]
Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]12\frac{1}{2}\times6\\\\= 75[/tex]
Therefore, 75 is the distance in miles.
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?
Answer:
False
Step-by-step explanation:
Precision describes repeatability.
Accuracy describes the closeness of a measurement to the actual value.
So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).
Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.
Determine if these values form a right triangle. E
Answer:
They do not.
Step-by-step explanation:
a² + b² = c² c is the hypotenuse
9² + 12² = 17²
81 + 144 = 289
225 ≠ 289
Which answers describe the shape below
Answer:
B. parallelogramStep-by-step explanation:
stay safe, stay healthy and blessed.
thank u
Answer:
a b c d e
Step-by-step explanation:
2 Which of the following is true about rhombus LMNO?
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.
Angle MLO measures 112°. What is the measure of angle MLP?
45°
56°
68°
90°
Step-by-step explanation:
B
What is the measure of remote angle, ∠A?
Answer:
40
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<A = 1/2 (80)
<A = 40
A company's daily cost c, in hundreds of r dollars, to manufacture n items of a certain product can be modeled by the function c^-1(5)=80, Lording to the model, which of the following is the best interpretation of c ^1(5) = 80, where c^1 is the inverse function of c ?
a) The company's daily cost to manufacture 5 items of the product is $80.
b) The company's daily cost to manufacture 5 items of the product is $8,000.
c) The company's daily cost to manufacture 500 items of the product is $80.
d) The company's daily cost to manufacture 80 items of the product is $5.
e) The company's daily cost to manufacture 80 items of the product is $500.
Answer:
e) The company's daily cost to manufacture 80 items of the product is $500.
Step-by-step explanation:
We have that:
c is the cost in hundreds of dollars to manufacture n items. The input is the number of items, and the output is the cost, in hundreds of dollars.
Inverse function:
In the inverse function, the input and the output are exchanged from the original function, that is, in this situation, the input in the cost, in hundreds of dollars, and the output is the number of manufactured items.
c^-1(5)=80
Input of the inverse function is 5, which is the cost, in hundreds of dollars, that is, $500, to manufacture 800 itens. This means that the correct answer is given by option e.
Rationalise
[tex]{ \frac{1 + \sqrt{3} }{ \sqrt{12} } } [/tex]
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{2\sqrt{3} + 6}{12}[/tex]
Step-by-step explanation:
Simplify the denominator of [tex]\frac{1 + \sqrt{3} }{\sqrt{12} }[/tex] completely.
[tex]=> \frac{1 + \sqrt{3} }{ \sqrt{(4 \times 3)} } = \frac{1 + \sqrt{3} }{\sqrt{4} \times \sqrt{3} } = \frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex]
Now, to rationalise it you need to make the denominator rational.
Multiply & divide [tex]\frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex] by [tex]2\sqrt{3}[/tex].[tex]=> \frac{1 + \sqrt{3} }{2\sqrt{3} } \times \frac{2\sqrt{3} }{2\sqrt{3} }[/tex]
[tex]=> \frac{(1 + \sqrt{3})\times 2\sqrt{3} }{2\sqrt{3} \times 2\sqrt{3} }[/tex]
[tex]=> \frac{2\sqrt{3} + 6 }{12}[/tex]
What is the product?
2 3 4
5 9 -1 -7
11 5 -3
Answer:
-1247400
Step-by-step explanation:
See the Image below:) I believe this is what you are looking for.
PLEASE HELP GUYS I’m being timed
The question is the base of the triangle, so we use the formula : b²=c²–a²
——————————————————————
[tex] {b}^{2} = \sqrt{c^{2} - {a}^{2} }[/tex]
[tex] {b}^{2} = \sqrt{ {16}^{2} - {8}^{2} } [/tex]
[tex] {b}^{2} = \sqrt{256 - 64} = \sqrt{192} [/tex]
[tex] \sqrt{192} =8 \sqrt{3} [/tex]
Jon Deposits $14,500 into an account paying 5% annual interest compounded quarterly and Sara deposits $16,250 into an account paying 4% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Jon:
Initial investment (PV)= $14,500
Interest rate (i)= 0.05/4= 0.0125
Number of periods (n)= 4 quarters
Sara:
Initial investment (PV)= $16,250
Interest rate (i)= 0.04/365= 0.00011
Number of periods (n)= 365 days
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+ i)^n
Jon:
FV= 14,500*(1.0125^4)
FV= $15,238.71
Sara:
FV= 16,250*(1.00011^365)
FV= $16,915.67
Sara will have $1,676.96 more than Jon.
Prodigy
GCA Connect
C Clever | Portal
☆ Member Log
Find the Volume.
10 points
7 m
5 m
4 m
Answer:
140 m^3 = 7 x 4 x 5
Step-by-step explanation:
Volume = H * W * L
Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =
Answer:
y=6
Step-by-step explanation:
the equation that relates x and y is y=30(1÷x)
Plz help me well mark brainliest if correct....??????????????...
Answer:
D). 100
Step-by-step explanation:
The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100
Please help me Simplify 1-9÷7+3
Answer :
the answer is -4/5 or -0.8
step-by-step explanation:
1-9/7+3 = -8/10
now simplify that,
-8/2 = -4
10/2 = 5
so we have -4/5 0r -0.8
Answer:
[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]
hope this helps you
Solve the area
I hate geometry
Answer:
Step-by-step explanation:
Area of a llgm = base * height
Base = 20 ft.
Height = 10 ft.
Area = 20*10 = 200 ft.
Hope it helps u
Please mark as brainliest
Thank You
Answer:
200ft
Step-by-step explanation:
Area of a parallelogram is b*h .
base, b=20ft
height, h= 10ft
Therefore, area= 20*10=200ft
Pls help me on this due today plssss!!!
Answer:
Step-by-step explanation:
A+B+C+D=360 degree (being one complete turn)
360 degrees
Step-by-step explanation:
because it a venticular angle you one side(180) and the other side (180) given you 360 degrees
Juan family hang their clothes outside to dry, if they use the dryer, there $400 monthly bill will increase by % wich means it will cost $700
1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?
Answer:
4/5
Step-by-step explanation:
here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5
Type the correct answer in the box.
Consider the system of linear equations below.
-3x+4y=24
6x+2y=-18
Answer:
[tex] - 3x + 4y = 24 \\ 3x - 4y = - 24 - - - (a) \\ 6x + 2y = - 18 - - - (b) \\ 2 \times (a) - (b) : \\ = > 0x - 10y = - 30 \\ 10y = 30 \\ y = 3 \\ \\ 3x = - 12 \\ x = - 4 \\ { \boxed{x = - 4}} \: \: \\ { \boxed{y \: = \: 3}}[/tex]
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
Answer:
[tex]P(x \le 21) = 0.69146[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]n = 64[/tex] --- population
[tex]\mu = 20[/tex] --- population mean
[tex]\sigma = 16[/tex] -- population standard deviation
Required
[tex]P(x \le 21)[/tex]
First, calculate the sample standard deviation
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]
[tex]\sigma_x = \frac{16}{8}[/tex]
[tex]\sigma_x = 2[/tex]
Next, calculate the sample mean [tex]\bar_x[/tex]
[tex]\bar x = \mu[/tex]
So:
[tex]\bar x = 20[/tex]
So, we have:
[tex]\sigma_x = 2[/tex]
[tex]\bar x = 20[/tex]
[tex]x = 21[/tex]
Calculate the z score
[tex]x = \frac{x - \mu}{\sigma}[/tex]
[tex]x = \frac{21 - 20}{2}[/tex]
[tex]x = \frac{1}{2}[/tex]
[tex]x = 0.50[/tex]
So, we have:
[tex]P(x \le 21) = P(z \le 0.50)[/tex]
From the z table
[tex]P(z \le 0.50) = 0.69146[/tex]
So:
[tex]P(x \le 21) = 0.69146[/tex]
A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth
Answer:
2 meters
Step-by-step explanation:
Given
[tex]a= 8m[/tex] --- initial
[tex]r = \frac{1}{2}m/year[/tex] --- rate
[tex]t = 12\ yrs[/tex]
[tex]Nail = 2m[/tex]
Required
The height of the nail after 12 years
The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.
This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.
Hence, the height of the nail after 12 years in 2m
The difference of two times a number and five is eight more than the number.
find the equation and solve for x
Answer:
x = 13
Step-by-step explanation:
The difference of two times a number and 5: [tex]2x-5[/tex]
Eight more than a number: [tex]x + 8[/tex]
You can create the following equality with this:
[tex]2x - 5 = x + 8[/tex]
Which is solved as follows:
[tex]2x-5=x+8\\2x-x=8+5\\x=13[/tex]
Answer:X= 13
Step-by-step explanation:
Step 1:
Let the unknown number be x
Such that the difference of two times a number and five is represented mathematically as 2x -5
And eight more than the number can be expressed as
8 +x
Joining the two expressions to get an equation becomes 2x-5= 8+x
Step 2: Solving for x
2x-5= 8+x
We first find like terms and solve
2x-x=8+5
We are now left with
x=13 as the answer.
See related question and answer here: https://brainly.com/question/17882257
Find the equation of the linear relationship.
Answer:
y = -3x + 150
Step-by-step explanation:
2 points on the graph:
(30, 60) and (40, 30)
Slope:
m=(y2-y1)/(x2-x1)
m=(30 - 60)/(40 - 30)
m= (-30)/10
m= -3
Slope-intercept:
y - y1 = m(x - x1)
y - 60 = -3(x - 30)
y - 60 = -3x + 90
y = -3x + 150
Suck please help thanks
Find the length of side b
B= _m
Answer:
b= 0.09475
Step-by-step explanation:
Find the graph of the inequality y+2>-3(x+1)
Answer:
Below.
Step-by-step explanation:
y + 2 > -3(x + 1)
y + 2 > -3x - 3
y > -3x - 5
The graph will be the graph of the line y = -3x - 5 (dotted line), with the area above the line shaded.
If the surface area of the cone below is 628.32 m², find its volume.
I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS
Answer:
1586.91 m³
Step-by-step explanation:
From the diagram attached,
Applying,
A = πrl.................. Equation 1
Where A = surface area of the cone, l = slight heigth of the cone, π = pie.
make l the subject of the equation,
l = A/πr.............. Equation 2
From the question,
Given: A = 628.32 m², π = 3.14, r = 8 m
Substitite these values into equation 2
l = 628.32/(3.14×8)
l = 25 m
But,
l² = h²+r².................... Equation 3
Where h = height of the cone.
h = √(l²-r²)
h = √(25²-8²)
h = √(625-64)
h = √(561)
h = 23.69 m
Also Applying,
V = 1/3πr²h
Where V = volume of the cone.
Therefore,
V = (3.14×8²×23.69)/3
V = 1586.91 m³